diff --git a/Contrib/CollegeofIdaho/Statistics/set03IntroCorrRegress/Stats_16_IntroCorrRegress.pg b/Contrib/CollegeofIdaho/Statistics/set03IntroCorrRegress/Stats_16_IntroCorrRegress.pg index 06aea11223..a48f22d0fd 100644 --- a/Contrib/CollegeofIdaho/Statistics/set03IntroCorrRegress/Stats_16_IntroCorrRegress.pg +++ b/Contrib/CollegeofIdaho/Statistics/set03IntroCorrRegress/Stats_16_IntroCorrRegress.pg @@ -1,4 +1,6 @@ ## DESCRIPTION +## For a dataset, find the correlation coefficient and the regression line. +## ENDDESCRIPTION ## DBsubject(Statistics) ## DBchapter(Simple linear regression) ## DBsection(Regression) @@ -12,143 +14,92 @@ ## Problem1('') ## KEYWORDS('statistic', 'regression','correlation') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "answerHints.pl", - "contextCurrency.pl", - "niceTables.pl", - "parserPopUp.pl", - "PGchoicemacros.pl" - ); - -TEXT(beginproblem()); - -################################################# + 'PGstandard.pl', 'PGML.pl', + 'answerHints.pl', 'contextCurrency.pl', + 'PGstatisticsmacros.pl', 'parserPopUp.pl', + 'PGcourse.pl' +); + # Set-up -@b = (32.98, 49.72, 88.01, 97.34, 64.30, 106.27, 52.44, 70.29, 43.58); -@ab=('32.98', '49.72', '88.01', '97.34', '64.30', '106.27', '52.44', '70.29', '43.58'); -@t = ( 4.50, 5.28, 10.00, 16.00, 7.70, 16.00, 7.00, 10.00, 5.50); -@at =('4.50', '5.28', '10.00', '16.00', '7.70', '16.00', '7.00', '10.00', '5.50'); +@b = (32.98, 49.72, 88.01, 97.34, 64.30, 106.27, 52.44, 70.29, 43.58); +@ab = ( + '32.98', '49.72', '88.01', '97.34', '64.30', '106.27', + '52.44', '70.29', '43.58' +); +@t = (4.50, 5.28, 10.00, 16.00, 7.70, 16.00, 7.00, 10.00, 5.50); +@at = ( + '4.50', '5.28', '10.00', '16.00', '7.70', '16.00', + '7.00', '10.00', '5.50' +); -@slice = NchooseK(9,6); +@slice = random_subset(6, 0 .. 8); -@sb = @b[@slice]; +@sb = @b[@slice]; @sab = @ab[@slice]; -@st = @t[@slice]; +@st = @t[@slice]; @sat = @at[@slice]; -$sx = 0; -$sy = 0; -$sxy = 0; -$sx2 = 0; -$sy2 = 0; - -for($i=0;$i<6;$i++){ - $sx = $sx + $sb[$i]; - $sy = $sy + $st[$i]; - $sxy = $sxy + $sb[$i] * $st[$i]; - $sx2 = $sx2 + ($sb[$i])**2; - $sy2 = $sy2 + ($st[$i])**2; -} -$ssxy = $sxy-(($sx*$sy)/6); -$ssx = $sx2-(($sx**2)/6); -$ssy = $sy2-(($sy**2)/6); - -$r = $ssxy/sqrt($ssx*$ssy); +$r = sample_correlation(~~@sat, ~~@sab); +($m, $b) = linear_regression(~~@sab, ~~@sat); $explainb = "\(r\) is close to \(1.\)"; -$popupb = PopUp(["?", "No", "Yes"], "Yes"); -$popupe = PopUp(["?", "Decrease", "Increase"], "Increase"); - -$b0 = sprintf("%0.5f",($sy * $sx2 - $sx * $sxy)/(6 * $sx2 - ($sx)**2)); - -$b1 = sprintf("%0.5f",(6 * $sxy - $sx * $sy)/(6 * $sx2 - ($sx)**2)); - -$bill = random(40,100,5); -$tip = $b0 + $b1*$bill; - -$increase = random(5,10,5); -$changetip = $increase * $b1; - -################################################# -# Main - -BEGIN_TEXT -The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. Use RStudio to find the following. -$BR -\{ -LayoutTable( - [ - [['Bill',b =>1, noencase=>1],"$sab[0]", "$sab[1]", "$sab[2]", "$sab[3]", "$sab[4]", "$sab[5]"], - [['Tip',b =>1, noencase=>1],"$sat[0]", "$sat[1]", "$sat[2]", "$sat[3]", "$sat[4]", "$sat[5]"], - ], - align => ' l |rrrrrr', - encase => ['\(','\)'], - allcellcss => 'padding:8px; ' -); -\} -$PAR -(a) Compute the correlation: \( r =\) \{ans_rule(15)\} -$PAR -(b) Does there appear to be a significant correlation? -$BR $SPACE $SPACE -Answer: \{ $popupb->menu() \} -$PAR -(c) The regression equation is \(\hat{y}=\) \{ans_rule(15)\}. -$BR $BR -${BITALIC}For parts (d) and (e): Enter your answer in dollars: ${DOLLAR}xx.xx$EITALIC -$PAR -(d) If the amount of the bill is $DOLLAR\($bill,\) the best prediction for the amount of the tip is - \{ans_rule(10)\}. -$PAR -(e) According to the regression equation, for every $DOLLAR\($increase \) increase in the bill, the tip should \{ $popupe->menu() \} by \{ans_rule(10)\}. -END_TEXT - -################################################# -# Answers - -$showPartialCorrectAnswers = 1; - -$ans_a = Compute($r)->with(tolType=>'absolute', tolerance=>'0.005'); - ANS($ans_a->cmp->withPostFilter(AnswerHints( - sub { - my ($correct,$student,$anshash) = @_; - return abs($student-$correct) < .02; - } => ["Your answer is close. Try the calculation using more accuracy."]))); - -ANS( $popupb->cmp() ); - -$ans_c = Formula("$b0 + $b1 x"); -ANS($ans_c->with(tolType=>'absolute', tolerance=>'0.001')->cmp); +$popupb = DropDown([ "No", "Yes" ], "Yes"); +$popupe = DropDown([ "Decrease", "Increase" ], "Increase"); + +$line = Formula("$m *x + $b"); + +$bill = random(40, 100, 5); +$tip = $line->eval(x => $bill); + +$increase = random(5, 10, 5); +$changetip = $increase * $m; Context("Currency"); -$ans_d = Currency($tip); -ANS($ans_d->with(tolType=>'absolute', tolerance=>'0.04')->cmp); - -ANS( $popupe->cmp() ); - -$ans_e2 = Currency($changetip); -ANS($ans_e2->with(tolType=>'absolute', tolerance=>'0.04')->cmp); - -################################################# -# Solution - -Context()->texStrings; -BEGIN_SOLUTION -$BR -(a) \(r = $ans_a\) -$BR -(b) ${BBOLD}\{ $popupb->correct_ans() \}${EBOLD}, $explainb -$BR -(c) \(\hat{y} = $ans_c \) -$BR -(d) The predicted amount is \($b0 + $b1($bill) = $tip\) \(\longrightarrow\) \($ans_d\). -$BR -(e) The tip should ${BBOLD}\{ $popupe->correct_ans() \}$EBOLD by \($ans_e2\). -END_SOLUTION - -ENDDOCUMENT(); # This should be the last executable line in the problem. +$ans_d = Currency($tip)->with(tolType => 'absolute', tolerance => '0.04')->cmp; + +# ANS( $popupe->cmp() ); + +$ans_e2 = + Currency($changetip)->with(tolType => 'absolute', tolerance => '0.04')->cmp; + +BEGIN_PGML +The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. + +[# + [. **Bill** .] [. [$sab[0]] .][. [$sab[1]] .][. [$sab[2]] .] + [. [$sab[3]] .][. [$sab[4]] .][. [$sab[5]] .]* + [. **Tip** .] [. [$sat[0]] .][. [$sat[1]] .][. [$sat[2]] .] + [. [$sat[3]] .][. [$sat[4]] .][. [$sat[5]] .]* +#]{align => 'r|rrrrrr', padding => [0.5,0.5]} + +a) Compute the correlation: [` r =`] [_]{Real($r)}{15} + +b) Does there appear to be a significant correlation? [_]{$popupb} + +c) The regression equation is [`\hat{y}=`] [_]{$line}{15}. + + _For parts (d) and (e): Enter your answer in dollars: $xx.xx_ + +d) If the amount of the bill is $[`[$bill],`] the best prediction for the amount of the tip is [_]{$ans_d}{10}. + +e) According to the regression equation, for every $[`[$increase] `] increase in the bill, the tip should [_]{$popupe} by [_]{$ans_e2}{10}. +END_PGML + +BEGIN_PGML_SOLUTION + +a) [`r = [$r]`] + +b) [$explainb]* + +c) [`\hat{y} = [$line] `] + +d) The predicted amount is [`[$b] + [$m]([$bill]) = [$tip]`] + +e) The tip should [`[@ 10*$m @]`] +END_PGML_SOLUTION + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/Contrib/Fitchburg/Arithmetic/UnitConversion/dim_anal_steps.pg b/Contrib/Fitchburg/Arithmetic/UnitConversion/dim_anal_steps.pg new file mode 100644 index 0000000000..1a63975a65 --- /dev/null +++ b/Contrib/Fitchburg/Arithmetic/UnitConversion/dim_anal_steps.pg @@ -0,0 +1,197 @@ +## DESCRIPTION +## Step through two problems using Dimensional Analysis +## ENDDESCRIPTION + +## KEYWORDS('units', 'dimensional', 'analysis') + +## DBsubject('Algebra') +## DBchapter('Fundamentals') +## DBsection('Real Numbers') +## Date('2025-01-21') +## Author('Peter Staab') +## Institution('Fitchburg State University') + +DOCUMENT(); + +loadMacros( + "PGstandard.pl", "PGML.pl", + 'randomPerson.pl', 'scaffold.pl', + 'parserMultiAnswer.pl', 'contextUnits.pl', + "PGcourse.pl", +); + +Context('LimitedUnits')->withUnitsFor("length", 'time'); + +$m = random(3, 7); + +$equiv = sub { + my ($correct, $student, $self) = @_; + my ($s1, $s2) = @{$student}; + my ($f1, $f2) = @{$correct}; + + return + ( + ( + $f1->number == $s1->number + && $f1->unit == $s1->unit + && $f2->number == $s2->number + && $f2->unit == $s2->unit + ) + || ($f1->number == $s2->number + && $f1->unit == $s2->unit + && $f2->number == $s1->number + && $f2->unit == $s1->unit) + ) ? [ 1, 1 ] + : ( + ($f1->number == $s1->number && $f1->unit == $s1->unit) + || ($f2->number == $s1->number + && $f2->unit == $s1->unit) + ) ? [ 1, 0 ] + : ($f1->number == $s2->number && $f1->unit == $s2->unit + || $f2->number == $s2->number && $f2->unit == $f2->unit) ? [ 0, 1 ] + : [ 0, 0 ]; +}; + +$multians1 = MultiAnswer(Compute('1 mi'), Compute('5280 ft'))->with( + singleResult => 0, + checker => $equiv +); + +$p = randomPerson(); + +$speed = random(8, 16, 2); +$min = random(20, 50, 5); + +BEGIN_PGML +This problem walks you through how to approach two different problems using dimensional analysis. Recall that you start with some quantity and multiply by "convenient forms of 1". +END_PGML + +Scaffold::Begin(); +Section::Begin('Part 1'); + +BEGIN_PGML +For this problem, we will want to solve: Convert [$m] miles to feet. + +First, what is the conversion equation between miles and feet? + +[_]{$multians1} [`=`] [_]{$multians1} + + +[@ helpLink('units')@]* +END_PGML + +BEGIN_PGML_SOLUTION +This uses the fact that 1 mile = 5280 ft. +END_PGML_SOLUTION + +Section::End(); + +Section::Begin('Peforming the conversion'); + +$ans1 = Compute('1 mi'); +$ans2 = Compute('5280 ft'); +$d = $m * 5280; +$feet = Compute("$d ft"); + +BEGIN_PGML + +To peform the conversion , start with the [$m] miles and then multiply by the rate as a fraction given by the conversion equation [`1\;\text{mi} = 5280\;\text{ft}`]. + +[@ LayoutTable( + [ [ + PGML('[`` [$m] \; \text{miles} \cdot ``]'), + LayoutTable([ [ [ PGML('[_]{$ans2->cmp(sameUnits => 1)}'), bottom => 1 ] ], [ PGML('[_]{$ans1->cmp(sameUnits => 1)}') ] ]), + PGML('[` = `]'), + PGML('[_]{$feet}') + ] ], + valign => 'middle', + padding => [ 0.25, 0.1 ] +); @]* + +[@ helpLink('units')@]* +END_PGML + +BEGIN_PGML_SOLUTION +We first use the fact that 1 mi = 5280 ft. This will go into the first fraction where the miles are in the bottom to ensure cancelling the miles term. + +[```[$m]\;\text{miles} \cdot \frac{5280\;\text{ft}}{1\;\text{mi}} = [$feet]```] +END_PGML_SOLUTION + +Section::End(); + +Section::Begin('Part 2'); + +$ans3 = Compute(' 1 hr'); +$ans4 = Compute('60 min'); + +$ans5 = Compute("$speed mi"); +$ans6 = Compute("1 hr"); + +$miles = $min * $speed / 60; +$dist = Compute("$miles mi"); + +$multians2 = MultiAnswer($ans3, $ans4)->with( + singleResult => 0, + checker => $equiv +); + +$multians3 = MultiAnswer($ans5, $ans6)->with( + singleResult => 0, + checker => $equiv +); + +BEGIN_PGML +We now want to solve the problem: [$p] bikes at the rate of [$speed] miles per hour. If [$p->they] [$p->verb('bike')] for [$min] minutes, how many miles does [$p] ride? + + +For this problem, we have two conversion equations. The first is the conversion between hours and minutes: + +[_]{$multians2} [`=`] [_]{$multians2} + +The second is the rate at which [$p->they] [$p->verb('bike')]. + +[_]{$multians3} [`=`] [_]{$multians3} + +[@ helpLink('units')@]* +END_PGML + +BEGIN_PGML_SOLUTION +For this, we first need that 1 hour = 60 minutes and the second uses the given rate for the second equation [`[$speed]\;\text{miles} = 1\;\text{hour}`]. +END_PGML_SOLUTION +Section::End(); + +Section::Begin('Finding the distance'); + +BEGIN_PGML +Find the number of miles that [$p] bikes in [$min] minutes. + +Fill in the following expression where the first fraction involve the first conversion equation, [`1\;\text{hr} = 60\;\text{min}`] and the second fraction involves the second conversion equation, [`[$speed]\;\text{mi} = 1\;\text{hr}`] + +[@ LayoutTable( + [ [ + PGML('[`` [$min] \; \text{min} \cdot ``]'), + LayoutTable([ [ [ PGML('[_]{$ans3->cmp(sameUnits => 1)}'), bottom => 1 ] ], + [ PGML('[_]{$ans4->cmp(sameUnits => 1)}') ] ]), + PGML('[` \cdot `]'), + LayoutTable([ [ [ PGML('[_]{$ans5->cmp(sameUnits => 1)}'), bottom => 1 ] ], + [ PGML('[_]{$ans6->cmp(sameUnits => 1)}') ] ]), + PGML('[` = `]'), + PGML('[_]{$dist->cmp(sameUnits => 1)}') + ] ], + valign => 'middle', + padding => [ 0.25, 0.1 ] +); @]* + +[@ helpLink('units')@]* +END_PGML +BEGIN_PGML_SOLUTION +For this we use the two conversion equations found above with the goal of converting the minutes to miles. The first will be the fraction using the first conversion equation with min in the bottom to cancel the minute term. The second will be to use the second conversion equation with hour in the bottom to cancel the hour term and have miles in the top. + +[```[$min]\;\text{min} \cdot \frac{1\;\text{hr}}{60\;\text{min}} \cdot +\frac{[$speed]\;\text{mi}}{1\;\text{hr}} = [$dist]```] +END_PGML_SOLUTION + +Section::End(); +Scaffold::End(); + +ENDDOCUMENT(); diff --git a/Contrib/Mizzou/Finite_Math/Compound_Interest/ComputeDownPayment2.pg b/Contrib/Mizzou/Finite_Math/Compound_Interest/ComputeDownPayment2.pg index ee5727c42f..b3bcf6a2fd 100644 --- a/Contrib/Mizzou/Finite_Math/Compound_Interest/ComputeDownPayment2.pg +++ b/Contrib/Mizzou/Finite_Math/Compound_Interest/ComputeDownPayment2.pg @@ -12,77 +12,46 @@ ## Author2('Jason Aubrey') ## Institution('University of Missouri') -######################################################################## +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -DOCUMENT(); +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextCurrency.pl", - "PeriodicRerandomization.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'contextCurrency.pl', 'randomPerson.pl', + 'PGcourse.pl' ); -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); +Context("Currency")->variables->are(t => Real); -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; +$house_value = Currency(random(150000, 250000, 2000)); +$down = Currency(random(12.5, 17.5, 0.5)); +$apr = random(2, 6, 0.001); +$r = $apr/100; +$months = random(15, 36, 3); +$t = $months/12; +$P = $house_value * $down / 100; # amount to raise +$f = Compute("$P e^(-$r*t)"); +$A = $f->eval(t => $t); -############################################################## -# -# Setup -# -# +($p1, $p2) = randomPerson(n => 2); -Context("Numeric"); +BEGIN_PGML -$house_value = random(150000,250000,2000); -$down = random(12.5,17.5,0.5); -$annual_interest_rate = random(2,6,0.001); -$months = random(15,36,3); -$amount = $house_value*$down/100; -$e = Real("e"); -$answer = $amount*($e**(-$annual_interest_rate*$months/1200)); +[$p1] and [$p2] estimate that they want to buy a house for [`[$house_value]`], and they need to make a down payment of [$down]% of the cost of their house. If they have [`[$months]`] months to save for the down payment, how much do they need to invest into an account earning [$annual_interest_rate]% compounded continuously so that they can reach their goal? -Context("Currency"); -$house_value = Currency($house_value); -$amount = Currency($amount); -$answer = Currency($answer); +[$p1] and [$p2] need to invest [_]{$A} -############################################################## -# -# Text -# +(*Note:* Your answer should have a dollar sign and be accurate to two decimal places) -Context()->texStrings; -BEGIN_TEXT +END_PGML -Mike and Terri estimate that they want to buy a house for \($house_value\), and they need to make a down payment of \($down $PERCENT\) of the cost of their house. If they have \($months\) months to save for the down payment, how much do they need to invest into an account earning \($annual_interest_rate $PERCENT\) compounded continuously so that they can reach their goal? +BEGIN_PGML_SOLUTION +First, they need to raise [` \frac{[$down]}{100} \cdot [$house_value] = [$P] `] -$PAR -Mike and Terri need to invest \{ANS_RULE(10)\}. -$PAR +Next, we use the formula [`A = Pe^{it} `], where [`A`] is the amount above, [`i`] is the annual percentage rate or [$r] and [`t`] is the number of years or [$t]. Solving this for [`P`] results in +[``` P = A e^{-it} = [$P] e^{-[$r]\cdot [$t]} = [$A] ```] +END_PGML_SOLUTION -(${BBOLD}Note:$EBOLD Your answer should have a dollar sign and be accurate to two decimal places) -END_TEXT -Context()->normalStrings; - -PeriodicRerandomization("5"); #Problem resets itself after 3 attempts - -PeriodicStatus( - "Generate a new version of this problem", - "You have ${attempts_modp_remaining} attempt(s) remaining before you will receive a new version of this problem." - ); - -############################################################## -# -# Answers -# -# -ANS($answer->with(tolerance=>.05)->cmp); - -COMMENT('MathObject version', 'Features PeriodicRerandomization'); ENDDOCUMENT(); diff --git a/Contrib/Mizzou/Finite_Math/Compound_Interest/Mortgage_1.pg b/Contrib/Mizzou/Finite_Math/Compound_Interest/Mortgage_1.pg index 1253fa323a..2f73ad108e 100644 --- a/Contrib/Mizzou/Finite_Math/Compound_Interest/Mortgage_1.pg +++ b/Contrib/Mizzou/Finite_Math/Compound_Interest/Mortgage_1.pg @@ -12,104 +12,68 @@ ## Author2('Jason Aubrey') ## Institution('University of Missouri') -######################################################################## +DOCUMENT(); -DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextCurrency.pl', 'PGcourse.pl'); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextCurrency.pl", - "PGcourse.pl" +Context("Currency"); +Context()->flags->set( + tolerance => 0.05, + tolType => "absolute" ); -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); +$house_value = Currency(random(100000, 250000, 10000)); +$financed = .8 * $house_value; +$years1 = random(13, 19); +$n1 = 360 - 12 * $years1; +$years2 = $years1 + 1; +$n2 = $n1 - 12; -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; +$rate = random(4, 8, 0.02); +$i = $rate / 1200; -############################################################## -# -# Setup -# -# -Context("Numeric"); -$house_value = random(100000,250000,10000); -$financed = .8*$house_value; -$years1 = random(13,19); -$n1 = 360 - 12*$years1; -$years2 = $years1 + 1; -$n2 = $n1 - 12; +$PMT = $i * $financed / (1 - (1 + $i)**(-365)); +$pv_years1 = (1 - (1 + $i)**(-$n1)) * $PMT / $i; +$pv_years2 = (1 - (1 + $i)**(-$n2)) * $PMT / $i; -$rate = random(4,8,0.02); -$i = $rate/1200; +$paid = 12 * $PMT; +$int_paid = $paid - ($pv_years1 - $pv_years2); -$PMT = $i * $financed / (1 - (1+$i)**(-365)); -$pv_years1 = (1-(1+$i)**(-$n1))*$PMT / $i; -$pv_years2 = (1-(1+$i)**(-$n2))*$PMT / $i; +# Text +BEGIN_PGML +Fifteen years ago a couple purchased a house for [` [$house_value] `] by paying a 20% down payment and financing the remaining balance with a 30-year mortgage at [`[$rate]`]% compounded monthly. -Context("Currency"); -Context()->flags->set( - tolerance => 0.05, - tolType => "absolute" -); +a) Find the monthly payment for this loan. -$house_value = Currency($house_value); -$financed = Currency($financed); -$PMT = Currency($PMT); -$paid = 12*$PMT; + Monthly Payment: [_]{$PMT} -$pv_years1 = Currency($pv_years1); -$pv_years2 = Currency($pv_years2); -$paid = 12*$PMT; -$int_paid = $paid - ($pv_years1 - $pv_years2); -############################################################## -# -# Text -# -# - -Context()->texStrings; -BEGIN_TEXT -Fifteen years ago a couple purchased a house for \( $house_value \) by paying a 20 $PERCENT down payment and financing the remaining balance with a 30-year mortgage at \($rate\)$PERCENT compounded monthly. -$PAR -(a) Find the monthly payment for this loan. -$PAR -Monthly Payment: \{ans_rule(10)\} (${BBOLD}Note: $EBOLD Your answer should include a dollar sign and be accurate to two decimal places) -$PAR -(b) Find the balance of the loan after \( $years1 \) years and after \( $years2 \) years? -$PAR -$BCENTER -\{ begintable(2) \} -\{ row( "After $years1 years", undef,"After $years2 years", undef) \} -\{ row( "\(n=\)", ans_rule(3),"\(n=\)", ans_rule(3) ) \} -\{ row( "Loan Balance: ", ans_rule(10), "Loan Balance: ", ans_rule(10) ) \} -\{ endtable() \} -$ECENTER -(${BBOLD}Note: $EBOLD The balance amounts should include a dollar sign and be accurate to two decimal places) -$PAR -(c) Find the total amount of interest paid by the couple during the \{$years2."th"\} year. -$PAR -Interest Paid During \{$years2."th"\} year: \{ans_rule(10)\} (${BBOLD}Note: $EBOLD Your answer should include a dollar sign and be accurate to two decimal places) -END_TEXT -Context()->normalStrings; - -############################################################## -# -# Answers -# -# - -ANS($PMT->with(tolerance=>.5)->cmp); -ANS(Real($n1)->cmp); -ANS(Real($n2)->cmp); -ANS($pv_years1->with(tolerance=>1)->cmp); -ANS($pv_years2->with(tolerance=>1)->cmp); -ANS($int_paid->with(tolerance=>1)->cmp); - -COMMENT('MathObject version'); +b) Find the balance of the loan after [` [$years1] `] years and after [` [$years2] `] years? + + [# + [.After [$years1] years.] [. .] [.After [$years2] years.] [. .]*{headerrow => 1} + [. [`n=`].][.[_]{$n1} .][. [`n=`].][.[_]{$n2} .]* + [. Loan balance .] [. [_]{$pv_years1} .] + [. Loan balance .] [. [_]{$pv_years2} .]* + #]{horizontalrules => 1, align => '|c|c|c|c|'} + + +c) Find the total amount of interest paid by the couple during the [$years2]th year: [_]{$int_paid} + +(*Note:* All answers with monetary solutions should include a dollar sign and be accurate to two decimal places) +END_PGML + +BEGIN_PGML_SOLUTION +First, we're only considering the amount of the loan (not the down payment). The total loan amount will be 80% of [$house_value] which is [@ 0.8*$house_value@]. + +a) to find the monthly payment, we use the formula +[``` m = I_0 \frac{i(1+i)^t}{(1+i)^t-1} ```] +where [`I_0`] is the amount of the loan (mortgage), [`i`] is the monthly interest rate, and [`t`] is the total number of payments, which is usually the number of months of the loan. + + In this case, [`I = [@0.8*$house_value @] `], [``i=\frac{[$rate]}{12 \cdot 100} ``] and [`t=360`]. The resulting monthly payment is [$PMT]. + +b) +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/Contrib/Mizzou/Finite_Math/Compound_Interest/Scholarship.pg b/Contrib/Mizzou/Finite_Math/Compound_Interest/Scholarship.pg index cf13853eab..35a32b22dc 100644 --- a/Contrib/Mizzou/Finite_Math/Compound_Interest/Scholarship.pg +++ b/Contrib/Mizzou/Finite_Math/Compound_Interest/Scholarship.pg @@ -12,90 +12,87 @@ ## Author2('Jason Aubrey') ## Institution('University of Missouri') -######################################################################## - -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextCurrency.pl", - "answerHints.pl", - "PGcourse.pl" -); - -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); - -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; - -############################################################## -# -# Setup -# -# - -Context("Numeric"); - -$interest = random(500,1500,100); -$annual_interest_rate = random(2,8,0.001); -$e = Real("e"); -$compoundings_per_year = list_random(0,4,12,52,365); - -if($compoundings_per_year == 0){ -$periodically = continuously;} -elsif($compoundings_per_year == 4){ -$periodically = quarterly;} -elsif($compoundings_per_year == 12){ -$periodically = monthly;} -elsif($compoundings_per_year == 52){ -$periodically = weekly;} -elsif($compoundings_per_year == 365){ -$periodically = daily;} - -if($compoundings_per_year == 0){ -$apy = exp($annual_interest_rate/100) - 1; -$answer = $interest/$apy;} -else{ -$apy = (1+$annual_interest_rate/($compoundings_per_year*100))**$compoundings_per_year - 1; -$answer = $interest/$apy;} +## Updated 2025.02 by Peter Staab, switch to PGML -Context("Currency"); -$interest = Currency($interest); -$answer = Currency($answer); - -############################################################## -# -# Text -# - -Context()->texStrings; -BEGIN_TEXT - -Most scholarships are established by making a one time deposit into an account. The scholarship money is then taken from the earned interest on the account at the end of each investment year. How much money should you deposit into an account earning an annual interest rate of \($annual_interest_rate $PERCENT\) compounded $periodically to establish an annual scholarship worth \($interest\)? - -$PAR -\{ANS_RULE(10)\} -$PAR +DOCUMENT(); -(${BBOLD}Note:$EBOLD Your answer should have a dollar sign and be accurate to two decimal places) +loadMacros('PGstandard.pl', 'PGML.pl', 'contextCurrency.pl', 'PGcourse.pl'); -END_TEXT -Context()->normalStrings; - - -$showHint = 3; -BEGIN_HINT -You need to determine how much money needs to be deposited in the account such that after one year, you earn $interest in interest. -END_HINT - -############################################################## -# -# Answers -# -# -ANS(Compute($answer)->with(tolerance=>.05)->cmp); +Context("Currency"); -COMMENT('MathObject version', 'Hint included'); +$interest = Currency(random(500, 1500, 100)); +$apr = random(2, 8, 0.001); +$k = list_random(0, 4, 12, 52, 365); +$i = 0.01*$apr/$k; + +$periodically = + $k == 0 ? 'continuously' + : $k == 4 ? 'quarterly' + : $k == 12 ? 'monthly' + : $k == 52 ? 'weekly' + : 'daily'; + +$apy = $k == 0 ? exp($apr / 100) - 1 : (1 + $i)**$k - 1; +$amt = $interest / $apy; + +BEGIN_PGML + +Many scholarships are established by making a one time deposit into an account. The scholarship money is then taken from the earned interest on the account at the end of each investment year. How much money should you deposit into an account earning an annual interest rate of [$apr]% compounded [$periodically] to establish an annual scholarship worth [`[$interest]`]? + + [_]{$amt} + +(*Note:* Your answer should have a dollar sign and be accurate to two decimal places) + +END_PGML + +if ($k == 0) { +BEGIN_PGML_HINT +You need to determine how much money needs to be deposited in the account such that after one year, you earn [$interest] in interest. + +Do determine the amount, use the future value formula: +[``` P_t = P e^{rt} ```] +and realize that the interest made is [`` I = P_t - P = P e^{rt} - P = P(1-e^{rt})``] + +Solve this for [`P`] with the given information. +END_PGML_HINT +} else { +BEGIN_PGML_HINT +You need to determine how much money needs to be deposited in the account such that after one year, you earn [$interest] in interest. + +Do determine the amount, use the future value formula: +[``` P_t = P(1+i)^t ```] +with [`i`] as the periodic interest rate and [`t`] as the number of period in a year. Then realize that the interest made is [`` I = P_t - P = P(1+i)^t - P = P\left((1+i)^t-1\right)``] + +Solve this for [`P`] with the given information. +END_PGML_HINT +} + +if ($k == 0) { +BEGIN_PGML_SOLUTION +Since in this situation, the interest is compounded continuously, the amount is given by +[``` A = P e^{rt} ```] +where [`P`] is the original amount, [`r`] is the annual rate as a fraction and [`t`] is the time period. + +The interest generate is the total amount minus the original amount or +[``` I = P e^{rt} - P = P(e^{rt}-1)```] +Solving for [`P`] results in +[``` P = \frac{I}{e^{rt}-1}```] +Using [`I = [$interest]`], and [`r = [@ 0.01*$apr@]`] and since the desire is to use the interest after one year, then [`t=1`]. Substituting these values results in +[``` P = [$amt] ```] +END_PGML_SOLUTION + +} else { +BEGIN_PGML_SOLUTION +We will use the equation +[``` A = P\left(1+i\right)^t ```] +where [`P`] is the amount in account originally, [`A`] is the amount after [`t`] compounding periods, with [`i=r/k`], the periodic percentage rate (as a fraction) and [`k`] the number of compounding periods per year. + +If we only want the interest, we subtract off the original amount, so +[``` I = P\left(1+i\right)^t - P = P\left(\left(1+i\right)^t-1\right) ```] +or solving for [`P`] +[```P = \frac{I}{\left(1+i\right)^t-1}```] +with [`I=[$interest]`], [``i=\frac{r}{k} = \frac{[@ 0.01*$apr@]}{[$k]} = [@ sprintf('%.6f',$i) @]``], and since this is desired in one year, [`t=[$k]`]. The result is +[```P = [$amt]```] +END_PGML_SOLUTION +} ENDDOCUMENT(); diff --git a/Contrib/NewHampshire/NECAP/grade11/gr11-2008/perltidy.ERR b/Contrib/NewHampshire/NECAP/grade11/gr11-2008/perltidy.ERR new file mode 100644 index 0000000000..da387b6a7b --- /dev/null +++ b/Contrib/NewHampshire/NECAP/grade11/gr11-2008/perltidy.ERR @@ -0,0 +1,29 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +23: Note: include the units and provide at least 3 digits of precisi ... + - ^ +found bareword where operator expected (previous token underlined) + +23: ... least 3 digits of precision. Use 1 knot is 1.151 miles per hour ... + - ^ +found bareword where operator expected (previous token underlined) + +23: ... of precision. Use 1 knot is 1.151 miles per hour. + ----- ^ +found bareword where operator expected (previous token underlined) + +31: [``` [@ Round($speed_mph,3) @] \;\text{mph} \cdot \frac{1\; \tex ... + --^ +found String where operator expected (previous token underlined) + +32: [$speed] ```] + ^ +found String where operator expected + +Final nesting depth of '?'s is 1 +The most recent un-matched '?' is on line 21 +21: ... s [$p->their] average speed in knots? [__]{$speed} + ^ +36: To save a full .LOG file rerun with -g diff --git a/OpenProblemLibrary/270/setzKim/p6.pg b/OpenProblemLibrary/270/setzKim/p6.pg index 3ee9a86b8e..3569047a50 100644 --- a/OpenProblemLibrary/270/setzKim/p6.pg +++ b/OpenProblemLibrary/270/setzKim/p6.pg @@ -11,46 +11,27 @@ ## Level(2) ## KEYWORDS('Average','Averages') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); - -# # Now we do the randomization of variables, and other computations # as needed for this problem. Sometimes we compute the answers here. -# - -$a = random(1,9); -$b = random(-3,2); - -$ans1 = ($a+$b)/2; -# -# Now the problem text itself, with ans_rule's to indicate where the -# answers go. You can stop entering text, do more computations, and then -# start up again if you want. -# +$a = random( 1, 9); +$b = random(-3, 2); -BEGIN_TEXT -What is the average of $a and $b? - $PAR - Average = \{ans_rule(40)\} -END_TEXT +$avg = ($a + $b) / 2; -# -# Tell WeBWork how to test if answers are right. These should come in the -# same order as the answer blanks above. You tell WeBWork both the type of -# "answer evaluator" to use, and the correct answer. -# +BEGIN_PGML +What is the average of [$a] and [$b] ? -ANS(num_cmp($ans1)); + Average = [_]{Real($avg)}{10} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +The average of two values is the sum divided by 2. In this case +[``` \frac{[$a]+[$b]}{2} = [$avg] ```] +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setFinance/ch5revp1.pg b/OpenProblemLibrary/ASU-topics/setFinance/ch5revp1.pg index a3e149af76..7a4d7db646 100644 --- a/OpenProblemLibrary/ASU-topics/setFinance/ch5revp1.pg +++ b/OpenProblemLibrary/ASU-topics/setFinance/ch5revp1.pg @@ -11,50 +11,38 @@ ## Level(3) ## KEYWORDS('percent', 'mathematics for business', 'algebraic expression') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -$A = random(4,20,1)*100; -$b = random(2,9,1); +Context('LimitedNumeric') + ->flags->set(tolType => 'digits', tolerance => 2, tolTruncation => 1); -$c = random(4,15,1); -$r=$c/100; +$A = random(4, 20) * 100; +$b = random(2, 9); -$n=12*$b; -$i=$r/12; +$c = random(4, 15); +$r = $c / 100; -TEXT(EV2(<flags->set(tolType => 'digits', tolerance => 3, tolTruncation => 1); -$P = random(1,10,1)*100; -$b = random(2,18,1); -if($b==12) { - $b=8; -} +$P = random(1, 10) * 100; +$b = random(2, 18); +$b = 8 if ($b == 12); -$c = random(3,18,1); -$r=$c/100; +$c = random(3, 18); +$r = $c / 100; +$A = Real($P * (1 + $r / 12)**$b); -TEXT(EV2(< 10.5 ? (10.5 - $b) / $m + : $m * 10.5 + $b < -10.5 ? (-10.5 - $b) / $m + : 10.5; + +$xmin = + $m * -10.5 + $b > 10.5 ? (10.5 - $b) / $m + : $m * -10.5 + $b < -10.5 ? (-10.5 - $b) / $m + : -10.5; + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] (-11,-11) rectangle (11,11); +\draw[gray] (-10,-10) grid (10,10); +\draw[->,thick] (-10.5,0) -- (10.5,0) node[above left,outer sep=3pt] {\(x\)}; +\foreach \x in {-10,-8,...,-2,2,4,...,10} + \draw(\x,5pt) -- (\x,-5pt) node [below] {\(\x\)}; +\draw[->,thick] (0,-10.5) -- (0,10.5) node[below right,outer sep=3pt] {\(y\)}; +\foreach \y in {-10,-8,...,-2,2,4,...,10} + \draw (5pt,\y) -- (-5pt,\y) node[left] {\(\y\)}; +\draw[blue,ultra thick,<->] plot[domain=$xmin:$xmax] (\x,{$a*\x+$b}); +END_TIKZ + +$alt_text = "Graph of the line y=$a x + $b."; + +BEGIN_PGML_SOLUTION +A graph of the line is + +>> [![$alt_text]!]{$graph}{400} << + +a) The [`x`]-intercept is found by solving + [``` + \begin{aligned} + 0 & = [$a] x + [$b] \\ + -[$b] & = [$a] x \\ + -\frac{[$b]}{[$a]} & = x + \end{aligned} + ```] + +b) The [`y`]-intercept is the constant term or [$b]. + +c) The graph is not symmetric with respect to the [`x`]-axis. + +d) The graph is not symmetric with respect to the [`y`]-axis. + +e) The graph is not symmetric with respect to the origin. +END_PGML_SOLUTION + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setLinearModels/linregress.pg b/OpenProblemLibrary/ASU-topics/setLinearModels/linregress.pg index 1d6b129e3c..ae47388bb2 100644 --- a/OpenProblemLibrary/ASU-topics/setLinearModels/linregress.pg +++ b/OpenProblemLibrary/ASU-topics/setLinearModels/linregress.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## Linear Models +## Find a regression line for data involves public teacher salaries. ## ENDDESCRIPTION ## Tagged by LD @@ -11,87 +11,60 @@ ## Level(2) ## KEYWORDS('Statistics', 'Linear regression', 'line') -# -# First comes some stuff that appears at the beginning of every problem -# - -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGnumericalmacros.pl", - "PGstatisticsmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGchoicemacros.pl', 'PGnumericalmacros.pl', + 'PGstatisticsmacros.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); - -# -# Now we do the randomization of variables, and other computations -# as needed for this problem. Sometimes we compute the answers here. -# +Context('Numeric')->variables->are(t => Real); $numpoints = 11; -@year = (1990..2000); +@year = (1990 .. 2000); # coefficients of the polynomial -$a = random(922.05,942.05,.01); -$b = random(33167.68,33207.68,.01); +$a = random(922.05, 942.05, .01); +$b = random(33167.68, 33207.68, .01); +$reg = Regression->new(2, "regression", [ "const", "X1" ]); -$reg = Regression->new( 2, "regression", [ "const", "X1" ] ); +for $j (0 .. ($numpoints - 1)) { + $exact = $b + $a * ($year[$j] - 1990); + $salary[$j] = random(.95 * $exact, 1.05 * $exact, 0.001); + $salary[$j] = round($salary[$j]); -for $j (0..($numpoints-1)) { - $exact = $b + $a*($year[$j]-1990); - $salary[$j] = random(.95*$exact, 1.05*$exact, 0.001); - $salary[$j] = round($salary[$j]); - - $reg->include($salary[$j], [1, ($year[$j]-1990) ]); + $reg->include($salary[$j], [ 1, ($year[$j] - 1990) ]); } -@coeff= $reg->theta(); - -# -# Now the problem text itself, with ans_rule's to indicate where the -# answers go. You can stop entering text, do more computations, and then -# start up again if you want. -# - -BEGIN_TEXT - The table below contains the average public school classroom teacher's salaries, \(S\), - for an 11-year period. Letting \(t = 0\) represent 1990, use a graphing utility to - find a linear model for the data. -END_TEXT -BEGIN_TEXT -$PAR - $BCENTER -\{begintable(7)\} -\{row( "Year" , @year[0..5])\} -\{row("Salary", @salary[0..5])\} -\{endtable()\} -$PAR -\{begintable(6)\} -\{row("Year", @year[6..10])\} -\{row("Salary", @salary[6..10])\} -\{endtable()\} -$ECENTER - $PAR - - Salary, written as a function of \(t\) is given by -$BR$BR - \(S(t) = \) \{ans_rule(60)\} -END_TEXT - -# -# Tell WeBWork how to test if answers are right. These should come in the -# same order as the answer blanks above. You tell WeBWork both the type of -# "answer evaluator" to use, and the correct answer. -# - -$ans = "$coeff[0][0]+$coeff[0][1]*t"; -ANS(fun_cmp($ans, var => 't')); - -ENDDOCUMENT(); # This should be the last executable line in the problem. +@coeff = $reg->theta(); + +$tab = DataTable( + [ [ 'Year', 'Salary' ], map([ $year[$_], $salary[$_] ], 0 .. $#year) ], + tablecss => { border => '1px black solid' }, + allcellcss => { border => '1px black solid' } +); + +$linear_model = Formula("$coeff[0][0]+$coeff[0][1]*t"); + +BEGIN_PGML +The table below contains the average public school classroom teacher's salaries, [`S`], for an 11-year period. Letting [`t = 0`] represent 1990, use a graphing utility to find a linear model for the data. + +[$tab]* + +Salary, written as a function of [`t`] is given by + + [`S(t) = `] [_]{$linear_model} +END_PGML + +BEGIN_PGML_SOLUTION +To solve this problem, you should enter the data into some software (excel, google sheets, desmos, ...) that performs linear regression. Switch the years to [`t`] that range from 0 to 10 and perform the regression. You may need to read the help pages on the tool to do this. + +The result should be + +[```S(t) = [$linear_model] ```] +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/ASU-topics/setLinearModels/p4.pg b/OpenProblemLibrary/ASU-topics/setLinearModels/p4.pg index 1affb4cc77..ae5a9576df 100644 --- a/OpenProblemLibrary/ASU-topics/setLinearModels/p4.pg +++ b/OpenProblemLibrary/ASU-topics/setLinearModels/p4.pg @@ -12,54 +12,26 @@ ## Level(4) ## KEYWORDS('equation', 'line') -# -# First comes some stuff that appears at the beginning of every problem -# - -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGasu.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); - -# -# Now we do the randomization of variables, and other computations -# as needed for this problem. Sometimes we compute the answers here. -# - -$ea = random(10000,12000,10); -$eb = random(10000,15000,10); -$ya = random(1980,1990); -$yb = random(1991,2001); -$yc = random(2002,2020); - -$ans1 = (($eb-$ea)/($yb-$ya))*($yc-$ya)+$ea; - -# -# Now the problem text itself, with ans_rule's to indicate where the -# answers go. You can stop entering text, do more computations, and then -# start up again if you want. -# - -BEGIN_TEXT -Teaneck High had an enrollment of $ea in $ya and an enrollment of $eb in year $yb. -What is the predicted enrollment of Teaneck High in $yc if we assume a linear model? - $PAR - Predicted Enrollment = \{ans_rule(40)\} -END_TEXT +$ea = random(10000, 12000, 10); +$eb = random(10000, 15000, 10); +$ya = random(1980, 1990); +$yb = random(1991, 2001); +$yc = random(2002, 2020); -# -# Tell WeBWork how to test if answers are right. These should come in the -# same order as the answer blanks above. You tell WeBWork both the type of -# "answer evaluator" to use, and the correct answer. -# +$enroll = (($eb - $ea) / ($yb - $ya)) * ($yc - $ya) + $ea; -ANS(num_cmp($ans1,tolType=> 'absolute', tol=>1)); +BEGIN_PGML +Teaneck High had an enrollment of [$ea] in [$ya] and an enrollment of [$eb] in year [$yb]. +What is the predicted enrollment of Teaneck High in [$yc] if we assume a linear model? -ENDDOCUMENT(); # This should be the last executable line in the problem. + Predicted Enrollment = [_]{$enroll}{40} +END_PGML +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setLinearModels/perltidy.ERR b/OpenProblemLibrary/ASU-topics/setLinearModels/perltidy.ERR new file mode 100644 index 0000000000..804a264d52 --- /dev/null +++ b/OpenProblemLibrary/ASU-topics/setLinearModels/perltidy.ERR @@ -0,0 +1,27 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +42: [``` E(x) = m x + b ```] + --^ +found String where operator expected (previous token underlined) + +42: [``` E(x) = m x + b ```] + ------------------^ +found String where operator expected (previous token underlined) + +47: [``` m = \frac{[$eb]-[$ea]}{[$x2]-0} = [$m] ```] + --^ +found String where operator expected (previous token underlined) + +47: [``` m = \frac{[$eb]-[$ea]}{[$x2]-0} = [$m] ```] + ----------------------------------------^ +found String where operator expected (previous token underlined) + +50: [``` E(x) = [$m] x + [$ea] ```] + --^ +found String where operator expected (previous token underlined) + +50: [``` E(x) = [$m] x + [$ea] ```] + -------------------------^ +found String where operator expected (previous token underlined) diff --git a/OpenProblemLibrary/ASU-topics/setLinesInPlane/bethlnint1.pg b/OpenProblemLibrary/ASU-topics/setLinesInPlane/bethlnint1.pg index 90484d157d..c2d20b96bb 100644 --- a/OpenProblemLibrary/ASU-topics/setLinesInPlane/bethlnint1.pg +++ b/OpenProblemLibrary/ASU-topics/setLinesInPlane/bethlnint1.pg @@ -12,42 +12,32 @@ ## Level(2) ## KEYWORDS('Algebra', 'lines') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "extraAnswerEvaluators.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +Context('Point'); # choose values for the coordinates of the point and the slope -$x=random(-10, 10); -$y=random(-10, 10); -$slope=random(-10, 10); +$x = random(-10, 10); +$y = random(-10, 10); +$slope = random(-10, 10); -# output the text of the problem; -TEXT(EV2(<'no', strings=>["none"]),1], -[num_cmp($shift,tolType=>'absolute', tol=>10**10),0, -'You need to enter an ordered pair for the intercept'], -[interval_cmp("(0,$shift)", unions=>'no', strings=>["none"]),1] ])); - -ENDDOCUMENT(); # This should be the last executable line in the problem. +So the [`y`]-intercept is [`[$yint]`]. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setLinesInPlane/lines2.pg b/OpenProblemLibrary/ASU-topics/setLinesInPlane/lines2.pg index 9993ec5c02..9539ce0770 100644 --- a/OpenProblemLibrary/ASU-topics/setLinesInPlane/lines2.pg +++ b/OpenProblemLibrary/ASU-topics/setLinesInPlane/lines2.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## Algebra +## Asks student to find the slope of lines through pairs of points. ## ENDDESCRIPTION ## Tagged by LD @@ -11,87 +11,78 @@ ## Level(3) ## KEYWORDS('Algebra', 'lines') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGnumericalmacros.pl", - "PGmatrixmacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -TEXT(beginproblem()); +Context('Fraction')->strings->add(undefined => {}); -$showPartialCorrectAnswers = 1; +@pt = (); +@slopes = (); -########################## -#define right hand side +# defined non-zero slope +do { + ($x1, $y1) = (random(-10, 10), random(-10, 10)); + ($x2, $y2) = (random(-10, 10), random(-10, 10)); -@pts = (); -foreach $j (0..5) { - $pts[$j] = random(-10,10); -} +} until ($x1 != $x2 && $y1 != $y2); +$pt[0] = Point($x1, $y1); +$pt[1] = Point($x2, $y2); +$slope[0] = Fraction($y2 - $y1, $x2 - $x1); -@ans = (1,0,"undefined"); -@slice = NchooseK(3,3); +# zero slope +do { + ($x1, $y1) = (random(-10, 10), random(-10, 10)); + ($x2, $y2) = (random(-10, 10), random(-10, 10)); +} until ($x1 != $x2 && $y1 == $y2); +$pt[2] = Point($x1, $y1); +$pt[3] = Point($x2, $y2); +$slope[1] = 0; -do { $pts[6] = random(-10,10);} until ($pts[6] != $pts[0]); -do { $pts[8] = random(-10,10);} until ($pts[8] != $pts[2]); -do { $pts[7] = random(-10,10);} until ($pts[7] != $pts[1]); -$pts[9] = $pts[3]; -$pts[10] = $pts[4]; -do { $pts[11] = random(-10,10);} until ($pts[11] != $pts[5]); +# undefined slope +do { + ($x1, $y1) = (random(-10, 10), random(-10, 10)); + ($x2, $y2) = (random(-10, 10), random(-10, 10)); +} until ($x1 == $x2 && $y1 != $y2); +$pt[4] = Point($x1, $y1); +$pt[5] = Point($x2, $y2); +$slope[2] = 'undefined'; -$ans[0] = ($pts[7]-$pts[1])/($pts[6]-$pts[0]); +@slice = random_subset(3, 0 .. 2); -$k=0; -BEGIN_TEXT -$PAR -What is the slope of the line through ($pts[2*$slice[$k]], -$pts[2*$slice[$k]+1]) and ($pts[2*$slice[$k]+6],$pts[2*$slice[$k]+7])? -If the slope is undefined, type $BITALIC undefined$EITALIC. -$BR -\{ ans_rule(30) \} -$BR -END_TEXT +BEGIN_PGML +For each of the following pairs of lines, find the slope, [`m`], through the points or if undefined, type _undefined_. +a) [`[$pt[2*$slice[0]]]`] and [` [$pt[2*$slice[0]+1]] `] -ANS(num_cmp($ans[$slice[$k]], 'strings'=>["undefined"])); + [`m=`][_]{$slope[$slice[0]]} +b) [`[$pt[2*$slice[1]]]`] and [` [$pt[2*$slice[1]+1]] `] -$k=1; -BEGIN_TEXT -$PAR -What is the slope of the line through ($pts[2*$slice[$k]], -$pts[2*$slice[$k]+1]) and ($pts[2*$slice[$k]+6],$pts[2*$slice[$k]+7])? -If the slope is undefined, type $BITALIC undefined$EITALIC. -$BR -\{ ans_rule(30) \} -$BR -END_TEXT + [`m=`][_]{$slope[$slice[1]]} -ANS(num_cmp($ans[$slice[$k]], 'strings'=>["undefined"])); +c) [`[$pt[2*$slice[2]]]`] and [` [$pt[2*$slice[2]+1]] `] + [`m=`][_]{$slope[$slice[2]]} -$k=2; -BEGIN_TEXT -What is the slope of the line through ($pts[2*$slice[$k]], -$pts[2*$slice[$k]+1]) and ($pts[2*$slice[$k]+6],$pts[2*$slice[$k]+7])? -If the slope is undefined, type $BITALIC undefined$EITALIC. -$BR -\{ ans_rule(30) \} -$BR -END_TEXT +END_PGML -ANS(num_cmp($ans[$slice[$k]], 'strings'=>["undefined"])); +@solution_statements = ( + PGML('Using the formula above, we see that [`m=[$slope[0]]`]'), + PGML('In this case, since [`y_1 = y_2`], then [`m=0`]'), + PGML('In this case, since [`x_1=x_2`], then the slope is undefined.') +); +BEGIN_PGML_SOLUTION +Recall first of all that the slope of the line between points [`P(x_1,y_1)`] and [`Q(x_2,y_2)`] is +[``` m = \frac{y_2-y_1}{x_2-x_1} ```] -ENDDOCUMENT() ; +a) [$solution_statements[$slice[0]]]* +b) [$solution_statements[$slice[1]]]* +c) [$solution_statements[$slice[2]]]* +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_13.pg b/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_13.pg index e739207448..40196d1b89 100644 --- a/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_13.pg +++ b/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_13.pg @@ -13,39 +13,46 @@ ## Level(3) ## KEYWORDS('Algebra', 'lines') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +Context('Fraction'); -$x1 = random(-5,-2,1); -$y1 = random(1,10,1); -$x2 = random(1,10,1); -$y2 = random(-10,-2,1); -$m1 = ($y2-$y1)/($x2-$x1); +$x1 = random(-5, -2); +$y1 = random( 1, 10); +$x2 = random( 1, 10); +$y2 = random(-10, -2, 1); +$m = Fraction($y2 - $y1, $x2 - $x1); +$b = Compute("$y1 - $m * $x1"); -BEGIN_TEXT +BEGIN_PGML The equation of the line that goes through the points -\( ( $x1 ,$y1 ) \) and \( ( $x2 ,$y2 ) \) can be written in the form -\( y = mx+b \) where -$PAR -\( m =\) \{ans_rule(15) \} -$BR -and -$PAR -\( b =\) \{ans_rule(15) \} -END_TEXT - -$ans = $m1; -ANS(num_cmp($ans)); - -$ans = $y1 -$m1*$x1; -ANS(num_cmp($ans)); - -ENDDOCUMENT(); # This should be the last executable line in the problem. +[` ( [$x1] ,[$y1] ) `] and [` ( [$x2] ,[$y2] ) `] can be written in the form +[` y = mx+b `] where + +[` m =`] [_]{Real($m)}{15} and [` b =`] [_]{Real($b)}{15} +END_PGML + +$mx1 = Compute("$m * $x1")->reduce; +$negmx1 = -$mx1->reduce; +$expl1 = + $mx1 < 0 + ? PGML('Adding [``[$negmx1]``] to both sides.') + : PGML('Subtracting [``[$mx1]``] to both sides'); +BEGIN_PGML_SOLUTION +First, we need to find the slope of the line using the formula: +[``` m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{[$y2]-[$y1]}{[$x2]-[$x1]} = [$m] ```] + +Then substitute this value of [`m`] and the point [`([$x1],[$y1])`] to get +[``` +\begin{aligned} +[$y1] &= [$m] ([$x1]) + b \\ +[$y1] & = [$mx1] + b\\ +\end{aligned} +```] +[$expl1]* +[```[$b] = b ```] +END_PGML_SOLUTION + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_41.pg b/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_41.pg index f42fb919e5..130b654b21 100644 --- a/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_41.pg +++ b/OpenProblemLibrary/ASU-topics/setLinesInPlane/srw1_10_41.pg @@ -12,35 +12,35 @@ ## Level(3) ## KEYWORDS('Algebra', 'lines') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; - -$a = random(2,20,1); -$b = random(2,20,1); - -TEXT(EV2(<["t"], limits=>[[5,10]])); -ANS(num_cmp($ans2)); -ANS(num_cmp($ans3)); - -ENDDOCUMENT(); # This should be the last executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +Context('Numeric')->variables->are(t => Real); + +$a = random(100000, 300000, 1000); +$year = random(2005, 2020); +$yr2 = random(2025, 2035); +$b = random(2, 6, 1); +$r = $b / 100; +$diff = $yr2 - $year; + +$c = int($a * exp($r * $y)) + 1150; + +$model = Formula("$a*(1+$r)^t"); +$yr3 = $yr2 + random(2, 10); +$c = $model->eval(t => $yr3 - $year); + +BEGIN_PGML +The population of a certain city was [$a] in [$year], and the observed relative +growth rate is [$b] percent per year. + +a) Let [`t`] be the number of years after [$year]. Find a function that models the population after [`t`] years. + + [`P(t)=`] [_]{$model} + +b) Find the projected population in the year [$yr2]: [_]{$model->eval(t => $diff)} + +c) In what year will the population reach [@sprintf("%d",$c)@]? [_]{$yr3} +END_PGML + +BEGIN_PGML_SOLUTION +a) The model will be an exponential model: [`P(t) = a e^{rt} `], where the initial population will be [`a=229000`] and growth rate as [`r=[$b]/100 = [$r] `]. The model then is + + [``` P(t) = [$a] e^{[$r]t} ```] + +b) To find the projected population, first note that [$yr2] is [`t=[$diff]`] years after [$year]. This value of [`t`] will be substituted into the model so + +[``` P([$diff]) = [$a] e^{[$r]\cdot [$diff]} = [$model->eval(t => $diff)] ```] + +END_PGML_SOLUTION + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/dueck2_1.pg b/OpenProblemLibrary/ASU-topics/setStat/dueck2_1.pg index 0ff31473cb..8d1e7dafcf 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/dueck2_1.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/dueck2_1.pg @@ -11,72 +11,61 @@ ## Level(2) ## KEYWORDS('Statistics','Frequency') +## Updated 2025.02 by Peter Staab, switch to PGML DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGgraphmacros.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; -$a = random(1,10,1); -$b = random(1,10,1); -$c = random(5,15,1); -$d = random(10,20,1); -$e = random(10,20,1); -$f = random(5,15,1); -$total = $a+$b+$c+$d+$e+$f; -$ans1 = $a/$total; -$ans2 = $b/$total; -$ans3 = $c/$total; -$ans4 = $d/$total; -$ans5 = $e/$total; -$ans6 = $f/$total; +@freq = ( +random(1,10), +random(1,10), +random(5,15), +random(10,20), +random(10,20), +random(5,15)); +$total = 0; +$total += $_ for (@freq); -BEGIN_TEXT -\{begintable(2)\} -\{row("Grade on Statistics Exam", "Frequency")\} -\{row("Below \(50\)", "\($a \)")\} -\{row("\(50-59\)", "\($b \)")\} -\{row("\(60-69\)", "\($c \)")\} -\{row("\(70-79\)", "\($d \)")\} -\{row("\(80-89\)", "\($e \)")\} -\{row("\(90-100\)", "\($f \)")\} -\{endtable()\} -END_TEXT +@rel_freq = map { $_ / $total } @freq; -BEGIN_TEXT -Given the frequency table above, construct the following:$PAR -(a) \( \) The relative frequency table that corresponds with the above table. +BEGIN_PGML -\{begintable(2)\} -\{row("Grade on Statistics Exam", "Relative Frequency")\} -\{row("Below \(50\)", ans_rule(10))\} -\{row("\(50-59\)", ans_rule(10))\} -\{row("\(60-69\)", ans_rule(10))\} -\{row("\(70-79\)", ans_rule(10))\} -\{row("\(80-89\)", ans_rule(10))\} -\{row("\(90-100\)", ans_rule(10))\} -\{endtable()\} -END_TEXT +[# [. Grade on Statistics Exam .] [. Frequency .]*{headerrow => 1} + [. Below 50 .] [. [$freq[0] .]* + [. 50-59 .] [. [$freq[1] .]* + [. 60-59 .] [. [$freq[2] .]* + [. 70-59 .] [. [$freq[3] .]* + [. 80-59 .] [. [$freq[4] .]* + [. 90-100 .] [. [$freq[5] .]* +#]{horizontalrules => 1} + +Given the frequency table above, construct the relative frequency table that corresponds with the above table. -ANS(num_cmp($ans1, mode=>"arith")); -ANS(num_cmp($ans2, mode=>"arith")); -ANS(num_cmp($ans3, mode=>"arith")); -ANS(num_cmp($ans4, mode=>"arith")); -ANS(num_cmp($ans5, mode=>"arith")); -ANS(num_cmp($ans6, mode=>"arith")); +[# [. Grade on Statistics Exam .] [. Relative Frequency .]*{headerrow => 1} + [. Below 50 .] [. [_]{$rel_freq[0]} .]* + [. 50-59 .] [. [_]{$rel_freq[1]} .]* + [. 60-59 .] [. [_]{$rel_freq[2]} .]* + [. 70-59 .] [. [_]{$rel_freq[3]} .]* + [. 80-59 .] [. [_]{$rel_freq[4]} .]* + [. 90-100 .] [. [_]{$rel_freq[5]} .]* +#]{horizontalrules => 1, padding => [0.25, 0.25]} +END_PGML -$ans1 = $a; -$ans2 = $a+$b; -$ans3 = $ans2+$c; -$ans4 = $ans3+$d; -$ans5 = $ans4+$e; -$ans6 = $total; +BEGIN_PGML_SOLUTION +First, we need to know the total number of observations. The is the sum of the second column or [$total]. Next, for each number in the top table, divide by [$total]. The result is: -ENDDOCUMENT(); # This should be the last executable line in the problem. +[# [. Grade on Statistics Exam .] [. Relative Frequency .]*{headerrow => 1} + [. Below 50 .] [. [$rel_freq[0]] .]* + [. 50-59 .] [. [$rel_freq[1]] .]* + [. 60-59 .] [. [$rel_freq[2]] .]* + [. 70-59 .] [. [$rel_freq[3]] .]* + [. 80-59 .] [. [$rel_freq[4]] .]* + [. 90-100 .] [. [$rel_freq[5]] .]* +#]{horizontalrules => 1, padding => [0.25, 0.25]} + +END_PGML_SOLUTION + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/dueck3_2_2.pg b/OpenProblemLibrary/ASU-topics/setStat/dueck3_2_2.pg index 2c65d126b5..91721d7360 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/dueck3_2_2.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/dueck3_2_2.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## Statistics +## Find the mean of a set of numbers. ## ENDDESCRIPTION ## Tagged by dgt5v @@ -13,62 +13,56 @@ ## Level(2) ## KEYWORDS('Statistics','Mean','measures','mode','median') +DOCUMENT(); # This should be the first executable line in the problem. -DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGcourse.pl" +$showPartialCorrectAnswers = 1; + +$a1 = random(10, 20); +$a2 = random(5, 25); + +@data = ( + $a1, $a1, $a1, $a2, + random($a1 + 1, $a1 + 3), + random($a1 - 3, $a1 - 1), + random($a1 + 4, $a1 + 6), + random($a1 - 6, $a1 - 4) ); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +@sdata = @data[ random_subset(8, 0 .. 7) ]; + +($sum) = stats_SX_SXX(@data); +$n = 8; -$a1 = random(10,20,1); -$a2 = $a1; -$a3 = $a1; -$a4 = random(5,25,1); -$b1 = $a1+1; -$c1 = $a1+3; -$a5 = random($b1,$c1,1); -$b2 = $a1-3; -$c2 = $a1-1; -$a6 = random($b2,$c2,1); -$b3 = $a1+4; -$c3 = $a1+6; -$a7 = random($b3,$c3,1); -$b4 = $a1-6; -$c4 = $a1-4; -$a8 = random($b4,$c4,1); +$output = ""; +$output .= "x_{$_}= $sdata[$_-1], " for (1 .. 8); -@data = ($a1, $a2, $a3, $a4, $a5, $a6, $a7, $a8); -@slice = NchooseK(8,8); -@sdata = @data[@slice]; +BEGIN_PGML +For the given data, find [` \Sigma x `], [`n`], and [` \overline{x}`]: -$sum = ($a1 + $a2 + $a3 + $a4 + $a5 + $a6 + $a7 + $a8); -$mean = ($a1 + $a2 + $a3 + $a4 + $a5 + $a6 + $a7 + $a8)/8; -$n=8; +[``` [$output]```] -BEGIN_TEXT -For the given data, find \( \Sigma x \), \(n\), and \( \overline{x}\): -$BR $BR +a) [`\Sigma x=`][_]{Real($sum)}{10} -\[ x_1=$sdata[0], \ x_2=$sdata[1], \ x_3=$sdata[2], \ x_4=$sdata[3], \ x_5=$sdata[4], \ x_6=$sdata[5], \ x_7=$sdata[6], \ x_8=$sdata[7] \] +b) [`n =`] [_]{Real($n)}{10} -$BR $BR -\(\Sigma x=\)\{ans_rule(10)\} $BR -\(n =\) \{ans_rule(10)\} $BR -\( \overline{x} = \) \{ans_rule(10)\} $BR +c) [` \overline{x} = `] [_]{Real($sum/$n)}{10} -$BR +END_PGML -END_TEXT +BEGIN_PGML_HINT +Recall that +- [`\Sigma x`] is the sum of all of the data. +- [` n`] is the number of datapoints. +- [`\bar{x}`] is the mean. +END_PGML_HINT -ANS(num_cmp($sum)); -ANS(num_cmp($n)); -ANS(num_cmp($mean)); +BEGIN_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +a) [`\Sigma x = [$sum] `] +b) [` n = [$n] `] +c) [` \bar{x} = \frac{[$sum]}{[$n]} = [@ $sum/$n @] `] +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_3.pg b/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_3.pg index 1e3513bf12..01dfa68e10 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_3.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_3.pg @@ -1,5 +1,5 @@ ## DESCRIPTION -## Statistics +## Statistics ## ENDDESCRIPTION ## Tagged by dgt5v @@ -13,44 +13,21 @@ ## Level(2) ## KEYWORDS('Statistics','Quartiles') +DOCUMENT(); +loadMacros("PGstandard.pl", "PGML.pl", "PGcourse.pl"); -DOCUMENT(); # This should be the first executable line in the problem. +@data = num_sort(map { random(1, 100) } (1 .. 27)); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGML.pl", - "niceTables.pl", - "PGcourse.pl" -); +@quartile = (Real($data[6]), Real($data[13]), Real($data[20])); -Context("Numeric"); - -$showPartialCorrectAnswers = 1; - -@data = (); -for ($i=1; $i<28; $i++){ - push @data, random(1,100); -} - -@data = num_sort(@data) ; -# beause of Perl's zero-based indexing, the quartiles are - -@quartile = (Real($data[6]),Real($data[13]),Real($data[20])); - -$tab = DataTable( - [ - [@data[0..8]], - [@data[9..17]], - [@data[18..26]] - ] -); +$tab = DataTable([ + [ @data[ 0 .. 8 ] ], [ @data[ 9 .. 17 ] ], [ @data[ 18 .. 26 ] ] ]); # randomize the quartiles -($n1,$n2) = random_subset(2,(0,1,2)); +($n1, $n2) = random_subset(2, (0, 1, 2)); -@quartName = ("first quartile","median","third quartile"); +@quartName = ("first quartile", "median", "third quartile"); BEGIN_PGML @@ -62,7 +39,7 @@ Find the [$quartName[$n1]] = [_]{$quartile[$n1]}{10} Find the [$quartName[$n2]] = [_]{$quartile[$n2]}{10} -END_PGML +END_PGML BEGIN_PGML_SOLUTION If [`n`] numbers are listed in increasing order the percentile rank diff --git a/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_4.pg b/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_4.pg index b755f29ec7..56ca94fb9b 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_4.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_4.pg @@ -12,115 +12,58 @@ ## Level(2) ## KEYWORDS('Statistics','Quartiles') +# Updated 2025.04 by Peter Staab (Fitchburg State University). Converted to PGML, added a hint and a solution. + DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'parserPopUp.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; -$a1 = random(20,50,1); -$a2 = $a1+1; -$a3 = $a1-2; -$b1 = $a1+5; -$c1 = $a1+3; -$a4 = random($b1,$c1,1); -$b2 = $a1-3; -$c2 = $a1-5; -$a5 = random($b2,$c2,1); -$b3 = $a1+7; -$c3 = $a1+8; -$a6 = random($b3,$c3,1); -$b4 = $a1-7; -$c4 = $a1-8; -$a7 = random($b4,$c4,1); -$b6 = $a1-11; -$c6 = $a1-9; -$a9 = random($b6,$c6,1); -$b5 = $a1+11; -$c5 = $a1+9; -$a8 = random($b5,$c5,1); -$b7 = $a1+15; -$c7 = $a1+19; -$a10 = random($b7,$c7,1); -$b8 = $a1-15; -$c8 = $a1-19; -$a11 = random($b8,$c8,1); -$b9 = $a1+21; -$c9 = $a1+24; -$a12 = random($b9,$c9,1); -$b10 = $a1-21; -$c10 = $a1-24; -$a13 = random($b10,$c10,1); -$b11 = $a1+27; -$c11 = $a1+31; -$a14 = random($b11,$c11,1); -$b12 = $a1-27; -$c12 = $a1-28; -$a15 = random($b12,$c12,1); - - -@data = ($a1, $a2, $a3, $a4, $a5, $a6, $a7, $a8,$a9,$a10,$a11,$a12,$a13,$a14,$a15); -@slice = NchooseK(15,15); -@sdata = @data[@slice]; - -$Q1 = $a9; -$Q2 = $a1; -$Q3 = $a8; -$Min = $a15; -$Max = $a14; +$data[0]= random(20,50); +$data[1] = $data[0]+1; +$data[2] = $data[0]-2; +$data[3] = random($data[0]+3,$data[0]+5); +$data[4] = random($data[0]-5,$data[0]-3); +$data[5] = random($data[0]+7, $data[0]+8); +$data[6] = random($data[0]-8,$data[0]-7); +$data[7] = random($data[0]+9,$data[0]+11); +$data[8] = random($data[0]-11, $data[0]-9); +$data[9] = random($data[0]+15, $data[0]+19); +$data[10] = random($data[0]-19, $data[0]-15); +$data[11] = random($data[0]+21, $data[0]+24); +$data[12] = random($data[0]-24, $data[0]-21); +$data[13] = random($data[0]+27, $data[0]+31); +$data[14] = random($data[0]-26, $data[0]-29); + +# present the data in a random order +@sdata = @data[random_subset(15,0..14)]; + +($min, $Q1, $median, $Q3, $max) = five_point_summary(@data); $IQR = $Q3-$Q1; -$mc = new_multiple_choice(); - -$mc->qa("There is a potential outlier in this data set", -"False"); -$mc->makeLast("True"); - - -BEGIN_TEXT +$outlier = $data[0] <= $data[0]-1.5*$IQR || $data[14] >= $data[0]+1.5*$IQR ? 1 : 0; +$dd = DropDownTF($outlier); +BEGIN_PGML Calculate the 5 number summary and the interquartile range of the following data: -\[ $sdata[0], \ $sdata[1], \ $sdata[2], \ $sdata[3], \ $sdata[4], \ $sdata[5], \ $sdata[6], \ $sdata[7] ,\ $sdata[8],\ $sdata[9],\ $sdata[10],\ $sdata[11],\ $sdata[12],\ $sdata[13],\ $sdata[14] \] $BR $BR - -Q1 = \{ans_rule(10)\} $BR - -Q2 = \{ans_rule(10)\} $BR - -Q3 = \{ans_rule(10)\} $BR - -Min = \{ans_rule(10)\} $BR - -Max = \{ans_rule(10)\} $BR - -IQR = \{ans_rule(10)\} $BR - -$BR $HR $BR - -\{ $mc->print_q \} -\{ $mc->print_a \} - +[``` [@ join(', ', @sdata)@] ```] -END_TEXT +a) min = [_]{Real($min)}{10} -ANS(num_cmp($Q1)); -ANS(num_cmp($Q2)); -ANS(num_cmp($Q3)); -ANS(num_cmp($Min)); -ANS(num_cmp($Max)); -ANS(num_cmp($IQR)); +b) [` Q_1 `] = [_]{Real($Q1)}{10} -ANS(radio_cmp($mc->correct_ans)); +c) median = [_]{Real($median)}{10} -ENDDOCUMENT(); # This should be the last executable line in the problem. +d) [` Q_3 `] = [_]{Real($Q3)}{10} +e) max = [_]{Real($max)}{10} +f) IQR = [_]{Real($IQR)}{10} +g) There is a potential outlier in this data set [_]{$dd} +END_PGML +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_5.pg b/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_5.pg index 979815bcf4..96b6854e38 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_5.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/dueck3_4_5.pg @@ -12,108 +12,60 @@ ## Level(3) ## KEYWORDS('Statistics','Quartiles', 'measures') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; - -$a1 = random(20,50,1); -$a2 = $a1+1; -$a3 = $a1-2; -$b1 = $a1+5; -$c1 = $a1+3; -$a4 = random($b1,$c1,1); -$b2 = $a1-3; -$c2 = $a1-5; -$a5 = random($b2,$c2,1); -$b3 = $a1+7; -$c3 = $a1+8; -$a6 = random($b3,$c3,1); -$b4 = $a1-7; -$c4 = $a1-8; -$a7 = random($b4,$c4,1); -$a9 = $a1-11; -$a8 = $a1+9; -$a10 = $a1+15; -$a11 = $a1-19; -$b9 = $a1+21; -$c9 = $a1+24; -$a12 = random($b9,$c9,1); -$b10 = $a1-21; -$c10 = $a1-24; -$a13 = random($b10,$c10,1); -$b11 = $a1+27; -$c11 = $a1+35; -$a14 = random($b11,$c11,1); -$b12 = $a1-27; -$c12 = $a1-28; -$a15 = random($b12,$c12,1); -$a16 = $a1+39; -$a17 = $a1-72; - -@data = ($a2, $a3, $a4, $a5, $a6, $a7, $a8,$a9,$a10,$a11,$a12,$a13,$a14,$a15,$a16,$a17); -@slice = NchooseK(16,16); -@sdata = @data[@slice]; - -$Q1 = ($a9+$a11)/2; -$Q2 = ($a2+$a3)/2; -$Q3 = ($a8+$a10)/2; -$Min = $a17; -$Max = $a16; -$IQR = $Q3 - $Q1; - -$mc = new_multiple_choice(); - -$mc->qa("There is a potential outlier in this data set", -"True"); -$mc->makeLast("False"); - - -BEGIN_TEXT -$BR +# Updated 2025.04 by Peter Staab (Fitchburg State University). Converted to PGML, added a hint and a solution. -Calculate the 5 number summary and the interquartile range of the following data: +DOCUMENT(); # This should be the first executable line in the problem. -\[ $sdata[0], \ $sdata[1], \ $sdata[2], \ $sdata[3], \ $sdata[4], \ $sdata[5], \ $sdata[6], \ $sdata[7] ,\ $sdata[8],\ $sdata[9],\ $sdata[10],\ $sdata[11],\ $sdata[12],\ $sdata[13],\ $sdata[14], \ $sdata[15] \] $BR $BR +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'parserPopUp.pl', 'PGcourse.pl'); -Q1 = \{ans_rule(10)\} $BR +$med= random(20,50); +$data[0] = $med+1; +$data[1] = $med-2; +$data[2] = random($med+3,$med+5); +$data[3] = random($med-5,$med-3); +$data[4] = random($med+7, $med+8); +$data[5] = random($med-8,$med-7); +$data[6] = random($med+9,$med+11); +$data[7] = random($med-11, $med-9); +$data[8] = random($med+15, $med+19); +$data[9] = random($med-19, $med-15); +$data[10] = random($med+21, $med+24); +$data[11] = random($med-24, $med-21); +$data[12] = random($med+27, $med+31); +$data[13] = random($med-26, $med-29); +$data[14] = $med +39; +$data[15] = $med - 72; -Q2 = \{ans_rule(10)\} $BR - -Q3 = \{ans_rule(10)\} $BR +@data = num_sort(@data); -Min = \{ans_rule(10)\} $BR +# present the data in a random order +@sdata = @data[random_subset(16,0..15)]; -Max = \{ans_rule(10)\} $BR +($min, $Q1, $median, $Q3, $max) = five_point_summary(@data); +$IQR = $Q3-$Q1; -IQR = \{ans_rule(10)\} $BR +$outlier = $data[0] <= $med-1.5*$IQR || $data[15] >= $med+1.5*$IQR ? 1 : 0; -$BR $HR $BR +$dd = DropDownTF($outlier); -\{ $mc->print_q \} -\{ $mc->print_a \} +BEGIN_PGML +Calculate the 5 number summary and the interquartile range of the following data: +[``` [@ join(', ', @sdata)@] ```] -END_TEXT +a) min = [_]{Real($min)}{10} -ANS(num_cmp($Q1)); -ANS(num_cmp($Q2)); -ANS(num_cmp($Q3)); -ANS(num_cmp($Min)); -ANS(num_cmp($Max)); -ANS(num_cmp($IQR)); +b) [` Q_1 `] = [_]{Real($Q1)}{10} -ANS(radio_cmp($mc->correct_ans)); +c) median = [_]{Real($median)}{10} -ENDDOCUMENT(); # This should be the last executable line in the problem. +d) [` Q_3 `] = [_]{Real($Q3)}{10} +e) max = [_]{Real($max)}{10} +f) IQR = [_]{Real($IQR)}{10} +g) There is a potential outlier in this data set [_]{$dd} +END_PGML +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/gust11.pg b/OpenProblemLibrary/ASU-topics/setStat/gust11.pg index 74d7fddc68..3250765093 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/gust11.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/gust11.pg @@ -11,96 +11,118 @@ ## Level(2) ## KEYWORDS('Statistics') -# -# First comes some stuff that appears at the beginning of every problem -# +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGasu.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); +$r = [ + [ + random(1, 6), + random(1, 7), + random(1, 6), + random(1, 7), + random(1, 7), + random(1, 1), + random(1, 6), + random(2, 6) + ], + [ + random(1, 5), + random(2, 6), + random(3, 5), + random(1, 7), + random(1, 7), + random(1, 7), + random(1, 7), + random(1, 7) + ], + [ + random(3, 5), + random(1, 4), + random(1, 7), + random(1, 4), + random(1, 7), + random(3, 5), + random(1, 5), + random(2, 6) + ], + [ + random(1, 5), + random(1, 5), + random(1, 7), + random(1, 7), + random(1, 7), + random(2, 6), + random(1, 7), + random(2, 6) + ], + [ + random(1, 7), + random(1, 5), + random(1, 4), + random(3, 5), + random(1, 7), + random(1, 7), + random(3, 5), + random(2, 6) + ] +]; + +@freq = map {0} (0 .. 6); +for $j (0 .. 4) { + for $k (0 .. 7) { + $freq[ $r->[$j][$k] - 1 ] += 1; + } +} +$total = 40; -$r[0]=[random(1,6,1), random(1,7,1), random(1,6,1), random(1,7,1), random(1,7,1), random(1,1,1), random(1,6,1), random(2,6,1)]; -$r[1]=[random(1,5,1), random(2,6,1), random(3,5,1), random(1,7,1), random(1,7,1), random(1,7,1), random(1,7,1), random(1,7,1)]; -$r[2]=[random(3,5,1), random(1,4,1), random(1,7,1), random(1,4,1), random(1,7,1), random(3,5,1), random(1,5,1), random(2,6,1)]; -$r[3]=[random(1,5,1), random(1,5,1), random(1,7,1), random(1,7,1), random(1,7,1), random(2,6,1), random(1,7,1), random(2,6,1)]; -$r[4]=[random(1,7,1), random(1,5,1), random(1,4,1), random(3,5,1), random(1,7,1), random(1,7,1), random(3,5,1), random(2,6,1)]; +$house_table = + DataTable($r, align => '|c|c|c|c|c|c|c|c|', horizontalrules => 1); -@cnts=(0,0,0,0,0,0,0,0,0); -for $j (0..4) { - for $k (0..7) { - $cnts[$r[$j][$k]] += 1; - } -} +@rel_freq = map { $_ / $total } @freq; -$a = $cnts[1]; -$b = $cnts[2]; -$c = $cnts[3]; -$d = $cnts[4]; -$e = $cnts[5]; -$f = $cnts[6]; -$g = $cnts[7]; -$total = 40; +BEGIN_PGML + +The U.S. Bureau of the Census conducts nationwide sureys on characteristics of U.S. households. Following are data on the number of people per household for a sample of 40 households. Construct a grouped data table for these household sizes. + +[$house_table]* + +Fill in the following table for this data: + +[# + [.Household size.] [.Frequency.][.Relative Frequency .]*{headerrow => 1} + [. 1 .] [. [_]{$freq[0]} .] [. [_]{$rel_freq[0]} .]* + [. 2 .] [. [_]{$freq[1]} .] [. [_]{$rel_freq[1]} .]* + [. 3 .] [. [_]{$freq[2]} .] [. [_]{$rel_freq[2]} .]* + [. 4 .] [. [_]{$freq[3]} .] [. [_]{$rel_freq[3]} .]* + [. 5 .] [. [_]{$freq[4]} .] [. [_]{$rel_freq[4]} .]* + [. 6 .] [. [_]{$freq[5]} .] [. [_]{$rel_freq[5]} .]* + [. 7 .] [. [_]{$freq[6]} .] [. [_]{$rel_freq[6]} .]* + [. Total .] [. 40 .] [. 1.] +#]{padding => [0.25, 0.25], horizontalrules => 1} + +END_PGML + +BEGIN_PGML_SOLUTION +First, count up the number of 1s, 2s, 3s, ... in the table above to create the frequency. Then, since the total number of observations (households) for this problem is 40, divide the frequency by 40 to get the relative frequency. The result is: + +[# + [.Household size.] [.Frequency.][.Relative Frequency .]*{headerrow => 1} + [. 1 .] [. [$freq[0]] .] [. [$rel_freq[0]] .]* + [. 2 .] [. [$freq[1]] .] [. [$rel_freq[1]] .]* + [. 3 .] [. [$freq[2]] .] [. [$rel_freq[2]] .]* + [. 4 .] [. [$freq[3]] .] [. [$rel_freq[3]] .]* + [. 5 .] [. [$freq[4]] .] [. [$rel_freq[4]] .]* + [. 6 .] [. [$freq[5]] .] [. [$rel_freq[5]] .]* + [. 7 .] [. [$freq[6]] .] [. [$rel_freq[6]] .]* + [. Total .] [. 40 .] [. 1.] +#]{padding => [0.25, 0.25], horizontalrules => 1} -$ans1= $a/$total; -$ans2= $b/$total; -$ans3= $c/$total; -$ans4= $d/$total; -$ans5= $e/$total; -$ans6= $f/$total; -$ans7= $g/$total; - -BEGIN_TEXT - -The U.S. Bureau of the Census conducts nationwide sureys on characteristics of U.S. households. Following are data on the number of people per household for a sample of 40 households. Construct a grouped data table for these household sizes. -$PAR -$BCENTER -\{begintable(8)\} -\{row(@{$r[0]})\} -\{row(@{$r[1]})\} -\{row(@{$r[2]})\} -\{row(@{$r[3]})\} -\{row(@{$r[4]})\} -\{endtable()\} -$ECENTER - -$PAR -$BCENTER -\{begintable(3)\} -\{row("Household size", "Frequency", "Relative Frequency")\} -\{row("1", ans_rule(10), ans_rule(10))\} -\{row("2", ans_rule(10), ans_rule(10))\} -\{row("3", ans_rule(10), ans_rule(10))\} -\{row("4", ans_rule(10), ans_rule(10))\} -\{row("5", ans_rule(10), ans_rule(10))\} -\{row("6", ans_rule(10), ans_rule(10))\} -\{row("7", ans_rule(10), ans_rule(10))\} -\{row("${BBOLD}Total${EBOLD}", "$total", "1")\} -\{endtable()\} -$ECENTER -END_TEXT - -ANS(num_cmp($a)); -ANS(num_cmp($ans1, mode=>"arith")); -ANS(num_cmp($b)); -ANS(num_cmp($ans2, mode=>"arith")); -ANS(num_cmp($c)); -ANS(num_cmp($ans3, mode=>"arith")); -ANS(num_cmp($d)); -ANS(num_cmp($ans4, mode=>"arith")); -ANS(num_cmp($e)); -ANS(num_cmp($ans5, mode=>"arith")); -ANS(num_cmp($f)); -ANS(num_cmp($ans6, mode=>"arith")); -ANS(num_cmp($g)); -ANS(num_cmp($ans7, mode=>"arith")); - - -ENDDOCUMENT(); # This should be the last executable line in the problem. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/gust12.pg b/OpenProblemLibrary/ASU-topics/setStat/gust12.pg index d1d0e44735..fb39d3555a 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/gust12.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/gust12.pg @@ -11,66 +11,63 @@ ## Level(2) ## KEYWORDS('Statistics') -# -# First comes some stuff that appears at the beginning of every problem -# +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; -$a = random(1,10,1); -$b = random(1,10,1); -$c = random(1,10,1); -$d = random(10,15,1); -$e = random(10,15,1); -$f = random(15,20,1); -$g = random(1,10,1); -$total = $a+$b+$c+$d+$e+$f+$g; - -$ans1= $a/$total; -$ans2= $b/$total; -$ans3= $c/$total; -$ans4= $d/$total; -$ans5= $e/$total; -$ans6= $f/$total; -$ans7= $g/$total; - -BEGIN_TEXT - -One study was performed in an attempt to determine the day of the week when road rage occurs most often. Complete the table below. -$PAR -\{begintable(3)\} -\{row("Day of the Week", "Frequency", "Relative Frequency")\} -\{row("Sunday", "\($a \)", ans_rule(10))\} -\{row("Monday", "\($b \)", ans_rule(10))\} -\{row("Tuesday", "\($c \)", ans_rule(10))\} -\{row("Wednesday", ans_rule(10), "\($ans4\)")\} -\{row("Thursday", "\($e \)", ans_rule(10))\} -\{row("Friday", "\($f \)", ans_rule(10))\} -\{row("Saturday", "\($g \)", ans_rule(10))\} -\{row("total", "\($total\)", "\(1\)")\} -\{endtable()\} - -END_TEXT -ANS(num_cmp($ans1, mode=>"arith")); -ANS(num_cmp($ans2, mode=>"arith")); -ANS(num_cmp($ans3, mode=>"arith")); -ANS(num_cmp($d, mode=>"arith")); -ANS(num_cmp($ans5, mode=>"arith")); -ANS(num_cmp($ans6, mode=>"arith")); -ANS(num_cmp($ans7, mode=>"arith")); +@freq = ( + random(1,10,1), + random(1,10,1), + random(1,10,1), + random(10,15,1), + random(10,15,1), + random(15,20,1), + random(1,10,1)); +$total = 0; +$total += $_ for @freq; +@rel_freq = map { $_/$total } @freq; +BEGIN_PGML +One study was performed in an attempt to determine the day of the week when road rage occurs most often. Complete the table below. -ENDDOCUMENT(); # This should be the last executable line in the problem. - +[# + [.Day of the Week.] [.Frequency.] [.Relative Frequency .]*{headerrow => 1} + [. Sunday .] [. [$freq[0]] .] [. [_]{$rel_freq[0]} .]* + [. Monday .] [. [$freq[1]] .] [. [_]{$rel_freq[1]} .]* + [. Tuesday .] [. [$freq[2]] .] [. [_]{$rel_freq[2]} .]* + [. Wednesday .] [. [_]{$freq[3]} .] [. [_]{$rel_freq[3]} .]* + [. Thursday .] [. [$freq[4]] .] [. [_]{$rel_freq[4]} .]* + [. Friday .] [. [$freq[5]] .] [. [_]{$rel_freq[5]} .]* + [. Saturday .] [. [$freq[6]] .] [. [_]{$rel_freq[6]} .]* + [. **Total** .] [. [$total] .] [. 1.]* +#]{padding=>[0.25, 0.25]} + +END_PGML + +$subtotal = $total - $freq[3]; + +BEGIN_PGML_SOLUTION +First, the total number of observations from the table is [$total]. The sum of the frequencies need to be this value. The frequencies other than Wednesday is [$subtotal], therefore the Wednesday observation is [` [$total] - [$subtotal] = [$freq[3]] `]. + +The relative frequency is found by dividing the frequency by the total. The result is: + + +[# + [.Day of the Week.] [.Frequency.] [.Relative Frequency .]*{headerrow => 1} + [. Sunday .] [. [$freq[0]] .] [. [@sprintf("%.4f", $rel_freq[0]) @] .]* + [. Monday .] [. [$freq[1]] .] [. [@sprintf("%.4f", $rel_freq[1]) @] .]* + [. Tuesday .] [. [$freq[2]] .] [. [@sprintf("%.4f", $rel_freq[2]) @] .]* + [. Wednesday .] [. [$freq[3]] .] [. [@sprintf("%.4f", $rel_freq[3]) @] .]* + [. Thursday .] [. [$freq[4]] .] [. [@sprintf("%.4f", $rel_freq[4]) @] .]* + [. Friday .] [. [$freq[5]] .] [. [@sprintf("%.4f", $rel_freq[5]) @] .]* + [. Saturday .] [. [$freq[6]] .] [. [@sprintf("%.4f", $rel_freq[6]) @] .]* + [. **Total** .] [. [$total] .] [. 1.]* +#]{padding=>[0.25, 0.25]} +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/gust16.pg b/OpenProblemLibrary/ASU-topics/setStat/gust16.pg index 585da7e9b0..0bbce06591 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/gust16.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/gust16.pg @@ -11,36 +11,29 @@ ## Level(1) ## KEYWORDS('Statistics') -# -# First comes some stuff that appears at the beginning of every problem -# +DOCUMENT(); # This should be the first executable line in the problem. -DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); - -$mc = new_multiple_choice(); - -$mc->qa("The coefficienct of determination falls between", "0 and 1."); -$mc->extra("-1 and 0 ", "-1 and 1", "negative infinity to positive infinity"); -$mc->makeLast("None of the above"); +Context('Numeric'); -BEGIN_TEXT - -\{ $mc->print_q \} -\{ $mc->print_a \} - -END_TEXT +$radio = RadioButtons( + [ [ + '0 and 1,', '-1 and 0', '-1 and 1', + '\(-\infty\) to \(\infty\)', + 'None of the above.' + ] ], + 0, labels => 'ABC' +); -ANS(radio_cmp($mc->correct_ans)); +BEGIN_PGML +The coefficienct of determination falls between +[_]{$radio} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +The coefficient of determination is a number between 0 and 1 or [$radio]. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/gust22.pg b/OpenProblemLibrary/ASU-topics/setStat/gust22.pg index be939574ee..7797570efe 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/gust22.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/gust22.pg @@ -11,36 +11,30 @@ ## Level(2) ## KEYWORDS('Statistics') -# -# First comes some stuff that appears at the beginning of every problem -# - DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); + +$r = random(-.975,-.75,.025); + +$dd = DropDown([['positive', 'negative', 'zero', 'it cannot be determined']],1); + +$rsq = $r**2; -TEXT(beginproblem()); +BEGIN_PGML -$pick = random(-.975,-.75,.025); -$ans = $pick**2; +The linear correlation coefficient of a set of data points is [`[$r]`]. -BEGIN_TEXT +a) What is the sign of the slope of the regression line? [_]{$dd} -The linear correlation coefficient of a set of data points is $pick. $PAR -a) Is the slope of the regression line positive or negative? $BR -answer: \{ans_rule(20)\}$PAR -b) Determine the coefficient of determination. $BR -answer: \{ans_rule(20)\}$PAR +b) Determine the coefficient of determination. [_]{Real($rsq)} -END_TEXT +END_PGML -ANS(str_cmp("negative")); -ANS(num_cmp($ans)); +BEGIN_PGML_SOLUTION +a) If the correlation coefficient is negative, then the slope is also *negative*. -ENDDOCUMENT(); # This should be the last executable line in the problem. +b) The coefficient of determination is [`r^2= ([$r])^2 = [$rsq] `]. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/gust24.pg b/OpenProblemLibrary/ASU-topics/setStat/gust24.pg index df84d6ef7a..3a37bd8d55 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/gust24.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/gust24.pg @@ -13,73 +13,65 @@ ## Level(2) ## KEYWORDS('Statistics') -# -# First comes some stuff that appears at the beginning of every problem -# +DOCUMENT(); -DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +for $i (0 .. 4) { + $x[$i] = random(3, 17, 1); + $y[$i] = random(15, 31, 1); + $table_data->[$i] = [ $i + 1, $x[$i], $y[$i] ]; +} -TEXT(beginproblem()); +$cor = sample_correlation(~~@x, ~~@y); -$showPartialCorrectAnswers = 1; +BEGIN_PGML +Consider the following small data set. -for($i=0; $i<5; $i++){ - $x[$i] = random(3,17,1); - $y[$i] = random(15,31,1); -} +[# [. Subject.] [.[`x`] .] [. [`y`] .]*{headerrow => 1} + [. .]{rows => $table_data} +#] + +Find the linear correlation coefficient. + +[`r = `] [_]{Real($cor)} -$sx =0; -$sy =0; -$sxy =0; -$sx2 =0; -$sy2 =0; -$meanx =0; -$meany =0; - -for($i=0; $i<5; $i++) { - $sx = $sx + $x[$i]; - $sy = $sy + $y[$i]; - $sxy = $sxy + ($x[$i]*$y[$i]); - $sx2 = $sx2 + ($x[$i]**2); - $sy2 = $sy2 + ($y[$i]**2); - $meanx = $meanx+$x[$i]; - $meany = $meany+$y[$i]; +END_PGML +($sumx, $sumy, $sumxy, $sumxsq, $sumysq) = (0, 0, 0, 0, 0); +for $i (0 .. 4) { + $xsq[$i] = $x[$i]**2; + $ysq[$i] = $y[$i]**2; + $xy[$i] = $x[$i] * $y[$i]; + $sumx += $x[$i]; + $sumy += $y[$i]; + $sumxy += $xy[$i]; + $sumxsq += $xsq[$i]; + $sumysq += $ysq[$i]; + $table->[$i] = [ $i + 1, $x[$i], $y[$i], $xy[$i], $xsq[$i], $ysq[$i] ]; } -$meanx = $meanx/5; -$meany = $meany/5; -$ssxy = $sxy-(($sx*$sy)/5); -$ssx = $sx2-(($sx**2)/5); -$ssy = $sy2-(($sy**2)/5); - -$r = $ssxy/sqrt($ssx*$ssy); -$b1 = $ssxy/$ssx; -$b0 = $meany-$b1*$meanx; - -BEGIN_TEXT -Consider the following small data set.$BR -\{begintable(3)\} -\{row("Subject", "x", "y")\} -\{row("\(1\)", "\($x[0]\)", "\($y[0]\)")\} -\{row("\(2\)", "\($x[1]\)", "\($y[1]\)")\} -\{row("\(3\)", "\($x[2]\)", "\($y[2]\)")\} -\{row("\(4\)", "\($x[3]\)", "\($y[3]\)")\} -\{row("\(5\)", "\($x[4]\)", "\($y[4]\)")\} -\{endtable()\} -$BR -Find the linear correlation coefficient. $PAR -\(r = \) \{ans_rule(10)\} $BR - -END_TEXT -ANS(num_cmp($r)); - - -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +We build a table with [`x^2`], [` y^2`] and [`xy`] and then the sums: + +[# + [.Subject.][. [`x`] .] [. [`y`] .] [. [`xy`] .] [. [`x^2`] .] [. [`y^2`].]*{headerrow => 1} + [. .]*{rows => $table} + [. .]*{rowbottom => 1} + [. Sum .] [.[$sumx].] [.[$sumy].] [.[$sumxy].] [.[$sumxsq].] [.[$sumysq].] +#] + +Now, we use the formula for the correlation coefficient (note there are many forms of this) +[``` +\begin{aligned} +r & = \frac{n \sum x_i y_i - \sum x_i \sum y_i}{ +\sqrt{n \sum x_i^2 -(\sum x_i)^2}\sqrt{n \sum y_i^2 - (\sum y_i)^2}} \\ +& = \frac{5 ([$sumxy]) - ([$sumx])([$sumy])} +{\sqrt{5([$sumxsq])-([$sumx])^2}\sqrt{5([$sumysq]) -([$sumy])^2}} \\ +& = [$cor] +\end{aligned} +```] +END_PGML_SOLUTION + + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/gust30.pg b/OpenProblemLibrary/ASU-topics/setStat/gust30.pg index 9ac7ab1741..c874c4fc49 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/gust30.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/gust30.pg @@ -11,35 +11,23 @@ ## Level(2) ## KEYWORDS('Statistics') -# -# First comes some stuff that appears at the beginning of every problem -# +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGasu.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -TEXT(beginproblem()); +$rb = RadioButtons( + [ [ "Bar Graph", "Histogram", "Dot Plot" ], "None of the Above" ], 0); -$mc = new_multiple_choice(); +BEGIN_PGML +Which of the following is useful for qualitative data? -$mc->qa("Which of the following is useful for qualitative data?", "Bar graph"); -$mc->extra("Histogram", "Dot plot"); -$mc->makeLast("None of the above"); +[_]{$rb} +END_PGML -BEGIN_TEXT - -$BR -\{ $mc->print_q \} -\{ $mc->print_a \} - -END_TEXT -ANS(radio_cmp($mc->correct_ans)); - -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +Dot plots and Histograms both require quantitative data for plots. Therefore the best answer is a Bar Graph. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/kolossa2.pg b/OpenProblemLibrary/ASU-topics/setStat/kolossa2.pg index 2f17365c84..6b5866779f 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/kolossa2.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/kolossa2.pg @@ -1,5 +1,5 @@ ##DESCRIPTION -## Statistics: Introduction +## Find the mean, median and mode of a set of numbers. ##ENDDESCRIPTION ## Tagged by sawblade @@ -12,71 +12,68 @@ ## MLTleader(1) ## Level(4) -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGstatisticsmacros.pl', 'parserRadioButtons.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; - -$a1 = random(10,20,1); -$a2 = $a1; -$a3 = $a1; -$a4 = random(5,25,1); -$b1 = $a1+1; -$c1 = $a1+3; -$a5 = random($b1,$c1,1); -$b2 = $a1-3; -$c2 = $a1-1; -$a6 = random($b2,$c2,1); -$a7 = 999; -$b4 = $a1-6; -$c4 = $a1-4; -$a8 = random($b4,$c4,1); - -@data = ($a1, $a2, $a3, $a4, $a5, $a6, $a7, $a8); -@slice = NchooseK(8,8); -@sdata = @data[@slice]; - -$mode = $a1; -$mean = ($a1 + $a2 + $a3 + $a4 + $a5 + $a6 + $a7 + $a8)/8; +$a1 = random(10, 20); +$a2 = random(5, 25); + +@data = ( + $a1, $a1, $a1, $a2, + random($a1 + 1, $a1 + 3), + random($a1 - 3, $a1 - 1), + 999, random($a1 - 6, $a1 - 4) +); + +@sdata = @data[ random_subset(8, 0 .. 7) ]; + +$mode = $a1; +$mean = stats_mean(@data); $median = $a1; -$mc = new_multiple_choice(); +$rb = RadioButtons([ 'Mean', 'Median', 'Mode', 'None of the Above' ], 0); + +$output = ""; +$output .= "x_{$_}= $sdata[$_-1], " for (1 .. 8); + +BEGIN_PGML + +Calculate the mode, mean, and median of the following data: + +[``` [$output]```] + +a) Mode = [_]{Real([$mode])}{10} -$mc->qa("Which measure of center does not work well here?", -"Mean"); -$mc->extra("Median", "Mode"); -$mc->makeLast("All of the above"); +b) Mean = [_]{Real([$mean])}{10} -BEGIN_TEXT -$BR +c) Median = [_]{Real([$median])}{10} -Calculate the mode, mean, and median of the following data: $BR +d) Which measure of center does not work well here? -\[ $sdata[0], \ $sdata[1], \ $sdata[2], \ $sdata[3], \ $sdata[4], \ $sdata[5], \ $sdata[6], \ $sdata[7] \] +[_]{$rb} -Mode = \{ans_rule(10)\} $BR +END_PGML -Mean = \{ans_rule(10)\} $BR +($sum) = stats_SX_SXX(@data); -Median = \{ans_rule(10)\} $BR $BR +@sortdata = num_sort(@data); -$BR$HR$BR -\{ $mc->print_q \} -\{ $mc->print_a \} +BEGIN_PGML_SOLUTION +Note first that the sum of the data is [$sum]. Also, to the find the median, it's helpful to have the data sorted. +[``` [@ join(", ", @sortdata) @] ```] -END_TEXT +a) The mode is the most frequent data point. This is [$mode]. +b) The mean is +[``` \frac{[$sum]}{8} = [$mean] ```] +c) The median is the middle point and since the middle fall between the 4th and 5th, the mean is the average of these two or [$median]. -ANS(num_cmp($mode)); -ANS(num_cmp($mean)); -ANS(num_cmp($median)); -ANS(radio_cmp($mc->correct_ans)); +d) Due to the very large (999) value, this pulls the mean far to the right and therefore this does not represent the center. +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ASU-topics/setStat/kolossa21.pg b/OpenProblemLibrary/ASU-topics/setStat/kolossa21.pg index a3fc48d64d..5eb2b685eb 100644 --- a/OpenProblemLibrary/ASU-topics/setStat/kolossa21.pg +++ b/OpenProblemLibrary/ASU-topics/setStat/kolossa21.pg @@ -16,103 +16,79 @@ DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "parserRadioButtons.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -Context("Numeric"); -# create the data -# $a1 = random(20,50,1); # median -# 7 values below the median in increasing order -$a15 = random($a1-28,$a1-27,1); -$a13 = random($a1-24,$a1-21,1); -$a11 = random($a1-19,$a1-15,1); -$a9 = random($a1-11,$a1-9,1); -$a7 = random($a1-8,$a1-7,1); -$a5 = random($a1-5,$a1-3,1); -$a3 = $a1-2; - -# 7 values above the median in increasing order -$a2 = $a1+1; -$a4 = random($a1+3,$a1+5,1); -$a6 = random($a1+7,$a1+8,1); -$a8 = random($a1+9,$a1+11,1); -$a10 = random($a1+15,$a1+19,1); -$a12 = random($a1+21,$a1+24,1); -$a14 = random($a1+27,$a1+31,1); - +# produce a dataset with 7 value below and 7 values above the median. +@data = ( + random($a1-28,$a1-24), + random($a1-24,$a1-21), + random($a1-21,$a1-18), + random($a1-18,$a1-14), + random($a1-14,$a1-10), + random($a1-9,$a1-6), + random($a1-5,$a1-2), + $a1, + random($a1+2,$a1+5), + random($a1+6,$a1+9), + random($a1+10,$a1+14), + random($a1+14,$a1+18), + random($a1+18,$a1+21), + random($a1+22,$a1+25), + random($a1+26,$a1+30), +); -@data = ($a1, $a2, $a3, $a4, $a5, $a6, $a7, $a8,$a9,$a10,$a11,$a12,$a13,$a14,$a15); -@slice = NchooseK(15,15); # present the data in a random order -@sdata = @data[@slice]; - -# Different texts have different methods for computing quartiles Q1,Q2,Q3. -# If your text uses a different method, change the formulas below +@sdata = @data[random_subset(15,0..14)]; -$Q1 = ($a9+$a7)/2; # includes median in lower half of data -$Q2 = $a1; -$Q3 = ($a8+$a6)/2; # also includes median in upper half of data -$Min = $a15; -$Max = $a14; +($min, $Q1, $median, $Q3, $max) = five_point_summary(@data); $IQR = $Q3-$Q1; -if ( $a15 <= $a1-1.5*$IQR or $a14 >= $a1+$IQR ){ - $outlier = "True"; -} else { $outlier = "False"; } +$outlier = $min <= $a1-1.5*$IQR || $max >= $a1+1.5*$IQR ? 1 : 0; -$mc = RadioButtons( - [ "True", "False" ], $outlier , - labels => "ABC" -); +$dd = DropDownTF($outlier); -Context()->texStrings; -BEGIN_TEXT +BEGIN_PGML Calculate the 5 number summary and the interquartile range of the following data: -\[ $sdata[0], \ $sdata[1], \ $sdata[2], \ $sdata[3], \ $sdata[4], \ $sdata[5], \ $sdata[6], \ $sdata[7] ,\ $sdata[8],\ $sdata[9],\ $sdata[10],\ $sdata[11],\ $sdata[12],\ $sdata[13],\ $sdata[14] \] $BR $BR +[``` [@ join(', ', @sdata)@] ```] + +a) min = [_]{Real($min)}{10} + +b) [` Q_1 `] = [_]{Real($Q1)}{10} -Q1 = \{ans_rule(10)\} $BR +c) median = [_]{Real($median)}{10} -Q2 = \{ans_rule(10)\} $BR +d) [` Q_3 `] = [_]{Real($Q3)}{10} -Q3 = \{ans_rule(10)\} $BR +e) max = [_]{Real($max)}{10} -Min = \{ans_rule(10)\} $BR +f) IQR = [_]{Real($IQR)}{10} -Max = \{ans_rule(10)\} $BR +g) There is a potential outlier in this data set [_]{$dd} +END_PGML -IQR = \{ans_rule(10)\} $BR +BEGIN_PGML_SOLUTION +First, it is helpful to have the data sorted or -$BR $HR $BR -There is a potential outlier in this data set $BR -\{ $mc->buttons() \} +[``` [@ join(', ', num_sort(@data)) @] ```] -END_TEXT -Context()->normalStrings; +a) min = [$min] -ANS(Real($Q1)->cmp()); -ANS(Real($Q2)->cmp()); -ANS(Real($Q3)->cmp()); -ANS(Real($Min)->cmp()); -ANS(Real($Max)->cmp()); -ANS(Real($IQR)->cmp()); +b) [`Q_1`] is the median of the first half of the data or [$Q1] -ANS($mc->cmp()); +c) The median is the middle value of [$median] -ENDDOCUMENT(); # This should be the last executable line in the problem. +d) [`Q_3`] is the median of the top half of the data or [$Q3] +e) max = [$max] +f) The IQR [` Q_3 - Q_1 = [$IQR] `] +g) To check this, any values need to be 1.5 [`IQR`] below [`Q_1`] or above [`Q_3`]. There [@ $outlier ? 'are' : 'are no' @] values. +END_PGML_SOLUTION +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_07_GraphingEq.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_07_GraphingEq.pg index 469de942db..4eb715b021 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_07_GraphingEq.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_07_GraphingEq.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Graphing Equations -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -17,111 +17,80 @@ ## KEYWORDS('graph','points') ## Date: 2007/09 -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -###################################### # Setup -$a = random(2,8,1); -$c = random(2,3,1); +$a = random(2,8); +$c = random(2,3); if ($c==2) {$b = random(2,6,2);}; #Want the x-intercept to show in the table if ($c==3) {$b = random(3,9,3);}; @functions = ("x + $a","$a x","$a - x","$b - $c x","$c x + $b"); @x_intercept = (-$a, 0, $a, $b/$c, -$b/$c); -@slice = NchooseK(5,4); -@fs = @functions[@slice]; - -$f = Formula($fs[0]); #Choose the first function in the list -$y_3 = $f->eval(x=>-3); -$y_2 = $f->eval(x=>-2); -$y_1 = $f->eval(x=>-1); -$y0 = $f->eval(x=>0); -$y1 = $f->eval(x=>1); -$y2 = $f->eval(x=>2); -$y3 = $f->eval(x=>3); - -$mc = new_multiple_choice(); - -$mc -> qa ( "Which equation corresponds to the points given in the table?", - "\( y = $fs[0] \)" -); -$mc ->extra( - "\( y = $fs[1] \)", - "\( y = $fs[2] \)", - "\( y = $fs[3] \)" -); - -###################################### -# Main text - -BEGIN_TEXT -Use the table of values given below to solve the following exercises. -$BR -$BCENTER -\{begintable(2)\} -\{row(' \(x\) ','\(y\)') \} -\{row( '\(-3\)', '\($y_3\)') \} -\{row( '\(-2\)', '\($y_2\)') \} -\{row( '\(-1\)', '\($y_1\)' )\} -\{row( '\(0\)', '\($y0\)' )\} -\{row( '\(1\)', '\($y1\)' )\} -\{row( '\(2\)', '\($y2\)' )\} -\{row( '\(3\)', '\($y3\)' )\} -\{endtable()\} -$ECENTER -$Par -a) \{$mc -> print_q \} -$BR -\{$mc -> print_a\} -$PAR -b) Does the graph of the equation pass through the origin? -(Enter: $BITALIC Yes $EITALIC or $BITALIC No $EITALIC) -$BR -Answer: \{ ans_rule(10) \} -$PAR -c) At which point does the graph of the equation cross the \(x\)-axis? -$BR -Answer: \{ ans_rule(10) \} -$PAR -d) At which point does the graph of the equation cross the \(y\)-axis? -$BR -Answer: \{ ans_rule(10) \} -END_TEXT - -###################################### -# Answers - -$showPartialCorrectAnswers = 1; - -ANS(str_cmp( $mc->correct_ans ) ) ; - -Context()->strings->add("No"=>{},"Yes"=>{}); - -$ans_b = "No"; -if ($y0==0) {$ans_b = "Yes";}; -ANS(String($ans_b)->cmp); +@slice = random_subset(4,0..4); +@fs = map { "\( $_ \)" } @functions[@slice]; + +$rb = RadioButtons([[@fs]], 0); + + +$f = Formula($functions[$slice[0]]); #Choose the first function in the list + +@y = map { $f->eval(x => $_)} -3..3; + +$dd = DropDown(['Yes', 'No'], $y[3] == 0 ? 0 : 1); Context("Point"); -$ans_c = Point($x_intercept[$slice[0]],0); -ANS($ans_c->cmp); +$xint = Point($x_intercept[$slice[0]],0); +$yint = Point(0,$y[3]); + +BEGIN_PGML +Use the table of values given below to solve the following exercises. + +[# + [. [`x`] .] [. [`y`] .]* + [. -3 .] [. [$y[0]] .]* + [. -2 .] [. [$y[1]] .]* + [. -1 .] [. [$y[2]] .]* + [. 0 .] [. [$y[3]] .]* + [. 1 .] [. [$y[4]] .]* + [. 2 .] [. [$y[5]] .]* + [. 3 .] [. [$y[6]] .]* + +#] + + +a) Which equation corresponds to the points given in the table? + + [_]{$rb} + +b) Does the graph of the equation pass through the origin? [_]{$dd} + +c) At which point does the graph of the equation cross the [`x`]-axis? + + Answer: [_]{$xint} + +d) At which point does the graph of the equation cross the [`y`]-axis? + + Answer: [_]{$yint} +END_PGML + +$m = $f->D('x'); + +BEGIN_PGML_SOLUTION +a) In this case, an increase of one in the [`x`], increases [`y`] by [$m]. Looking at the table, the [`y`]-intercept is [$y[3]]. Thus, the equation is [`[$f]`]. -$ans_d = Point(0,$y0); -ANS($ans_d->cmp); +b) Again, looking at the table, the middle of the table shows the [`y`]-intercept is [$y[3]], so the graph does [@ $y[3] == 0 ? '' : 'not' @] pass through the origin. -###################################### +c) The point which crosses the [`x`]-axis is [$xint]. -; -ENDDOCUMENT(); +d) The point which crosses the [`y`]-axis is [$yint]. +END_PGML_SOLUTION +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_10_GraphingEq.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_10_GraphingEq.pg index 0d8471c0f8..80f78a0592 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_10_GraphingEq.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_03_GraphingEquations/13IntAlg_10_GraphingEq.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Graphing Equations -## + ##ENDDESCRIPTION ## Date: 2007/09 ## DBsubject(Algebra) @@ -18,69 +18,37 @@ ## Problem1('') ## KEYWORDS('graph','points') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); - -###################################### -# Setup - -Context("Numeric"); - -$a = non_zero_random(-5,5,1); -$b = random(1,3,1); -@x = (random(-5,-1,1), 0, $b, $b + random(1,3,1)); - -###################################### -# Main text - -BEGIN_TEXT -For the equation, \( \displaystyle y = $a \), find the -\(y\)-coordinate for each value of \(x\). -$BR -(Note: If a value is not defined, enter $BITALIC Not defined $EITALIC.) -$PAR -$BCENTER -\{begintable(2)\} -\{row(' \(x\) ','\(y\)')\} -\{row( '\( $x[0] \)', ans_rule(10) )\} -\{row( '\( $x[1] \)', ans_rule(10))\} -\{row( '\( $x[2] \)', ans_rule(10))\} -\{row( '\( $x[3] \)', ans_rule(10))\} -\{endtable()\} -$ECENTER -$BR -END_TEXT - -###################################### -# Answers +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution -$showPartialCorrectAnswers = 1; +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); Context("LimitedNumeric"); Context()->strings->add("undefined"=>{}, "Does not exist"=>{alias=>'undefined'},"Not defined"=>{alias=>'undefined'}); -$ans_a = Real($a); -ANS($ans_a->cmp); +$a = non_zero_random(-5,5); +$b = random(1,3); +@x = (random(-5,-1), 0, $b, $b + random(1,3,1)); -$ans_b = Real($a); -ANS($ans_b->cmp); -$ans_c = Real($a); -ANS($ans_c->cmp); +BEGIN_PGML +For the equation, [` \displaystyle y = [$a] `], find the +[`y`]-coordinate for each value of [`x`]. -$ans_d = Real($a); -ANS($ans_d->cmp); +(Note: If a value is not defined, enter _Not defined_.) -###################################### +[# [. [`x`] .] [. [`y`] .]* + [. [`[$x[0]]`] .] [. [_]{Real($a)} .]* + [. [`[$x[1]]`] .] [. [_]{Real($a)} .]* + [. [`[$x[2]]`] .] [. [_]{Real($a)} .]* + [. [`[$x[3]]`] .] [. [_]{Real($a)} .]* + #]{align => '|r|l|', + horizontalrules => 1, padding => [0.25, 0.25]} -; -ENDDOCUMENT(); +END_PGML +BEGIN_PGML_SOLUTION +In this case, the function is just a constant, so the answer is [$a] for every value of [`x`]. +END_PGML_SOLUTION +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_01_SolveLinear.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_01_SolveLinear.pg index 8b53712958..e95049579d 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_01_SolveLinear.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_01_SolveLinear.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -19,50 +19,42 @@ ## KEYWORDS('linear equations','solving equations') ## Date: 2007/08 -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and added solution. + +DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "Parser.pl", - "MathObjects.pl", - "contextLimitedNumeric.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextLimitedNumeric.pl', 'PGcourse.pl'); -TEXT(beginproblem()); +Context("LimitedNumeric-StrictFraction"); -###################################### # Setup # Note: Values are chosen for integer answers -$a = random(2,5,1); -$b = random(1,9,1); -$n = random(1,4,1); +$a = random(2, 5); +$b = random(1, 9); +$n = random(1, 4); $c = $a * $n + $b; -###################################### # Main text -BEGIN_TEXT -Solve the equation for \( x \): -\[$a x + $b = $c\] -$PAR -\( x = \) \{ ans_rule(15) \} -$BR -END_TEXT - -###################################### -# Answers - -Context("LimitedNumeric-StrictFraction"); - -$ans = Real($n); -ANS(Compute($ans)->cmp); +BEGIN_PGML +Solve the equation for [` x `]: +[```[$a] x + [$b] = [$c]```] -$showPartialCorrectAnswers = 1; +[` x = `] [_]{Real($n)} -###################################### +END_PGML +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +[$a] x + [$b] & = [$c] \\ +& \qquad \qquad \text{Subtract [$b] from both sides} \\ +[$a] x & = [@ $c-$b@] \\ +& \qquad \qquad \text{Divide through by [$a]}\\ +x & = [$n] +\end{aligned} +```] +END_PGML_SOLUTION -; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_04_SolveLinear.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_04_SolveLinear.pg index f394d4efec..ed8d9aada2 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_04_SolveLinear.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_04_SolveLinear.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -18,51 +18,45 @@ ## KEYWORDS('linear equations','solving equations') ## Date: 2007/08 -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML -loadMacros( - "PGstandard.pl", - "Parser.pl", - "MathObjects.pl", - "contextLimitedNumeric.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextLimitedNumeric.pl', 'PGcourse.pl'); -###################################### -# Setup +Context("LimitedNumeric-StrictFraction"); -$a = random(3,14,1); -$b = random(2,7,1); +$a = random(3,14); +$b = random(2,7); if ($a==$b) {$b=$a-1;} -$c = random(1,6,1); -$n = random(1,21,1); +$c = random(1,6); +$n = random(1,21); $d = ($a-$b)*$n + $c; -###################################### # Main text -BEGIN_TEXT -Solve the equation for \( x \): -\[$a x - ($b x -$c) = $d\] -$PAR -\( x = \) \{ans_rule(10) \} -$BR -END_TEXT - -###################################### -# Answers +BEGIN_PGML +Solve the equation for [` x `]: +[```[$a] x - ([$b] x -[$c]) = [$d]```] -Context("LimitedNumeric-StrictFraction"); +[` x = `] [_]{Real($n)}{10} -$ans = Real($n); -ANS($ans->cmp); +END_PGML -$showPartialCorrectAnswers = 1; +$ab = $a-$b; +$cd = $d-$c; +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +[$a] x - ([$b] x -[$c]) & = [$d] \qquad \text{expand the parenthetical term} \\ +[$a] x - [$b] x + [$c] & = [$d] \\ +[$ab] x + [$c] & = [$d] \\ +[$ab] x & = [$cd] \qquad \text{divide by [$ab]} \\ +x & = [$n] +\end{aligned} +```] +END_PGML_SOLUTION -###################################### -; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_05_SolveLinear.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_05_SolveLinear.pg index aa59b71ac6..56f01fdd43 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_05_SolveLinear.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_05_SolveLinear.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -18,51 +18,48 @@ ## KEYWORDS('linear equations','solving equations') ## Date: 2007/08 -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution. -loadMacros( - "PGstandard.pl", - "Parser.pl", - "MathObjects.pl", - "contextLimitedNumeric.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -###################################### -# Setup +Context("Fraction"); -$a = random(5,9,1); -$b = non_zero_random(-10,10,1); -$c = random(2,4,1); -$d = non_zero_random(-10,11,1); +$a = random(5, 9); +$b = non_zero_random(-10, 10); +$c = random(2, 4); +$d = non_zero_random(-10, 11); +$db = $d - $b; +$ac = $a - $c; +$x = Fraction($db, $ac); -###################################### -# Main text +BEGIN_PGML +Solve the equation for [` x `]: +[```[$a] x + [$b] = [$c] x + [$d]```] -BEGIN_TEXT -Solve the equation for \( x \): -\[$a x ? {$b} = $c x ? {$d}\] -$PAR - \( x = \) \{ans_rule(20) \} -$BR -END_TEXT + [` x = `] [_]{$x}{20} -###################################### -# Answers +END_PGML + +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +[$a] x + [$b] & = [$c] x + [$d] \\ +[$a] x & = [$c] x + [$db] \\ +[$ac] x & = [$db] \\ +x & = \frac{[$db]}{[$ac]} +\end{aligned} +```] +END_PGML_SOLUTION -Context("LimitedNumeric-StrictFraction"); +# Answers -($num,$den)= reduce($d - $b, $a - $c ); +($num, $den) = reduce($d - $b, $a - $c); $ans = Compute("$num/$den"); -if ($den==1) {$ans = Compute("$num");} -ANS($ans->cmp); +if ($den == 1) { $ans = Compute("$num"); } +# ANS($ans->cmp); $showPartialCorrectAnswers = 1; -###################################### - - -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_09_SolveLinear.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_09_SolveLinear.pg index 8127b8a090..95b0ca2e68 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_09_SolveLinear.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_09_SolveLinear.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -18,38 +18,47 @@ ## KEYWORDS('linear equations','solving equations') ## Date: 2007/08 +## Updated 2025.02 by Peter Staab, switch to PGML + DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "Parser.pl", - "MathObjects.pl", - "contextLimitedNumeric.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); + +Context('Fraction'); -TEXT(beginproblem()); +$c = random(2,5); +$b = random(1,5); +do {$a = random(2,4);} while (2*$c-$a==0); +$d = random(1,4); -###################################### -# Setup +$x = Fraction($c*$d + $a*$b, 2*$c - $a); -$c = random(2,5,1); -$b = random(1,5,1); -do {$a = random(2,4,1);} while (2*$c-$a==0); -$d = random(1,4,1); +BEGIN_PGML +Solve the equation for [` x `]: +[```[$a] (x + [$b]) = [$c] [x - ([$d] - x)] ```] -###################################### -# Main text +[` x = `] [_]{$x} + +END_PGML -BEGIN_TEXT -Solve the equation for \( x \): -\[$a (x + $b) = $c [x - ($d - x)] \] -$PAR -\( x = \) \{ans_rule(10) \} -$BR -END_TEXT +$ab = $a * $b; +$c2 = 2*$c; +$cd = $c * $d; +$ac2 = $a - $c2; +$abcd = -$ab -$cd; +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +[$a] (x + [$b]) & = [$c] [x - ([$d] - x)] \qquad \text{expand left side and within [ ]} \\ +[$a] x + [$ab] & = [$c] [ x - [$d] + x] \quad \text{simplify inside [ ]} \\ +[$a] x + [$ab] & = [$c] [2x - [$d] ] \quad \text{expand/distribute}\\ +[$a] x + [$ab] & = [$c2] x - [$cd] \\ +[$ac2] x & = [$abcd] \\ +x & = \frac{[$abcd]}{[$ac2]} = [$x] +\end{aligned} +```] +END_PGML_SOLUTION -###################################### # Answers Context("LimitedNumeric-StrictFraction"); @@ -57,12 +66,9 @@ Context("LimitedNumeric-StrictFraction"); ($num,$den)= reduce($c*$d + $a*$b, 2*$c - $a); $ans = Compute("$num/$den"); if ($den==1) {$ans = Compute("$num");} -ANS($ans->cmp); +# ANS($ans->cmp); $showPartialCorrectAnswers = 1; -###################################### - - ; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_10_SolveLinear.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_10_SolveLinear.pg index 205dc9e66e..d0ae154784 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_10_SolveLinear.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_10_SolveLinear.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -18,49 +18,52 @@ ## KEYWORDS('linear equations','solving equations') ## Date: 2007/08 -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML + +DOCUMENT(); # This should be the first executable line in the problem. + +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -loadMacros( - "PGstandard.pl", - "Parser.pl", - "MathObjects.pl", - "PGcourse.pl" -); +Context('Fraction'); -TEXT(beginproblem()); +$a = random(2, 3); +do { $b = random(2, 4); } while ($a == $b); +$c = ($b - $a) * random(1, 3); -###################################### -# Setup +$x = Fraction($a * $b * $c, $b - $a); -$a = random(2,3,1); -do {$b = random(2,4,1);} while($a==$b); -$c = ($b - $a) * random(1,3,1); +BEGIN_PGML +Solve the equation for [` x `]: +[```\frac{x}{[$a]} = \frac{x}{[$b]} + [$c]```] -###################################### -# Main text +[` x = `] [_]{$x} -BEGIN_TEXT -Solve the equation for \( x \): -\[\frac{x}{$a} = \frac{x}{$b} ? {$c}\] -$PAR -\( x = \) \{ans_rule(20) \} -$BR -END_TEXT +END_PGML + +$ab = $a * $b; +$abc = $ab * $c; +$ba = $b - $a; +BEGIN_PGML_SOLUTION +Mutiply the original equation by [$ab]: +[``` +\begin{aligned} +[$ab] \frac{x}{[$a]} & = [$ab] \left( \frac{x}{[$b]}+ [$c] \right) \\ +[$b] x & = [$a] x + [$abc] \\ +[$ba] x & = [$abc] \\ +x & = \frac{[$abc]}{[$ba]} = [$x] +\end{aligned} +```] +END_PGML_SOLUTION -###################################### # Answers -Context("LimitedNumeric-StrictFraction"); +Context("LimitedNumeric-StrictFraction"); -($num,$den)= reduce($a*$b*$c, $b-$a); +($num, $den) = reduce($a * $b * $c, $b - $a); $ans = Compute("$num/$den"); -if ($den==1) {$ans = Compute("$num");} -ANS($ans->cmp); +if ($den == 1) { $ans = Compute("$num"); } +# ANS($ans->cmp); $showPartialCorrectAnswers = 1; -###################################### - - -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_22_SolveLinear.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_22_SolveLinear.pg index 455d0e9359..c49be4f0d1 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_22_SolveLinear.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/14IntAlg_22_SolveLinear.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -18,51 +18,38 @@ ## KEYWORDS('linear equations','solving equations') ## Date: 2007/08 -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "Parser.pl", - "MathObjects.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -###################################### -# Setup +$time = random(10, 15, 1); +$money = 165 * $time + 2771; -$time = random(10,15,1); -$money = 165*$time+2771; +$year = Compute(1996 + $time); -###################################### -# Main text - -BEGIN_TEXT -The average cost of tuition and fees at public four year colleges in the +BEGIN_PGML +The average cost of tuition and fees at public four year colleges in the United States can be modeled by the formula -\[ T = 165x+2771, \] -where $BITALIC T $EITALIC represents the average cost of tuition and fees for the school -year ending $BITALIC x $EITALIC years after 1996. Use the formula to determine the year -when tuition and fees at public U.S. colleges average $DOLLAR$money. -$BR -(Note: Give the year. For example, if you calculate that the answer is 9 years -after 1996, then enter $BITALIC 2005 $EITALIC.) -$PAR -Answer: \{ans_rule(10) \} -$BR -END_TEXT - -###################################### -# Answers +[``` T = 165x+2771, ```] +where _T_ represents the average cost of tuition and fees for the school +year ending _x_ years after 1996. Use the formula to determine the year +when tuition and fees at public U.S. colleges average $[$money]. -$ans = Compute(1996+$time); -ANS($ans->cmp); +(Note: Give the year. For example, if you calculate that the answer is 9 years +after 1996, then enter _2005_.) -$showPartialCorrectAnswers = 1; +Answer: [_]{$year} +END_PGML -###################################### +BEGIN_PGML_SOLUTION +In this case, the value of [`T`] is given by [$money] and then we solve: +[``` [$money] = 165 x + 2771 ```] +Subtract 2771 from both sides: -; +[```[$money-2771] = 165 x ```] +and divide by 165 to get +[```[@($money-2771)/165@] = x ```] +and add this value to 1996 to get that the year the average tuition reached $[$money] is [$year]. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/perltidy.ERR b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/perltidy.ERR new file mode 100644 index 0000000000..072b2f0df5 --- /dev/null +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_04_SolveLinearEq/perltidy.ERR @@ -0,0 +1,38 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +37: [``` T = 165x+2771, ```] + --^ +found String where operator expected (previous token underlined) + +37: [``` T = 165x+2771, ```] + ------------------^ +found String where operator expected (previous token underlined) + +39: year ending _x_ years after 1996. Use the formula to determine ... + ----- ^ +found bareword where operator expected (previous token underlined) + +There is no previous '[' to match a ']' on line 40 +40: ... ublic U.S. colleges average $[$money]. + ^ + +42: ... you calculate that the answer is 9 years + - ^ +found bareword where operator expected (previous token underlined) + +45: Answer: [_]{$year} + ^ +found bareword where operator expected + +Missing ';' or ',' above? + +50: [``` [$money] = 165 x + 2771 ```] + --^ +found String where operator expected (previous token underlined) + +There is no previous '[' to match a ']' on line 57 +57: ... the average tuition reached $[$money] is [$year]. + ^ +59: To save a full .LOG file rerun with -g diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_05_ProblemSolvingAndFormulas/15IntAlg_04_ProblemSolve.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_05_ProblemSolvingAndFormulas/15IntAlg_04_ProblemSolve.pg index f1ff95344e..b8c4f04dac 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_05_ProblemSolvingAndFormulas/15IntAlg_04_ProblemSolve.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_05_ProblemSolvingAndFormulas/15IntAlg_04_ProblemSolve.pg @@ -1,6 +1,5 @@ ##DESCRIPTION -## Word problem -## +## Find linear models of life expectency in the United States. ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -17,26 +16,24 @@ ## KEYWORDS('mathematical models','problem solving','formulas','algebra') ## Date: 2007/09 -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGML.pl", - "parserImplicitPlane.pl", - "PGcourse.pl" + "PGstandard.pl", "MathObjects.pl", + "PGML.pl", "parserImplicitPlane.pl", + "PGcourse.pl" ); ###################################### # Setup -$ans_b = Real(random(1980,2020,10)); # answer for part b -$n = 55 + 0.2*($ans_b-1900); +$ans_b = Real(random(1980, 2020, 10)); # answer for part b +$n = 55 + 0.2 * ($ans_b - 1900); Context("ImplicitPlane"); -Context()->variables->are(t=>"Real", n=>"Real"); +Context()->variables->are(t => "Real", n => "Real"); -$ans_a = ImplicitPlane("55 + .2 * t = n"); # answer for part a +$ans_a = ImplicitPlane("55 + .2 * t = n"); # answer for part a ###################################### # Main text @@ -72,4 +69,4 @@ and then use that to find the year [`1900+t=1900+[@ ($n - 55)/0.2 @] = [$ans_b]`]. END_PGML_SOLUTION -ENDDOCUMENT(); \ No newline at end of file +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_07_ScientificNotation/17IntAlg_17_SolveLinearEq_Review.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_07_ScientificNotation/17IntAlg_17_SolveLinearEq_Review.pg index 3ab77376dd..5f313f8340 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_07_ScientificNotation/17IntAlg_17_SolveLinearEq_Review.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_01_07_ScientificNotation/17IntAlg_17_SolveLinearEq_Review.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -18,45 +18,43 @@ ## KEYWORDS('solve linear equation') ## Date: 2007/09 -DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextScientificNotation.pl", - "contextLimitedNumeric.pl", - "PGcourse.pl" -); +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -TEXT(beginproblem()); +DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -###################################### -# Setup +Context('Fraction'); -$a = random(3,5,2); -$b = random(2,3,1); +$a = random(3, 5, 2); +$b = random(2, 3); $c = $b - 1; -$d = random(2,3,1); +$d = random(2, 3); $e = $b * $d; -###################################### -# Main text - -BEGIN_TEXT -Solve the equation for \( x \) -\[ \frac{x}{$a} + \frac{$c}{$b} = \frac{x}{$e}\] -\( x = \) \{ans_rule(10) \} -END_TEXT - -###################################### -# Answers - -$answer = Compute(($a * $c * $d)/($a - $b * $d)); -ANS($answer->cmp); - -$showPartialCorrectAnswers = 1; - -###################################### - +$denom = lcm($a, $b, $e); + +$x = Fraction($a * $c * $d, $a - $b * $d); + +BEGIN_PGML +Solve the equation for [` x `] +[``` \frac{x}{[$a]} + \frac{[$c]}{[$b]} = \frac{x}{[$e]}```] +[` x = `] [_]{$x} +END_PGML + +$a1 = $denom / $a; +$b1 = $denom * Fraction($c, $b); +$c1 = $denom / $e; +$ac1 = $a1 - $c1; +BEGIN_PGML_SOLUTION +Note that a common denominator (lcm) of all of the fractions is [$denom]. Multiply through by this: +[``` +\begin{aligned} + [$denom] \left( \frac{x}{[$a]} + \frac{[$c]}{[$b]} \right) & = [$denom] \cdot \frac{x}{[$e]} \\ + [$a1] x + [$b1] & = [$c1] x \\ + [$ac1] x & = -[$b1] \\ + x & = - \frac{[$b1]}{[$ac1]} = [$x] +\end{aligned} +```] +END_PGML_SOLUTION -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/21IntAlg_07_function.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/21IntAlg_07_function.pg index 584d08a320..62a1cb843c 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/21IntAlg_07_function.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/21IntAlg_07_function.pg @@ -1,6 +1,5 @@ ##DESCRIPTION -## Introduction to Functions -## +## Linear model of women in U.S. Colleges. ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -19,74 +18,48 @@ ## KEYWORDS('functions') ## Date: 2007/09 updated 2013/08 -rac -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextLimitedNumeric.pl", - "PGcourse.pl" + "PGstandard.pl", "PGML.pl", + "contextLimitedNumeric.pl", "PGcourse.pl" ); -TEXT(beginproblem()); - -###################################### -# Setup - -Context("Numeric"); +Context('Numeric'); $W = Formula("0.07*x+4.1"); $M = Formula("0.01*x+3.9"); -$num = random(1985,2006,1); - -###################################### -# Main text - -BEGIN_TEXT -The function \[ W(x) = \{$W->TeX\}\] models the number of women, -${BITALIC}W(x)${EITALIC}, in millions, enrolled in U.S. colleges \(x\) years -after 1984. The function \[M(x)= \{$M->TeX\}\] models the number of -men, ${BITALIC}M(x)${EITALIC}, in millions, enrolled in U.S. colleges \(x\) years -after 1984. -$PAR -a) Find the number (in millions) of women enrolled in U.S. colleges -in the year $num. -$BR -Answer:\{ans_rule(10)\} million women -$PAR -b) Find the number (in millions) of men enrolled in U.S. colleges -in the year $num. -$BR -Answer:\{ans_rule(10)\} million men -END_TEXT - -###################################### -# Answers - -$showPartialCorrectAnswers = 1; - Context("LimitedNumeric"); -$ans_a = $W->eval(x=>$num-1984); -ANS($ans_a->cmp); +$num = random(1993, 2015); + +$W0 = $W->eval(x => $num - 1984); + +$M0 = $M->eval(x => $num - 1984); + +BEGIN_PGML +The function [` W(x) = [$W] `] models the number of women in millions enrolled in U.S. colleges [`x`] years after 1984. +The function [`M(x)= [$M]`] models the number of men in millions, enrolled in U.S. colleges [`x`] years after 1984. + +a) Find the number (in millions) of women enrolled in U.S. colleges in the year [$num]. + + Answer: [_]{$W0} million women + +b) Find the number (in millions) of men enrolled in U.S. colleges in the year [$num]. + + Answer: [_]{$M0} million men + +END_PGML -$ans_b = $M->eval(x=>$num-1984); -ANS($ans_b->cmp); +$n = $num - 1984; +BEGIN_PGML_SOLUTION +These values are found by first finding [`x`], the number of years that [$num] is after 1984. This is [`[$num]-1984 = [$n] `]. Then substitute this value into the functions [`W(x)`] and [`M(x)`]: -###################################### -# Solution +In [$num] the enrollment in U.S. colleges by gender is: -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR SOLUTION $PAR -In $num the enrollment in U.S. colleges by gender is: -$BR -a) $ans_a million women -$BR -b) $ans_b million men -END_SOLUTION -Context()->normalStrings; +a) [`0.07([$n])+4.1 = [$W0]`] million women -; +b) [`0.01([$n])+3.9 = [$M0]`] million men +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/perltidy.ERR b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/perltidy.ERR new file mode 100644 index 0000000000..3d0a0071e7 --- /dev/null +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_01_IntroFunctions/perltidy.ERR @@ -0,0 +1,48 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +49: The function [`M(x)= [$M]`] models the number of men in millions ... + ^ +found bareword where operator expected + +Missing ';' or ',' above? + +51: a) Find the number (in millions) of women enrolled in U.S. colle ... + ^ +found bareword where operator expected + +Missing ';' or ',' above? + +There is no previous '(' to match a ')' on line 51 +51: a) Find the number (in millions) of women enrolled in U.S. colle ... + ^ + +51: a) Find the number (in millions) of women enrolled in U.S. colle ... + - ^ +found bareword where operator expected (previous token underlined) + +51: a) Find the number (in millions) of women enrolled in U.S. colle ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 55 +55: b) Find the number (in millions) of men enrolled in U.S. college ... + ^ + +55: b) Find the number (in millions) of men enrolled in U.S. college ... + - ^ +found bareword where operator expected (previous token underlined) + +55: b) Find the number (in millions) of men enrolled in U.S. college ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 67 +67: a) [`0.07([$n])+4.1 = [$W0]`] million women + ^ + +There is no previous '(' to match a ')' on line 69 +69: b) [`0.01([$n])+3.9 = [$M0]`] million men + ^ +71: To save a full .LOG file rerun with -g diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_02_AlgebraOfFunctions/22IntAlg_18_SolveLinearEq_Review.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_02_AlgebraOfFunctions/22IntAlg_18_SolveLinearEq_Review.pg index 63d54ee6af..2363fab54b 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_02_AlgebraOfFunctions/22IntAlg_18_SolveLinearEq_Review.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_02_AlgebraOfFunctions/22IntAlg_18_SolveLinearEq_Review.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## REVIEW: Solve a linear equation -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -19,15 +19,8 @@ DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -###################################### # Setup Context("Numeric"); @@ -36,27 +29,29 @@ $var = list_random("a", "b"); $m = random(6,10,1); -###################################### +$v2 = $var eq 'b' ? Formula("R/$m - a") :Formula("R/$m - b"); + + # Main text -BEGIN_TEXT -Solve the equation for \( $var \). - \[R = $m (a + b)\] -$PAR -\( $var = \) \{ans_rule(20) \} -$BR -END_TEXT +BEGIN_PGML +Solve the equation for [` [$var] `]. + [```R = [$m] (a + b)```] -###################################### -# Answers +[` [$var] = `] [_]{$v2 } +END_PGML -$showPartialCorrectAnswers = 1; -$ans = Formula("R/$m - b"); -if ($var eq "b") {$ans = Formula("R/$m - a");} -ANS($ans->cmp); +$v3 = $var eq 'b' ? 'a' : 'b'; -###################################### +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +R & = [$m](a+b) \\ +\frac{R}{[$m]} &= a+b \\ +[$var] & = \frac{R}{[$m]} - [$v3] +\end{aligned} +```] +END_PGML_SOLUTION -; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_01_Slope.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_01_Slope.pg index 41074c5acc..ff9fc2a0d8 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_01_Slope.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_01_Slope.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Slope -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -16,87 +16,41 @@ ## Section1('2.3') ## Problem1('') ## KEYWORDS('slope') -## Date: 2007/10 updated 2013/11 --rac - -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextFraction.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); - -###################################### -# Setup - -$n = random(1,3,1); - -$x1 = random(-3,3,1); -$y1 = random(2,4,1); -$x2 = $x1 + non_zero_random(-3,3,1); #No zeroes in the denonimator -$y2 = random(2,4,1); $y2 = 5; - -###################################### -# Main text - -BEGIN_TEXT -Find the slope, if possible, of the line passing through the points, \( ($x1, $y1) \) and \( ($x2, $y2) \) and describe the line. If the slope does not exist, enter $BITALIC Does not exist$EITALIC. -$PAR -a) \(m = \) \{ ans_rule(15) \} -$PAR -b) The line \{ pop_up_list(''=>'?', - 'falls'=>'falls','rises'=>'rises', - 'is horizontal'=>'is horizontal','is vertical'=>'is vertical') \}. -END_TEXT - -###################################### -# Answer - -$showPartialCorrectAnswers = 1; - -Context("Fraction"); -Context()->strings->add("Does not exist"=>{}, - "Not defined"=>{alias=>'Does not exist'}, - "rises"=>{}, - "falls"=>{}, - "is horizontal"=>{}, - "is vertical"=>{} - ); - -$ans_b = String("rises"); -if ($x2-$x1 != 0){ - $ans_a = Compute("($y2 - $y1)/($x2 - $x1)"); - if ($ans_a<=0) { - $ans_b = String("falls"); - if ($ans_a==0) {$ans_b = String("is horizontal");} - } - } -else { - $ans_a = String("Does not exist"); - $ans_b = String("is vertical"); - } - -ANS($ans_a->cmp); -ANS($ans_b->cmp); - -###################################### -# Solution - -$a_sol = $ans_a; -if ($x2-$x1 != 0){$a_sol="\(m = \frac{$y2-$y1}{$x2-$x1} = $ans_a\)";} - -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR SOLUTION $PAR -$BR -a) $a_sol -$BR -b) The line $ans_b. -END_SOLUTION -Context()->normalStrings; - -; -ENDDOCUMENT(); + +DOCUMENT(); + +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'parserPopUp.pl', 'PGcourse.pl'); + +Context('Fraction'); + +$n = random(1,3); +$x1 = random(-3,3); +$y1 = random(2,4); + +# produce a point with non-zero slope +$x2 = $x1 + non_zero_random(-3,3); +$y2 = $y2 + non_zero_random(-3,3); + +$m = Fraction($y2-$y1,$x2-$x1); + +$dd = DropDown(['falls', 'rises', 'is horizontal', 'is vertical'], $m > 0 ? 1 : 0); + +BEGIN_PGML +Find the slope, if possible, of the line passing through the points, [` ([$x1], [$y1]) `] and [` ([$x2], [$y2]) `] and describe the line. If the slope does not exist, enter _DNE_ for _Does not exist_. + +a) [`m = `] [_]{$m} + +b) The line [_]{$dd} +END_PGML + +BEGIN_PGML_SOLUTION + +a) The slope is + + [``` m = \frac{y_2-y_1}{x_2-x_1} = \frac{[$y2]-[$y1]}{[$x2]-[$x1]} = [$m] ```] + +b) [@ $m >0 ? 'Because the slope is positive, the line rises' : 'Because the slope is negative, the line falls.' @] + +END_PGML_SOLUTION + +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_07_Slope.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_07_Slope.pg index b5ee457a3c..3d398ff82d 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_07_Slope.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_03_LinearFunctionsAndSlope/23IntAlg_07_Slope.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Slope -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -14,99 +14,81 @@ ## AuthorText1('Blitzer') ## EditionText1('1') ## Section1('2.3') -## Problem1('') ## KEYWORDS('slope') -## Date: 2007/10 updated 2013/09 -rac - -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -###################################### -# Setup +DOCUMENT(); # This should be the first executable line in the problem. -Context("Numeric"); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl'); -#------Make the lines---------------- @slope = ("1/2", "-1/3", "-2", "3", "-1/2", "1", "0", "-2/3", "2", "3/2", "-1"); -$n = random(0,16,2); - -@m = ($slope[n],$slope[n+1],$slope[n+2]); -@num = (-2,-1, 1, 2); -@slice = NchooseK(4,3); -@b = @num[@slice]; #This is for the labels to show up -@line = (Formula("$m[0] x+$b[0]"), Formula("$m[1] x+$b[1]"), Formula("$m[2] x+$b[2]")); - -#------Make the graph---------------- -$refreshCachedImages=1; -$graph = init_graph(-6,-6,6,6,'axes'=>[0,0],'grid'=>[12,12]); -$graph->lb('reset'); -add_functions($graph, - "$line[0] for x in [-6,6] using color=blue and weight=3", - "$line[1] for x in [-6,6] using color=red and weight=3", - "$line[2] for x in [-6,6] using color=green and weight=3"); - -#----Label the graphs---------------- -$graph->lb(new Label(-1,$line[0]->eval(x=>-1), "Line 1",'black','center')); -$graph->lb(new Label(-2, $line[1]->eval(x=>-2), "Line 2",'black','center')); -$graph->lb(new Label(-1.5, $line[2]->eval(x=>-1.5), "Line 3",'black','center')); - -###################################### +$n = random(0, 8, 2); + +@m = map { Real($slope[ $n + $_ ])->value } (0 .. 2); +@num = (-3, -2, -1, 1, 2, 3); +@slice = random_subset(3, 0 .. 3); +@b = @num[@slice]; #This is for the labels to show up +@line = map { Formula("$slope[$n + $_] x+$b[$_]") } (0 .. 2); + +# determine the bounds of the lines for nicer plotting + +@xmax = map { + $m[$_] * 7.5 + $b[$_] > 7.5 ? (7.5 - $b[$_]) / $m[$_] + : $m[$_] * 7.5 + $b[$_] < -7.5 ? (-7.5 - $b[$_]) / $m[$_] + : 7.5 +} (0 .. 2); +@xmin = map { + $m[$_] * -7.5 + $b[$_] > 7.5 ? (7.5 - $b[$_]) / $m[$_] + : $m[$_] * -7.5 + $b[$_] < -7.5 ? (-7.5 - $b[$_]) / $m[$_] + : -7.5 +} (0 .. 2); + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] (-8.5,-8.5) rectangle (8.5,8.5); +\draw[gray] (-7,-7) grid (7,7); +\draw[->,thick] (-7.5,0) -- (7.5,0) node[above left,outer sep=3pt] {\(x\)}; +\foreach \x in {-7,...,-1,1,2,...,7} + \draw(\x,5pt) -- (\x,-5pt) node [below] {\(\x\)}; +\draw[->,thick] (0,-7.5) -- (0,7.5) node[below right,outer sep=3pt] {\(y\)}; +\foreach \y in {-7,...,-1,1,2,...,7} + \draw (5pt,\y) -- (-5pt,\y) node[left] {\(\y\)}; +\draw[blue,ultra thick,<->] plot[domain=$xmin[0]:$xmax[0]] (\x,{$m[0]*\x+$b[0]}); +\draw[red,ultra thick, dashed,<->] plot[domain=$xmin[1]:$xmax[1]] (\x,{$m[1]*\x+$b[1]}); +\draw[green, dotted,ultra thick,<->] plot[domain=$xmin[2]:$xmax[2]] (\x,{$m[2]*\x+$b[2]}); +END_TIKZ + # Main text -BEGIN_TEXT -$BCENTER -\{ image( insertGraph($graph), width=>350, - height=>350, tex_size=>600 ) \} -$ECENTER -$BR -$BR +BEGIN_PGML +>> + [@ image( insertGraph($graph), width=>500, + height=> 500, tex_size=>600 ) + @]* +<< + Use the graph, given above, to find the slope of each line. -$PAR -a) Slope of Line 1 (blue) = \{ans_rule(10)\} -$PAR -b) Slope of Line 2 (red) = \{ans_rule(10)\} -$PAR -b) Slope of Line 3 (green) = \{ans_rule(10)\} -END_TEXT - -###################################### -# Answer - -$showPartialCorrectAnswers = 1; - -Context("LimitedNumeric-Fraction"); -Context()->strings->add("Does not exist"=>{}, - "Not defined"=>{alias=>'Does not exist'}, - ); -$ans_a = Compute($m[0]); -$ans_b = Compute($m[1]); -$ans_c = Compute($m[2]); - -ANS($ans_a->cmp) ; -ANS($ans_b->cmp) ; -ANS($ans_c->cmp) ; - -###################################### -# Solution - -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR SOLUTION $PAR -$BR -a) Slope of Line 1 (blue) = $m[0] -$BR -b) Slope of Line 2 (red) = $m[1] -$BR -b) Slope of Line 3 (green) = $m[2] -END_SOLUTION -; -ENDDOCUMENT(); + +a) Slope of Line 1 (blue, solid) = [_]{Real($m[0])} + +b) Slope of Line 2 (red, dashed) = [_]{Real($m[1])} + +b) Slope of Line 3 (green, dotted) = [_]{Real($m[2])} +END_PGML + +BEGIN_PGML_SOLUTION + +a) Slope of Line 1 (blue) = [$m[0]] + +b) Slope of Line 2 (red) = [$m[1]] + +c) Slope of Line 3 (green) = [$m[2]] +END_PGML_SOLUTION + +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_03_LinearFunction.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_03_LinearFunction.pg index e2f985effa..e9519839b9 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_03_LinearFunction.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_03_LinearFunction.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Slope-intercept form of a linear function -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -17,87 +17,61 @@ ## KEYWORDS('linear function', 'slope-intercept form') ## Date: 2007/10 updated 2016/06 --rac -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.01 by Peter Staab, switch to PGML. + +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextFraction.pl", - "contextFunctionAssign.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'contextFraction.pl', 'contextFunctionAssign.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); - -###################################### -# Setup - -@slope = (1,2, 1,3, 1,4, 2,3, 3,4 ,3,2, 4,3); -$n = random(0,12,2); -$dy = $slope[$n] * (-1) ** random(1,2,1); -$dx = $slope[$n + 1]; - -$show_m = "\frac{$dy}{$dx}"; - -$x= non_zero_random(-6,6,1); -$y= random(-6,6,1); - -###################################### -# Main text - -BEGIN_TEXT -Write the equation of a line with the slope, \( $show_m \), which -passes through the point \( ($x, $y) \). Write the answer in slope-intercept form. -$PAR -Answer: \{ ans_rule(20) \} -END_TEXT - -###################################### -# Answer - -Context("Fraction"); +Context('Fraction'); +Context()->strings->add( + "Does not exist" => {}, + "Not defined" => { alias => 'Does not exist' } +); -Context()->strings->add("Does not exist"=>{}, - "Not defined"=>{alias=>'Does not exist'} - ); +@slope = (1, 2, 1, 3, 1, 4, 2, 3, 3, 4, 3, 2, 4, 3); +$n = random(0, 12, 2); +$dx = $slope[$n] * random(-1, 1, 2); +$dy = $slope[ $n + 1 ]; +$m = Fraction($dx, $dy); -($n2,$d2) = reduce($y*$dx - $dy*$x,$dx); -$b = Compute("$n2/$d2"); +$x = Real(non_zero_random(-6, 6)); +$y = Real(random(-6, 6)); -$m = Compute("$dy/$dx"); +$b = $y - $m * $x; parser::Assignment->Allow; -Context()->variables->add(y=>'Real'); -Context()->noreduce('(-x)-y','(-x)+y'); - -$answer = Compute("y=$m*x+$b")->reduce; -ANS($answer->cmp->withPostFilter( - sub { - my $ans = shift; - if ($ans->{ans_message} =~ /left side|it looks like|should be/) { - $ans->{ans_message} = "Your answer must be in slope-intercept form: $BR \(y = m x + b\)"; - } - return $ans; - } - )); - -$showPartialCorrectAnswers = 1; - -###################################### -# Solution - -Context()->texStrings; -BEGIN_SOLUTION -$PAR Solution: $BR $BR -The slope-intercept equation for a line is of the form \(y = mx + b\) and -for this line \(y = $m x + b.\) To calculate \(b,\) plug in the +Context()->variables->add(y => 'Real'); +Context()->noreduce('(-x)-y', '(-x)+y'); + +$line = Compute("y=$m*x+$b")->reduce; +$line_cmp = $line->cmp->withPostFilter(sub { + my $ans = shift; + if ($ans->{ans_message} =~ /left side|it looks like|should be/) { + $ans->{ans_message} = + "Your answer must be in slope-intercept form: $BR \(y = m x + b\)"; + } + return $ans; +}); + +BEGIN_PGML +Write the equation of a line with the slope, [` [$m] `], which +passes through the point [` ([$x], [$y]) `]. Write the answer in slope-intercept form. + +Answer: [_]{$line_cmp} +END_PGML + +BEGIN_PGML_SOLUTION +The slope-intercept equation for a line is of the form [`y = mx + b`] and +for this line [`y = [$m] x + b.`] To calculate [`b,`] plug in the values from the point and solve: - \[$y = $m($x) + b\] -\[b = $b\] -Answer: \(y = $m x + $b\) -END_SOLUTION -Context()->normalStrings; + [```[$y] = [$m]([$x]) + b```] +[```b = [$b]```] +Answer: [`y = [$m] x + [$b]`] +END_PGML_SOLUTION ENDDOCUMENT(); - - diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_15_LinearFunction.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_15_LinearFunction.pg index f0fe0f6967..67db70bca8 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_15_LinearFunction.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_15_LinearFunction.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Slope-intercept form of a linear function -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -16,124 +16,106 @@ ## Section1('2.4') ## Problem1('') ## KEYWORDS('linear function', 'slope-intercept form','lines') -## Date: 2007/10 updated 2016/06 --rac -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "contextLimitedNumeric.pl", - "parserImplicitPlane.pl", - "CofIdaho_macros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGtikz.pl', 'contextLimitedNumeric.pl', + 'parserImplicitPlane.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); - -###################################### -# Setup - -Context("Numeric"); - -#----Define the function -$xmin = -6; -$ymin = -6; -$xmax = 6; -$ymax = 6; - -@fraction = (1,2, 1,3, 1,4, 2,3, 3,4, 3,2, 1,1, 2,1, 3,1 ,4,1); -$n = random(0,14,2); - -$dy = $fraction[$n]* (-1)**random(1,2,1); -$dx = $fraction[$n+1]; -$slope = $dy / $dx ; -$b = random(-3,3,1); - -@slice = NchooseK(3,3); -@colors = ("blue", "red", "green"); -@sc = @colors[@slice]; #scrambled colors - -$f = Formula("$slope*x+$b"); - -#----Build the graph -$graph = init_graph($xmin,$ymin,$xmax,$ymax, - 'axes'=>[0,0], - 'grid'=>[$xmax-$xmin,$ymax-$ymin]); -$graph->lb('reset'); -add_functions( $graph,"$f for x in [$xmin,$xmax] using color=$sc[0] and weight=3"); - -$i = 0; # Number the axes -do { - $xtick = $i + $xmin + 1; - $labelx[$i] = new Label($xtick,0, "$xtick",'black','center'); - if ($xtick!=0) {$graph->lb($labelx[$i]);} - $i =$i+1; -} while ($i<($xmax-$xmin)-1); - -$i = 0; -do { - $ytick = $i +$ymin + 1; - $labely[$i] = new Label(-.2,$ytick+.1, "$ytick",'black','center'); - if ($ytick!=0) {$graph->lb($labely[$i]);} - $i =$i+1; -} while ($i<($ymax-$ymin)-1); - -###################################### -# Main text - -BEGIN_TEXT -$BCENTER -\{ image(insertGraph($graph),width=>400, height=>400, tex_size=>600) \} -$ECENTER -$BR $BR -Use the graph, given above, to find the slope and equation for the line. -$PAR -a) Slope of the line: \( m =\) \{ans_rule(10)\} -$PAR -b) Equation of the line: \{ans_rule(20)\} -END_TEXT - -###################################### -# Answer +@fraction = (1, 2, 1, 3, 1, 4, 2, 3, 3, 4, 3, 2, 1, 1, 2, 1, 3, 1, 4, 1); +$n = random(0, 14, 2); +$dy = $fraction[$n] * (-1)**random(1, 2, 1); +$dx = $fraction[ $n + 1 ]; +$m = $dy / $dx; +$b = random(-3, 3); +$f = Formula("$m*x+$b"); + +# determine the bounds of the lines for nicer plotting + +$xmax = + $m * 7.5 + $b > 7.5 ? (7.5 - $b) / $m + : $m * 7.5 + $b < -7.5 ? (-7.5 - $b) / $m + : 7.5; + +$xmin = + $m * -7.5 + $b > 7.5 ? (7.5 - $b) / $m + : $m * -7.5 + $b < -7.5 ? (-7.5 - $b) / $m + : -7.5; + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] (-8.5,-8.5) rectangle (8.5,8.5); +\draw[gray] (-7,-7) grid (7,7); +\draw[->,thick] (-7.5,0) -- (7.5,0) node[above left,outer sep=3pt] {\(x\)}; +\foreach \x in {-7,...,-1,1,2,...,7} + \draw(\x,5pt) -- (\x,-5pt) node [below] {\(\x\)}; +\draw[->,thick] (0,-7.5) -- (0,7.5) node[below right,outer sep=3pt] {\(y\)}; +\foreach \y in {-7,...,-1,1,2,...,7} + \draw (5pt,\y) -- (-5pt,\y) node[left] {\(\y\)}; +\draw[blue,ultra thick,<->] plot[domain=$xmin:$xmax] (\x,{$m*\x+$b}); +END_TIKZ Context("LimitedNumeric-Fraction"); -Context()->strings->add("Does not exist"=>{}, - "Not defined"=>{alias=>'Does not exist'} - ); +Context()->strings->add( + "Does not exist" => {}, + "Not defined" => { alias => 'Does not exist' } +); -$m= ReduceFraction($dy,$dx); -$ans_a = Compute($m); -ANS($ans_a->cmp); +($rise, $run) = reduce($dy, $dx); +$m = Compute("$rise/$run"); Context("ImplicitPlane"); -Context()->variables->are(x=>"Real",y=>"Real"); - -$ans_b = ImplicitPlane("y=$m*x+$b"); -ANS($ans_b->cmp->withPostFilter( - sub { - my $ans = shift; - if ($ans->{ans_message} =~ /left side|it looks like/) { - $ans->{ans_message} = "Your answer must be an equation: $BR \(y = m x + b\) or \(ax + by = c\)"; - } - return $ans; - } - )); - -$showPartialCorrectAnswers = 1; - -###################################### -# Solution - -Context()->texStrings; -BEGIN_SOLUTION -$PAR Solution: $BR $BR -a) Slope: \($m\) -$BR -b) Equation: \(y = $m x + $b\) -END_SOLUTION -Context()->normalStrings; +Context()->variables->are(x => "Real", y => "Real"); + +$eq = ImplicitPlane("y=$m*x+$b"); +$eq_cmp = $eq->cmp->withPostFilter(sub { + my $ans = shift; + if ($ans->{ans_message} =~ /left side|it looks like/) { + $ans->{ans_message} = + "Your answer must be an equation: $BR \(y = m x + b\) or \(ax + by = c\)"; + } + return $ans; +}); + +# Main text + +BEGIN_PGML + +>> [! alt text !]{$graph}{400} << + +Use the graph, given above, to find the slope and equation for the line. + +a) Slope of the line: [` m =`] [_]{$m} + +b) Equation of the line: [_]{$eq_cmp} +END_PGML + +$x0 = $dx; +$y0 = $b + $dy; + +BEGIN_PGML_SOLUTION +First, you will need to find the slope of the line. First, pick a point that is on grid. Two nices points are [` (0,[$b])`] and [` ([$x0], [$y0]) `]. + +a) Slope: + + [``` m= \frac{\text{rise}}{\text{run}} = \frac{[$y0]-[$b]}{[$x0]-0} = \frac{[$dy]}{[$dx]} ```] + +b) Equation: Since the [`y`]-intercept is a nice point [`(0,[$b])`], the line is [`y=mx+b`] or + +[```y = \frac{[$dy]}{[$dx]} x + [$b]```] + + +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_17_LinearFunction.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_17_LinearFunction.pg index d069d333d0..babffa13b7 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_17_LinearFunction.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_02_04_PointSlopeFormofLine/24IntAlg_17_LinearFunction.pg @@ -1,6 +1,6 @@ ##DESCRIPTION ## Slope-intercept form of a linear function -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -17,111 +17,74 @@ ## Section1('2.4') ## Problem1('') ## KEYWORDS('linear function', 'slope-intercept form') -## Date: 2007/10 updated 2016/06 --rac -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "contextLimitedNumeric.pl", - "parserImplicitPlane.pl", - "CofIdaho_macros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGtikz.pl', 'contextLimitedNumeric.pl', + 'parserImplicitPlane.pl', 'PGcourse.pl' +); + +Context('Numeric'); +Context()->strings->add( + "Does not exist" => {}, + "Not defined" => { alias => 'Does not exist' } ); -TEXT(beginproblem()); - -###################################### -# Setup - -$xmin = -6; -$ymin = -6; -$xmax = 6; -$ymax = 6; - -$b = random(-4,4,1); - -@slice = NchooseK(3,3); -@colors = ("blue", "red", "green"); -@sc = @colors[@slice]; #scrambled colors - -$f = Formula("$b"); - -#----Build the graph -$graph = init_graph($xmin,$ymin,$xmax,$ymax,'axes'=>[0,0],'grid'=>[12,12]); -$graph->lb('reset'); -add_functions( $graph,"$f for x in [$xmin,$xmax] using color=$sc[0] and weight=3"); - -$i = 0; # Number the axes -do { - $xtick = $i + $xmin + 1; - $labelx[$i] = new Label($xtick,0, "$xtick",'black','center'); - if ($xtick!=0) {$graph->lb($labelx[$i]);} - $i =$i+1; -} while ($i<($xmax-$xmin)-1); - -$i = 0; -do { - $ytick = $i +$ymin + 1; - $labely[$i] = new Label(-.2,$ytick+.1, "$ytick",'black','center'); - if ($ytick!=0) {$graph->lb($labely[$i]);} - $i =$i+1; -} while ($i<($ymax-$ymin)-1); - -###################################### -# Main text - -BEGIN_TEXT -$BCENTER -\{ image(insertGraph($graph),width=>400, height=>400, tex_size=>600) \} -$ECENTER -$BR $BR -Use the graph, given above, to find the slope and equation for the line. -$PAR -a) Slope of the line: \( m =\) \{ans_rule(10)\} -$PAR -b) Equation of the line: \{ans_rule(20)\} -END_TEXT - -###################################### -# Answer - -Context()->strings->add("Does not exist"=>{}, - "Not defined"=>{alias=>'Does not exist'} - ); - -$ans_a = Compute("0")->with(tolerance=>.01,toltype=>'absolute'); -ANS($ans_a->cmp); +$m = Real(0); +$b = random(-4, 4, 1); + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] (-8.5,-8.5) rectangle (8.5,8.5); +\draw[gray] (-7,-7) grid (7,7); +\draw[->,thick] (-7.5,0) -- (7.5,0) node[above left,outer sep=3pt] {\(x\)}; +\foreach \x in {-7,...,-1,1,2,...,7} + \draw(\x,5pt) -- (\x,-5pt) node [below] {\(\x\)}; +\draw[->,thick] (0,-7.5) -- (0,7.5) node[below right,outer sep=3pt] {\(y\)}; +\foreach \y in {-7,...,-1,1,2,...,7} + \draw (5pt,\y) -- (-5pt,\y) node[left] {\(\y\)}; +\draw[blue,ultra thick,<->] plot[domain=-7:7] (\x,$b); +END_TIKZ Context("ImplicitPlane"); -Context()->variables->are(x=>"Real",y=>"Real"); - -$ans_b = ImplicitPlane("y=$b"); -ANS($ans_b->cmp->withPostFilter( - sub { - my $ans = shift; - if ($ans->{ans_message} =~ /left side|it looks like/) { - $ans->{ans_message} = "Your answer must be an equation: $BR \(y = m x + b\) or \(ax + by = c\)"; - } - return $ans; - } - )); - -$showPartialCorrectAnswers = 1; - -###################################### -# Solution - -Context()->texStrings; -BEGIN_SOLUTION -$PAR Solution: $BR $BR -a) Slope: \($ans_a\) -$BR -b) Equation: \(y = $b\) -END_SOLUTION -Context()->normalStrings; +Context()->variables->are(x => "Real", y => "Real"); + +$eq = ImplicitPlane("y=$b"); +$eq_cmp = $eq->cmp->withPostFilter(sub { + my $ans = shift; + if ($ans->{ans_message} =~ /left side|it looks like/) { + $ans->{ans_message} = + "Your answer must be an equation: $BR \(y = m x + b\) or \(ax + by = c\)"; + } + return $ans; +}); + +BEGIN_PGML +>> + [!Plot of a horizontonal line that passes through (0,[$b])!]{$graph}{400} +<< + +Use the graph, given above, to find the slope and equation for the line. + +a) Slope of the line: [` m =`] [_]{$m} + +b) Equation of the line: [_]{$eq_cmp} +END_PGML + +BEGIN_PGML_SOLUTION + +a) Slope: In this case, the line is horizontal so the slope is 0. + +b) Equation: Notice that the [`y`]-intercept is [$b], so using the slope above with the equation [`y=mx+b`] results in [`y = [$b]`]. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_05_02_MultiplyPolynomials/52IntAlg_29_Lines_Review.pg b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_05_02_MultiplyPolynomials/52IntAlg_29_Lines_Review.pg index f0ae7809a6..ad2790ad1f 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_05_02_MultiplyPolynomials/52IntAlg_29_Lines_Review.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setAlgebra_05_02_MultiplyPolynomials/52IntAlg_29_Lines_Review.pg @@ -1,6 +1,6 @@ ###DESCRIPTION ## Review: Absolute Value -## + ##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) @@ -15,80 +15,60 @@ ## Section1('5.2') ## Problem1('') ## KEYWORDS('absolute value') -## Date: 2007/10 +## Date(2007/10/01) -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "CofIdaho_macros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'contextFraction.pl', 'contextFunctionAssign.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); - -###################################### -# Setup - -@slope = (2,1, 3,1, 4,1, 1,1, 1,2, 1,4, 3,4 ,3,2); -$n = random(0,14,2); -$dy = $slope[$n] * (-1) ** random(1,2,1); -$dx = $slope[$n + 1]; -$m = $dy / $dx; - -$b = random(-2,2,1); -$x1= non_zero_random(-6,6,1); -($num,$den)=reduce($dy * $x1 + $dx*$b,$dx); -$y1 = "$num/$den"; -if ($den==1) {$y1 = "$num";} - -###################################### -# Main text - -BEGIN_TEXT +Context('Fraction')->noreduce('(-x)-y', '(-x)+y'); + +@slope = (2, 1, 3, 1, 4, 1, 1, 1, 1, 2, 1, 4, 3, 4, 3, 2); +$n = random(0, 14, 2); +$dy = $slope[$n] * non_zero_random(-1, 1); +$dx = $slope[ $n + 1 ]; +$m = Fraction($dy, $dx); +$b = random(-2, 2); +$x1 = non_zero_random(-6, 6); +($num, $den) = reduce($dy * $x1 + $dx * $b, $dx); +$y1 = $den == 1 ? "$num" : "$num/$den"; + +parser::Assignment->Allow; +Context()->variables->add(y => 'Real'); +Context()->noreduce('(-x)-y', '(-x)+y'); + +$line = Compute("y=$m*x+$b")->reduce; +$line_cmp = $line->cmp->withPostFilter(sub { + my $ans = shift; + if ($ans->{ans_message} =~ /left side|it looks like|should be/) { + $ans->{ans_message} = + "Your answer must be in slope-intercept form: $BR \(y = m x + b\)"; + } + return $ans; +}); + +BEGIN_PGML Find the slope and the equation for the line passing -through the point \( ($x1, $y1) \) with \(y\)-intercept at -\(y = $b\). -$PAR -a) \( m =\) \{ ans_rule(10) \} -$PAR -b) The equation for the line in slope-intercept form: \{ ans_rule(20) \} -END_TEXT - -###################################### -# Answer - -$ans_a = Real("$dy/$dx"); -ANS($ans_a->cmp); +through the point [` ([$x1], [$y1]) `] with [`y`]-intercept at +[`y = [$b]`]. -$ans_b = "y = $dy/$dx x + $b"; -ANS(SlopeIntercept_equation_cmp($ans_b)); +a) [` m =`] [_]{$m} -$showPartialCorrectAnswers = 1; +b) The equation for the line in slope-intercept form: [_]{$line_cmp} +END_PGML -###################################### +$rhs = Formula("$m x + $b")->reduce; +BEGIN_PGML_SOLUTION +Recall that the slope through two points [`P(x_1, y_1)`] and [`Q(x_2, y_2)`] is +[``` m = \frac{y_2-y_1}{x_2-x_1} ```] +and [`Q`] is the [`y`]-intecept or [`Q(0,[$b])`]. The slope then is +[``` m= \frac{[$b]-[$y1]}{0-[$x1]} = [$m] ```] - -; +Therefore the equation of the line in slope-intercept form is +[``` y = m x+ b = [$rhs] ```] +END_PGML_SOLUTION ENDDOCUMENT(); - - - - - - - - - - - - - - - - - - - - diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_01_PictDistnsWGraphs.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_01_PictDistnsWGraphs.pg index 297a5d1407..d9492d8a68 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_01_PictDistnsWGraphs.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_01_PictDistnsWGraphs.pg @@ -12,95 +12,90 @@ ## Problem1('') ## KEYWORDS('statistics', 'quantitative data', 'categorical data') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" +DOCUMENT(); # This should be the first executable line in the problem. + +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); + +Context('Numeric'); + +$showPartialCorrectAnswers = 0; +@scramble = random_subset(3, 0 .. 3); + +@questions = ( + 'A survey records many variables of interest to the researchers ' + . 'conducting the survey. Below are some of the variables from a survey ' + . 'conducted by the U.S. Postal Service. Which of the variables is categorical?', + 'In order to rate TV shows, phone surveys are sometimes used. ' + . 'Such a survey might record several variables, some of which are listed below. ' + . 'Which of these variables are categorical?', + 'A professor records the values of several variables for each student in ' + . 'her class. These include the variables listed below. Which of ' + . 'these variables is categorical?', + 'A description of different houses on the market includes the ' + . 'following three variables. Which of the variables is quantitative?' ); -TEXT(beginproblem()); - -###################################### -# Setup - -@ThreeProblems = (0,1,2,3); #Order the problems -@scramble = NchooseK(4,3); -@order = @ThreeProblems[@scramble]; - -$mc[0] = new_multiple_choice(); - $mc[0]->qa("A survey records many variables of interest to the researchers - conducting the survey. Below are some of the variables from a survey - conducted by the U.S. Postal Service. Which of the variables is categorical? ", - "County of residence. "); - $mc[0]->extra("Number of people, both adults and children, living in the household. ", - "Total household income, before taxes, in 1993. ", - "Age of respondent. "); - $mc[0]->makeLast("None of the above. "); - -$mc[1] = new_multiple_choice(); - $mc[1] ->qa("In order to rate TV shows, phone surveys are sometimes used. - Such a survey might record several variables, some of which are listed below. - Which of these variables are categorical? ", - "The name of the show (if any) being watched."); - $mc[1]->extra("The number of persons watching the show. ", - "The ages of all persons watching the show. ", - "The number of times the show has been watched in the last month. "); - $mc[1]->makeLast("All of the above. "); - -$mc[2] = new_multiple_choice(); - $mc[2] ->qa("A professor records the values of several variables for each - student in her class. These include the variables listed below. Which of - these variables is categorical?","Final grade for the course (A, B, C, D, or F)."); - $mc[2]->extra("Score on the final exam (out of 200 points).", - "The total number of points earned in the class (i.e., the total of the points on all exams and quizzes in the course. The maximum number of points possible is 500). ", - "The number of lectures the student missed."); - $mc[2]->makeLast("None of the above. "); - -$mc[3] = new_multiple_choice(); - $mc[3] ->qa("A description of different houses on the market includes the - following three variables. Which of the variables is quantitative?", - "The monthly electric bill."); - $mc[3]->extra("The exterior paint colors.", - "The school district. ", - "The street number."); - $mc[3]->makeLast("None of the above. "); - -###################################### -# Main text - -BEGIN_TEXT +# The first option is the correct answer for each question. +@options = ( + [ + 'County of residence.', + 'Number of people, both adults and children, living in the household.', + 'Total household income, before taxes, in 1993.', + 'Age of respondent.' + ], + [ + 'The name of the show (if any) being watched.', + 'The number of persons watching the show.', + 'The ages of all persons watching the show.', + 'The number of times the show has been watched in the last month.' + ], + [ + 'Final grade for the course (A, B, C, D, or F).', + 'Score on the final exam (out of 200 points).', + 'The total number of points earned in the class (i.e., the total of the points ' + . 'on all exams and quizzes in the course. ' + . 'The maximum number of points possible is 500', + 'The number of lectures the student missed.' + ], + [ + 'The monthly electric bill.', + 'The exterior paint colors.', + 'The school district.', + 'The street number.' + ] +); + +@radios = + map { RadioButtons([ $options[$_], 'None of the above.' ], 0) } @scramble; + +BEGIN_PGML For each problem, select the best response. -$PAR -(a) \{ $mc[$order[0]] -> print_q() \} -$BR -\{$mc[$order[0]] -> print_a() \} +a) [$questions[$scramble[0]]] -$PAR -(b) \{ $mc[$order[1]] -> print_q() \} -$BR -\{$mc[$order[1]] -> print_a() \} + [_]{$radios[0]} -$PAR -(c) \{ $mc[3]-> print_q() \} -$BR -\{$mc[3] -> print_a() \} -END_TEXT +b) [$questions[$scramble[1]]] -###################################### -# Answers + [_]{$radios[1]} -$showPartialCorrectAnswers = 0; +c) [$questions[$scramble[2]]] -ANS(radio_cmp($mc[$order[0]]->correct_ans)); -ANS(radio_cmp($mc[$order[1]]->correct_ans)); -ANS(radio_cmp($mc[3]->correct_ans)); + [_]{$radios[2]} +END_PGML -COMMENT('Questions selected randomly from a larger set. See source for full question list.'); -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +a) [$radios[0]] +b) [$radios[1]] +c) [$radios[2]] +END_PGML_SOLUTION +COMMENT( + 'Questions selected randomly from a larger set. See source for full question list.' +); +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_03_PictDistnsWGraphs.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_03_PictDistnsWGraphs.pg index 420b41319a..151c6d6003 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_03_PictDistnsWGraphs.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_03_PictDistnsWGraphs.pg @@ -1,4 +1,6 @@ -##DESCRIPTION +## DESCRIPTION +## Determine quantitative versus qualitative variables. +## ENDDESCRIPTION ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Classifying data) @@ -12,75 +14,74 @@ ## Section1('1') ## Problem1('') ## KEYWORDS('statistics', 'producing data') -## + ##ENDDESCRIPTION -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. + +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); + +Context('Numeric'); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" +$showPartialCorrectAnswers = 0; + +@event = ( + "Percent of freshmen who eventually graduate.", + "Mean faculty salary.", + "G.P.A of incoming freshmen.", + "Require SAT or ACT for admission (required, recommended, not used)?", + "College type: liberal arts college, national university, etc.", + "The kinds of sports teams at the college." +); +@ans = ( + "QUANTITATIVE", "QUANTITATIVE", "QUANTITATIVE", "CATEGORICAL", + "CATEGORICAL", "CATEGORICAL" ); -TEXT(beginproblem()); +@ans = (0, 0, 0, 1, 1, 1); -################################################# -# Set-up +$opts = [ 'Quantitative', 'Categorical' ]; -@event = ("Percent of freshmen who eventually graduate.", - "Mean faculty salary.", - "G.P.A of incoming freshmen.", - "Require SAT or ACT for admission (required, recommended, not used)?", - "College type: liberal arts college, national university, etc.", - "The kinds of sports teams at the college."); -@ans = ("QUANTITATIVE", "QUANTITATIVE", "QUANTITATIVE", "CATEGORICAL", "CATEGORICAL", "CATEGORICAL"); +@slice = random_subset(4, 0 .. 5); +@sevent = @event[@slice]; -@slice = NchooseK(6,4); -@sevent = (@event[@slice]); -@sans = (@ans[@slice]); +@dd = map { DropDown($opts, $ans[$_]) } @slice; -################################################# -# Main +BEGIN_PGML -BEGIN_TEXT +Popular magazines rank colleges and universities on their academic quality in serving undergraduate students. Below are several variables that might contribute to ranking colleges. Which of these are categorical and which are quantitative? -Popular magazines rank colleges and universities on their academic quality in serving undergraduate students. Below are several variables that might contribute to ranking colleges. Which of these are categorical and which are quantitative? Write "QUANTITATIVE" for quantitative and "CATEGORICAL" for categorical (without quotations). +a) [$sevent[0]] -$PAR -(a) $sevent[0] -$BR -Answer: \{ans_rule(12)\} + Answer: [_]{$dd[0]} -$PAR -(b) $sevent[1] -$BR -Answer: \{ans_rule(12)\} +b) [$sevent[1]] -$PAR -(c) $sevent[2] -$BR -Answer: \{ans_rule(12)\} + Answer: [_]{$dd[1]} -$PAR -(d) $sevent[3] -$BR -Answer: \{ans_rule(12)\} +c) [$sevent[2]] -END_TEXT + Answer: [_]{$dd[2]} -################################################# -# Answers +d) [$sevent[3]] -$showPartialCorrectAnswers = 1; + Answer: [_]{$dd[3]} -Context()->strings->add("quantitative"=>{},"categorical"=>{}); +END_PGML -ANS(String($sans[0])->cmp); -ANS(String($sans[1])->cmp); -ANS(String($sans[2])->cmp); -ANS(String($sans[3])->cmp); +BEGIN_PGML_SOLUTION +Quantitative variables are generally ones that take on numeric values and categorical ones take on categories. -COMMENT('Questions selected randomly from a larger set. See source for full question list.'); -ENDDOCUMENT(); # This should be the last executable line in the problem. +a) [$dd[0]] + +b) [$dd[1]] + +c) [$dd[2]] + +d) [$dd[3]] +END_PGML_SOLUTION + +COMMENT( + 'Questions selected randomly from a larger set. See source for full question list.' +); +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_04_PictDistnsWGraphs.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_04_PictDistnsWGraphs.pg index 51d1619a6a..55daa33657 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_04_PictDistnsWGraphs.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_04_PictDistnsWGraphs.pg @@ -1,4 +1,6 @@ ## DESCRIPTION +## Determine quantitative versus qualitative variables. +## ENDDESCRIPTION ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Classifying data) @@ -13,73 +15,61 @@ ## Problem1('') ## KEYWORDS('statistics', 'quantitative data', 'categorical data') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); + +$showPartialCorrectAnswers = 0; -TEXT(beginproblem()); +@event = ( + "The amount of bacteria on a piece of moldy bread.", + "The marital status of your coworkers.", + "The occupation of your neighbors.", + "The time it takes for your car to get an oil change.", + "How long it takes you to run a mile.", + "The condition of a used car you're thinking about purchasing." +); -###################################### -# Setup +@ans = (0, 1, 1, 0, 0, 1); -@event = ("The amount of bacteria on a piece of moldy bread.", - "The marital status of your coworkers.", - "The occupation of your neighbors.", - "The time it takes for your car to get an oil change.", - "How long it takes you to run a mile.", - "The condition of a used car you're thinking about purchasing."); -@ans = ("QUANTITATIVE", "CATEGORICAL", "CATEGORICAL", "QUANTITATIVE", "QUANTITATIVE", - "CATEGORICAL"); +$opts = [ 'Quantitative', 'Categorical' ]; -@slice = NchooseK(6,4); -@sevent = (@event[@slice]); -@sans = (@ans[@slice]); +@slice = random_subset(4, 0 .. 5); +@sevent = @event[@slice]; -###################################### -# Main text +@dd = map { DropDown($opts, $ans[$_]) } @slice; -BEGIN_TEXT +BEGIN_PGML Determine whether the following examples of data are quantitative or categorical. -Write "QUANTITATIVE" for quantitative and "CATEGORICAL" for categorical (without quotations). -$PAR -(a) \( \) $sevent[0] -$BR -Answer: \{ans_rule(20)\} +a) [` `] [$sevent[0]] -$PAR -(b) \( \) $sevent[1] -$BR -Answer: \{ans_rule(20)\} + Answer: [_]{$dd[0]} -$PAR -(c) \( \) $sevent[2] -$BR -Answer: \{ans_rule(20)\} +b) [` `] [$sevent[1]] -$PAR -(d) \( \) $sevent[3] -$BR -Answer: \{ans_rule(20)\} -END_TEXT + Answer: [_]{$dd[1]} -###################################### -# Answers +c) [` `] [$sevent[2]] -$showPartialCorrectAnswers = 1; + Answer: [_]{$dd[2]} -Context()->strings->add("quantitative"=>{},"categorical"=>{}); +d) [` `] [$sevent[3]] -ANS(String($sans[0])->cmp); -ANS(String($sans[1])->cmp); -ANS(String($sans[2])->cmp); -ANS(String($sans[3])->cmp); + Answer: [_]{$dd[3]} +END_PGML -COMMENT('Questions selected randomly from a larger set. See source for full question list.'); -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +Quantitative variables are generally numerical and categorical variables are not. The answers are: +a) [$dd[0]] +b) [$dd[1]] +c) [$dd[2]] +d) [$dd[3]] + +END_PGML_SOLUTION + +COMMENT( + 'Questions selected randomly from a larger set. See source for full question list.' +); +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_07_PictDistnsWGraphs/01Stats_07_PictDistnsWGraphs.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_07_PictDistnsWGraphs/01Stats_07_PictDistnsWGraphs.pg index 9aa347737e..85d27461c7 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_07_PictDistnsWGraphs/01Stats_07_PictDistnsWGraphs.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_07_PictDistnsWGraphs/01Stats_07_PictDistnsWGraphs.pg @@ -12,69 +12,119 @@ ## Problem1('') ## KEYWORDS('statistics', 'quantitative data', 'categorical data', 'histogram') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. + +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "PGgraphmacros.pl", - "PGchoicemacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'parserRadioButtons.pl', 'PGtikz.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); +$i = random(1, 4); +@nums = grep { $_ != $i } (1 .. 4); +# build a nice distribution that allows the answers to make sense below. +$y[0] = random(1, 6); +$y[$i] = 11; +$y[$_] = random(13, 18) for @nums; +$y[5] = random(3, 6); +$y[6] = random(1, 2); + +@cmprange = random_subset(2, 0 .. 5); +@ranges = map { (59 + 3 * $_) . '-' . (62 + 3 * $_) } @cmprange; + +# create the tikz code to make the bars for this. +$bars = ''; +for $i (0 .. $#y) { + $bars .= + "\filldraw[fill=LightBlue, draw = black] ({$i+1},0) rectangle ({$i+2}, {$y[$i]/2.5}); \n"; +} + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->tikzOptions('yscale = 0.6'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick, use as bounding box +] (-1,-1) rectangle (10,10); +\draw (0,0) -- (9.5,0) -- (9.5,9.5)-- (0, 9.5) --cycle; +\foreach \x in {59,62,...,80} + \draw({(\x-56)/3},5pt) -- ({(\x-56)/3},-5pt) node [below] {\(\x\)}; + +\foreach \y in {1,...,20} \draw[thin, lightgray] (0,{\y/2.5}) -- (9.5,{\y/2.5}); +\foreach \y in {5,10,...,20} + \draw (5pt,{\y/2.5}) -- (-5pt,{\y/2.5}) node[left] {\(\y\)}; +$bars + +END_TIKZ + +$rb1 = RadioButtons( + [ + '59-62 inches', + '62-65 inches', + '65-68 inches', + '68-71 inches', + '71-74 inches', + '74-77 inches', + '77-80 inches' + ], + $i +); -###################################### -# Setup +$rb2 = RadioButtons( + [ + 'The tallest person must have a height of at least 77 inches.', + 'The histogram is symmetric.', + 'Approximately half the students have heights between 65 and 71 inches.', + 'None of the Above' + ], + 0 +); -@ThreeProblems = (0,1); #Order the problems -@scramble = NchooseK(2,2); -@order = @ThreeProblems[@scramble]; +$rb3 = RadioButtons([ 'True', 'False' ], + $y[ $cmprange[0] ] > $y[ $cmprange[1] ] ? 0 : 1); -$mc[0] = new_multiple_choice(); - $mc[0]->qa("The interval that contains closest to 10 students is ","68-71 inches. "); - $mc[0]->extra("59-65 inches. ", - "56-68 inches. ", - "74-80 inches. "); - $mc[0]->makeLast("None of the above. "); +BEGIN_PGML +Consider the histogram given below: +(*Click on the image for a larger view.*) -$mc[1] = new_multiple_choice(); - $mc[1] ->qa("Which of the following is a correct statement? ", - "None of the above are correct."); - $mc[1]->extra("The tallest person must have a height of at least 79 inches. ", - "The histogram is symmetric. ", - "Approximately half the students have heights between 65 and 71 inches. "); - $mc[1]->makeLast("None of the above are correct."); +[! alt text !]{$graph}{500} -###################################### -# Main text +a) The interval that contains closest to 10 students is -BEGIN_TEXT -Consider the histogram given below: -($BBOLD Click on the image for a larger view. $EBOLD) -$PAR -\{ image("Ref_1_2.gif", height=>300, width=>400, tex_size => 200) \} + [_]{$rb1} + +b) Which of the following is a correct statement? + + [_]{$rb2} + +c) There are more students of height in the range [$ranges[0]] than in the range +[$ranges[1]]? + + [_]{$rb3} -$PAR -(a) \{ $mc[$order[0]] -> print_q() \} -$BR -\{$mc[$order[0]] -> print_a() \} +END_PGML -$PAR -(b) \{ $mc[$order[1]] -> print_q() \} -$BR -\{$mc[$order[1]] -> print_a() \} -END_TEXT +BEGIN_PGML_SOLUTION -###################################### -# Answers +[$cmprange[0]], [$cmprange[1]] -$showPartialCorrectAnswers = 0; +[$y[$cmprange[0]]], [$y[$cmprange[1]]] -ANS(radio_cmp($mc[$order[0]]->correct_ans)); -ANS(radio_cmp($mc[$order[1]]->correct_ans)); +[$ranges[0]], [$ranges[1]] -ENDDOCUMENT(); # This should be the last executable line in the problem. +For this, translate the bar heights into numbers. +a) The interval that contains closest to 10 students in [$rb1] +b) The only statement that is true is the _tallest person must have a height of at least 79 inches_. +c) Again, looking at bar heights, this is [$rb3] +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_08_PictDistnsWGraphs/01Stats_08_PictDistnsWGraphs.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_08_PictDistnsWGraphs/01Stats_08_PictDistnsWGraphs.pg index d9612ced39..2ac0621dc6 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_08_PictDistnsWGraphs/01Stats_08_PictDistnsWGraphs.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_08_PictDistnsWGraphs/01Stats_08_PictDistnsWGraphs.pg @@ -12,78 +12,93 @@ ## Problem1('') ## KEYWORDS('statistics', 'quantitative data', 'categorical data', 'histogram') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "PGgraphmacros.pl", - "PGchoicemacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'parserRadioButtons.pl', 'PGtikz.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); - -###################################### # Setup -@ThreeProblems = (0,1,2); #Order the problems -@scramble = NchooseK(3,3); -@order = @ThreeProblems[@scramble]; - -$mc[0] = new_multiple_choice(); - $mc[0]->qa("The number of students with under 10 dollars in their possession is closest to ","60 "); - $mc[0]->extra("50 ", - "40 ", - "70 "); - -$mc[1] = new_multiple_choice(); - $mc[1] ->qa("The histogram ","all of the above."); - $mc[1]->extra("is skewed right. ", - "has an outlier. ", - "is asymmetric. "); - $mc[1]->makeLast("all of the above."); - -$mc[2] = new_multiple_choice(); - $mc[2] ->qa("The percentage of students with over 20 dollars in their possession is", - "about 20$PERCENT."); - $mc[2]->extra("about 10$PERCENT.", - "about 30$PERCENT. ", - "over 40$PERCENT."); - -###################################### -# Main text - -BEGIN_TEXT -In a statistics class with 136 students, the professor records how much money -each student has in their possession during the first class of the semester. +# Create a distribution to more easily answer the questions below +do { + @y = map { random(50 - 15 * $_, 60 - 15 * $_) } (0 .. 3); + $y[$_] = random(0, 1) * random(0, 3) for (4 .. 9); + $y[10] = random(1, 2); + $total = 0; + $total += $_ for @y; + $over30 = 0; + $over30 += $y[$_] for (3 .. 10); +} until ($over30 / $total > 0.08 && $over30 / $total < 0.12); + +# create the tikz code to make the bars for this. +$bars = ''; +for $i (0 .. $#y) { + $bars .= + "\filldraw[fill=LightBlue, draw = black] ({10*$i/12},0) rectangle ({(10*($i+1))/12}, {$y[$i]/7}); \n"; +} + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->tikzOptions('yscale = 0.6'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.25]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick, use as bounding box +] (-1.25,-1) rectangle (10,10); +\foreach \y in {5,10,...,60} + \draw[lightgray] (-0.5,{\y/7}) -- ({115/12},{\y/7}); +\draw (-0.5,0) -- (9.5,0) -- (9.5,9.5)-- (-0.5, 9.5) --cycle; +\foreach \x in {0,10,...,110} + \draw({\x/12},5pt) -- ({\x/12},-5pt) node [below] {\(\x\)}; + +%\foreach \y in {1,...,20} \draw[thin, lightgray] (0,{\y/2.5}) -- (9.5,{\y/2.5}); +\foreach \y in {10,20,...,60} + \draw (-0.4,{\y/7}) -- (-0.6,{\y/7}) node[left] {\(\y\)}; +$bars + +END_TIKZ + +$rb2 = RadioButtons( + [ 'symmetric', 'skewed right', 'skewed left', 'none of the above' ], 1); + +$rb3 = RadioButtons( + [ 'above 30%', 'between 20% and 30%', 'about 10%', 'less than 3%' ], 2); + +$showPartialCorrectAnswers = 0; + +BEGIN_PGML +In a statistics class with [$total] students, the professor records how much money +each student has in their possession during the first class of the semester. The histogram below is of the data collected. -($BBOLD Click on the image for a larger view. $EBOLD) -$PAR -\{ image("Ref_1_4.gif", height=>300, width=>400, tex_size => 200) \} -$PAR -(a) \{ $mc[$order[0]] -> print_q() \} -$BR -\{$mc[$order[0]] -> print_a() \} -$PAR -(b) \{ $mc[$order[1]] -> print_q() \} -$BR -\{$mc[$order[1]] -> print_a() \} +[! alt text !]{$graph}{450} -$PAR -(c) \{ $mc[$order[2]] -> print_q() \} -$BR -\{$mc[$order[2]] -> print_a() \} -END_TEXT +a) The number of students with under $10 in their possession is [_]{$y[0]}{5} -###################################### -# Answers +b) The histogram is -$showPartialCorrectAnswers = 0; + [_]{$rb2} + +c) The percentage of students with over $20 in their possession is + + [_]{$rb3} +END_PGML + +BEGIN_PGML_SOLUTION +For this, read off the approximate bar heights to answer the questions. + +a) This needs a careful eye, but the answer is [$y[0]]. + +b) Because there is a large peak on the left and a long tail to the right, this is _skewed right_. -ANS(radio_cmp($mc[$order[0]]->correct_ans)); -ANS(radio_cmp($mc[$order[1]]->correct_ans)); -ANS(radio_cmp($mc[$order[2]]->correct_ans)); +c) For this, total all of the heights of the bars. The total heights of those over $30 is [$over30] and since there are [$total] students, this is about 10%. +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_11_PictDistnsWGraphs/01Stats_11_PictDistnsWGraphs.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_11_PictDistnsWGraphs/01Stats_11_PictDistnsWGraphs.pg index 15b8ba0cdc..e3362475a2 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_11_PictDistnsWGraphs/01Stats_11_PictDistnsWGraphs.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch01PicturingDistributionsWithGraphs/01Stats_11_PictDistnsWGraphs/01Stats_11_PictDistnsWGraphs.pg @@ -13,58 +13,54 @@ ## Problem1('') ## KEYWORDS('statistics', 'quantitative data', 'categorical data', 'bar graphs') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML, use a tikz graph and add a solution. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl'); -###################################### -# Setup +do { + @h = map { random(1, 5) } (0 .. 3); +} until ($h[0] + $h[1] + $h[2] + $h[3] == 10); -$mc = new_multiple_choice(); - $mc->qa("The percentage of students in the seminar who are not juniors is ","80$PERCENT "); - $mc->extra("20$PERCENT ", - "40$PERCENT ", - "60$PERCENT "); - $mc->makeLast("None of the above. "); +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-1, -1) rectangle (11, 7); +\draw[->, thick] (-1, 0) -- (10, 0); -###################################### -# Main text +\foreach \x/\label in {2/Frosh,4/Soph,6/Junior,8/Senior} + \draw(\x,0.25)--(\x,-0.25) node [below] {\label}; +\draw[->, thick] (0, -1) -- (0, 6); +\foreach \y in {1, ..., 5} + \draw (5pt, \y) -- (-5pt, \y) node[left] {\(\y\)}; -BEGIN_TEXT -Below is a bar graph of class standing for a Finance seminar -containing five students who are either freshman, sophomores, -juniors, or seniors. In the bar graph the bar for the juniors -has been omitted. -($BBOLD Click on the image for a larger view. $EBOLD) -$BR -\{ image("Ref_1_7.gif", height=>200, width=>250, tex_size => 300) \} +\filldraw[fill=LightBlue, draw=black] (1.2,0) rectangle (2.8,$h[0]); +\filldraw[fill=LightSalmon, draw=black] (3.2,0) rectangle (4.8,$h[1]); +\filldraw[fill=LightGreen, draw=black] (7.2,0) rectangle (8.8,$h[3]); -$PAR -(a) \{ $mc -> print_q() \} -$BR -\{$mc -> print_a() \} +END_TIKZ -$PAR -(b) The number of students in the seminar who are juniors is \{ans_rule(10)\}. -END_TEXT +$alt_text = + "A bar graph with vertical bars. The height of the bar labelled Freshman " + . "is $h[0]. The height of the bar labelled Sophomore is $h[1]. The height of the " + . "bar labelled Senior is $h[3]."; -###################################### -# Answers +BEGIN_PGML +Below is a bar graph of class standing for a Finance seminar containing ten students who are either freshman, sophomores, juniors, or seniors. In the bar graph the bar for the juniors has been omitted. -$showPartialCorrectAnswers = 0; +>>[! [$alt_text] !]{$graph}{400} << -ANS(radio_cmp($mc->correct_ans)); +a) What is the percentage of students in the seminar who are not juniors? [_]{Real(100-10*$h[2])} + +b) The number of students in the seminar who are juniors is [_]{Real($h[2])} +END_PGML -$ans_b = Real("1"); -ANS($ans_b->cmp); - - -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_04_DescrData.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_04_DescrData.pg index edccb8f05d..0584a34a2c 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_04_DescrData.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_04_DescrData.pg @@ -15,67 +15,62 @@ ## Problem1('') ## KEYWORDS('statistics', 'skewed', 'mean', 'median') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGstatisticsmacros.pl', 'parserPopUp.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); - -###################################### # Setup -$a6 = Real(random(70,85,1)); -$a5 = $a6-random(0,3,1); -$a4 = $a5-random(1,5,1); -$a3 = $a4-random(0,10,1); -$a2 = $a3-random(1,3,1); -$a1 = $a2-random(1,20,1); -$a7 = $a6+random(1,3,1); -$a8 = $a7+random(0,4,1); -$a9 = $a8+random(0,3,1); -$a10 = $a8+random(1,3,1); -$a11 = random($a10,100,1); - -$mean = ($a1+$a2+$a3+$a4+$a5+$a6+$a7+$a8+$a9+$a10+$a11)/11; -$median = $a6; - -if ($mean > $median) { $ans="SKEWED RIGHT";} -if ($mean < $median) { $ans="SKEWED LEFT";} -if ($mean == $median) { $ans="SYMMETRIC";} - -################################################# -# Main - -BEGIN_TEXT +$a[5] = Real(random(70, 85)); +$a[4] = $a[5] - random(0, 3); +$a[3] = $a[4] - random(1, 5); +$a[2] = $a[3] - random(0, 10); +$a[1] = $a[2] - random(1, 3); +$a[0] = $a[1] - random(1, 20); +$a[6] = $a[5] + random(1, 3); +$a[7] = $a[6] + random(0, 4); +$a[8] = $a[7] + random(0, 3); +$a[9] = $a[7] + random(1, 3); +$a[10] = random($a[9], 100); + +$mean = stats_mean(@a); +$median = $a[5]; + +if ($mean > $median) { $ans = "SKEWED RIGHT"; } +if ($mean < $median) { $ans = "SKEWED LEFT"; } +if ($mean == $median) { $ans = "SYMMETRIC"; } + +$i = $mean > $median ? 0 : ($mean < $median ? 1 : 2); +$dd = DropDown([ 'Skewed Right', 'Skewed Left', 'Symmetric' ], $i); + +BEGIN_PGML Calculate the mean and median of the following grades on a math test: -\[ $a11, \ $a10, \ $a9, \ $a8, \ $a7, \ $a6, \ $a5, \ $a4, \ $a3, \ $a2, \ $a1 \] -$PAR -Mean = \{ans_rule(10)\} +[``` [@ join(", ", reverse(@a)) @] ```] + +a) Mean = [_]{$mean}{10} + +b) Median = [_]{$median}{10} -$PAR -Median = \{ans_rule(10)\} +c) Is this data set skewed to the right, symmetric, or skewed to the left? [_]{$dd} +END_PGML -$PAR -Is this data set skewed to the right, symmetric, or skewed to the left? \{ans_rule(20)\} -$BR -(Enter "SKEWED RIGHT", "SYMMETRIC", or "SKEWED LEFT"); -END_TEXT +($sum) = stats_SX_SXX(@a); -###################################### -# Answers +$skew = $i == 0 ? '<' : $i == 1 ? '>' : '='; -$showPartialCorrectAnswers = 1; +BEGIN_PGML_SOLUTION -Context()->strings->add("skewed right"=>{},"symmetric"=>{},"skewed left"=>{}); +a) The mean is the sum of the data over the number of data or +[``` \bar{x} = \frac{[$sum]}{11} = [$mean] ```] -ANS($mean->cmp); -ANS($median->cmp); -ANS(String($ans)->cmp); +b) Notice that the data is ordered (decreasing), so the median is the middle (or sixth) value or [$median] -ENDDOCUMENT(); # This should be the last executable line in the problem. +c) Since mean [` [$skew]`] mean, then the data set is [$dd]. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_08_DescrData/02Stats_08_DescrData.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_08_DescrData/02Stats_08_DescrData.pg index b4804f1d43..19d73efe1a 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_08_DescrData/02Stats_08_DescrData.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_08_DescrData/02Stats_08_DescrData.pg @@ -13,54 +13,116 @@ ## Problem1('') ## KEYWORDS('statistics', 'boxplot') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "answerHints.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'parserRadioButtons.pl', 'PGtikz.pl', + 'PGcourse.pl', 'answerHints.pl' ); -TEXT(beginproblem()); - -###################################### # Setup - -$n = random(6,24,1); +$n = random(6, 24); $number = 4 * $n; -@pic = ("9-213218.gif","9-312221.gif","9-613231.gif","9-511242.gif"); -$choose = random(0,3,1); - -################################################# -# Main - -BEGIN_TEXT -A boxplot for a set of $number scores is given below. -$BR -$BCENTER -\{ image($pic[$choose], height=>250, width=>350, tex_size => 600) \} -$ECENTER -$BR -How many scores are represented in the blue section of the boxplot? -$BR -Answer: \{ ans_rule(15)\} -END_TEXT - -###################################### + +$median = random(20, 40); +$Q1 = $median - random(4, 8); +$Q3 = $median + random(4, 8); +$min = $Q1 - random(3, 6); +$max = $Q3 + random(3, 6); + +# randomly determine the shading. + +$opt = random(1, 6); +if ($opt == 1) { + $scores = $n; + $shadeline = "\draw[ultra thick, blue!50] ($min, 3) -- ($Q1,3);"; + $shadebox = ""; +} elsif ($opt == 2) { + $scores = $n; + $shadeline = ""; + $shadebox = "\fill[blue!50] ($Q1,2) rectangle ($median,4);"; +} elsif ($opt == 3) { + $scores = $n; + $shadeline = ""; + $shadebox = "\fill[blue!50] ($median,2) rectangle ($Q3,4);"; +} elsif ($opt == 4) { + $scores = $n; + $shadeline = "\draw[ultra thick, blue!50] ($Q3,3) -- ($max,3);"; + $shadebox = ""; +} elsif ($opt == 5) { + $scores = 2 * $n; + $shadeline = "\draw[ultra thick, blue!50] ($min, 3) -- ($Q1,3);"; + $shadebox = "\fill[blue!50] ($Q1,2) rectangle ($median,4);"; +} elsif ($opt == 6) { + $scores = 2 * $n; + $shadeline = ""; + $shadebox = "\fill[blue!50] ($Q1,2) rectangle ($Q3,4);"; +} elsif ($opt == 7) { + $scores = 2 * $n; + $shadeline = ""; + $shadebox = "\fill[blue!50] ($Q1,2) rectangle ($Q3,4);"; +} + +($xmin, $xmax) = (5 * int($min / 5), 5 * int($max / 5 + 1)); +$xmin5 = $xmin + 5; + +$graph = createTikZImage(); +$graph->tikzOptions("xscale=0.5"); + +$graph->BEGIN_TIKZ +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] ({$xmin-4},-0.5) rectangle ({$xmax+4},6); +\draw[<->,thick] ({$xmin-3},0) rectangle ({$xmax+3},5); +\draw ({$xmin-3},1) -- ({$xmax+3},1); +\foreach \x in {$xmin,$xmin5,...,$xmax} \draw (\x,1)--(\x,0.75) node[below] {\x}; +$shadebox; +\draw ($min,3) -- ($Q1,3); +\draw ($Q1,2) rectangle($Q3,4); + +\draw ($Q3,3) -- ($max,3); +$shadeline; +$shadebox; +\draw ($median,2) -- ($median,4); +END_TIKZ + +$alttext = + "alt='Box and whiskers plot for salaries listed in thousands of " + . "dollars. The left whisker is from $min to $Q1. The box is " + . "between $Q1 and $Q3. The middle line is at $median and the " + . "right whisker runs from $Q3 to $max'"; + +BEGIN_PGML +A boxplot for a set of [$number] scores is given below. + +>>[! $alt_text !]{$graph}{600}<< + +How many scores are represented in the blue section of the boxplot? [_]{5}{15} + +*Note: the shaded whiskers are blue and thicker.* +END_PGML + # Answers $showPartialCorrectAnswers = 1; $ans = $n; #The correct answer depends on the graph chosen. -if ($choose == 3) { $ans = 2 * $n;} +if ($choose == 3) { $ans = 2 * $n; } -ANS(Real($ans)->cmp->withPostFilter(AnswerHints( - Real(25) => ["Give the number of scores not the percent."], - Real(.25) => ["Give the number of scores not the fraction of scores."], - Real(50) => ["Give the number of scores not the percent."], - Real(.50) => ["Give the number of scores not the fraction of scores."] -))); +ANS( + Real($ans)->cmp->withPostFilter(AnswerHints( + Real(25) => ["Give the number of scores not the percent."], + Real(.25) => + ["Give the number of scores not the fraction of scores."], + Real(50) => ["Give the number of scores not the percent."], + Real(.50) => + ["Give the number of scores not the fraction of scores."] + )) +); -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_09_DescrData.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_09_DescrData.pg index 9f0d7e4d0d..ba66735d02 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_09_DescrData.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_09_DescrData.pg @@ -14,90 +14,52 @@ ## Problem1('') ## KEYWORDS('statistics', 'quartile', 'Q1', 'Q2','five number summary', 'median') -DOCUMENT(); # This should be the first executable line in the problem. +# Updated 2025.04 by Peter Staab (Fitchburg State University). Converted to PGML, +# and added a solution. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -###################################### -# Setup -# NOTE: The order of the numbers should be scrambled and -# if the order were randomly selected, some problems -# could end up pretty much in order. +$a1 = Real(random(19, 25, 1)); -$a1=Real(random(19,25,1)); -$a2=$a1 + random(0,3,1); -$a3=$a2 + random(0,3,1); -$a4=$a3 + random(0,4,1); -$a5=$a4 + random(1,3,1); -$a6=$a5 + random(1,4,1); -$a7=$a6 + random(0,3,1); -$a8=$a7 + random(1,5,1); -$a9=$a8 + random(1,3,1); -$a10=$a9 + random(0,3,1); +@p = map { random($a1 - 5, $a1 + 5) } (1 .. 10); -$choose = random(1,3,2); -if ($choose == 1) { - @p = ($a10,$a9,$a6,$a5,$a4,$a3,$a2,$a7,$a1,$a8); -}else{ - if ($choose == 2) { - @p = ($a8,$a6,$a5,$a9,$a1,$a4,$a10,$a7,$a3,$a2); - }else{ - @p = ($a4,$a3,$a5,$a2,$a10,$a8,$a7,$a1,$a9,$a6); - } -} +($min, $Q1, $median, $Q3, $max) = five_point_summary(@p); -$min = $a1; -$Q1 = $a3; -$median = ($a5 + $a6) / 2; -$Q3 = $a8; -$max = $a10; +BEGIN_PGML +Find the five-number summary for the following 10 values: -################################################# -# Main +[``` [@ join(', ', @p)@] ```] -BEGIN_TEXT -Find the five-number summary for the following 10 values: +*NOTE:* Different books define the word "quartile" in different ways which can lead to somewhat different results. In this exercise we define the first quartile to be the median of the bottom half of the data set, and the third quartile to be the median of the top half. -\[$p[0],\ $p[1],\ $p[2],\ $p[3],\ $p[4],\ $p[5],\ $p[6],\ $p[7],\ $p[8],\ $p[9] \] -$BR -$BBOLD NOTE:$EBOLD Different books define the word "quartile" in different ways which can lead to somewhat different results. In this exercise we define the first quartile to be the median of the bottom half of the data set, and the third quartile to be the median of the top half. -$PAR -Find the minimum: \{ans_rule(5)\} +a) Find the minimum: [_]{$min}{5} -$PAR -Find \(Q_{1}\): \{ans_rule(5)\} +b) Find [`Q_{1}`]: [_]{$Q1}{5} -$PAR -Find the median: \{ans_rule(5)\} +c) Find the median: [_]{$median}{5} -$PAR -Find \(Q_{3}\): \{ans_rule(5)\} +d) Find [`Q_{3}`]: [_]{$Q3}{5} -$PAR -Find the maximum: \{ans_rule(5)\} -END_TEXT +e) Find the maximum: [_]{$max}{5} +END_PGML -###################################### -# Answers +BEGIN_PGML_SOLUTION +First, it is helpful to have the data sorted or -$showPartialCorrectAnswers = 1; +[``` [@ join(', ', num_sort(@p)) @] ```] -ANS($min->cmp); -ANS($Q1->cmp); -ANS($median->cmp); -ANS($Q3->cmp); -ANS($max->cmp); - -ENDDOCUMENT(); # This should be the last executable line in the problem. +a) min = [$min] +b) [`Q_1`] is the median of the first half of the data or [$Q1] +c) The median is the middle value of [$median] +d) [`Q_3`] is the median of the top half of the data or [$Q3] +e) max = [$max] +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_10_DescrData.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_10_DescrData.pg index fa685e7348..3db96eb784 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_10_DescrData.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch02DescribingData/02Stats_10_DescrData.pg @@ -14,85 +14,76 @@ ## Problem1('') ## KEYWORDS('statistics', 'skewed', 'five number summary', 'median', 'boxplot') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); + +@question = ( + 'If a distribution is skewed to the right, which of the following is true?', + 'What percent of the observations in a distribution lie between the first quartile and the third quartile?', + 'To make a boxplot of a distribution, you must know which of the following?', + 'Which of the following is least affected if an extreme high outlier is added to your data?' +); + +# For each Answer set, the correct answer is in the first slot. +@answers = ( + ['The mean is greater than the median.', + 'The mean is less than the median.', + 'The mean and median are equal.'], + ['75%','50%','25%'], + ['the five-number summary ', + 'all of the individual observations', + 'the mean and the standard deviation'], + ['the median', 'the mean','the standard deviation'] ); -TEXT(beginproblem()); - -################################################# -# Set-up - -@ThreeProblems = (0,1,2,3); #Order the problems -@scramble = NchooseK(4,3); -@order = @ThreeProblems[@scramble]; - -$mc[0] = new_multiple_choice(); - $mc[0]->qa("If a distribution is skewed to the right, ", - "the mean is greater than the median."); - $mc[0]->extra("the mean is less than the median. ", - "the mean and median are equal. "); - $mc[0]->makeLast("None of the above. "); - -$mc[1] = new_multiple_choice(); - $mc[1] ->qa("What percent of the observations in a distribution lie between the first quartile and the third quartile? ", - "50$PERCENT. "); - $mc[1]->extra("25$PERCENT. ", - "75$PERCENT. "); - $mc[1]->makeLast("None of the above. "); - -$mc[2] = new_multiple_choice(); - $mc[2] ->qa("To make a boxplot of a distribution, you must know ","the five-number summary. "); - $mc[2]->extra("all of the individual observations. ", - "the mean and the standard deviation. "); - $mc[2]->makeLast("None of the above. "); - -$mc[3] = new_multiple_choice(); - $mc[3] ->qa("Which of the following is least affected if an extreme high outlier is added to your data? ", - "The median. "); - $mc[3]->extra("The mean. ", - "The standard deviation. "); - $mc[3]->makeLast("None of the above. "); - -################################################# -# Main - -BEGIN_TEXT +@slice = random_subset(3,0..3); + +@rb = map { RadioButtons([$answers[$_],'None of the above.'],0) } @slice; + +$showPartialCorrectAnswers = 0; + +BEGIN_PGML For each problem, select the best response. -$PAR -(a) \{ $mc[$order[0]] -> print_q() \} -$BR -\{$mc[$order[0]] -> print_a() \} +a) [$question[$slice[0]]] -$PAR -(b) \{ $mc[$order[1]] -> print_q() \} -$BR -\{$mc[$order[1]] -> print_a() \} + [_]{$rb[0]} -$PAR -(c) \{ $mc[$order[2]] -> print_q() \} -$BR -\{$mc[$order[2]] -> print_a() \} -END_TEXT +b) [$question[$slice[1]]] -################################################# -# Answers + [_]{$rb[1]} -$showPartialCorrectAnswers = 0; +c) [$question[$slice[2]]] -ANS(radio_cmp($mc[$order[0]]->correct_ans)); -ANS(radio_cmp($mc[$order[1]]->correct_ans)); -ANS(radio_cmp($mc[$order[2]]->correct_ans)); + [_]{$rb[2]} -COMMENT('Questions selected randomly from a larger set. See source for full question list.'); +END_PGML + +@explanations = ( + 'The definition of skewed right is that the mean is ' . + 'greater than the median.', + 'Because the first quartile is the middle of the bottom ' . + 'half of the data and the third quartile is the middle ' . + 'of the top half, there is half of the data between these ' . + 'two values', + 'For the box plot, you need the min, max, quartiles and ' . + 'the median. This is the five-number summary', + 'An outlier can affect the mean and standard deviation. ' . + 'So the least affected (and general not affected at all) ' . + 'is the median' +); -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +a) [$explanations[$slice[0]]] +b) [$explanations[$slice[1]]] +c) [$explanations[$slice[2]]] + +END_PGML_SOLUTION + +COMMENT('Questions selected randomly from a larger set. See source for full question list.'); +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_01_ScatterCorrelation.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_01_ScatterCorrelation.pg index 371d1f96c6..51eb377841 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_01_ScatterCorrelation.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_01_ScatterCorrelation.pg @@ -12,57 +12,59 @@ ## Problem1('') ## KEYWORDS('statistic', 'correlation', 'scatterplots','Correlation', 'Coefficient') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); + +Context('Numeric'); +$showPartialCorrectAnswers = 0; + +@match1 = ( + "\(r = 1\)", + "\(r = -1\)", + "\(r = 0\)", + "\(r = .92\)", + "\(r = -.97\)", + "\(r = .1\)", + "\(r= -.15\)" ); -TEXT(beginproblem()); - -###################################### -# Setup - -#make a new match list -$ml = new_match_list(); -$ml -> qa ( - "\(r = 1\)", - "a perfect positive relationship between \(x\) and \(y\)", - "\(r = -1\)", - "a perfect negative relationship between \(x\) and \(y\)", - "\(r = 0\)", - "no relationship between \(x\) and\(y\)", - "\(r = .92\)", - "a strong positive relationship between \(x\) and \(y\)", - "\(r = -.97\)", - "a strong negative relationship between \(x\) and \(y\)", - "\(r = .1\)", - "a weak positive relationship between \(x\) and \(y\)", - "\(r= -.15\)", - "a weak negative relationship between \(x\) and \(y\)" +@match2 = ( + "a perfect positive relationship between \(x\) and \(y\)", + "a perfect negative relationship between \(x\) and \(y\)", + "no relationship between \(x\) and \(y\)", + "a strong positive relationship between \(x\) and \(y\)", + "a strong negative relationship between \(x\) and \(y\)", + "a weak positive relationship between \(x\) and \(y\)", + "a weak negative relationship between \(x\) and \(y\)" ); -$ml -> choose(4); +@slice = random_subset(4, 0 .. 6); -###################################### -# Main text +@dropdowns = map { DropDown([ ~~@match2 ], $_) } @slice; -BEGIN_TEXT -Match the following sample correlation coefficients with the explanation of what that correlation -coefficient means. Type the correct letter in each box. -$BR -\{ $ml -> print_q \} -\{$ml -> print_a \} -END_TEXT +BEGIN_PGML +Match the following sample correlation coefficients with the explanation of +what that correlation coefficient means. -###################################### -# Answers +1. [$match1[$slice[0]]]* [_]{$dropdowns[0]} -$showPartialCorrectAnswers = 0; +2. [$match1[$slice[1]]]* [_]{$dropdowns[1]} + +3. [$match1[$slice[2]]]* [_]{$dropdowns[2]} + +4. [$match1[$slice[3]]]* [_]{$dropdowns[3]} + +END_PGML + +BEGIN_PGML_SOLUTION +1. [$dropdowns[0]]* + +2. [$dropdowns[1]]* -ANS(str_cmp($ml->ra_correct_ans )) ; +3. [$dropdowns[2]]* -ENDDOCUMENT(); # This should be the last executable line in the problem. +4. [$dropdowns[3]]* +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_03_ScatterCorrelation.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_03_ScatterCorrelation.pg index 7c9236320c..4017ab57a0 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_03_ScatterCorrelation.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_03_ScatterCorrelation.pg @@ -1,4 +1,7 @@ ## DESCRIPTION +## Find the correlation coefficient of a dataset and answer a question about +## correlation. +## ENDDESCRIPTIOIN ## DBsubject(Statistics) ## DBchapter(Simple linear regression) ## DBsection(Correlation) @@ -14,111 +17,109 @@ ## Problem1('') ## KEYWORDS('statistic', 'correlation', 'scatterplots','Correlation', 'Coefficient') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGchoicemacros.pl", - "answerHints.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGstatisticsmacros.pl', 'answerHints.pl', + 'parserRadioButtons.pl', 'PGtikz.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); - -###################################### # Setup -$gen = random(0,5,1); - -@ans = ("a positive correlation between \(x\) and \(y\)", - "a perfect positive correlation between \(x\) and \(y\)", - "a negative correlation between \(x\) and \(y\)", - "a perfect negative correlation between \(x\) and \(y\)", - "no correlation between \(x\) and \(y\)", - "a nonlinear correlation between \(x\) and \(y\)", - "a positive correlation between \(x\) and \(y\)", - "a perfect positive correlation between \(x\) and \(y\)", - "a negative correlation between \(x\) and \(y\)", - "a perfect negative correlation between \(x\) and \(y\)", - "no correlation between \(x\) and \(y\)"); - -$sx = 0; -$sy = 0; -$sxy = 0; -$sx2 = 0; -$sy2 = 0; - -for($i=0;$i<15;$i++){ - $x[$i]=random($i,$i+0.9,0.1); - if ($gen==0) { - $y[$i] = $x[$i] + 2*sin(20*$x[$i]); - } - if ($gen==1) { - $y[$i] = $x[$i]; - } - if ($gen==2) { - $y[$i] = 15 - $x[$i] - 2*sin(20*$x[$i]); - } - if ($gen==3) { - $y[$i] = 15 - $x[$i]; - } - if ($gen==4) { - $y[$i] = random(0,15,0.1); - } - if ($gen==5) { - $y[$i] = 15/7.5**2*($x[$i]-7.5)**2; - } - $y[$i] = int($y[$i]*10+0.5)/10; - - $sx = $sx + $x[$i]; - $sy = $sy + $y[$i]; - $sxy = $sxy + $x[$i] * $y[$i]; - $sx2 = $sx2 + ($x[$i])**2; - $sy2 = $sy2 + ($y[$i])**2; -} +$gen = random(0, 5); -$r = (15*$sxy - $sx * $sy)/sqrt(15*$sx2 - ($sx)**2)/sqrt(15*$sy2 - ($sy)**2); +@ans = ( + "a positive correlation between \(x\) and \(y\)", + "a perfect positive correlation between \(x\) and \(y\)", + "a negative correlation between \(x\) and \(y\)", + "a perfect negative correlation between \(x\) and \(y\)", + "no correlation between \(x\) and \(y\)", + "a nonlinear correlation between \(x\) and \(y\)" +); + +for $i (0 .. 14) { + $x[$i] = random($i, $i + 0.9, 0.1); + $y[$i] = + $gen == 0 ? $x[$i] + 2 * sin(20 * $x[$i]) + : $gen == 1 ? $x[$i] + : $gen == 2 ? 15 - $x[$i] - 2 * sin(20 * $x[$i]) + : $gen == 3 ? 15 - $x[$i] + : $gen == 4 ? random(0, 15, 0.1) + : 15 / 7.5**2 * ($x[$i] - 7.5)**2; + + $y[$i] = int($y[$i] * 10 + 0.5) / 10; +} -$mc = new_multiple_choice(); -$mc -> qa('There is ',$ans[$gen]); -$mc -> extra($ans[$gen+1], $ans[$gen+2],$ans[$gen+3],$ans[$gen+4],$ans[$gen+5]); +$r = Real(sample_correlation(~~@x, ~~@y)) + ->with(tolType => 'absolute', tolerance => '0.005'); +$cmp = $r->cmp->withPostFilter(AnswerHints( + sub { + my ($correct, $student, $anshash) = @_; + return abs($student - $correct) < .02; + } => ["Close! Try the calculation using more accuracy."] +)); -###################################### -# Main text +$radio = RadioButtons(~~@ans, $gen, labels => "ABC"); -BEGIN_TEXT -Use a scatterplot and the linear correlation coefficient \( r \) to determine whether +BEGIN_PGML +Use a scatterplot and the linear correlation coefficient [` r `] to determine whether there is a correlation between the two variables. (Note: Use software, and don't forget to look at the scatterplot!) - $BR -\[ \begin{array}{c|ccccccccccccccc} -x & $x[0] & $x[1] & $x[2] & $x[3] & $x[4] & $x[5] & $x[6] & $x[7] & $x[8] & $x[9] & $x[10] & $x[11] & $x[12] & $x[13] & $x[14]\cr -y & $y[0] & $y[1] & $y[2] & $y[3] & $y[4] & $y[5] & $y[6] & $y[7] & $y[8] & $y[9] & $y[10] & $y[11] & $y[12] & $y[13] & $y[14]\cr -\end{array} \] +[# + [. [`x`] .] [. [$x[0]] .][. [$x[1]] .][. [$x[2]] .][. [$x[3]] .][. [$x[4]] .] + [. [$x[5]] .][. [$x[6]] .][. [$x[7]] .][. [$x[8]] .][. [$x[9]] .][. [$x[10]] .] + [. [$x[11]] .][. [$x[12]] .][. [$x[13]] .][. [$x[14]] .]* + [. [`y`] .] [. [$y[0]] .][. [$y[1]] .][. [$y[2]] .][. [$y[3]] .][. [$y[4]] .] + [. [$y[5]] .][. [$y[6]] .][. [$y[7]] .][. [$y[8]] .][. [$y[9]] .][. [$y[10]] .] + [. [$y[11]] .][. [$y[12]] .][. [$y[13]] .][. [$y[14]] .]* +#] -$PAR -(a) \( r= \) \{ans_rule(25)\} $BR -$PAR -(b) \{$mc->print_q()\} -\{$mc->print_a()\} -END_TEXT +a) [` r= `] [_]{$cmp} + +b) There is + + [_]{$radio} +END_PGML + +# Generate the tikz code for the points. +$str = ''; +for $i (0 .. 14) { + $str .= "\fill($x[$i],$y[$i]) circle[radius=2pt];\n"; +} + +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-1, -1) rectangle (16, 16); +\draw[->, thick] (-1, 0) -- (15.5, 0) node [above right] {\(x\)}; -###################################### -# Answers +\foreach \x in {3,6,...,15} + \draw(\x,0.25)--(\x,-0.25) node [below] {\(\x\)}; +\draw[->, thick] (0, -1) -- (0, 15.5) node [above right] {\(y\)}; +\foreach \y in {3,6,...,15} + \draw (5pt, \y) -- (-5pt, \y) node[left] {\(\y\)}; -$showPartialCorrectAnswers = 1; +$str -$ans = Compute($r)->with(tolType=>'absolute', tolerance=>'0.005'); -ANS($ans->cmp->withPostFilter(AnswerHints( - sub { - my ($correct,$student,$anshash) = @_; - return abs($student-$correct) < .02; - } => ["Close! Try the calculation using more accuracy."]))); +END_TIKZ -ANS(radio_cmp($mc->correct_ans)); +$alt_text = "A scatter plot of the data shown above."; -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +First, the scatter plot of the data is +>>[! [$alt_text] !]{$graph}{400}<< +And using some software, determine that [`r=[$r]`]. Therefore the correct response for b) is [$radio]. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_05_ScatterCorrelation.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_05_ScatterCorrelation.pg index cc92e8c7cf..b5575e0719 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_05_ScatterCorrelation.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_05_ScatterCorrelation.pg @@ -13,95 +13,86 @@ ## Problem1('') ## KEYWORDS('statistic', 'correlation') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "answerHints.pl", - "PGchoicemacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGstatisticsmacros.pl', 'answerHints.pl', + 'parserPopUp.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); +Context('Numeric'); -###################################### -# Setup - -@x = (random(50,100,25),random(50,100,25),random(75,150,25),random(150,300,50),random(200,300,50),random(300,600,100),random(600,900,100),random(1000,1400,100),random(1400,1800,100),random(2000,4000,100),random(2000,4000,100)); - -@y = (random(5,8,.1),random(7,7.5,.1),random(10,15,.1),random(20,30,.1),random(40,50,.1),random(90,100,.1),random(130,150,.1),random(180,200,.1),random(200,240,.1),random(220,240,.1)); +$showPartialCorrectAnswers = 0; -for($i=0;$i<10;$i++) { -$sum_x += $x[$i]; -$sum_y += $y[$i]; -} +# Setup -$mean_x = $sum_x/10; -$mean_y = $sum_y/10; +@x = ( + random(50, 100, 25), + random(50, 100, 25), + random(75, 150, 25), + random(150, 300, 50), + random(200, 300, 50), + random(300, 600, 100), + random(600, 900, 100), + random(1000, 1400, 100), + random(1400, 1800, 100), + random(2000, 4000, 100) +); -for ($i=0; $i<10; $i++) { -$sx_squared += ($x[$i] - $mean_x)*($x[$i] - $mean_x);} +@y = ( + random(5, 8, .1), + random(7, 7.5, .1), + random(10, 15, .1), + random(20, 30, .1), + random(40, 50, .1), + random(90, 100, .1), + random(130, 150, .1), + random(180, 200, .1), + random(200, 240, .1), + random(220, 240, .1) +); -$sx = sqrt($sx_squared/9); +$r = Compute(sample_correlation(~~@x, ~~@y)) + ->with(tolType => 'absolute', tolerance => '0.005'); +$cmp = $r->cmp->withPostFilter(AnswerHints( + sub { + my ($correct, $student, $anshash) = @_; + return abs($student - $correct) < .02; + } => ["Close! Try the calculation using more accuracy."] +)); -for ($i=0; $i<10; $i++) { -$sy_squared += ($y[$i] - $mean_y)*($y[$i] - $mean_y);} +$redo = DropDown([ 'Yes', 'No' ], $r > 0.997 ? 1 : 0); -$sy = sqrt($sy_squared/9); +BEGIN_PGML +Keeping water supplies clean requires regular measurement of levels of pollutants. The measurements are indirect- a typical analysis involves forming a dye by a chemical reaction with the dissolved pollutant, then passing light through the solution and measuring its _absorbence_. To calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbence and pollutant concentration. This is usually done every day. Here is one series of data on the absorbence for different levels of nitrates. Nitrates are measured in milligrams per liter of water. -for ($i=0; $i<10; $i++) { -$sum_r += (($x[$i] - $mean_x)/$sx)*(($y[$i] - $mean_y)/$sy);} +[# + [. **Nitrates**.] [. [$x[0]] .][. [$x[1]] .][. [$x[2]] .][. [$x[3]] .] + [. [$x[4]] .][. [$x[5]] .][. [$x[6]] .][. [$x[7]] .][. [$x[8]] .][. [$x[9]] .]* + [. **Absorbance**.] [. [$y[0]] .][. [$y[1]] .][. [$y[2]] .][. [$y[3]] .] + [. [$y[4]] .][. [$y[5]] .][. [$y[6]] .][. [$y[7]] .][. [$y[8]] .][. [$y[9]] .]* +#]{horizontalrules=>1,align=>'|c|c|c|c|c|c|c|c|c|c|c|'} -$r = $sum_r/9; +Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong and the calibration procedure is repeated. -$b1 = $r*($sy/$sx); -$a = $mean_y - ($b1*$mean_x); -$b1 = .1*int(10*($b1+0.05)); -$a = .1*int(10*($a+0.05)); -$r = .001*int(1000*($r+0.0005)); +a) Find the correlation [` r `]. -###################################### -# Main text + [` r `] = [_]{$cmp} -BEGIN_TEXT -$BR -Keeping water supplies clean requires regular measurement of levels of pollutants. The measurements are indirect- a typical analysis involves forming a dye by a chemical reaction with the dissolved pollutant, then passing light through the solution and measuring its $RQ absorbence.$RQ To calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbence and pollutant concentration. This is usually done every day. Here is one series of data on the absorbence for different levels of nitrates. Nitrates are measured in milligrams per liter of water. -$PAR -$BCENTER -\{begintable(11)\} -\{row('$BBOLD Nitrates $EBOLD $SPACE ',$x[0],$x[1],$x[2],$x[3],$x[4],$x[5],$x[6],$x[7],$x[8],$x[9])\} -\{row('$BBOLD Absorbance $EBOLD $SPACE ',$y[0],$y[1],$y[2],$y[3],$y[4],$y[5],$y[6],$y[7],$y[8],$y[9])\} -\{endtable()\} -$ECENTER -$PAR -Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong and the calibration procedure is repeated. -$PAR -(a) Find the correlation \( r \). -$BR -$SPACE $SPACE \( r \) = $SPACE \{ans_rule(8)\} -$PAR -(b) Must the calibration be done again? (Answer YES or NO). -$BR -$SPACE $SPACE ANSWER: $SPACE \{ans_rule(8)\} -END_TEXT - -###################################### -# Answers +b) Must the calibration be done again? [_]{$redo} -$showPartialCorrectAnswers = 0; +END_PGML -Context()->strings->add("yes"=>{},"no"=>{}); +$soln = + $r > 0.997 + ? 'Since \(r\) is greater than 0.997, there is no need to redo the calibration. ' + : 'Since \( r\) is less than 0.997, the calibration needs to be done again.'; -$ans_a = Compute($r)->with(tolType=>'absolute', tolerance=>'0.005'); -ANS($ans_a->cmp->withPostFilter(AnswerHints( - sub { - my ($correct,$student,$anshash) = @_; - return abs($student-$correct) < .02; - } => ["Close! Try the calculation using more accuracy."]))); +BEGIN_PGML_SOLUTION +a) Use some software to determine the correlation coefficient. In this case, [`r=[$r]`]. -$ans_b = String("yes"); -if ($r>=0.997){$ans_b = String("no");} -ANS($ans_b->cmp); +b) [$soln]* +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_07_ScatterCorrelation.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_07_ScatterCorrelation.pg index 2ddfb7337e..df0d854f1c 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_07_ScatterCorrelation.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch04ScatterplotsAndCorrelation/04Stats_07_ScatterCorrelation.pg @@ -11,88 +11,75 @@ ## Problem1('') ## KEYWORDS('statistic', 'correlation') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); - -###################################### -# Setup - -@ThreeProblems = (0,1,2,3); #Order the problems -@scramble = NchooseK(4,3); -@order = @ThreeProblems[@scramble]; - -$mc[0] = new_multiple_choice(); - $mc[0]->qa("You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. When you make a scatterplot, the explanatory variable on the $BITALIC x $EITALIC -axis ", - "is the price of oil. "); - $mc[0]->extra("is the price of gasoline. ", - "can be either oil price or gasoline price. "); - - $mc[0]->makeLast("None of the above. "); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -$mc[1] = new_multiple_choice(); - $mc[1] ->qa("In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gasoline, you expect to see ", - "a positive association. "); - $mc[1]->extra("very little association. ", - "a negative association. "); - - $mc[1]->makeLast("None of the above. "); +$showPartialCorrectAnswers = 0; -$mc[2] = new_multiple_choice(); - $mc[2] ->qa("What are all the values that a correlation $BITALIC r$EITALIC can possibly take? ", - "-1 \(\le\) $BITALIC r $EITALIC \(\le\) 1 "); - $mc[2]->extra("$BITALIC r $EITALIC \(\ge\) 0 ", - "0 \(\le\) $BITALIC r $EITALIC \(\le\) 1 "); +Context('Numeric'); - $mc[2]->makeLast("None of the above. "); +@questions = ( + "You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. When you make a scatterplot, the explanatory variable on the \(x\)-axis", + "In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gasoline, you expect to see ", + "What are all the values that a correlation \(r\) can possibly take?", + "If the correlation between two variables is close to 0, you can conclude that a scatterplot would show" +); -$mc[3] = new_multiple_choice(); - $mc[3] ->qa("If the correlation between two variables is close to 0, you can conclude that a scatterplot would show ", - "no straight-line pattern, but there might be a strong pattern of another form. "); - $mc[3]->extra("a strong straight-line pattern. ", - "a cloud of points with no visible pattern. "); +# Put the correct answer in the first slot +@ans_opts = ( + [ + "is the price of oil.", + "is the price of gasoline.", + "can be either oil price or gasoline price. " + ], + [ + "a positive association. ", + "very little association. ", + "a negative association. " + ], + [ + "\(-1 \leq r \leq 1 \)", + "\(r> 0 \)", + "\(0 \leq r \leq 1\)" + ], + [ + "no straight-line pattern, but there might be a strong pattern of another form. ", + "a strong straight-line pattern. ", + "a cloud of points with no visible pattern. " + ] +); - $mc[3]->makeLast("None of the above. "); +@slice = random_subset(3, 0 .. 3); -################################################# -# Main +@radios = + map { + RadioButtons([ $ans_opts[$_], 'None of the above' ], 0, labels => "ABC") + } @slice; -BEGIN_TEXT +BEGIN_PGML For each problem, select the best response. -$PAR -(a) \{ $mc[$order[0]] -> print_q() \} -$BR -\{$mc[$order[0]] -> print_a() \} +a) [$questions[$slice[0]]]* -$PAR -(b) \{ $mc[$order[1]] -> print_q() \} -$BR -\{$mc[$order[1]] -> print_a() \} + [_]{$radios[0]} -$PAR -(c) \{ $mc[$order[2]] -> print_q() \} -$BR -\{$mc[$order[2]] -> print_a() \} -END_TEXT +b) [$questions[$slice[1]]]* -################################################# -# Answers + [_]{$radios[1]} -$showPartialCorrectAnswers = 0; +c) [$questions[$slice[2]]]* -ANS(radio_cmp($mc[$order[0]]->correct_ans)); -ANS(radio_cmp($mc[$order[1]]->correct_ans)); -ANS(radio_cmp($mc[$order[2]]->correct_ans)); + [_]{$radios[2]} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +BEGIN_PGML_SOLUTION +a) [$radios[0]] +b) [$radios[1]] +c) [$radios[2]] +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_06_Regression.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_06_Regression.pg index a7e6728394..6dceb9fa81 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_06_Regression.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_06_Regression.pg @@ -30,7 +30,6 @@ for $i (0 .. 7) { $y[$i] = random(30, 50, 1); } -@rows = ([ 'Team', 'Batting Average', 'Games Won' ]); push(@rows, [ $_, $x[$_], $y[$_] ]) for (0 .. 7); $r = sample_correlation(~~@x, ~~@y); @@ -50,8 +49,9 @@ BEGIN_PGML Is the number of games won by a softball team in a season related to the team batting average? The table below shows the batting average (in thousandths) and the number of games won of 8 teams. -[@ DataTable(\@rows, - padding => [0.25, 0.25], horizontalrules => 1, align => '|c|c|c|' ) @]* +[# [. Team .] [. Batting Average .] [. Games Won .]*{headerrow => 1} + [. .]{rows => ~~@rows} +#] Using batting average as the explanatory variable [`x`], and games won as the response variable [`y`], do the following: @@ -59,7 +59,7 @@ a) Find the correlation coefficient [`r = `][_____]{$ans_a} b) Find the equation of the least squares line [`\hat{y} = `][___]{$ans_b} -What do you think? In this case was a higher batting average associated with winning more games, or were other things involved? +What do you think? In this case was a higher batting average associated with winning more games, or were other things involved? END_PGML diff --git a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_08_Regression.pg b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_08_Regression.pg index 180090809a..814469e153 100644 --- a/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_08_Regression.pg +++ b/OpenProblemLibrary/CollegeOfIdaho/setStatistics_Ch05Regression/05Stats_08_Regression.pg @@ -13,89 +13,90 @@ ## Problem1('') ## KEYWORDS('statistic', 'regression','correlation') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "answerHints.pl", - "PGchoicemacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'answerHints.pl', 'PGstatisticsmacros.pl', + 'contextPercent.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); - -################################################# -# Set-up +Context('Percent')->flags(tolType => 'absolute', tolerance => '0.05'); #Keep the values "nice". -@possible_x=(1, 1, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8); -@possible_y=(9, 10, 9, 8, 8, 7, 7, 6, 5, 6, 4, 4, 3, 3, 2); - -@slice = NchooseK(15,7); -@x=@possible_x[@slice]; -@y=@possible_y[@slice]; - -$sx = 0; -$sy = 0; -$sxy = 0; -$sx2 = 0; -$sy2 = 0; -for($i=0; $i<7; $i++) { - $sx = $sx + $x[$i]; - $sy = $sy + $y[$i]; - $sxy = $sxy + ($x[$i]*$y[$i]); - $sx2 = $sx2 + ($x[$i]**2); - $sy2 = $sy2 + ($y[$i]**2); -} +@possible_x = (1, 1, 2, 2, 3, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8); +@possible_y = (9, 10, 9, 8, 8, 7, 7, 6, 5, 6, 4, 4, 3, 3, 2); + +@slice = random_subset(7, 0 .. 14); +@x = @possible_x[@slice]; +@y = @possible_y[@slice]; + +$r = sample_correlation(~~@x, ~~@y); -$ssxy = $sxy-(($sx*$sy)/7); -$ssx = $sx2-(($sx**2)/7); -$ssy = $sy2-(($sy**2)/7); +$r_sq = $r**2; -$r = $ssxy/sqrt($ssx*$ssy); -$r_sq = 100 * $r ** 2; +$hint = AnswerHints( + sub { + my ($correct, $student, $anshash) = @_; + return abs($student - $correct) < .01; + } => ["Your answer is close. Try the calculation using more accuracy."] +); + +$ans1 = Percent($r_sq)->cmp->withPostFilter($hint); -################################################# -# Main +Context('Numeric')->flags(tolType => 'absolute', tolerance => '0.05'); +$ans2 = Real($r)->cmp->withPostFilter($hint); -BEGIN_TEXT -Given the following data set, let \( x \) be the explanatory variable and \( y \) be the +BEGIN_PGML +Given the following data set, let [` x `] be the explanatory variable and [` y `] be the response variable. -\{begintable(8)\} -\{row("\( x \)", "$x[0]", "$x[1]", "$x[2]", "$x[3]", "$x[4]", "$x[5]", "$x[6]")\} -\{row("\(y\)", "$y[0]", " $y[1] ", "$y[2]", "$y[3]", "$y[4]", "$y[5]", "$y[6]")\} -\{endtable()\} +[# [. [`x`] .] + [.[$x[0]].][.[$x[1]].][.[$x[2]].][.[$x[3]].][.[$x[4]].][.[$x[5]].][.[$x[6]].]* + [. [`y`] .] + [.[$y[0]].][.[$y[1]].][.[$y[2]].][.[$y[3]].][.[$y[4]].][.[$y[5]].][.[$y[6]].]* + #]*{horizontalrules => 1, align => '|c|c|c|c|c|c|c|c|', padding => [0.25, 0.25]} -$PAR -(a) If a least squares line was fitted to this data, what percentage of the variation in the \( y \) -would be explained by the regression line? (Enter your answer as a percent.) $BR -ANSWER: \{ans_rule(15)\} $PERCENT +a) If a least squares line was fitted to this data, what percentage of the variation in the [` y `] would be explained by the regression line? (Enter your answer as a percent.) -$PAR -(b) Compute the correlation coefficient: \(r = \) \{ans_rule(15)\} -END_TEXT + ANSWER: [_]{$ans1} -################################################# -# Answers +b) Compute the correlation coefficient: [`r = `] [_]{$ans2} +END_PGML + +($sumx, $sumy, $sumxy, $sumxsq, $sumyssq) = (0, 0, 0, 0, 0); +for $i (0 .. 6) { + $sumx += $x[$i]; + $sumy += $y[$i]; + $sumxy += $x[$i] * $y[$i]; + $sumxsq += $x[$i]**2; + $sumysq += $y[$i]**2; + $data->[$i] = [ '', $x[$i], $y[$i], $x[$i] * $y[$i], $x[$i]**2, $y[$i]**2 ]; +} -$showPartialCorrectAnswers = 1; +Context('Percent'); +BEGIN_PGML_SOLUTION +This dataset is small enough to do by hand with a table. Create the following table with -$ans_a = Real($r_sq)->with(tolType=>'absolute', tolerance=>'0.05'); - ANS($ans_a->cmp->withPostFilter(AnswerHints( - sub { - my ($correct,$student,$anshash) = @_; - return abs($student-$correct) < .1; - } => ["Your answer is close. Try the calculation using more accuracy."]))); +[# [. .][.[`x`].][.[`y`].][. [`xy`] .] [.[`x^2`].] [. [`y^2`] .]*{headerrow => 1} + [. .]*{rows => $data} + [. .]*{rowbottom => 1} + [. Sum .] [. [$sumx] .] [.[$sumy].][.[$sumxy].] [.[$sumxsq].] [.[$sumysq].] +#] -$ans_b = Compute($r)->with(tolType=>'absolute', tolerance=>'0.005'); - ANS($ans_b->cmp->withPostFilter(AnswerHints( - sub { - my ($correct,$student,$anshash) = @_; - return abs($student-$correct) < .01; - } => ["Your answer is close. Try the calculation using more accuracy."]))); +We do b. first. Using the formula for correlation (there are a number of equivalent formulas.) -ENDDOCUMENT(); # This should be the last executable line in the problem. +[``` +\begin{aligned} +r & = \frac{ n \sum x_i y_i - \sum x_i \sum y_i} +{\sqrt{n \sum x_i^2 - (\sum x_i)^2}\sqrt{n \sum y_i^2 - (\sum y_i)^2}} \\ +& = \frac{8 ([$sumxy]) - ([$sumx])([$sumy])} +{\sqrt{8 ([$sumxsq]) - ([$sumx])^2}\sqrt{8 ([$sumysq]) - ([$sumy])^2}} = +[$r] +\end{aligned} +```] +And then a. we calculate [`r^2=[$r]^2 = [$r_sq] `]. This means that the percent explained by the linear relationship is [@ Percent($r_sq) @]. +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-18c-.pg b/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-18c-.pg index 72a86505bc..65c1a2b018 100644 --- a/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-18c-.pg +++ b/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-18c-.pg @@ -2,7 +2,6 @@ ## Functions: Input and Output ## ENDDESCRIPTION - ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Applications and models - general) @@ -24,52 +23,33 @@ ## Problem2('18') ## KEYWORDS('exponential functions','growth rate','growth factor') -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -################################## # Setup -Context("Numeric"); -Context()->variables->are(n=>"Real"); +Context("Numeric")->variables->are(n => "Real"); -$a = random(100,200,5); -$q = random(2,5,1); -$b = 1 - 1/$q; +$a = random(100, 200, 5); +$q = random(2, 5, 1); +$b = 1 - 1 / $q; $f = Formula("$a * ($b)**n"); - -##################################### # Main text -Context()->texStrings; -BEGIN_TEXT -The area covered by a marsh, \(A\), starts at \($a\) -acres and drops by a factor of \(\dfrac{1}{$q}\) -each year for \(n\) years. Write a formula for -\(A = f(n)\). -$BR -$BR -\( A = f(n)=\)\{ ans_rule(20) \} -\{ AnswerFormatHelp("formula") \} -END_TEXT -Context()->normalStrings; - - -#################################### -# Answer evaluation +BEGIN_PGML +The area covered by a marsh, [`A`], starts at [`[$a]`] +acres and drops by a factor of [`\dfrac{1}{[$q]}`] +each year for [`n`] years. Write a formula for the area after [`n`] years. + +[` A = f(n)=`][_]{$f} -$showPartialCorrectAnswers = 1; +END_PGML -ANS($f->cmp() ); +BEGIN_PGML_SOLUTION +This is a exponential model and since the area decreases, [`r=1/[$q]`] and this results in the exponential model +[```A = f(n) = [$f]```] +END_PGML_SOLUTION -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-26-.pg b/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-26-.pg index 41f467adde..3841c69659 100644 --- a/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-26-.pg +++ b/OpenProblemLibrary/FortLewis/Algebra/10-1-Exponential-Functions/MCH1-10-26-.pg @@ -2,7 +2,6 @@ ## Functions: Input and Output ## ENDDESCRIPTION - ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Applications and models - population growth) @@ -18,67 +17,43 @@ ## Problem1('27') ## KEYWORDS('exponential functions','growth rate','growth factor') -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -################################## # Setup -Context("Numeric"); -Context()->variables->are(t=>"Real"); +Context("Numeric")->variables->are(t => "Real"); +Context()->flags->set(tolerance => 0.01, tolType => "absolute"); $a = 2200000; $b = 1.0211; $f = Formula("$a * ($b)**t"); +$t = random(3, 17, 2); +$y = 2005 + $t; +$p = int($f->eval(t => $t)); -Context()->flags->set( tolerance => 0.01, tolType => "absolute"); - -$t = random(3,7,2); -$y=2005+$t; -$p = $f->eval(t=>$t)->reduce; - - -##################################### # Main text -Context()->texStrings; -BEGIN_TEXT - -In 2005, Bhutan had a population of about \(2200000\) and an annual growth factor of \(1.0211\). Let \( f(t)\) be the population \( t \) years after 2005 assuming growth continues at this rate. -$BR -(a) Write a formula for \(f(t)\). -$BR -\( P = f(t) = \)\{ ans_rule(20) \} -\{ AnswerFormatHelp("formula") \} -$BR -$BR -(b) According to your formula, what will the population of Bhutan be in \( $y \)? -$BR -\{ ans_rule(20) \} -\{ AnswerFormatHelp("number") \} +BEGIN_PGML -END_TEXT -Context()->normalStrings; +In 2005, Bhutan had a population of about [`2200000`] and an annual growth factor of [`1.0211`]. Let [` f(t)`] be the population [` t `] years after 2005 assuming growth continues at this rate. + +a) Write a formula for [`f(t)`]. + [` P(t) = `][_]{$f} -#################################### -# Answer evaluation +b) According to your formula, what will the population of Bhutan be in [` [$y] `]? [_]{$p} -$showPartialCorrectAnswers = 1; -ANS($f->cmp() ); -ANS($p->cmp(tol=>0.) ); +END_PGML +BEGIN_PGML_SOLUTION +a) Since there is an annual growth factor, this assumes that the population model is exponential with form: +[``` P(t) = [$a] ([$b])^t ```] +b) Using this model, we substitute [`t=[$r]`], the number of years since 2005. The result is [`[$p]`] +END_PGML_SOLUTION -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/FortLewis/Algebra/11-2-Solving-with-Logs/MCH-11-2-56.pg b/OpenProblemLibrary/FortLewis/Algebra/11-2-Solving-with-Logs/MCH-11-2-56.pg index 1a6b1399ed..26916782b9 100644 --- a/OpenProblemLibrary/FortLewis/Algebra/11-2-Solving-with-Logs/MCH-11-2-56.pg +++ b/OpenProblemLibrary/FortLewis/Algebra/11-2-Solving-with-Logs/MCH-11-2-56.pg @@ -2,7 +2,6 @@ ## Functions: Input and Output ## ENDDESCRIPTION - ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Applications and models - general) @@ -18,53 +17,42 @@ ## Problem1('56') ## KEYWORDS('exponential functions','growth rate','growth factor') -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -################################## # Setup Context("Numeric"); -Context()->variables->are(t=>"Real"); -Context()->flags->set(useBaseTenLog=>1); -Context()->flags->set( tolerance => 0.01, tolType => "absolute"); - -$Q = 30; -$root = random(10,15,1); -$b = 2**(-1/$root); -$a = random(85,100,1); -$ans = Compute("(log($Q)-log($a))/log($b)"); - - - -##################################### -# Main text - -Context()->texStrings; -BEGIN_TEXT -A travel mug of \($a^{\circ}\)C coffee is left on the roof of a parked car on a cold winter day. The temperature of the coffee after \(t\) minutes is given by \( H = $a(2)^{-t/$root} \). After how many minutes will the coffee be only lukewarm (\(30^{\circ}\)C)? -$BR -$BR -\(t = \) \{ ans_rule(20)\} -\{ AnswerFormatHelp("numbers") \} -END_TEXT -Context()->normalStrings; - - -#################################### -# Answer evaluation - -$showPartialCorrectAnswers = 1; - -ANS( $ans->cmp() ); +Context()->variables->are(t => "Real"); +Context()->flags->set(useBaseTenLog => 1); +Context()->flags->set(tolerance => 0.01, tolType => "absolute"); + +$Q = 30; +$root = random(10, 15, 1); +$b = 2**(-1 / $root); +$a = random(85, 100, 1); +$ans = Compute("(log($Q)-log($a))/log($b)"); + +BEGIN_PGML +A travel mug of [`[$a]^{\circ}`]C coffee is left on the roof of a parked car on a cold winter day. The temperature of the coffee after [`t`] minutes is given by +[``` H = [$a](2)^{-t/[$root]}. ```] + +After how many minutes will the coffee be only lukewarm ([`30^{\circ}`]C)? [`t = `] [_]{$ans} + +END_PGML + +BEGIN_PGML_SOLUTION +In this case, we need to solve the equation: +[```30 = [$a] (2)^{-t/[$root]}```] +divide through by [`[$a]`] +[```\frac{30}{[$a]} = 2^{-t/[$root]}```] +write this in log form: +[``` -\frac{t}{[$root]} = \frac{\log(30/[$a])}{\log(2)}```] +multiply through by [`-[$root]`] +[``` t = - [$root] \frac{\log(30/[$a])}{\log(2)} = [$ans]```] + +END_PGML_SOLUTION COMMENT('Uses log = log10.'); diff --git a/OpenProblemLibrary/FortLewis/Algebra/5-1-Linear-functions/MCH1-5-1-38-Linear-functions.pg b/OpenProblemLibrary/FortLewis/Algebra/5-1-Linear-functions/MCH1-5-1-38-Linear-functions.pg index c412381fc5..9d707d9299 100644 --- a/OpenProblemLibrary/FortLewis/Algebra/5-1-Linear-functions/MCH1-5-1-38-Linear-functions.pg +++ b/OpenProblemLibrary/FortLewis/Algebra/5-1-Linear-functions/MCH1-5-1-38-Linear-functions.pg @@ -2,7 +2,6 @@ ## Linear functions ## ENDDESCRIPTION - ## BookTitle('Algebra: Form and Function') ## BookChapter('Linear functions, expressions, and equations') ## DBsubject(Algebra) @@ -21,52 +20,31 @@ ## Problem1('38') ## KEYWORDS('linear functions') +DOCUMENT(); -############################################## -# Initialization - -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); - -$showPartialCorrectAnswers = 1; +Context("Numeric"); -############################################## -# Setup +$m = random(3, 15, 1); +$b = random(200, 300, 1); -Context("Numeric"); +BEGIN_PGML +Give the slope and [`y`]-intercept +for the graph of the function [` f(x) = [$b] - [$m] x `]. -$m = random(3,15,1); -$b = random(200,300,1); +a) The slope is [_]{Real($m)} -############################################## -# Main text +b) The [`y`]-intercept is [_]{$b} -Context()->texStrings; -BEGIN_TEXT -Give the slope and \(y\)-intercept -for the graph of the function \( f(x) = $b - $m x \). -$BR -$BR -The slope is \{ ans_rule(20) \} -\{ AnswerFormatHelp("numbers") \} -$BR -The \(y\)-intercept is \{ ans_rule(20) \} -\{ AnswerFormatHelp("numbers") \} -END_TEXT -Context()->normalStrings; +END_PGML -ANS(Real("-($m)")->cmp(tolerance=>"0.001",tolType=>"absolute") ); -ANS(Real("$b")->cmp(tolerance=>"0.001",tolType=>"absolute") ); +BEGIN_PGML_SOLUTION +In this case, identify that the coefficient of the [`x`] term is the slope and the constant term is the [`y`]-intercept +a) [`m=[$m]`] -; +b) [`b=[$b]`] +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/FortLewis/Algebra/5-4-Equations-for-lines/MCH1-5-4-02-Equations-for-lines.pg b/OpenProblemLibrary/FortLewis/Algebra/5-4-Equations-for-lines/MCH1-5-4-02-Equations-for-lines.pg index 3f19652a4c..f87bc0ce6a 100644 --- a/OpenProblemLibrary/FortLewis/Algebra/5-4-Equations-for-lines/MCH1-5-4-02-Equations-for-lines.pg +++ b/OpenProblemLibrary/FortLewis/Algebra/5-4-Equations-for-lines/MCH1-5-4-02-Equations-for-lines.pg @@ -2,7 +2,6 @@ ## Equations for lines in the plane ## ENDDESCRIPTION - ## BookTitle('Algebra: Form and Function') ## BookChapter('Linear functions, expressions, and equations') ## DBsubject(Algebra) @@ -20,56 +19,47 @@ ## Problem1('2') ## KEYWORDS('linear equations') -############################################## -# Initialization - -DOCUMENT(); +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "contextLimitedPolynomial.pl", - "parserAssignment.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'contextFraction.pl', 'contextLimitedPolynomial.pl', + 'parserAssignment.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); - -$showPartialCorrectAnswers = 1; +Context('Fraction'); -############################################## -# Setup +$a = random(50, 100, 10); +do { $b = random(50, 100, 10); } until ($a != $b); +$c = random(100, 500, 50); +$m = Compute("-$a/$b"); +$yint = Compute("$c/$b"); -Context("LimitedPolynomial-Strict")->variables->add(y=>"Real"); +Context("LimitedPolynomial-Strict")->variables->add(y => "Real"); parser::Assignment->Allow; +$line = Formula("y = $yint + $m * x"); -$a = random(50,100,10); -$b = random(50,100,10); -while ($a == $b) { $b = random(50,100,10); } -$c = random(100,500,50); - -$answer = Formula("y = ($c / $b) - ($a / $b) * x"); - - -############################################## -# Main text +BEGIN_PGML +Write the linear equation [` [$a] x + [$b] y = [$c] `] in slope-intercept form [` y = m x + b `]. Enter your answer as an equation in slope-intercept form. -Context()->texStrings; -BEGIN_TEXT -Write the linear equation \( $a x + $b y = $c \) -in slope-intercept form \( y = m x + b \). Enter -your answer as an equation in slope-intercept form. -$BR -$BR -\{ ans_rule(20) \} -\{ AnswerFormatHelp("equations") \} -END_TEXT -Context()->normalStrings; +[_]{$line} -ANS($answer->cmp() ); +[@ helpLink('equations') @]* +END_PGML +BEGIN_PGML_SOLUTION +In this case, solve the equation for [`y`]. -; +[``` +\begin{aligned} +[$a] x + [$b] y & = [$c] \\ +& \qquad \qquad \text{subtract \([$a] x\)} \\ +[$b] y & = -[$a]x + [$c] \\ +& \qquad \qquad \text{divide by [$b]} \\ +y & = -\frac{[$a]}{[$b]}x + \frac{[$c]}{[$b]} \\ +y & = [$m] x + [$yint] +\end{aligned} +```] +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-16.pg b/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-16.pg index fee61a8648..39999688fb 100644 --- a/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-16.pg +++ b/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-16.pg @@ -5,60 +5,39 @@ ## MO(1) DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); - -############################################## # Setup -Context("Numeric"); +Context("LimitedNumeric"); #Context("Fraction-NoDecimals"); $a = random(2,4,2); $b = random(7,9,2); $bma = $b - $a; -$answer = Real("$b"); - -Context()->operators->undefine("+","-","*","/","**","^"); -Context()->functions->disable("All"); +BEGIN_PGML -############################################## -# Main text +Solve [``` +x - \frac{[$a]}{[$b]} x = [$bma] +```] -Context()->texStrings; -BEGIN_TEXT +[` x = `] [_]{Real("$b")} -Solve \( \displaystyle x - \frac{$a}{$b} x = $bma \). -$BR -$BR -\( x = \) -\{ ans_rule(20) \} -$BR -$BR -$HR -Note: Your answer should be completely simplified. +*Note:* Your answer should be completely simplified. Unsimplified answers will not be accepted. - - -END_TEXT -Context()->normalStrings; - -################################################## -# Answer evaluation - -install_problem_grader(~~&std_problem_grader); - -$showPartialCorrectAnswers = 0; - -ANS($answer->cmp()); - - -; -ENDDOCUMENT(); +END_PGML + +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +x - \frac{[$a]}{[$b]} x & = [$bma] \qquad \qquad \text{Multiply by [$b]} \\ +[$b] x - [$a] x & = [@ $b*$bma @] \\ +[$bma] x & = [@ $b*$bma @] \\ +x & = [$b] +\end{aligned} +```] +END_PGML_SOLUTION + +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-25.pg b/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-25.pg index 7aebd27f8c..ad1a2c66aa 100644 --- a/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-25.pg +++ b/OpenProblemLibrary/FortLewis/Basic-skills-pretest/Skill-Assessment-25.pg @@ -5,61 +5,38 @@ ## MO(1) DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "parserMultiAnswer.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); - -############################################## -# Setup - -Context("Numeric"); -#Context()->variables->add(y=>"Real"); -#Context("Fraction-NoDecimals"); +Context("LimitedNumeric"); $a = list_random(5,7); $b = random(2,3,1); $c = random(15,25,5); -$answer = Real("$b * $c + $a"); +$x = Real($b * $c + $a); -Context()->operators->undefine("+","-","*","/","**","^"); -Context()->functions->disable("All"); -############################################## -# Main text +BEGIN_PGML -Context()->texStrings; -BEGIN_TEXT +Solve: [``` \frac{x - [$a]}{[$b]} = [$c]. ```] -Solve: \( \displaystyle \frac{x - $a}{$b} = $c. \) -$BR -$BR -\( x = \) -\{ans_rule(10)\} +[` x = `] [_]{$x} + +--- -$BR -$BR -$HR Note: Your answer should be completely simplified. Unsimplified answers will not be accepted. -END_TEXT -Context()->normalStrings; - -################################################## -# Answer evaluation - -install_problem_grader(~~&std_problem_grader); - -$showPartialCorrectAnswers = 0; - -ANS($answer->cmp() ); +END_PGML +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +\frac{x - [$a]}{[$b]} &= [$c], \qquad \qquad \text{Multiply by [$b]} \\ +x-[$a] & = [@ $b * $c @] \\ +x & = [@ $b*$c @] + [$a] = [$x] +\end{aligned} +```] +END_PGML_SOLUTION -; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/GRPS/cups2.pg b/OpenProblemLibrary/GRPS/cups2.pg index 2da812578a..6790113426 100644 --- a/OpenProblemLibrary/GRPS/cups2.pg +++ b/OpenProblemLibrary/GRPS/cups2.pg @@ -7,44 +7,58 @@ ## KEYWORDS('measure') ## RESOURCES('cup.jpg') -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT(&beginproblem); -$showPartialCorrectAnswers = 1; - -#define the variables -$a=random(5,11,1); -$b=random(1,3,0.5); -$c=random(150,200,5); -$hc1=$a+$b; -$hc2=$a+2*$b; -$hc3=$a+3*$b; -$xans = ($c - $a)/$b; -$xanst=int($xans); - -if(($xanst - $xans) < 0){ $xanst=$xanst+1}; - -BEGIN_TEXT -\{image("cup.jpg")\} $BR -Stackable polystyrene cups have a height -\( h_{1} = $hc1 \) cm. $BR $BR -Two stacked cups have a height of \( h_{2} = $hc2 \) cm.$BR -Three stacked cups have a height of \( h_{3} = $hc3 \) cm.$BR -Find the equation for \( h_{x} = \)\{ans_rule(10) \}\( x + \)\{ans_rule(10) \}$BR $BR -Your friend is \( $c \)cm tall. $BR -Find out how many cups you will need to reach the height of your friend. -\( cups = \) \{ans_rule(10) \} -END_TEXT - -ANS( num_cmp( $b ) ); -ANS( num_cmp( $a ) ); - -ANS ( num_cmp( $xanst ) ); - -#########################################################>>> +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGcourse.pl'); + +$a = random(5, 11, 1); +$b = random(1, 3, 0.5); +$c = random(150, 200, 5); +$hc1 = $a + $b; +$hc2 = $a + 2 * $b; +$hc3 = $a + 3 * $b; +$xans = ($c - $a) / $b; +$cups = ceil($xans); + +$linear_model = Formula("$b x + $a"); + +if (($xanst - $xans) < 0) { $xanst = $xanst + 1 } + +BEGIN_PGML + +>> [!An image of a polystyrene cup!]{'cup.jpg'}{200} << + +Stackable polystyrene cups have a height +[` h_{1} = [$hc1] `] cm. + +* Two stacked cups have a height of [` h_{2} = [$hc2] `] cm. +* Three stacked cups have a height of [` h_{3} = [$hc3] `] cm. + +a) Find the linear model for the height, where [`x`] is the number of cups: [` h(x) = `][_]{$linear_model} + + +b) If your friend is [` [$c] `] cm tall, how many complete cups you will need to reach at least the height of your friend. [_]{$cups} +END_PGML + +$solb = + $cups == $xans + ? 'The number of cups is [$cups]' + : 'Since the number of cups is not an integer, round up to [$cups].'; + +BEGIN_PGML_SOLUTION +a) First, find the linear model for the height. This will be [` h(x) = mx +b `]. We need two points on this line and can use [`(2,[$hc2])`] and [`(3,[$hc3])`]. The slope using these are + [``` m = \frac{[$hc3]-[$hc2]}{3-2} = [$b] ```]. + Using the point [`(2,[$hc2])`], substitute this and the slope into the linear model to get + [``` h(2) = [$hc2] = [$b] \cdot 2 + b ```] + and solving for [`b`] to get [`b=[$a]`]. The model is + [``` h(x) = [$b] x + [$a] ```] + +b) In this case, we will substitute [` h(x) = [$c]`] and solve for [`x`] + [``` [$c] = [$b] x + [$a] ```] + subtract [$a] from both sides + [``` [@ $c-$a @] = [$b] x ```] + divide by [$b] to get + [``` [@ ($c-$a)/$b @] = x ```] + + [@ PGML($solb) @]* +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/GRPS/perltidy.ERR b/OpenProblemLibrary/GRPS/perltidy.ERR new file mode 100644 index 0000000000..a9f32cbd61 --- /dev/null +++ b/OpenProblemLibrary/GRPS/perltidy.ERR @@ -0,0 +1,53 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream +33: Use of bare << to mean <<"" is deprecated + +35: Stackable polystyrene cups have a height + ^ +found bareword where operator expected + +Missing ';' or ',' above? + +38: * Two stacked cups have a height of [` h_{2} = [$hc2] `] cm. + ----- ^ +found bareword where operator expected (previous token underlined) + +39: * Three stacked cups have a height of [` h_{3} = [$hc3] `] cm. + ------- ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 41 +41: a) Find the linear model for the height, where [`x`] is the numb ... + ^ + +41: a) Find the linear model for the height, where [`x`] is the numb ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 44 +44: b) If your friend is [` [$c] `]cm tall, how many complete cups y ... + ^ + +44: b) If your friend is [` [$c] `]cm tall, how many complete cups y ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 52 +52: a) First, find the linear model for the height. This will be [` ... + ^ + +52: a) First, find the linear model for the height. This will be [` ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 59 +59: b) In this case, we will substitute [` h(x) = [$c]`] and solve f ... + ^ +68: final indentation level: 1 + +Final nesting depth of '['s is 1 +The most recent un-matched '[' is on line 66 +66: [@ PGML($solb) @]* + ^ +68: To save a full .LOG file rerun with -g diff --git a/OpenProblemLibrary/GRPS/scale1.pg b/OpenProblemLibrary/GRPS/scale1.pg index c7bce7acbb..5f67643300 100644 --- a/OpenProblemLibrary/GRPS/scale1.pg +++ b/OpenProblemLibrary/GRPS/scale1.pg @@ -6,42 +6,37 @@ ## Level(3) ## KEYWORDS('scale', 'area') +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGcourse.pl'); -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT(&beginproblem); $showPartialCorrectAnswers = 1; #define the variables -$x=random(1,3,.1); -$y=random(1,3,.1); -$s=random(2,5,1); +$x = random(1, 3, .1); +$y = random(1, 3, .1); +$s = random(2, 5); + +BEGIN_PGML +A map shows the size of Grand Rapids to be a rectangle [` [$x] cm `] by [` [$y] cm `]. The scale of the map is 1 cm = [` [$s] `] miles. +a) What is the actual size of Grand Rapids? [_]{Real($s*$x)} [` mi `] by [_]{Real($s*$y)} [` mi `] -TEXT(EV2(<.1 ) ); -ANS( num_cmp( $y*$s, reltol=>.1 ) ); -ANS( num_cmp( $x*$y, reltol=>.1 ) ); -ANS( num_cmp( $x*$y*$s**2, reltol=>.1 ) ); +c) The actual area is the product of the two actual dimensions or [`A=[@ $s**2*$x*$y@]\;\text{mi}^2`]. +END_PGML_SOLUTION -#########################################################>>> ENDDOCUMENT(); - + \ No newline at end of file diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/Q11.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/Q11.pg index e1f5198601..74ff87badf 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/Q11.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/Q11.pg @@ -27,53 +27,41 @@ ## Problem3('18') ## KEYWORDS('rate of change','lines','linear functions','slope','intercept') - DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +Context('Numeric')->variables->are(t => 'Real'); -TEXT(beginproblem()); +$b = random(2600, 3800, 100); +$m = random(20, 50, 5); +$year = random(1923, 1929); +$c = $b - ($year - 1920) * $m; +$ans = Formula("$b - $m *t"); +$dt = $year - 1920; -Context('Numeric'); -Context()->variables->are( t=>'Real' ); +BEGIN_PGML -$showPartialCorrectAnswers = 1; +The population of a town in 1920 was [$b] people. +The town's population decreased linearly, and in [$year] the population was [$c]. +Find a formula for [`P`], the town's population, in terms of [`t,`] the +number of years since 1920. -$b = random(2600,3800,100); -$m = random(20,50,5); -$year = random(1923,1929,1); -$c = $b - ($year-1920)*$m; -$ans = "$b - $m *t"; -$dt = $year-1920; +[` P(t) = `] [_]{$ans} -BEGIN_TEXT +END_PGML -The population of a town in 1920 was $b people. -The town's population decreased linearly, and in $year the population was $c. -Find a formula for \(P\), the town's population, in terms of \(t\), the -number of years since 1920. -$PAR -\( P(t) = \ \) \{ ans_rule(25) \} +# ANS( Compute($ans)->cmp() ); -END_TEXT +BEGIN_PGML_SOLUTION -ANS( Compute($ans)->cmp() ); +The points ( 0, [$b] ) and ( [$dt] , [$c] ). Using these points we have a slope +of [``` m = \frac{ [$c] - [$b] }{[$dt] - 0} = -[$m]. ```] -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR -The points ( 0, $b ) and ( $dt , $c ). Using these points we have a slope -of \( m = \frac{ $c - $b }{$dt - 0} = -$m \). The vertical intercept is the -population in 1920 (when \(t = 0\)), \(b = $b\). The formula is therefore -\( P(t) = $b - $m t \). +The vertical intercept is the +population in 1920 (when [`t = 0`]), [`b = [$b]`]. The formula is therefore +[``` P(t) = [$b] - [$m] t ```] -END_SOLUTION +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/perltidy.ERR b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/perltidy.ERR new file mode 100644 index 0000000000..51a14b5cbc --- /dev/null +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec3/perltidy.ERR @@ -0,0 +1,27 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +47: The population of a town in 1920 was [$b] people. + ---- ^ +found bareword where operator expected (previous token underlined) + +61: of [``` m = \frac{ [$c] - [$b] }{[$dt] - 0} = -[$m]. ```] + --^ +found String where operator expected (previous token underlined) + +61: of [``` m = \frac{ [$c] - [$b] }{[$dt] - 0} = -[$m]. ```] + ----------------------------------------^ +found String where operator expected (previous token underlined) + +64: population in 1920 (when [`t = 0`]), [`b = [$b]`]. The formula ... + ---- ^ +found ( where operator expected (previous token underlined) + +65: [``` P(t) = [$b] - [$m] t ```] + --^ +found String where operator expected (previous token underlined) + +65: [``` P(t) = [$b] - [$m] t ```] + ------------------------^ +found String where operator expected (previous token underlined) diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q09.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q09.pg index 481594e1cd..3478de4d62 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q09.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q09.pg @@ -26,61 +26,45 @@ ## Problem3('24') ## KEYWORDS('lines','linear functions','slope-intercept','point-slope form') - DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); Context("Numeric"); -Context()->strings->add( none => {} ); +Context()->strings->add(none => {}); $showPartialCorrectAnswers = 1; -$d = non_zero_random(-5,2,1)+7; -$n = random(2,9,1); - +$d = non_zero_random(-5, 2) + 7; +$n = random(2, 9); $m = 1; -$k = $d*$n; +$k = $d * $n; + +BEGIN_PGML +If possible write the following equation in *slope-intercept* form. + + [``` \frac{y-x}{ [$d] } = [$n] ```] + +a) What is the value of [` m`] when written in slope-intercept form? If the equation cannot be written in slope-intercept form, enter *none* in the box. -BEGIN_TEXT -If possible write the following equation in $BBOLD slope-intercept $EBOLD form. + [`m = `] [_]{Real($m)} -\[ \frac{y-x}{ $d } = $n \] +b) What is the value of [`b`] when written in slope-intercept form? If the equation cannot be written in slope-intercept form, enter *none* in the box. -$PAR -a) What is the value of \( m\) when written in slope-intercept form? If the equation cannot be written in slope-intercept form, enter ${BBOLD}none$EBOLD in the box. -$BR -\(m = \) \{ ans_rule(20) \} -$PAR -b) What is the value of \(b\) when written in slope-intercept form? If the equation cannot be written in slope-intercept form, enter ${BBOLD}none$EBOLD in the box. -$BR -\( b = \) \{ ans_rule(20) \} + [` b = `] [_]{Real($k)} -END_TEXT +END_PGML -ANS( Compute($m)->cmp() ); -ANS( Compute($k)->cmp() ); +BEGIN_PGML_SOLUTION -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR Rewriting in slope-intercept form: -\[ \frac{y-x}{ $d } = $n \] -$BR -\[ y - x = ($n)($d) \] -$BR -\[ y = x + $k \] +[``` \frac{y-x}{ [$d] } = [$n] ```] + +[``` y - x = ([$n])([$d]) ```] + +[``` y = x + [$k] ```] -END_SOLUTION +END_PGML_SOLUTION -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q38.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q38.pg index c2746fa4f1..37da2d1c30 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q38.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/Q38.pg @@ -29,101 +29,85 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); Context("Numeric"); -Context()->variables->are( n=>'Real', C=>'Real' ); +Context()->variables->are(n => 'Real', C => 'Real'); $showPartialCorrectAnswers = 1; -$x0 = random(20,30,10); -$dx = random(20,40,10); +$x0 = random(20, 30, 10); +$dx = random(20, 40, 10); $x1 = $x0 + $dx; -$y0 = random(150.00,155.00,0.50); -$m = random(2.50,4.25,0.25); +$y0 = random(150.00, 155.00, 0.50); +$m = random(2.50, 4.25, 0.25); $dy = $m * $dx; $y1 = $y0 + $dy; -$b = $y0 - $m * $x0; -$k = $b/$m; -$s = 1/$m; +$b = $y0 - $m * $x0; +$k = $b / $m; +$s = 1 / $m; $ans1 = "$m n + $b"; $ans2 = "$s C - $k"; -$x2 = $x0 + $dx/2; -$y2 = $m*$x2 + $b; +$x2 = $x0 + $dx / 2; +$y2 = $m * $x2 + $b; $x3 = $s * 300 - $k; -$approx = round($x3*10000)/10000; - -$out = int((300 - $b)/$m); - -BEGIN_TEXT - -In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per week. If $x0 meals cost ${DOLLAR}$y0 and $x1 meals cost ${DOLLAR}$y1 , answer the following questions: -$PAR -a) Write a formula for the cost of a meal plan, $BITALIC C ${EITALIC}, in terms of the number of meals, $BITALIC n ${EITALIC}. -$BR -\( C = \ \) \{ ans_rule(20) \} -$PAR -b) What is the membership fee? $DOLLAR \{ ans_rule(20) \} -$PAR -c) What is the price per meal? $DOLLAR \{ ans_rule(20) \} per meal -$PAR -d) Find the cost for $x2 meals. $DOLLAR \{ ans_rule(20) \} -$PAR -e) Find $BITALIC n $EITALIC in terms of $BITALIC C ${EITALIC}. $SPACE $SPACE \( n = \ \) \{ ans_rule(30) \} -$PAR -f) Finally, use your answer in part (e) to determine the maximum number of meals you can buy on a budget of ${DOLLAR}300. Maximum number of meals implies if you find that $BITALIC n $EITALIC = 3.9, then you can buy a maximum of 3 meals. You must truncate any decimal solutions (which is different from rounding). -$PAR -\( n = \ \) \{ ans_rule(10) \} meals -END_TEXT - -ANS( Compute($ans1)->cmp() ); -ANS( Compute($b)->cmp() ); -ANS( Compute($m)->cmp() ); -ANS( Compute($y2)->cmp() ); -ANS( Compute($ans2)->cmp() ); -ANS( Compute($out)->cmp() ); - -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR -a) We are given two points on the line, ($x0, $y0) and ($x1, $y1). We can compute the slope - -\[ m = \frac{\Delta C}{\Delta n} = \frac{$y1 - $y0}{$x1 - $x0} = $m \] - -Then we use the point ($x0, $y0) to solve for the \(C\)-intercept \(b\), \( $y0 = $m ($x0) + b \) so \( b = $b \). The equation is therefore \( C = $m n + $b \) . -$PAR -b) The membership fee is the amount a student is charged which is independent of how many meals they decide to include in their plan. In other words, it this the cost if \( n = 0 \), or the \(C\)-intercept \(b = \)${DOLLAR}$b. -$PAR -c) The price per meal is how much the cost of the meal increases if a student adds one more meal onto their plan, which is the slope \(m = \)${DOLLAR}$m per meal. -$PAR -d) Using the formula from (a) \( C = $m ($x2) + $b = $y2 \) . So $x0 meals will cost ${DOLLAR} $y2 . -$PAR +$approx = round($x3 * 10000) / 10000; + +$out = int((300 - $b) / $m); + +BEGIN_PGML + +In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per week. If [$x0] meals cost $[$y0] and [$x1] meals cost $[$y1] , answer the following questions: + +a) Write a formula for the cost of a meal plan, _C_, in terms of the number of meals, _n_. + + [` C = \ `] [_]{$ans1} + +b) What is the membership fee? $[_]{$b} + +c) What is the price per meal? $[_]{$m} per meal + +d) Find the cost for [$x2] meals. $[_]{$y2} + +e) Find _n_ in terms of _C_. [` n = \ `] [_]{$ans2} + +f) Finally, use your answer in part (e) to determine the maximum number of meals you can buy on a budget of $300. Maximum number of meals implies if you find that [`n = 3.9`], then you can buy a maximum of 3 meals. You must truncate any decimal solutions (which is different from rounding). + + [` n = \ `] [_]{$out} meals +END_PGML + +BEGIN_PGML_SOLUTION + +a) We are given two points on the line, ([$x0], [$y0]) and ([$x1], [$y1]). We can compute the slope + + [``` m = \frac{\Delta C}{\Delta n} = \frac{[$y1] - [$y0]}{[$x1] - [$x0]} = [$m] ```] + + Then we use the point [`([$x0], [$y0])`] to solve for the [`C`]-intercept [`b`], + [``` [$y0] = [$m] ([$x0]) + b ```] + so [` b = [$b] `]. The equation is therefore [` C = [$m] n + [$b] `] . + +b) The membership fee is the amount a student is charged which is independent of how many meals they decide to include in their plan. In other words, it this the cost if [` n = 0 `], or the [`C`]-intercept [`b = `]$[$b]. + +c) The price per meal is how much the cost of the meal increases if a student adds one more meal onto their plan, which is the slope [`m = `] $[$m] per meal. + +d) Using the formula from (a) [` C = [$m] ([$x2]) + [$b] = [$y2] `] . So [$x0] meals will cost $[$y2] . + e) Rewriting our expression for the cost of a meal plan: -\[\begin{aligned} C &= $m n + $b,\\ - $m n &= C - $b \\ - n &= \frac{C - $b}{$m} \\ - & = \frac{C}{$m} - \frac{$b}{$m} -\end{aligned}\] -$PAR -f) Given \(C = \)${DOLLAR}300 you can buy: -\[ n = \frac{300}{$m} - \frac{$b}{$m} \approx $approx \] -$PAR -Since the college is unlikely to sell you a fraction of a meal, we round this number down. Thus, $out is the number of meals you can buy for ${DOLLAR}300. - -END_SOLUTION +[```\begin{aligned} C &= [$m] n + [$b],\\ + [$m] n &= C - [$b] \\ + n &= \frac{C - [$b]}{[$m]} \\ + & = \frac{C}{[$m]} - \frac{[$b]}{[$m]} +\end{aligned}```] + +f) Given [`C = `]$300 you can buy: +[``` n = \frac{300}{[$m]} - \frac{[$b]}{[$m]} \approx [$approx] ```] + +Since the college is unlikely to sell you a fraction of a meal, we round this number down. Thus, [$out] is the number of meals you can buy for $300. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/perltidy.ERR b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/perltidy.ERR new file mode 100644 index 0000000000..d0e4d7cd7c --- /dev/null +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap1Sec4/perltidy.ERR @@ -0,0 +1,54 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +There is no previous '[' to match a ']' on line 66 +66: ... per week. If [$x0] meals cost $[$y0] and [$x1] meals cost $[$y1 ... + ^ + +There is no previous '[' to match a ']' on line 66 +66: ... st $[$y0] and [$x1] meals cost $[$y1] , answer the following que ... + ^ + +There is no previous '(' to match a ')' on line 68 +68: a) Write a formula for the cost of a meal plan, _C_, in terms of ... + ^ + +68: a) Write a formula for the cost of a meal plan, _C_, in terms of ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 72 +72: b) What is the membership fee? $[_]{$b} + ^ + +72: b) What is the membership fee? $[_]{$b} + - ^ +found bareword where operator expected (previous token underlined) + +72: b) What is the membership fee? $[_]{$b} + --^ +found bareword where operator expected (previous token underlined) + +There is no previous '[' to match a ']' on line 72 +72: b) What is the membership fee? $[_]{$b} + ^ + +74: c) What is the price per meal? $[_]{$m} per meal + ^ +found bareword where operator expected + +Missing ';' or ',' above? + +There is no previous '(' to match a ')' on line 74 +74: c) What is the price per meal? $[_]{$m} per meal + ^ + +74: c) What is the price per meal? $[_]{$m} per meal + - ^ +found bareword where operator expected (previous token underlined) + +74: c) What is the price per meal? $[_]{$m} per meal + --^ +found bareword where operator expected (previous token underlined) +No further warnings will be given diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Review/Q46.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Review/Q46.pg index addffdc782..92410c2311 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Review/Q46.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Review/Q46.pg @@ -26,116 +26,92 @@ ## Problem3('38') ## KEYWORDS('exponential functions','growth rate','growth factor','continuous exponential growth','e','compound interest','graphs of exponential functions') - DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "extraAnswerEvaluators.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserCheckboxList.pl', 'PGcourse.pl'); Context("Numeric"); +$yr1 = random(2015, 2035, 5); +$t = $yr1 - 2005; +$yr2 = $yr1 + $t; -$showPartialCorrectAnswers = 1; - -$yr1 = random(2015,2035,5); -$t = $yr1 - 2005; -$yr2 = $yr1+$t; - -$pop1 = round((36.8*(1.013)**$t)*1000)/1000; -$pop2 = round((36.8*(1.013)**(2*$t))*1000)/1000; -$diff1 = round(($pop1-36.8)*1000)/1000; -$diff2 = round(($pop2-$pop1)*1000)/1000; +$pop1 = round((36.8 * (1.013)**$t) * 1000) / 1000; +$pop2 = round((36.8 * (1.013)**(2 * $t)) * 1000) / 1000; +$diff1 = round(($pop1 - 36.8) * 1000) / 1000; +$diff2 = round(($pop2 - $pop1) * 1000) / 1000; $ansdiff1 = Compute("36.8*(1.013)**$t - 36.8"); $ansdiff2 = Compute("36.8*(1.013)**(2*$t) - 36.8*(1.013)**($t)"); -$checkbox_mc = new_checkbox_multiple_choice(); -$checkbox_mc -> qa("Explain how you can tell before doing the calculations - which of the two answers in parts (a) and (b) is larger. - Select ALL statements in A-F which are true if more than - one is possible.", - "The calculation in part (b) is larger since the exponential +$cb = CheckboxList( + [ + [ + "The calculation in part (b) is larger since the exponential function is concave up, and the average rate of change is increasing as time goes on.", - "The calculation in part (b) is larger since both increases + "The calculation in part (b) is larger since both increases are over $t year periods, but since the graph of the function bends upward, the increase in the later time - period is larger."); - -$checkbox_mc -> extra("The calculation in part (a) is larger since the function + period is larger.", + "The calculation in part (a) is larger since the function is exponential, and exponential graphs grow faster at first, and then flatten.", - "The calculation in part (a) is larger since the graph of + "The calculation in part (a) is larger since the graph of the function is concave down, and the average rate of change is decreasing as time goes on.", - "The two answers are equal since the change in time from + "The two answers are equal since the change in time from 2005 to $yr1 is the same as the change in time from $yr1 to $yr2. Therefore the change in outputs will be the - same."); -$checkbox_mc -> makeLast("None of the above"); - + same." + ], + 'None of the above.' + ], + [ 0, 1 ], + labels => 'ABC' +); -Context()->texStrings; -BEGIN_TEXT +BEGIN_PGML In January 2005, the population of California was 36.8 million and growing -at an annual rate of 1.3${PERCENT}. Assume that growth continues at the same +at an annual rate of 1.3%. Assume that growth continues at the same rate. -$PAR -(a) By how much will the population increase between 2005 and $yr1? $BR -By \{ ans_rule(10) \} million (to the nearest 0.001 million) -$PAR -(b) By how much will the population increase between $yr1 and $yr2? $BR -By \{ ans_rule(10) \} million (to the nearest 0.001 million) -$PAR -(c) \{ $checkbox_mc -> print_q \} $BR -\{ $checkbox_mc -> print_a \} - -END_TEXT -Context()->normalStrings; - -# ANS(num_cmp( $diff1,tol=>0.005 ) ); -# ANS(num_cmp( $diff2,tol=>0.005 ) ); -# ANS( Compute($diff1)->cmp( tolerance=>0.001, tolType=>absolute) ); -# ANS( Compute($diff2)->cmp( tolerance=>0.001, tolType=>absolute) ); -ANS( $ansdiff1->cmp( tolerance=>0.001, tolType=>absolute) ); -ANS( $ansdiff2->cmp( tolerance=>0.001, tolType=>absolute) ); -ANS(checkbox_cmp( $checkbox_mc -> correct_ans )); - -$t2 = 2*$t; - -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR -In general, at \(t\) years after 2005, the population in millions -is \( \ P = 36.8(1.013)^{t} \). -$PAR -(a) In $yr1, we have \(t = $t\), so \( P=36.8(1.013)^{$t} \approx $pop1 \) -million. Therefore, between 2005 and $yr1, the population has increased -by about \( $pop1 - 36.8 = $diff1 \) million people. -$PAR -(b) In $yr2, we have \(t = $t2\), so \( P=36.8(1.013)^{$t2} \approx $pop2 \) -million. Therefore, between $yr1 and $yr2, the population has increased by -about \( $pop2 - $pop1 = $diff2 \) million people. -$PAR -(c) The increase between $yr1 and $yr2 is expected to be larger than -the increase between 2005 and $yr1 because the exponential function is -concave up. Both increases are over $t year periods, but since the + +a) By how much will the population increase between 2005 and [$yr1]? + + By [_]{$diff1} million (to the nearest 0.001 million) + +b) By how much will the population increase between [$yr1] and [$yr2]? + + By [_]{$diff2} million (to the nearest 0.001 million) + +c) Explain how you can tell before doing the calculations which of the two answers in parts (a) and (b) is larger. Select *all* statements in A-F which are true if more than one is possible. + + [_]{$cb} + +END_PGML + +$t2 = 2 * $t; + +BEGIN_PGML_SOLUTION +In general, at [`t`] years after 2005, the population in millions +is [` \ P = 36.8(1.013)^{t} `]. + +(a) In [$yr1], we have [`t = [$t]`], so [` P=36.8(1.013)^{[$t]} \approx [$pop1] `] +million. Therefore, between 2005 and [$yr1], the population has increased +by about [` [$pop1] - 36.8 = [$diff1] `] million people. + +(b) In [$yr2], we have [`t = [$t2]`], so [` P=36.8(1.013)^{[$t2]} \approx [$pop2] `] +million. Therefore, between [$yr1] and [$yr2], the population has increased by +about [` [$pop2] - [$pop1] = [$diff2] `] million people. + +(c) The increase between [$yr1] and [$yr2] is expected to be larger than +the increase between 2005 and [$yr1] because the exponential function is +concave up. Both increases are over [$t] year periods, but since the graph of the function bends upward, the increase in the later time -period is larger. Thus statements \{ $checkbox_mc -> correct_ans \} +period is larger. Thus statements [@ $cb -> correct_ans @]* are correct. -END_SOLUTION -Context()->normalStrings; +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-19-Exponential-functions.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-19-Exponential-functions.pg index 5fa8aa7847..05b642a841 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-19-Exponential-functions.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-19-Exponential-functions.pg @@ -2,7 +2,6 @@ ## Functions: Input and Output ## ENDDESCRIPTION - ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Applications and models - population growth) @@ -19,71 +18,42 @@ ## Problem1('19') ## KEYWORDS('exponential functions','growth rate','growth factor') -DOCUMENT(); +## Updated 2025.01 by Peter Staab, switch to PGML. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -################################## # Setup -Context("Numeric"); -Context()->variables->are(t=>"Real"); +Context("Numeric")->variables->are(t => Real); -$a = random(2000,2500,10); -$rpercent = random(-3.9,-3.1,0.1); +$a = random(2000, 2500, 10); +$rpercent = random(-3.9, -3.1, 0.1); $rpercentpos = -($rpercent); -$r = $rpercent / 100; -$b = 1 + $r; +$r = $rpercent / 100; +$b = 1 + $r; $f = Formula("$a * ($b)**t"); -##################################### -# Main text - -Context()->texStrings; -BEGIN_TEXT +BEGIN_PGML -Find a formula for \( P = f(t) \), the -size of the population that begins in year -\( t = 0 \) with \( $a \) members and -decreases at a \( $rpercentpos \) ${PERCENT} annual +Find a formula for [` P = f(t) `], the size of the population that begins in year +[` t = 0 `] with [` [$a] `] members and decreases at a [` [$rpercentpos] `]% annual rate. Assume that time is measured in years. -$BR -$BR -\( P = f(t) = \) -\{ ans_rule(20) \} -\{ AnswerFormatHelp("formula") \} -END_TEXT -Context()->normalStrings; +[` P = f(t) = `] [_]{$f}{20} -#################################### -# Answer evaluation +END_PGML -$showPartialCorrectAnswers = 1; +BEGIN_PGML_SOLUTION -ANS($f->cmp() ); +The starting value is [`a=[$a]`]. The growth rate is [`r=[$r]`]% (note that it is negative), +so [`b=1+r=[$b]`]. The formula is -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR -The starting value is \(a=$a\). -The growth rate is \(r=$rpercent\)$PERCENT\(= $r\), -so \(b=1+r=$b\). -We have \(P = $f\). +[```P = [$f]```] -END_SOLUTION -Context()->normalStrings; +END_PGML_SOLUTION -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-28-Exponential-functions.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-28-Exponential-functions.pg index b2f7fcdf7f..6aed841ed4 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-28-Exponential-functions.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec1/Connally3-3-1-28-Exponential-functions.pg @@ -1,6 +1,6 @@ ## DESCRIPTION ## Functions: Input and Output - +## ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) @@ -35,22 +35,9 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "AnswerFormatHelp.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); - -Context("Numeric"); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -################################## -# Setup - -Context("Numeric"); -Context()->variables->are(t=>"Real"); +Context("Numeric")->variables->are(t=>"Real"); $startyear = random(2001,2005,1); $endyear = random(2009,2013,1); @@ -63,89 +50,57 @@ $b = 1 + $r; $N = Formula("$a * ($b)**t"); $tb = ($endyear-$startyear); -$answerb = $N->eval(t=>$tb); +$Nb = $N->eval(t=>$tb); $tc = 2000 - $startyear; -$answerc = $N->eval(t=>$tc); - -##################################### -# Main text - -Context()->texStrings; -BEGIN_TEXT - -In the year $startyear, a total of $a -million passengers took a cruise vacation. -The global cruise industry has been growing -at $rpercent${PERCENT} per year for the last decade. -Assume that this growth rate continues. -$PAR -(a) Write a formula for to approximate the -number, \( N \), of cruise passengers (in -millions) \( t \) years after $startyear. -$BR -\( N = \) -\{ ans_rule(20) \} -\{ AnswerFormatHelp("formula") \} -$PAR -(b) How many cruise passengers (in millions) -are predicted in the year $endyear? -$BR -\( N = \) -\{ ans_rule(20) \} -\{ AnswerFormatHelp("number") \} -$PAR -(c) How many cruise passengers (in millions) -were there in the year 2000? -$BR -\( N = \) -\{ ans_rule(20) \} -\{ AnswerFormatHelp("number") \} -$PAR - - -END_TEXT -Context()->normalStrings; - - -#################################### -# Answer evaluation - -$showPartialCorrectAnswers = 1; - -ANS($N->cmp() ); -ANS($answerb->cmp(tolType=>'absolute', tolerance=>'0.1') ); -ANS($answerc->cmp(tolType=>'absolute', tolerance=>'0.1') ); +$Nc = $N->eval(t=>$tc); + +BEGIN_PGML + +In the year [$startyear], a total of [$a] million passengers took a cruise vacation. The global cruise industry has been growing at [$rpercent]% per year for the last decade. Assume that this growth rate continues. + +a) Write a formula for to approximate the number, [` N `], of cruise passengers (in +millions) [` t `] years after [$startyear]. + + [` N = `][_]{$N} + + +b) How many cruise passengers (in millions) are predicted in the year [$endyear]? + + [` N = `][_]{$Nb} + +c) How many cruise passengers (in millions) were there in the year 2000? + + [` N = `][_]{$Nc} + + +END_PGML + $ansbr = round(1000*$answerb)/1000; $anscr = round(1000*$answerc)/1000; -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR -(a) -Since \(N\) is growing by $rpercent$PERCENT per year, we know that \(N\) is an -exponential function of \(t\) with growth factor \(1 + $r = $b\). -Since \(N = $a\) when \(t = 0\), we have -\[ -N = $a($b)^t. -\] -$PAR -(b) In the year $endyear, we have \(t = $tb\) and -\[ -N = $a($b)^{$tb} \approx $ansbr \hbox{ million passengers.} -\] -$PAR -(c) -In the year 2000, we have \(t = $tc\) and -\[ -N = $a($b)^{$tc} \approx $anscr \hbox{ million passengers.} -\] - -END_SOLUTION -Context()->normalStrings; +BEGIN_PGML_SOLUTION + + +a) Since [`N`] is growing by [$rpercent][$PERCENT] per year, we know that [`N`] is an +exponential function of [`t`] with growth factor [`1 + [$r] = [$b]`]. +Since [`N = [$a]`] when [`t = 0`], we have +[``` +N = [$a]([$b])^t. +```] + +b) In the year [$endyear], we have [`t = [$tb]`] and +[``` +N = [$a]([$b])^{[$tb]} \approx [$Nb] \hbox{ million passengers.} +```] + +c) In the year 2000, we have [`t = [$tc]`] and +[``` +N = [$a]([$b])^{[$tc]} \approx [$Nc] \hbox{ million passengers.} +```] + +END_PGML_SOLUTION ; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec2/Connally3-3-2-38-Exponential-vs-linear.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec2/Connally3-3-2-38-Exponential-vs-linear.pg index 2fd2dd5b88..6375e18973 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec2/Connally3-3-2-38-Exponential-vs-linear.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap3Sec2/Connally3-3-2-38-Exponential-vs-linear.pg @@ -2,7 +2,6 @@ ## Functions: Input and Output ## ENDDESCRIPTION - ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) ## DBsection(Applications and models - general) @@ -17,86 +16,47 @@ ## Problem1('38') ## KEYWORDS('exponential functions','annual growth rate','linear growth') - DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); - -################################## -# Setup - -$ml = new_match_list(); -$ml->qa( -"The percent of a lake's surface covered by -algae, initially at 35${PERCENT}, was halved -each year since the passage of anti-pollution -laws.", -"\( f(x) = A(2)^{-x} \)$BR", -# -"The amount of charge on a capacitor in an -electric circuit decreases by 30${PERCENT} -each second.", -"\( f(x) = B(0.7)^x \)$BR", -# -"Polluted water is passed through a series of -filters. Each filter removes all but 30${PERCENT} -of the remaining impurities from the water.", -"\( f(x) = B(0.3)^x \)$BR", -# -"In 1950, the population of a town was 3000 people. -Over the course of the next 50 years, the town -grew at a rate of 250 people per year.", -"\( f(x) = P_0 + r x \)$BR", -# -"In 1950, the population of a town was 3000 people. -Over the course of the next 50 years, the town -grew at a rate of 10${PERCENT} per decade.", -"\( f(x) = P_0(1 + r)^x \)$BR", -); - -$ml->rf_print_q(~~&pop_up_list_print_q); # use pop-up-lists -$ml -> ra_pop_up_list([ No_answer=>"?", A=>"A", B=>"B", C=>"C", D=>"D", E=>"E"] ); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); +@shuffle = random_subset(5, 0 .. 4); +%s = map { $_ => $shuffle[$_] } 0 .. 4; +%r = reverse %s; -$ml->choose(5); - -# to add extra answers that show up in the -# matching list, we would uncomment -# (remove the leading "# " from) the two -# lines below: -# $ml->extra("Extra Ans 1", "Extra Ans 2"); -# $ml->choose_extra(2); - -#$ml->makeLast("None of the above"); +@forms = ( + 'f(x) = A(2)^{-x}', + 'f(x) = B(0.7)^x', + 'f(x) = B(0.3)^x', + 'f(x) = P_0 + r x', + 'f(x) = P_0(1 + r)^x' +); +@dd = map { DropDown([ 'A' .. 'E' ], $r{$_}) } (0 .. 4); -##################################### # Main text -BEGIN_TEXT - +BEGIN_PGML Match each story with a formula. Assume that the -constants \( P_0, r, b, A \) are all positive. -$BR -\{ $ml->print_q \} -\{ $ml->print_a \} +constants [` P_0, r, b, A `] are all positive. + +1. The percent of a lake's surface covered by algae, initially at 35%, was halved each year since the passage of anti-pollution laws. [_]{$dd[0]} + +2. The amount of charge on a capacitor in an electric circuit decreases by 30% each second. [_]{$dd[1]} -END_TEXT +3. Polluted water is passed through a series of filters. Each filter removes all but 30% of the remaining impurities from the water. [_]{$dd[2]} -#################################### -# Answer evaluation +4. In 1950, the population of a town was 3000 people. Over the course of the next 50 years, the town grew at a rate of 250 people per year. [_]{$dd[3]} -install_problem_grader(~~&std_problem_grader); -$showPartialCorrectAnswers = 0; +5. In 1950, the population of a town was 3000 people. Over the course of the next 50 years, the town grew at a rate of 10% per decade. [_]{$dd[4]} -ANS(str_cmp( $ml->ra_correct_ans ) ); +A. [`[$forms[$s{0}]]`] +B. [`[$forms[$s{1}]]`] +C. [`[$forms[$s{2}]]`] +D. [`[$forms[$s{3}]]`] +E. [`[$forms[$s{4}]]`] +END_PGML ENDDOCUMENT(); diff --git a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap4Review/Q52.pg b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap4Review/Q52.pg index 0460292850..a47c456ec1 100644 --- a/OpenProblemLibrary/LoyolaChicago/Precalc/Chap4Review/Q52.pg +++ b/OpenProblemLibrary/LoyolaChicago/Precalc/Chap4Review/Q52.pg @@ -25,102 +25,80 @@ ## Problem3('54') ## KEYWORDS('logarithms','log','ln','half-life','double-time','continuous growth rate') +## Updated 2025.02 by Peter Staab, switch to PGML. + DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "extraAnswerEvaluators.pl", - "MathObjects.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGchoicemacros.pl', 'PGgraphmacros.pl', + 'extraAnswerEvaluators.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); +Context("Numeric")->variables->are(n => 'Real'); -Context("Numeric")->variables->are( n=>'Real' ); +$showPartialCorrectAnswers = 1; +$left = random(80, 90, 5); +$a_ft = random(5, 10, 1); +$a = $a_ft * 12; +$r = 100 - $left; +$b = $left / 100; +$height = "$a ($b)^n"; + +$n = random(8, 14, 1); +$exact2 = $a * $b**$n; +$ans2 = round($exact2); +$ans2l = round(100 * $exact2) / 100; + +$sol = round((-log($a) / log($b)) * 1000) / 1000; +$ans3 = floor($sol) + 1; +$lower3 = $ans3 - 1; + +BEGIN_PGML +A rubber ball is dropped onto a hard surface from a height of [$a_ft] feet, +and it bounces up and down. At each bounce it rises to [$left]% of +the height from which it fell. -$showPartialCorrectAnswers = 1; +a) Find a formula for [`h(n)`], the height in inches reached by the ball on bounce [`n`]. + + [` h(n) = `] [_]{$height} -$left = random(80,90,5); -$a_ft = random(5,10,1); -$a = $a_ft*12; -$r = 100-$left; -$b = $left/100; -$ans1 = "$a ($b)^n"; +b) How high will the ball bounce on the [` [$n]^{\mbox{th}} `] bounce? + + [` h = `] [_]{$exact2} inches -$n = random(8,14,1); -$exact2 = $a*$b**$n; -$ans2 = round($exact2); -$ans2l = round(100*$exact2)/100; +c) How many bounces before the ball rises no higher than an inch? [_]{$ans3} bounces -$sol = round((-log($a)/log($b))*1000)/1000; -$ans3 = floor($sol)+1; -$lower3 = $ans3 -1; +END_PGML -Context()->texStrings; -BEGIN_TEXT +BEGIN_PGML_SOLUTION -A rubber ball is dropped onto a hard surface from a height of $a_ft feet, -and it bounces up and down. At each bounce it rises to $left$PERCENT of -the height from which it fell. -$PAR -(a) Find a formula for \(h(n)\), the height in inches reached by the ball -on bounce \(n\). -$BR -\( h(n) = \) \{ ans_rule(30) \} -$PAR -(b) How high will the ball bounce on the \( $n^{\mbox{th}} \) bounce? -$BR -\( h = \) \{ ans_rule(20) \} inches -$PAR -(c) How many bounces before the ball rises no higher than an inch? -$BR -\{ ans_rule(10) \} bounces - -END_TEXT -Context()->normalStrings; - -# ANS(fun_cmp($ans1,vars=>'n') ); -# ANS(num_cmp($ans2) ); -# ANS(num_cmp($ans3) ); - -$hn = Compute($ans1); -ANS( $hn->cmp() ); -ANS( $hn->substitute( n=>$n )->cmp() ); -ANS( Compute($ans3)->cmp() ); - -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$BBOLD SOLUTION $EBOLD -$PAR -(a) The initial height is $a_ft feet, and since there are 12 inches -in 1 foot, when \(n = 0\) we have \( a = h(0) = $a_ft \times 12 = $a \) -inches. Since after each bounce the ball rises to $left$PERCENT of its -previous height, we know the decay factor is \(b = $b\). Therefore we -have -\[ h(n) = $a($b)^n. \] -$PAR -(b) We want to find the height when \(n = $n\), so we will evaluate -\( h($n) \): -\[ h($n) = $a ($b)^{$n} \approx $ans2l \mbox{ inches}. \] -$PAR -(c) We are looking for the values of \(n\) for which \( h(n) \leq 1 \) -inch, so we set \(h = 1\) and solve for \(n\): -\[\begin{aligned} -h(n) &= 1 \\ -$a($b)^n &= 1 \\ -($b)^n &= \frac{1}{$a} \\ -\log{($b^n)} &= \log{ \left( 1/$a \right) } \\ -n \, \log{($b)} &= \log{($a^{-1})} \\ -n &= \frac{ - \log{($a)}}{\log{($b)}} \approx $sol. -\end{aligned}\] -So after $lower3 bounces, the ball will rise just over 1 inch, and after -$ans3 bounces it will rise to a height just under 1 inch. Thus after -$ans3 bounces the ball will rise less than 1 inch. - -END_SOLUTION -Context()->normalStrings; -ENDDOCUMENT(); +a) The initial height is [$a_ft] feet, and since there are 12 inches in 1 foot, when [`n = 0`] we have + [``` + a = h(0) = [$a_ft]\;\text{ft} \times \frac{12\;\text{inches}}{1\;\text{ft}} = [$a]\;\text{inches} ```] + + Since after each bounce the ball rises to [$left][$PERCENT] of its + previous height, we know the decay factor is [`b = [$b]`]. Therefore we + have + [``` h(n) = [$a]([$b])^n. ```] + +b) We want to find the height when [`n = [$n]`], so we will evaluate [` h([$n]) `]: + [``` h([[$n]]) = [$a] ([$b])^{[$n]} \approx [$ans2l] \mbox{ inches}. ```] + +c) We are looking for the values of [`n`] for which [` h(n) \leq 1 `] inch, so we set [`h = 1`] and solve for [`n`]: + [```\begin{aligned} + h(n) &= 1 \\ + [$a]([$b])^n &= 1 \\ + ([$b])^n &= \frac{1}{[$a]} \\ + \log{([$b]^n)} &= \log{ \left( 1/[$a] \right) } \\ + n \, \log{([$b])} &= \log{([$a]^{-1})} \\ + n &= \frac{ - \log{([$a])}}{\log{([$b])}} \approx [$sol]. + \end{aligned}```] + So after [$lower3] bounces, the ball will rise just over 1 inch, and after + [$ans3] bounces it will rise to a height just under 1 inch. Thus after +[$ans3] bounces the ball will rise less than 1 inch. + +END_PGML_SOLUTION + +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv02.pg b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv02.pg index 74fa3666ff..0dd54945fe 100644 --- a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv02.pg +++ b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv02.pg @@ -2,7 +2,6 @@ ## Middle School problem: ##ENDDESCRIPTION - ## ProblemTester('Laura Travis') ## Publisher('Prentice Hall') ## DBsubject(Statistics) @@ -20,69 +19,35 @@ ## Problem1('') ## KEYWORDS('prealgebra','common core') -######################################################################## - -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "problemRandomize.pl", - "PGcourse.pl" -); - -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); - -# Allow for the user to try another version of the problem once they get it correct. -ProblemRandomize(when=>"Correct",onlyAfterDue=>0); - -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; +DOCUMENT(); -############################################################## -# -# Setup -# -# +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); +Context('LimitedNumeric'); -Context()->variables->add(a => "Real"); - -$a = non_zero_random(-20,20,1); -$b = non_zero_random(-20,-4,1); -$c = non_zero_random(-16,16,1); -$d = non_zero_random(-16,16,1); -$e = non_zero_random(-16,16,1); -$f = non_zero_random(-16,16,1); -$ans = Compute("($a+$b+$c+$d+$e+$f)/6"); - -############################################################## -# -# Text -# -# - -## to disable arithmetic operations in the answer. Student must simplify. -Context()->operators->undefine("+","-","*","/"); - -BEGIN_TEXT - -The average of \( $a^\circ, $b^\circ, $c^\circ, $d^\circ, $e^\circ, $f^\circ \) = \{ ans_rule(10) \} \(^\circ\) - -END_TEXT +@temps = ( + non_zero_random(-20, 20), + non_zero_random(-20, -4), + non_zero_random(-16, 16), + non_zero_random(-16, 16), + non_zero_random(-16, 16), + non_zero_random(-16, 16) +); -Context("Numeric"); +$mean = stats_mean(@temps); -Context()->normalStrings; +BEGIN_PGML -############################################################## -# -# Answers -# -# +The average of [` [@ join(', ', map { "$_^{\\circ}"} @temps) @] `] +is [_]{Real($mean)} +END_PGML -ANS($ans->cmp); +$sum = 0; +$sum += $_ for (@temps); +BEGIN_PGML_SOLUTION +The sum of the numbers is [$sum], therefore the average or mean is +[``` \frac{[$sum]}{6} = [$mean] ```] +END_PGML_SOLUTION -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv03.pg b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv03.pg index 4a3a540bd8..8ffb1dbff4 100644 --- a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv03.pg +++ b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC01S09/IntegerMultDiv03.pg @@ -1,8 +1,7 @@ ##DESCRIPTION -## Middle School problem: +## Find the total and mean of a set of bank deposits. ##ENDDESCRIPTION - ## ProblemTester('Laura Travis') ## Publisher('Prentice Hall') ## DBsubject(Statistics) @@ -14,91 +13,32 @@ ## Level(2) ## MO(1) ## TitleText1('Pre-Algebra') -## AuthorText1('') -## EditionText1('') -## Section1('.') -## Problem1('') ## KEYWORDS('prealgebra','common core') -######################################################################## - -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "problemRandomize.pl", - "PGcourse.pl" -); - -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); - -# Allow for the user to try another version of the problem once they get it correct. -ProblemRandomize(when=>"Correct",onlyAfterDue=>0); +DOCUMENT(); -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -############################################################## -# -# Setup -# -# +Context('LimitedNumeric'); +@data = map { random(10, 200, 5) } (1 .. 5); -Context()->variables->add(a => "Real"); +($sum) = stats_SX_SXX(@data); -$a = random(10,200,5); -$b = random(10,200,5); -$c = random(10,200,5); -$d = random(10,200,5); -$e = random(10,200,5); -$ans1 = Compute("($a+$b+$c+$d+$e)"); -$ans2 = Compute("($a+$b+$c+$d+$e)/5"); - -############################################################## -# -# Text -# -# - -## to disable arithmetic operations in the answer. Student must simplify. -Context()->operators->undefine("+","-","*","/"); - -BEGIN_TEXT +BEGIN_PGML The following deposits were made into a bank account last month: -$BCENTER -$DOLLAR$a -$BR -$DOLLAR$b -$BR -$DOLLAR$c -$BR -$DOLLAR$d -$BR -$DOLLAR$e -$ECENTER -$PAR -The total of all deposits = \{ans_rule(10)\} -$PAR -The average amount of the deposits = \{ans_rule(10)\} -$BR -END_TEXT - -Context("Numeric"); +[@ join(', ', map { "\$$_"} @data) @] -Context()->normalStrings; +a) The total of all deposits = $[_]{Real($sum)}{10} -############################################################## -# -# Answers -# -# +b) The average amount of the deposits = $[_]{Real($sum/5)}{10} +END_PGML -ANS($ans1->cmp); -ANS($ans2->cmp); +BEGIN_PGML_SOLUTION +a) The total of the deposits is the sum or $[$sum]. +b) The average of the depositis is [`` \frac{[$sum]}{5} = $[@ $sum/5 @] ``] +END_PGML_SOLUTION -ENDDOCUMENT(); $BR +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode01.pg b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode01.pg index 5e23cd623f..aa6256dc38 100644 --- a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode01.pg +++ b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode01.pg @@ -2,7 +2,6 @@ ## Middle School problem: ##ENDDESCRIPTION - ## ProblemTester('Laura Travis') ## Publisher('Prentice Hall') ## DBsubject(Statistics) @@ -20,89 +19,41 @@ ## Problem1('') ## KEYWORDS('prealgebra','common core','mean','median','mode') -######################################################################## - -DOCUMENT(); - -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "problemRandomize.pl", - "PGnauStats.pl", - "PGcourse.pl" -); - -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); - -# Allow for the user to try another version of the problem once they get it correct. -ProblemRandomize(when=>"Correct",onlyAfterDue=>0); +DOCUMENT(); -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -############################################################## -# -# Setup -# -# +$N = random(15, 20); -$count = random(15,20,1); -for ($i = 0; $i < $count; $i++){ - push @data, random(1,9,1); -} -@data_sorted = lex_sort(@data); +@data = map { random(1, 9) } (1 .. $N); -$displaysorted = ""; -$sum = 0; -for ($i = 0; $i < $count; $i++){ - $sum = $sum + $data[$i]; - $displaysorted = $displaysorted . $data_sorted[$i] . " "; - -} - -$mean = $sum/$count; -$median = Median(@data); +@sdata = num_sort(@data); -############################################################## -# -# Text -# -# +$mean = stats_mean(@data); +$median = + $N % 2 == 0 + ? 0.5 * ($sdata[ $N / 2 ] + $sdata[ $N / 2 + 1 ]) + : $sdata[ 0.5 * ($N + 1) ]; -BEGIN_TEXT +BEGIN_PGML -Your teacher is trying to encourage her students to read more books. For the current 9-weeks period, student in her class read the following (sorted) numbers of books: +Your teacher is trying to encourage her students to read more books. For the current 9-weeks period, a student in her class read the following numbers of books: -$PAR -$BCENTER -$displaysorted -$ECENTER -$PAR +[``` [@ join(', ', @sdata) @] ```] -For this data, the mean number of books read is \{ans_rule(10)\} and -the median number read is \{ans_rule(10)\} -$PAR -Express answers that are not integers to two decimal places. -$PAR +a) The mean number of books read is [_]{$mean}{10} +b) The median number of books read is [_]{$median}{10} -END_TEXT +**Express answers that are not integers to two decimal places.** -Context("Numeric"); -Context()->flags->set( - tolerance => 0.005, - tolType => "absolute", -); +END_PGML -############################################################## -# -# Answers -# -# - - -ANS( Compute("$mean")->cmp); -ANS( Compute("$median")->cmp); +$sum = 0; +$sum += $_ for (@data); +BEGIN_PGML_SOLUTION +a) The sum of the number of books is [$sum]. The average number of books is the [`` \frac{[$sum]}{[$N]} = [$mean] ``] +b) Since the number of points is [@ $N %2 == 0 ? 'even' : 'odd' @], the median is the [@ $N % 2 == 0 ? 'average of the middle two numbers' : 'middle number' @] or [$median]. +END_PGML_SOLUTION -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode02.pg b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode02.pg index 82a957518f..b56c976863 100644 --- a/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode02.pg +++ b/OpenProblemLibrary/MC/PreAlgebra/setPreAlgebraC03S03/MeanMedianMode02.pg @@ -19,15 +19,9 @@ ## Problem1('') ## KEYWORDS('prealgebra','common core','mean','median','mode') -######################################################################## - DOCUMENT(); -loadMacros( - 'PGstandard.pl', 'PGML.pl', - 'PGstatisticsmacros.pl', 'niceTables.pl', - 'PGcourse.pl' -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); Context('Numeric')->flags->set( tolerance => 0.005, @@ -35,14 +29,14 @@ Context('Numeric')->flags->set( ); $count = random(8, 11); -push(@data, random(50, 70)) for (0 .. $count - 1); +push(@data, random(50, 70)) for (1 .. $count); # Not technically correct but highly likely to made the $mode the mode $mode = random(50, 70); push(@data, $mode) for (0 .. 4); -$count = $count + 5; +$count += 5; -@data_sorted = lex_sort(@data); +@data_sorted = num_sort(@data); $displaysorted = ""; $sum = 0; @@ -51,21 +45,26 @@ $sum += $_ for (@data); $mean = $sum / $count; ($min, $q1, $median, $q3, $max) = five_point_summary(@data); -$tab = DataTable([ [@data_sorted] ]); - BEGIN_PGML Your school basketball team posted the following (sorted) scores in [$count] recent games: -[$tab]* +[```[@ join(" ,", @data_sorted) @] ```] -- The average game score is [_]{Real($mean)}{10} -- The median score is [_]{Real($median)}{10}. -- The modal score is [_]{Real($mode)}{10}. +a) The average game score is [_]{Real($mean)}{10} +b) The median score is [_]{Real($median)}{10}. +c) The modal score is [_]{Real($mode)}{10}. -Express answers that are not integers to two decimal places. +**Express answers that are not integers to two decimal places.** END_PGML +BEGIN_PGML_SOLUTION +a) The total sum of all of the scores is [$sum]. Therefore the average score is [`` \frac{[$sum]}{[$count]} = [$mean] ``] +b) Since the number of games is [@ $count % 2 == 0 ? 'even' : 'odd' @], the median is the +[@ $count % 2 == 0 ? 'the average of the middle two values' : 'middle' @] or [$median]. +c) The modal score is the score with the most values or [$mode]. +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Michigan/Chap1Sec1/Q29.pg b/OpenProblemLibrary/Michigan/Chap1Sec1/Q29.pg index 2ed8715d2c..ec6d6d7019 100644 --- a/OpenProblemLibrary/Michigan/Chap1Sec1/Q29.pg +++ b/OpenProblemLibrary/Michigan/Chap1Sec1/Q29.pg @@ -1,8 +1,6 @@ -# DESCRIPTION -# Problem from Calculus, single variable, Hughes-Hallett et al., 4th ed. -# WeBWorK problem written by Aaron Wooton, -# rewritten by Gavin LaRose, 10/2008 - +## DESCRIPTION +## Problem from Calculus, single variable, Hughes-Hallett et al., 4th ed. +## ENDDESCRIPTION ## Tagged by glr 10/17/08 ## Author('Gavin LaRose'); @@ -43,128 +41,78 @@ ## Textbook tags ## HHChapter('A Library of Functions') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "hhAdditionalMacros.pl", - "PGcourse.pl" -); +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); Context("Numeric"); -Context()->variables->add(w=>"Real"); - -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +Context()->variables->add(w => "Real"); -## set the base cost and slope, then calculate the values for the -## two points we give -$b = random(20,80,5); -$m = random(2,20,2); +## set the base cost and slope, then calculate the values for the two points we give +$b = random(20, 80, 5); +$m = random(2, 20, 2); $w1 = 100; -$c1 = $b + $m*$w1; -$w2 = $w1 + random(20,80,5); -$c2 = $b + $m*$w2; +$c1 = $b + $m * $w1; +$w2 = $w1 + random(20, 80, 5); +$c2 = $b + $m * $w2; -$ans1 = Compute("$m*w + $b"); +$linear_model = Compute("$m*w + $b"); -$slopeunits = new_multiple_choice(); -$slopeunits->qa('Think about the interpretation of the slope: are the ' . - 'units of the slope', 'dollars per kilogram'); -$slopeunits->extra('dollars', 'kilograms', 'kilograms per dollar'); +@opts = + ('dollars', 'dollars per kilogram', 'kilograms', 'kilograms per dollar'); -$interunits = new_multiple_choice(); -$interunits->qa('Think about the interpretation of the intercept: are the ' . - 'units of the intercept', 'dollars'); -$interunits->extra('kilograms', 'dollars per kilogram', - 'kilograms per dollar'); +$slope_dd = DropDown(~~@opts, 1); +$intercept_dd = DropDown(~~@opts, 0); -BEGIN_TEXT +BEGIN_PGML -The monthly charge for a waste collection service is $c1 dollars -for $w1 kg of waste and $c2 dollars for $w2 kg of waste. +The monthly charge for a waste collection service is [$c1] dollars +for [$w1] kg of waste and [$c2] dollars for [$w2] kg of waste. -$PAR -${BBOLD}(a)$EBOLD -Find a linear model for the cost, \(C\), of waste collection as a -function of the number of kilograms, \(w\). +a) Find a linear model for the cost, [`C`], of waste collection as a function of the number of kilograms, [`w`]. -$PAR + [` C= `] [_]{$linear_model} -\( C= \) \{ans_rule(35) \} +b) What is the slope of the line found in part (a)? -$PAR -${BBOLD}(b)$EBOLD -What is the slope of the line found in part (a)? + Slope = [_]{Real($m)} -$PAR -Slope = \{ans_rule(35) \} + What are the units of the slope? [_]{$slope_dd} -$PAR -\{ $slopeunits->print_q() \} -$BR -\{ $slopeunits->print_a() \} - -$PAR -${BBOLD}(c)$EBOLD -What is the value of the vertical intercept of the line found in +c) What is the value of the vertical intercept of the line found in part (a)? -$PAR -Value= \{ans_rule(35) \} - -$PAR -\{ $interunits->print_q() \} -$BR -\{ $interunits->print_a() \} + Value= [_]{Real($b)} -END_TEXT + The units of the intercept can be interpreted as [_]{$intercept_dd} -ANS($ans1->cmp() ); -ANS(Compute("$m")->cmp() ); -ANS(radio_cmp( $slopeunits->correct_ans() )); -ANS(Compute("$b")->cmp() ); -ANS(radio_cmp( $interunits->correct_ans() )); +END_PGML $dw = $w2 - $w1; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR SOLUTION $PAR -${BBOLD}(a)$EBOLD -We find the slope \(m\) and intercept \(b\) in the linear equation -\(C = b + m w\). To find the slope \(m\), we use +BEGIN_PGML_SOLUTION +a) We find the slope [`m`] and intercept [`b`] in the linear equation +[`C = b + m w`]. To find the slope [`m`], we use -$PAR -\(m=\frac{\Delta C}{\Delta w} =\frac{$c2-$c1}{$w2-$w1}=$m\). +[```m=\frac{\Delta C}{\Delta w} =\frac{[$c2]-[$c1]}{[$w2]-[$w1]}=[$m]```]. -$PAR We substitute to find b: -$PAR -\($c2 = b + ($m)($dw) \) -$PAR -so that \(b = $b\). -$PAR -The linear formula is \(C = $m w + $b\). +[```[$c2] = b + ([$m])([$dw]) ```] + +so that [`b = [$b]`]. -$PAR -${BBOLD}(b)$EBOLD -The slope is \($m\) dollars per kilogram. Each additional kilogram -of waste costs \($m\) dollars. +The linear formula is [`C = [$m] w + [$b]`]. -$PAR -${BBOLD}(c)$EBOLD -The intercept is \($b\) dollars. The flat monthly fee to subscribe -to the waste collection is \($b\) dollars, even if there is no waste. -END_SOLUTION +b) The slope is [`[$m]`] dollars per kilogram. Each additional kilogram +of waste costs [`[$m]`] dollars. +c) The intercept is [`[$b]`] dollars. The flat monthly fee to subscribe +to the waste collection is [`[$b]`] dollars, even if there is no waste. +END_PGML_SOLUTION -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Michigan/Chap1Sec1/perltidy.ERR b/OpenProblemLibrary/Michigan/Chap1Sec1/perltidy.ERR new file mode 100644 index 0000000000..0b65a0c585 --- /dev/null +++ b/OpenProblemLibrary/Michigan/Chap1Sec1/perltidy.ERR @@ -0,0 +1,54 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +There is no previous '(' to match a ')' on line 78 +78: a) Find a linear model for the cost, [`C`], of waste collection ... + ^ + +78: a) Find a linear model for the cost, [`C`], of waste collection ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 82 +82: b) What is the slope of the line found in part (a)? + ^ + +82: b) What is the slope of the line found in part (a)? + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 88 +88: c) What is the value of the vertical intercept of the line found in + ^ + +88: c) What is the value of the vertical intercept of the line found in + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 100 +100: a) We find the slope [`m`] and intercept [`b`] in the linear equ ... + ^ + +100: a) We find the slope [`m`] and intercept [`b`] in the linear equ ... + - ^ +found bareword where operator expected (previous token underlined) + +103: [```m=\frac{\Delta C}{\Delta w} =\frac{[$c2]-[$c1]}{[$w2]-[$w1]} ... + --^ +found String where operator expected (previous token underlined) + +103: ... frac{[$c2]-[$c1]}{[$w2]-[$w1]}=[$m]```]. + ----------------------------------------^ +found String where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 114 +114: b) The slope is [`[$m]`] dollars per kilogram. Each additional k ... + ^ + +There is no previous '(' to match a ')' on line 117 +117: c) The intercept is [`[$b]`] dollars. The flat monthly fee to su ... + ^ +122: final indentation level: 1 + +No further warnings will be given diff --git a/OpenProblemLibrary/Mizzou/Algebra/eqns_linear/linear_eqns_02.pg b/OpenProblemLibrary/Mizzou/Algebra/eqns_linear/linear_eqns_02.pg index 4d0a35f977..2e53cd9f2f 100644 --- a/OpenProblemLibrary/Mizzou/Algebra/eqns_linear/linear_eqns_02.pg +++ b/OpenProblemLibrary/Mizzou/Algebra/eqns_linear/linear_eqns_02.pg @@ -1,5 +1,5 @@ # DESCRIPTION -# Solve a linear equation of the form a(x + b) = cx + d, where b,d are positive +# Solve a linear equation of the form a(x + b) = cx + d, where b,d are positive # integers and a,c are possibly negative. # ENDDESCRIPTION @@ -16,57 +16,63 @@ ## Status(R) ## KEYWORDS('linear', 'equations') +## Updated 2025.02 by Peter Staab, switch to PGML and add solution + +# initialization -########################################################################### -# initialization -########################################################################### DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextFraction.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +Context("LimitedFraction") + ->flags->set(showMixedNumbers => 0, allowMixedNumbers => 0); +Context()->strings->add( + "no solutions" => {}, + "infinitely many" => {}, + "no solution" => { alias => "no solutions" }, + "none" => { alias => "no solutions" }, + "all reals" => { alias => "infinitely many" } +); +Context()->variables->are(x => "Real", X => "Real"); +$a = random(-1, 1, 2) * random(2, 10); +$b = random( 2, 10); +do { $c = random(-1, 1) * random(2, 10) } until ($a * $c < 0); +$d = random(2, 10); -########################################################################### -# setup contexts and variables -########################################################################### -Context("LimitedFraction")->flags->set(showMixedNumbers => 0, allowMixedNumbers => 0); -Context()->strings->add("no solutions"=>{}, "infinitely many"=>{}, "no solution"=>{alias=>"no solutions"}, "none"=>{alias=>"no solutions"}, "all reals"=>{alias=>"infinitely many"}); -Context()->variables->are(x=>"Real", X=>"Real"); +$eqn = "$a (x + $b) = $c x + $d"; -$a = random(-1,1,2)*random(2,10,1); -$b = random(2,10,1); -do {$c = random(-1,1)*random(2,10,1)} until ($a*$c < 0); -$d = random(2,10,1); +$num = $d - $a * $b; +$den = $a - $c; +$x = Fraction($num, $den); -$eqn = "$a (x + $b) = $c x + $d"; +# state the problem -$num = $d - $a*$b; -$den = $a - $c; -$answer = Fraction($num,$den); +BEGIN_PGML +Solve the equation for [`x`]: + [``` [$eqn] ```] +[` x = `] [_]{$x} +END_PGML -########################################################################### -# state the problem -########################################################################### -Context()->texStrings; -BEGIN_TEXT -Solve the equation for \(x\): -$PAR \[ $eqn \] $PAR -\( x = \) \{ ans_rule(20) \} -END_TEXT -Context()->normalStrings; +$expl1 = ( $a*$b <0 ? 'Add ' : 'Subtract ') . abs($a*$b) . + ( $a*$b < 0 ? ' to ' : ' from ') . 'both sides.'; +$expr2 = ($c < 0 ? 'Add ' : 'Subtract') . abs($c) . '\(x\)' . + ( $c < 0 ? ' to ' : ' from ') . 'both sides.'; -########################################################################### -# check the answer -########################################################################### -ANS($answer->cmp(studentsMustReduceFractions=>1)); +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +[$a] (x + [$b]) & = [$c] x + [$d] \qquad \qquad \text{distribute the left side,}\\ +[$a] x + [@ $a*$b @] & = [$c] x + [$d] \qquad\qquad\text{[$expl1]} \\ +[$a] x & = [$c] x + [@$d-$a*$b @] \qquad \qquad\text{[$expr2]} \\ +[@ $a-$c @] x & = [@ $d-$a*$b @] \qquad\qquad\text{Divide by [@ $a-$c @]} \\ +x & = [$x] +\end{aligned} +```] +END_PGML_SOLUTION -COMMENT('Desc: Solve a linear equation of the form a(x + b) = cx + d, where b,d are positive integers and a,c are possibly negative.'); +COMMENT( + 'Desc: Solve a linear equation of the form a(x + b) = cx + d, where b,d are positive integers and a,c are possibly negative.' +); ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Mizzou/Algebra/graph_basics/determine_intercepts_01.pg b/OpenProblemLibrary/Mizzou/Algebra/graph_basics/determine_intercepts_01.pg index 05c501bd25..8bc67a59d9 100644 --- a/OpenProblemLibrary/Mizzou/Algebra/graph_basics/determine_intercepts_01.pg +++ b/OpenProblemLibrary/Mizzou/Algebra/graph_basics/determine_intercepts_01.pg @@ -11,102 +11,56 @@ ## Level(2) ## KEYWORDS('x-intercepts', 'y-intercepts', 'lines') +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution -########################################################################### -# initialization -########################################################################### -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextFraction.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -$refreshCachedImages = 1; -$showPartialCorrectAnswers = 1; +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -########################################################################### -# setup contexts and variables -########################################################################### Context("LimitedFraction"); $A = non_zero_random(-20,20); $B = non_zero_random(-20,20); $C = non_zero_random(-20,20); -$line = "$A x + $B y = $C"; -if ($A < 0) { - $tmp1 = -$A; - $tmp2 = -$C; - $xint = Compute("$tmp2/$tmp1"); - $Adisp = -$A/gcd($A,$C); - $CAdisp = -$C/gcd($A,$C); -} else { - $xint = Compute("$C/$A"); - $Adisp = $A/gcd($A,$C); - $CAdisp = $C/gcd($A,$C); -} -if ($B < 0) { - $tmp3 = -$B; - $tmp4 = -$C; - $yint = Compute("$tmp4/$tmp3"); - $Bdisp = -$B/gcd($B,$C); - $CBdisp = -$C/gcd($B,$C); -} else { - $yint = Compute("$C/$B"); - $Bdisp = $B/gcd($B,$C); - $CBdisp = $C/gcd($B,$C); -} - -$dispx = "\left("; -if ($Adisp == 1) { - $dispx = ($dispx).($CAdisp).", 0 \right)"; -} else { - if ($CAdisp < 0) { - $tmp5 = -$CAdisp; - $dispx = ($dispx)."-\frac{$tmp5}{$Adisp}, 0 \right) "; - } else { - $dispx = ($dispx)."\frac{$CAdisp}{$Adisp}, 0 \right) "; - } -} - -$dispy = "\left(0, "; -if ($Bdisp == 1) { - $dispy = ($dispy).($CBdisp)." \right)"; -} else { - if ($CBdisp < 0) { - $tmp6 = -$CBdisp; - $dispy = ($dispy)."-\frac{$tmp6}{$Bdisp} \right)"; - } else { - $dispy = ($dispy)."\frac{$CBdisp}{$Bdisp} \right)"; - } -} - - -########################################################################### -# state the problem -########################################################################### -Context()->texStrings; -BEGIN_TEXT -Find the \(x\)-intercept and \(y\)-intercept of the line: \( $line \) - -$PAR -\(x\)-intercept: \(\big(\) \{ans_rule(5)\} , \{ans_rule(5)\} \(\big)\) -$BR -\(y\)-intercept: \(\big(\) \{ans_rule(5)\} , \{ans_rule(5)\} \(\big)\) -END_TEXT - - -########################################################################### -# check the answer -########################################################################### -ANS($xint->cmp()); -ANS(Compute("0")->cmp()); -ANS(Compute("0")->cmp()); -ANS($yint->cmp()); - -Context()->normalStrings; + +$x0 = Fraction($C,$A); +$y0 = Fraction($C,$B); + +Context(context::Fraction::extending("Point")); +$xint = Point($x0,0); +$yint = Point(0,$y0); + +BEGIN_PGML +Find the [`x`]-intercept and [`y`]-intercept of the line: [` [$A]x+[$B]y=[$C] `] + +a) [`x`]-intercept: [_]{$xint} + +b) [`y`]-intercept: [_]{$yint} +END_PGML + +BEGIN_PGML_SOLUTION +a) The [`x`]-intercept is where the line crosses the [`x`]-axis or when [`y=0`]. Set this in the equation and solve for [`x`]. + [``` + \begin{aligned} + [$A] x + 0 & = [$C] \\ + x & = \frac{[$C]}{[$A]} + \end{aligned} + ```] + + Thus the [`x`]-intercept is [``[$xint]``]. + +b) The [`y`]-intercept is where the line crosses the [`y`]-axis or when [`x=0`]. Set this in the equation and solve for [`y`]. + [``` + \begin{aligned} + 0 + [$B] y & = [$C] \\ + y & = \frac{[$C]}{[$B]} + \end{aligned} + ```] + + Thus the [`y`]-intercept is [``[$yint]``]. + + +END_PGML_SOLUTION + COMMENT('determine intercepts of a linear function'); -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/linear_sales_game_system_01.pg b/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/linear_sales_game_system_01.pg index 80a2bf2528..463c10adfd 100644 --- a/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/linear_sales_game_system_01.pg +++ b/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/linear_sales_game_system_01.pg @@ -1,107 +1,99 @@ -# DESCRIPTION -# A certain company is selling game systems. The student must -# determine the linear sales function given two points. They must -# also figure out the domain of this function and find the value -# of a random point. -# ENDDESCRIPTION - +##DESCRIPTION +# Develop a linear model for pricing of gasoline and use it to determine how to maximize revenue. +##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) ## DBsection(Applications and models) -## Institution(University of Missouri-Columbia) -## Author(Patrick Spencer) -## Level(2) -## KEYWORDS('problem solving', 'linear', 'equations') - +## Institution(NAU) +## Author(N.Spencer Sitton) +## MLT(LineFromPoints) +## Level(3) +## KEYWORDS('word problem','revenue') -################################################################# -# initialization -################################################################# +# File Created: 06/20/05 +# Location: Northern Arizona University +# Course:Quantitative Reasoning DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); +do { + $total1 = random(800, 1600, 100); + $total2 = random(800, 1600, 100); +} until ($total1 > $total2); -################################################################# -# setup contexts and variables -################################################################# +do { + $price1 = random(2.05, 2.95, .05); + $price2 = random(2.05, 2.95, .05); + $newprice = random(2.05, 2.95, .05); +} until ($price1 > $newprice && $newprice > $price2); -$yint_base = random(1,4); -$yint = $yint_base*50; do { - $domep_base = random(2,7); -} until ( - gcd($yint_base,$domep_base)==1 -); -# domep = domain right endpoint -# we want x1 < x2 < x3 < domep -$domep = $domep_base*5*10; -$x3 = $domep_base*5*random(7,9); -$x2 = $domep_base*5*random(4,6); -$x1 = $domep_base*5*random(2,3); - -$slope = -$yint/$domep; -$disp_slope = "-\frac{$yint_base}{$domep_base}"; -$disp_eq = "$disp_slope x+$yint"; - -# x3 is the x value we ask students to plug into the problem -$rand = $domep_base*5*random(2,7); -$p1 = $slope*$x1+$yint; -$p2 = $slope*$x2+$yint; - -Context("Numeric"); -$eq = Compute("$slope*x+$yint"); - -Context("Interval"); -$domain = Interval([0,$domep]); - - -Context("Numeric"); -$p3 = Compute("$slope*$x3+$yint"); - -################################################################# -# state the problem -################################################################# - -Context()->texStrings; -BEGIN_TEXT -A local retailer has determined that the number \(x\) of PortaBoy -game systems sold in a week is related to the price \(p\) in -dollars of each system. \($x1\) game -systems were sold when the price was $\($p1\). When the systems went on sale the following -week, \($x2\) systems were sold at $\($p2\) a piece. -$PAR -(a) Find a linear function which fits this data. Use the weekly -sales \(x\) as the independent variable and the price \(p\) as -the dependent variable. $PAR -Answer: \(p(x) = \)\{ans_rule(25)\} -$PAR -(b) Find a suitable applied domain: \{ans_rule(25)\} -$PAR -(c) If the retailer wants to sell \($x3\) PortaBoys next week, -what should the price be?$PAR -Answer: \(p=\) \{ans_rule(25)\} dollars -END_TEXT - - -################################################################# -# check the answer -################################################################# - -ANS($eq->cmp()); -ANS($domain->cmp()); -ANS($p3->cmp()); - - - -COMMENT('Slope will always be a nice fraction. The y-intercept is always - a multiple of 50 as is the right domain endpoint. Random x - values will always be multiples the denominator of slope and 5.'); + $total3 = random(800, 1600, 100); +} until ($total1 != $total3 || $total2 != $total3); + +$slope = ($price2 - $price1) / ($total1 - $total2); +$yint = $price2 - ($slope * $total1); + +$ans1 = ($newprice - $yint) / ($slope); +$ans2 = $slope * $total3 + $yint; + +$rev1 = ($price2) * ($total1); +$rev2 = ($price1) * ($total2); +$rev3 = ($newprice) * ($ans1); +$rev4 = ($ans2) * ($total3); + +$max = max($rev1, $rev2, $rev3, $rev4); + +if ($max == $rev1) { $ans3 = $price2 } +elsif ($max == $rev2) { $ans3 = $price1 } +elsif ($max == $rev3) { $ans3 = $newprice } +elsif ($max == $rev4) { $ans3 = $ans2 } + +$cval = (-$yint) / (2 * $slope); + +$ans4 = ($slope * $cval) + $yint; + +sub printPrice { sprintf("%.2f", shift); } + +$pp1 = printPrice($price1); +$pp2 = printPrice($price2); +$npp = printPrice($newprice); + +BEGIN_PGML +A gas station sells [$total1] gallons of gasoline per hour if it charges $[$pp2] per gallon but only [$total2] gallons per hour if it charges $[$pp1] per gallon. Assuming a linear model + + +a) How many gallons would be sold per hour of the price is $[$npp] per gallon? + + [_]{$ans1} + +b) What must the gasoline price be in order to sell [$total3] gallons per hour? + + $[_]{$ans2} + +c) Compute the revenue taken at the four prices mentioned in this problem -- $[$pp2], $[$npp], $[$pp1] and your answer to part (b). Which price gives the most revenue? + + $[_]{$ans3} + +d) What is the price that the gas station should charge to maximize revenue? + + $[_]{$ans2} +END_PGML + +BEGIN_PGML_SOLUTION +We need to find the linear model, which we will write at +[``` G(x) = m x + b ```] +where [`x`] will be the price of the gasoline and [`G(x)`] will be total number of gallons per hour gasoline is sold. + +The problem gives two points [`([$pp2],[$total1])`] and [`([$pp1],[$total2])`]. We'll use these to find the slope with +[``` m= \frac{g_2 - g_1}{p_2 - p_1} = \frac{[$total2]-[$total1]}{[$pp2]-[$pp1]} = [$slope] ```] +We will use this slope and the point [`([$pp2],[$total1])`] in the model as +[``` [$total1] = [$slope] \cdot [$pp2] + b ```] +and solving for [`b`] results in [` b= [$yint] `] resulting in the model +[``` G(x) = [$slope] x + [$yint] ```] + +a) To find this answer, we'll subsitute in $[$npp] into the model or [` G([$npp]) = [$slope]\cdot [$npp] + [$yint] = [$ans1] `] +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/perltidy.ERR b/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/perltidy.ERR new file mode 100644 index 0000000000..21a1b9dc18 --- /dev/null +++ b/OpenProblemLibrary/Mizzou/Algebra/linear_functions_apps/perltidy.ERR @@ -0,0 +1,54 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +There is no previous '[' to match a ']' on line 66 +66: ... soline per hour if it charges $[$pp2] per gallon but only [$tota ... + ^ + +66: ... line per hour if it charges $[$pp2] per gallon but only [$total2 ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '[' to match a ']' on line 66 +66: ... allons per hour if it charges $[$pp1] per gallon. Assuming a lin ... + ^ + +66: ... lons per hour if it charges $[$pp1] per gallon. Assuming a linea ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 69 +69: a) How many gallons would be sold per hour of the price is $[$np ... + ^ + +69: a) How many gallons would be sold per hour of the price is $[$np ... + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '[' to match a ']' on line 69 +69: ... sold per hour of the price is $[$npp] per gallon? + ^ + +69: ... ld per hour of the price is $[$npp] per gallon? + - ^ +found bareword where operator expected (previous token underlined) + +There is no previous '(' to match a ')' on line 73 +73: b) What must the gasoline price be in order to sell [$total3] ga ... + ^ + +73: b) What must the gasoline price be in order to sell [$total3] ga ... + - ^ +found bareword where operator expected (previous token underlined) + +75: $[_]{$ans2} + --^ +found bareword where operator expected (previous token underlined) + +There is no previous '[' to match a ']' on line 75 +75: $[_]{$ans2} + ^ + +Missing ';' or ',' above? +No further warnings will be given diff --git a/OpenProblemLibrary/Mizzou/Algebra/linear_functions_slope/find_slope_given_line_01.pg b/OpenProblemLibrary/Mizzou/Algebra/linear_functions_slope/find_slope_given_line_01.pg index d5877d7a12..e6db9cfc66 100644 --- a/OpenProblemLibrary/Mizzou/Algebra/linear_functions_slope/find_slope_given_line_01.pg +++ b/OpenProblemLibrary/Mizzou/Algebra/linear_functions_slope/find_slope_given_line_01.pg @@ -2,7 +2,6 @@ ## Lines: Slope ##ENDDESCRIPTION - ## BookTitle('Basic Algebra') ## Author1('David Covert') ## Author2('Teri Christiansen') @@ -17,50 +16,56 @@ ## AuthorText1('Beecher, Penna, Bittinger') ## EditionText1('4') ## Section1('1.2') -## Problem1('') ## KEYWORDS('lines', 'slope') - - -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextFraction.pl", - "AnswerFormatHelp.pl", - "PGchoicemacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'contextFraction.pl', 'parserRadioMultiAnswer.pl', + 'PGcourse.pl' ); -TEXT(beginproblem()); +Context("Fraction-NoDecimals")->flags(studentsMustReduceFractions => 1); + +$a = random(-1, 1, 2) * random(2, 10); +$b = random(-1, 1, 2) * random(2, 5); +$c = random(-1, 1, 2) * random(1, 50); -$showPartialCorrectAnswers = 1; +$m = Fraction(-$a, $b); -Context()->variables->add(y=>"Real"); +# ANS( Compute($m) -> cmp(studentsMustReduceFractions=>1) ); -$a = random(-1,1,2)*random(2,10,1); -$b = random(-1,1,2)* random(2,5,1); -$c = random(-1,1,2)*random(1,50,1); +$line = " $a x + $b y = $c"; +$rma = RadioMultiAnswer( + [ ['The slope is undefined.'], [ 'The slope is \(m = \) %s', $m ] ], + 1); -Context("Fraction-NoDecimals"); -$m = Fraction(-$a,$b); -ANS( Compute($m) -> cmp(studentsMustReduceFractions=>1) ); +BEGIN_PGML +Find the slope of the line [`[$line]`] if it exists or write *undefined* if the slope is undefined. You must reduce your answer completely. +[_]{$rma} +END_PGML -$line = " $a x + $b y = $c"; +$rhs1 = Formula("$c-$a x")->reduce; +$rhs2 = $rhs1 / $b; +$rhs3 = Formula("$c/$b - $a/$b *x ")->reduce; + +BEGIN_PGML_SOLUTION +Put the equation into slope-intercept form. Start with the equation +[``` [$line] ```] + +[@ $a <0 ? PGML('Then add [`[@-$a@]x`] to both sides.') : PGML('Then subtract [`[$a] x`] from both sides.') @]* +[``` [$b] y = [$rhs1] ```] -Context()->strings->add("undefined"=>{}); +Divide through by [`[$b]`] to get -Context()->texStrings; +[``` y = [$rhs2] = [$rhs3] ```] -BEGIN_TEXT -Find the slope of the line \($line\) if it exists or write ${BBOLD}undefined${EBOLD} if the slope is undefined. You must reduce your answer completely. -$PAR -\(m = \) \{ans_rule(10)\} -END_TEXT +and the slope is the coefficient of the [`x`] term or [` m = [$m] `]. +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. diff --git a/OpenProblemLibrary/Mizzou/Finite_Math/Compound_Interest/ComputePrincipal2.pg b/OpenProblemLibrary/Mizzou/Finite_Math/Compound_Interest/ComputePrincipal2.pg index 8bda691e0c..6f917f2605 100644 --- a/OpenProblemLibrary/Mizzou/Finite_Math/Compound_Interest/ComputePrincipal2.pg +++ b/OpenProblemLibrary/Mizzou/Finite_Math/Compound_Interest/ComputePrincipal2.pg @@ -2,7 +2,6 @@ ## Compound Interest: Compute Principal ##ENDDESCRIPTION - ## Author1('David Covert') ## Author2('Jason Aubrey') ## DBsubject(Financial mathematics) @@ -14,107 +13,49 @@ ## KEYWORDS('financial mathematics', 'compound interest') ## MO(1) -######################################################################## +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution -DOCUMENT(); +DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "contextCurrency.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'randomPerson.pl', 'contextCurrency.pl', + 'PGcourse.pl' ); -# Print problem number and point value (weight) for the problem -TEXT(beginproblem()); - -# Show which answers are correct and which ones are incorrect -$showPartialCorrectAnswers = 1; - -############################################################## -# -# Setup -# -# - -Context("Numeric"); - -$Amount = random(1200,1800,10); -$Principal = random(400,4000,0.01); -$annual_interest_rate = random(5,9,0.001); -$time = random(6,11,1); -$time1 = random(2,5,1); -$time2 = random(9,12,1); -$compoundings_per_year = list_random(12,52,365); -$periodic_interest_rate = $annual_interest_rate/(100*$compoundings_per_year); -$number_of_compoundings = $compoundings_per_year*$time; -$number_of_compoundings1 = $compoundings_per_year*$time1; -$number_of_compoundings2 = $compoundings_per_year*$time2; -$e = Real("e"); -$answer = $Amount*(1 + $annual_interest_rate/1200)**(-$time); - -if ($compoundings_per_year == 1){ -$periodically = yearly; -$periods = years;} -elsif ($compoundings_per_year == 2){ -$periodically = semiannually; -$periods = periods;} -elsif ($compoundings_per_year == 4){ -$periodically = quarterly; -$periods = quarters;} -elsif ($compoundings_per_year == 12){ -$periodically = monthly; -$periods = months;} -elsif ($compoundings_per_year == 52){ -$periodically = weekly; -$periods = weeks;} -elsif ($compoundings_per_year == 365){ -$periodically = daily; -$periods = days;} - -$case = random(1,2,1); - -if($case == 1){ -$pronoun1 = his; -$pronoun2 = he;} -elsif($case == 2){ -$pronoun1 = her; -$pronoun2 = she; -} - Context("Currency"); -$Amount = Currency($Amount); -$Principal = Currency($Principal); -$answer = Currency($answer); - -############################################################## -# -# Text -# - -Context()->texStrings; -BEGIN_TEXT +$Amount = Currency(random(1200, 1800, 10)); +$apr = random(5, 9, 0.001); +$t = random(2,5); # years +$k = list_random(4, 12, 52); # compounding periods +$i = $apr / (100 * $k); # periodic interest rate +$n = $t * $k; # number of compounding periods. -In \($time\) months, Alex will need \($Amount\) to pay $pronoun1 college tuition. How much does $pronoun2 need to invest today into an account earning an an interest rate of \($annual_interest_rate $PERCENT\) compounded monthly, so that $pronoun2 has enough money to pay $pronoun1 tuition? +$invest_amt = $Amount * (1 + $i)**(-$n); +($periodically, $periods) = + $k == 4 ? ('quarterly', 'quarters') + : $k == 12 ? ('monthly', 'months') + : ('weekly', 'weeks'); +$p = randomPerson(); -$PAR -The amount Alex needs to invest is \{ANS_RULE(10)\}. -$PAR +BEGIN_PGML -(${BBOLD}Note: $EBOLD Your answers should include a dollar sign and be accurate to two decimal places) +In [$t] years, [$p] will need [$Amount] to pay [$p->their] college tuition. How much [$p->do] [$p->they] need to invest today into an account earning an an interest rate of [`[$apr]`]% compounded [$periodically], so that [$p->they] [$p->have] enough money to pay [$p->their] tuition? -END_TEXT -Context()->normalStrings; +The amount [$p] needs to invest is [_]{$invest_amt} +(*Note:* Your answers should include a dollar sign and be accurate to two decimal places) -######################################################## -# -# Answers -# -# +END_PGML -ANS($answer->with(tolerance=>.05)->cmp); +BEGIN_PGML_SOLUTION +In this case, we will use the future value of compound interest: +[```P_t = P (1+i)^t```] +and since [`P_t = [$Amount]`] is the future value and solving for the intial value [`P`] is +[```P = P_t (1+i)^{-t}```] +and [`i=\frac{[$apr]}{12 \cdot 100} `] and [`t=[$n]`] is the number of [$periods] in [$t] years. The result is [``` P = [$invest_amt] ```] +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NAU/setExponentialModeling/exponentialdecay1.pg b/OpenProblemLibrary/NAU/setExponentialModeling/exponentialdecay1.pg index e4a646c50f..9b4474c78a 100644 --- a/OpenProblemLibrary/NAU/setExponentialModeling/exponentialdecay1.pg +++ b/OpenProblemLibrary/NAU/setExponentialModeling/exponentialdecay1.pg @@ -15,36 +15,33 @@ ## KEYWORDS('exponential function', 'exponential decay') DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); - -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; -$p=random(1,8,.25); -$pop= random (10000,50000,50); -$year=random(2015,2035,1); - -$ans=$pop*(1-($p/100))**($year-2011); +$p = random(1, 8, .25); +$p0 = random(10000, 50000, 50); +$t0 = random(2010, 2022); +$year = random(2026, 2040); -BEGIN_TEXT +$pop = Round($p0 * (1 - ($p / 100))**($year - $t0)); -A town in the mid west has been experiencing a steady population decline of $p $PERCENT per year for the past decade. -If there were $pop residents in the year 2011 and the trend continues, what will the population be in the year $year? -$BR -$BBOLD Round your answer to the nearest person. $EBOLD +BEGIN_PGML -$PAR -\{ ans_rule(30) \} people -$BR +A town in the midwest has been experiencing a steady population decline of [$p]% per year for the past decade. If there were [$p0] residents in the year [$t0] and the trend continues, what will the population be in the year [$year]? [_]{$pop} -END_TEXT +*Round your answer to the nearest person. Do not use commas to separate thousands in the number.* + +END_PGML -ANS(num_cmp($ans) ); +$q = 1 - $p / 100; +$tdiff = $year - $t0; +BEGIN_PGML_SOLUTION +The population of this town is exponential and the model is +[``` P(t) = P_0 (1+p/100)^t ```] +where [`p=-[$p/100]`] is the rate of decline as a fraction, [`P_0 = [$p0] `] and [`t`] is the number of years since [$t0]. Thus the model is +[``` P(t) = [$p0] ([$q])^t ```] +To find the population in [$year], use [`t=[$year]-[$t0]= [$tdiff]`], resulting in [`P([$tdiff]) = [$pop]`] +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NAU/setExponentialModeling/exponentialgrowth1.pg b/OpenProblemLibrary/NAU/setExponentialModeling/exponentialgrowth1.pg index 2afc8f9595..3e5f4117ea 100644 --- a/OpenProblemLibrary/NAU/setExponentialModeling/exponentialgrowth1.pg +++ b/OpenProblemLibrary/NAU/setExponentialModeling/exponentialgrowth1.pg @@ -10,72 +10,84 @@ ## KEYWORDS('exponential model', 'growth') ##ENDDESCRIPTION ## Edited by C. Tyler Diggans at NAU on 8/2012 -## Changes: got rid of option of 'begining' or 'end' of year2 +## Changes: got rid of option of 'beginning' or 'end' of year2 # File Created: 06/27/05 # Location: Northern Arizona University # Course:Quantitative Reasoning -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGcourse.pl" -); +## Updated 2025.01 by Peter Staab, switch to PGML and added a solution. -TEXT( beginproblem ( ) ); -$showPartialCorrectAnswers = 1; +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -$total1 = random( 1000, 10000, 1 ); +# population at $year0 +$pop0 = random(1000, 10000); +$rate = random(3, 10, .1); -$rate = random( 3, 10, .1 ); +do { + ($year0, $year1) = (random(1940, 1985, 1), random(1960, 2005, 1)); +} until ($year1 > $year0 + 20); -do { $year1 = random( 1940, 1985, 1 ); - $year2 = random( 1960, 2005, 1); -} until( $year2 > $year1 + 20 ); +$n1 = $year1 - $year0; +# population at year1 +$pop1 = $pop0 * (1 + $rate / 100)**$n1; -$n1=$year2-$year1; +# population at year 2 +do { + $pop2 = random(1000000, 25000000, 1); +} until ($pop2 > $pop1); -$ans1 = $total1 * ( 1 + $rate/100 ) ** $n1; +$n2 = ln($pop2 / $pop1) / ln(1 + $rate / 100); +$year2 = $year1 + int($n2); -do{ $total2 = random( 1000000, 25000000, 1 ); -} until( $total2 > $ans1 ); +# add commas for thousands separators. +$pop0str = $pop0; +$pop2str = $pop2; +while ($pop0str =~ s/^(~~d+)(~~d{3})/$1,$2/) { } +while ($pop2str =~ s/^(~~d+)(~~d{3})/$1,$2/) { } -$n2 = ln( $total2 / $total1 ) / ln( 1 + $rate / 100 ); -$ans2 = $year1 + int( $n2 ); +BEGIN_PGML -if( $total1 < 10 ** 6 ){ $th1 = int( $total1 / 1000 ); - $h1 = int( ( $total1 - ($th1 * 1000) ) / 100 ); - $t1 = int ( ( $total1 - ( $th1 * 1000 ) - ( $h1 * 100) ) / 10 ); - $o1 = int ( $total1 - ( $th1 * 1000 ) - ( $h1 * 100) - ( $t1 * 10 ) ); - $pop1 = $th1.','.$h1.$t1.$o1; -}else{ $pop1 = $total1; } +A city had a population of [$pop0str] at the beginning of [$year0] and has been growing at +[$rate][$PERCENT] per year since then. -if( $total2 < 10 ** 9 ){ $m = int( $total2 / 10 ** 6 ); - $hth = int( ( $total2 - ( $m * 10 ** 6 ) ) / 10 ** 5 ); - $tth = int( ( $total2 - ( $m * 10 ** 6 ) - ( $hth * 10 ** 5 ) ) / 10 ** 4 ); - $th = int( ( $total2 - ( $m * 10 ** 6 ) - ( $hth * 10 ** 5 ) - ($tth * 10 ** 4 ) ) / 1000 ); - $p = $total2 - ( $m * 10 ** 6 )- ( $hth * 10 ** 5 ) - ($tth * 10 ** 4 ); - $h = int( ( $p - ($th * 1000) ) / 100 ); - $t = int( ( $p - ( $th * 1000 ) - ( $h * 100) ) / 10 ); - $o = int( $p - ( $th * 1000 ) - ( $h * 100) - ( $t * 10 ) ); - if ( $m == 0 ){ $pop2 = $hth.$tth.$th.','.$h.$t.$o; - } else { $pop2 = $m.','.$hth.$tth.$th.','.$h.$t.$o; } -} else{ $pop2 = $total2; } +a) Find the size of the city at the beginning of [$year1]. -BEGIN_TEXT + Answer: [__]{$pop1} -A city had a population of $pop1 at the begining of $year1 and has been growing at -$rate$PERCENT per year since then.$PAR -(a) Find the size of the city at the beginning of $year2. -$BR -Answer: \{ans_rule( 15 )\} -$PAR -(b) During what year will the population of the city reach $pop2 ? -$BR -Answer: \{ans_rule( 15 )\} +b) During what year will the population of the city reach [$pop2str] ? -END_TEXT + Answer: [__]{$year2} + +END_PGML + +BEGIN_PGML_HINT +First, make sure you are using an exponential model with the given parameters. + +Also, if the answer to part b isn't right, make sure that you are rounding your answer down. For example if [`t=7.75`], then adding to year [$year0] to get year [@ $year0+7.75 @], means that the population would reach in year [@ int($year0+7.75) @]. That is, round down. +END_PGML_HINT + +$q = 1 + $rate / 100; +BEGIN_PGML_SOLUTION +The population of this town is exponential and the model is +[``` P(t) = P_0 (1+p/100)^t ```] +where [`r=[$rate/100]`] is the growth rate as a fraction, [`P_0 = [$pop0] `] and [`t`] is the number of years since [$year0]. Thus the model is +[``` P(t) = [$pop0] ([$q])^t ```] + +a) To find the population in [$year1], use [`t=[$year1]-[$year0]= [$n1]`], resulting in [`P([$n1]) = [$pop1]`]. Round this answer to [@Round($pop1)@]. + +b) For this, we know the population [`P(t)=[$pop2]`] and put this into the model as + [```[$pop2] = [$pop0] ([$q])^t ```] + divide by [`[$pop0]`] + [``` [@ $pop2/$pop0 @] = ([$q])^t ```] + take the log + [``` \log ([@ $pop2/$pop0 @]) = t \log([$q]) ```] + divide by [`\log([$q])`] + [``` \frac{\log ([@ $pop2/$pop0 @])}{\log([$q])} = t ```] + using a calculator + [``` t = [$n2] ```] + And lastly, turn this into an integer and add to the original year [$year0] to get the year [$year2]. +END_PGML_SOLUTION -ANS( num_cmp( $ans1 ) ); -ANS( num_cmp( $ans2 ) ); ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NAU/setLinearModeling/linearmodeling2.pg b/OpenProblemLibrary/NAU/setLinearModeling/linearmodeling2.pg index c43d88bc7e..463c10adfd 100644 --- a/OpenProblemLibrary/NAU/setLinearModeling/linearmodeling2.pg +++ b/OpenProblemLibrary/NAU/setLinearModeling/linearmodeling2.pg @@ -1,4 +1,6 @@ ##DESCRIPTION +# Develop a linear model for pricing of gasoline and use it to determine how to maximize revenue. +##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) ## DBsection(Applications and models) @@ -7,84 +9,91 @@ ## MLT(LineFromPoints) ## Level(3) ## KEYWORDS('word problem','revenue') -##ENDDESCRIPTION # File Created: 06/20/05 # Location: Northern Arizona University # Course:Quantitative Reasoning -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGcourse.pl" -); - -TEXT(&beginproblem); +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -do{$total1 = random( 800, 1600, 100); - $total2 = random( 800, 1600, 100); -} until( $total1 > $total2); +do { + $total1 = random(800, 1600, 100); + $total2 = random(800, 1600, 100); +} until ($total1 > $total2); -do{$price1 = random( 2.05, 2.95, .05); - $price2 = random( 2.05, 2.95, .05); - $newprice = random( 2.05, 2.95, .05); -} until( $price1 > $newprice && $newprice > $price2 ); +do { + $price1 = random(2.05, 2.95, .05); + $price2 = random(2.05, 2.95, .05); + $newprice = random(2.05, 2.95, .05); +} until ($price1 > $newprice && $newprice > $price2); -do{$total3 = random( 800, 1600, 100); -} until( $total1 != $total3 || $total2 != $total3 ); +do { + $total3 = random(800, 1600, 100); +} until ($total1 != $total3 || $total2 != $total3); -$slope = ( $price2 - $price1 ) / ( $total1 - $total2 ); -$yint = $price2 - ( $slope * $total1 ) ; +$slope = ($price2 - $price1) / ($total1 - $total2); +$yint = $price2 - ($slope * $total1); -$ans1 = ( $newprice - $yint) / ($slope); +$ans1 = ($newprice - $yint) / ($slope); $ans2 = $slope * $total3 + $yint; -$rev1 = ( $price2 ) * ( $total1); -$rev2 = ( $price1 ) * ( $total2); -$rev3 = ( $newprice ) * ( $ans1 ); -$rev4 = ( $ans2 ) * ( $total3 ); +$rev1 = ($price2) * ($total1); +$rev2 = ($price1) * ($total2); +$rev3 = ($newprice) * ($ans1); +$rev4 = ($ans2) * ($total3); + +$max = max($rev1, $rev2, $rev3, $rev4); + +if ($max == $rev1) { $ans3 = $price2 } +elsif ($max == $rev2) { $ans3 = $price1 } +elsif ($max == $rev3) { $ans3 = $newprice } +elsif ($max == $rev4) { $ans3 = $ans2 } + +$cval = (-$yint) / (2 * $slope); + +$ans4 = ($slope * $cval) + $yint; + +sub printPrice { sprintf("%.2f", shift); } + +$pp1 = printPrice($price1); +$pp2 = printPrice($price2); +$npp = printPrice($newprice); + +BEGIN_PGML +A gas station sells [$total1] gallons of gasoline per hour if it charges $[$pp2] per gallon but only [$total2] gallons per hour if it charges $[$pp1] per gallon. Assuming a linear model + + +a) How many gallons would be sold per hour of the price is $[$npp] per gallon? -$max = max( $rev1, $rev2, $rev3, $rev4 ); + [_]{$ans1} -if( $max == $rev1 ){ $ans3 = $price2 } -elsif( $max == $rev2 ){ $ans3 = $price1 } -elsif( $max == $rev3 ){ $ans3 = $newprice } -elsif( $max == $rev4 ){ $ans3 = $ans2 } +b) What must the gasoline price be in order to sell [$total3] gallons per hour? -$cval = (-$yint)/(2*$slope); + $[_]{$ans2} -$ans4 = ( $slope * $cval ) + $yint; +c) Compute the revenue taken at the four prices mentioned in this problem -- $[$pp2], $[$npp], $[$pp1] and your answer to part (b). Which price gives the most revenue? -TEXT( -qq! -A gas station sells $total1 gallons of gasoline per hour if it charges -$DOLLAR !,sprintf( "%1.2f", $price2 ), qq! per gallon but only $total2 -gallons per hour if it charges $DOLLAR !,sprintf( "%1.2f", $price1 ), qq! -per gallon. Assuming a linear model -$PAR + $[_]{$ans3} -(a) How many gallons would be sold per hour of the price is $DOLLAR -!,sprintf( "%1.2f", $newprice ), qq! per gallon?$BR Answer:!, ans_rule(10), -qq! $PAR +d) What is the price that the gas station should charge to maximize revenue? -(b) What must the gasoline price be in order to sell $total3 gallons per hour? -$BR Answer: $DOLLAR !, ans_rule(10), qq! -$PAR + $[_]{$ans2} +END_PGML -(c) Compute the revenue taken at the four prices mentioned in this problem -- -$DOLLAR !,sprintf( "%6.2f", $price2 ),qq!, $DOLLAR !,sprintf( "%6.2f", $newprice ), -qq!, $DOLLAR !,sprintf( "%6.2f", $price1 ), qq! and your answer to part (b). -Which price gives the most revenue? $BR Answer: $DOLLAR !, ans_rule(10) ,qq! -$PAR +BEGIN_PGML_SOLUTION +We need to find the linear model, which we will write at +[``` G(x) = m x + b ```] +where [`x`] will be the price of the gasoline and [`G(x)`] will be total number of gallons per hour gasoline is sold. -(d) What is the price that the gas station should charge to maximize revenue? -$BR Answer: $DOLLAR !,ans_rule(10) ,qq! -!, -); +The problem gives two points [`([$pp2],[$total1])`] and [`([$pp1],[$total2])`]. We'll use these to find the slope with +[``` m= \frac{g_2 - g_1}{p_2 - p_1} = \frac{[$total2]-[$total1]}{[$pp2]-[$pp1]} = [$slope] ```] +We will use this slope and the point [`([$pp2],[$total1])`] in the model as +[``` [$total1] = [$slope] \cdot [$pp2] + b ```] +and solving for [`b`] results in [` b= [$yint] `] resulting in the model +[``` G(x) = [$slope] x + [$yint] ```] -ANS( num_cmp( $ans1 ) ); -ANS( num_cmp( $ans2 ) ); -ANS( num_cmp( $ans3 ) ); -ANS( num_cmp( $ans4 ) ); +a) To find this answer, we'll subsitute in $[$npp] into the model or [` G([$npp]) = [$slope]\cdot [$npp] + [$yint] = [$ans1] `] +END_PGML_SOLUTION -ENDDOCUMENT(); +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NAU/setLines/linearfunc2.pg b/OpenProblemLibrary/NAU/setLines/linearfunc2.pg index ee410558cc..19a91e3ea1 100644 --- a/OpenProblemLibrary/NAU/setLines/linearfunc2.pg +++ b/OpenProblemLibrary/NAU/setLines/linearfunc2.pg @@ -1,4 +1,7 @@ ##DESCRIPTION +# Contruct a linear model to determine the number of chairs to make. +##ENDDESCRIPTION + ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) ## DBsection(Applications and models) @@ -7,18 +10,14 @@ ## MLT(LineFromPoints) ## Level(5) ## KEYWORDS('linear function') -##ENDDESCRIPTION + +## Updated 2025.01 by Peter Staab, switch to PGML and added solution DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGcourse.pl'); -TEXT(&beginproblem); -$showPartialCorrectAnswers = 1; +Context('Numeric'); $m = random(22.5,57.5,5); $b = random(1250,2500,25); @@ -28,30 +27,42 @@ $x2 = random(520,550,5); $y1= $m*$x1+$b; $y2= $m*$x2+$b; +$linear_model = Formula("$m*x+$b"); + +BEGIN_PGML +A chair manufacturer finds that it costs [$y1] dollars +to manufacture [$x1] chairs and [$y2] dollars to manufacture [$x2] chairs in one day, +including all costs associated with the factory and the manufacturing process. + +a) Express the cost [` C(x) `] to manufacture [`x`] chairs assuming that it is a +linear function: + + [`C(x) = `] [_]{$linear_model} + +b) What are the fixed daily costs associated with the manufacuring process, +even if no chairs are made? [_]{Real($b)} + +c) How much does it cost to make each chair, aside from the fixed costs? [_]{Real($m)} + +END_PGML + +BEGIN_PGML_SOLUTION +Since this is a linear model, we will use +[``` C(x) = mx + b ```] +and the information in the problem leads to two points: [`([$x1],[$y1])`] and [`([$x2],[$y2])`]. With these the slope of the line through these points is: +[``` m = \frac{y_2-y-1}{x_2-x_1} = \frac{[$y2]-[$y1]}{[$x2]-[$x1]} = [$m] ```] -TEXT(EV2(< 'ABC'); # helpful for the graph @@ -104,4 +101,10 @@ $[$from],000 and $[$to],000? END_PGML +BEGIN_PGML_SOLUTION +Recall that there is 25% of the data between the left whisker and the left edge of the box, 25% between the left edge of the box and the median (line inside the box), then 25% to the right side of the box and 25% to the right end of the right whisker. + +Therefore, looking at the range, the result in [$radio]. +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NAU/setStatistics/FiveNumFromPlot.pg b/OpenProblemLibrary/NAU/setStatistics/FiveNumFromPlot.pg index 31adfe29da..c78382a83c 100644 --- a/OpenProblemLibrary/NAU/setStatistics/FiveNumFromPlot.pg +++ b/OpenProblemLibrary/NAU/setStatistics/FiveNumFromPlot.pg @@ -11,29 +11,20 @@ # File Created: 6/6/05 # Location: Northern Arizona University -# Edited on 7/2/22 by Peter Staab, Fitchburg State University -# Switched to PGML and tikz graphics, adding alternate text to the plot. - DOCUMENT(); loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl',); -Context('Numeric'); - -$showPartialCorrectAnswers = 1; -push @dat, random(15, 30, 1); -push @dat, random(35, 43, 1); -push @dat, random(45, 70, 1); -push @dat, random(72, 85, 1); -push @dat, random(89, 100, 1); +push @dat, random(15, 30), random(35, 43), random(45, 70), random(72, 85), + random(89, 100); @slice = num_sort(random_subset(3, 0 .. 4)); @labels = ('Minimum', 'First quartile', 'Median', 'Third quartile', 'Maximum'); @questions = @labels[@slice]; -$ans1 = Compute($dat[ $slice[0] ]); -$ans2 = Compute($dat[ $slice[1] ]); -$ans3 = Compute($dat[ $slice[2] ]); +$min = Compute($dat[ $slice[0] ]); +$median = Compute($dat[ $slice[1] ]); +$max = Compute($dat[ $slice[2] ]); # helpful for the graph @@ -82,9 +73,17 @@ represented data. >> [! [$alttext] !]{$graph_image}{600} << -1. [$questions[0]]: [______]{$ans1} -2. [$questions[1]]: [______]{$ans2} -3. [$questions[2]]: [______]{$ans3} +a) [$questions[0]]: [______]{$min} +b) [$questions[1]]: [______]{$median} +c) [$questions[2]]: [______]{$max} END_PGML + +BEGIN_PGML_SOLUTION +Looking at the plot, + +a) Minimum is [$min] +b) Median is [$median] +c) Maximum is [$max] +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NAU/setStatistics/easy_histogram.pg b/OpenProblemLibrary/NAU/setStatistics/easy_histogram.pg index e07e6fe7e8..113a95267c 100644 --- a/OpenProblemLibrary/NAU/setStatistics/easy_histogram.pg +++ b/OpenProblemLibrary/NAU/setStatistics/easy_histogram.pg @@ -17,7 +17,13 @@ # Graph updated to use PGML, tikz and add alt tag for accessibility. DOCUMENT(); -loadMacros("PGstandard.pl", "PGML.pl", "PGtikz.pl"); +loadMacros( + "PGstandard.pl", "PGML.pl", + "PGtikz.pl", 'contextPercent.pl', + 'PGcourse.pl' +); + +Context('Percent'); $n = 50; $max = random(29, 44, 5); @@ -32,12 +38,14 @@ $ind = random(0, 1); $num_bins = ($max + 1) / 5; $bins[$_] = 0 for (0 .. $num_bins - 1); +$num_faculty = 0; for $val (@list) { if ($val < $num) { push @newlist1, $val; } else { push @newlist2, $val; } + $num_faculty++ if $val >= $num; $bins[ floor($val / 5) ]++; } @@ -55,42 +63,34 @@ for $i (0 .. $num_bins - 1) { . " has height " . $bins[$i] . ". "; } - -# These are useful for setting the bounds of the plot $ymax1 = $ymax + 1; -$ymax2 = $ymax + 2; -$ymax3 = $ymax + 3; -$xmax1 = $max + 1; -$xmax2 = $max + 2; -$mid = 0.5 * $xmax1; -$ans1 = $ind == 0 ? 100 * scalar(@newlist2) / $n : 100 * scalar(@newlist1) / $n; - -$graph_image = createTikZImage(); -$graph_image->texPackages(["ifthen"]); -$graph_image->tikzLibraries("arrows.meta"); -$graph_image->tikzOptions("xscale=0.5, every node/.style={scale=1.5}"); +# create the tikz code to make the bars for this. +$bars = ''; +for $i (0 .. $#bins) { + $bars .= + "\filldraw[fill=LightBlue, draw = black] ({$i},0) rectangle ({($i+1))}, {10*$bins[$i]/$ymax}); \n"; +} -$graph_image->BEGIN_TIKZ +$graph = createTikZImage(); +$graph->tikzLibraries('arrows.meta'); +$graph->tikzOptions('yscale = 0.6'); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.25]}} \filldraw[ draw=LightBlue, fill=white, rounded corners=10pt, - thick,use as bounding box -] (-2,-2) rectangle ($xmax2, $ymax3); -\draw[<->,thick] (0,0) rectangle ($xmax1,$ymax1); -\draw ($mid,$ymax2) node {\Huge $title}; -\foreach \x in {5,10,...,$xmax1} \draw[gray] (\x,0) -- (\x,-0.5) node[below] {\x}; -\foreach \y in {1,2,...,$ymax1} \draw[thin, gray] (0,\y) -- (-0.25,\y) node[left]{\y}; -\filldraw[thick, fill=blue!20] (0,0) rectangle(5,$bins[0]); -\filldraw[thick, fill=red!20] (5,0) rectangle(10,$bins[1]); -\filldraw[thick, fill=yellow!50] (10,0) rectangle(15,$bins[2]); -\filldraw[thick, fill=magenta!20] (15,0) rectangle(20,$bins[3]); -\filldraw[thick, fill=blue!20] (20,0) rectangle(25,$bins[4]); -\filldraw[thick, fill=red!20] (25,0) rectangle(30,$bins[5]); -\ifthenelse{$num_bins > 6}{\filldraw[thick, fill=yellow!50] (30,0) rectangle(35,$bins[6]);}{} -\ifthenelse{$num_bins > 7}{\filldraw[thick, fill=magenta!20] (35,0) rectangle(40,$bins[7]);}{} -\ifthenelse{$num_bins > 8}{\filldraw[thick, fill=blue!20] (40,0) rectangle(45,$bins[8]);}{} + thick, use as bounding box +] (-1.25,-1) rectangle (10,13); +\draw (-0.5,0) -- (9.5,0) -- (9.5,11.5)-- (-0.5, 11.5) --cycle; +\foreach \x in {0,5,...,45} + \draw({\x/5},5pt) -- ({\x/5},-5pt) node [below] {\(\x\)}; + +\foreach \y in {1,...,$ymax1} + \draw (-0.4,{10*\y/$ymax}) -- (-0.6,{10*\y/$ymax}) node[left] {\(\y\)}; +$bars +\draw (4.5,12) node {\Large $title}; END_TIKZ BEGIN_PGML @@ -101,11 +101,11 @@ university. The horizontal axis represents years of service in intervals 0 to 4.9, 5 to 9.9, etc., and the vertical axis represents the number of faculty. ->> [! [$alttext] !]{$graph_image}{400} << +>> [! [$alttext] !]{$graph}{400} << What percent of the department faculty have [$dir[$ind]] years of service? -[_____]{$ans1} +[_]{Percent($num_faculty/$n)}{5} END_PGML -ENDDOCUMENT() +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/n11-2008-2s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/n11-2008-2s.pg index cc25fa953b..64299e32a6 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/n11-2008-2s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/n11-2008-2s.pg @@ -1,42 +1,37 @@ #DESCRIPTION -##Type of +## Calculate the average speed of a boat with different units than was given. #ENDDESCRIPTION -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -Context("Numeric"); -Context()->texStrings; -$radio=new_multiple_choice(); -$radio->qa("What is his average speed in knots? [1 knot is 1.2 miles per hour] ", "5.0 knots "); -$radio->extra("6.0 knots ", "7.2 knots ","12.5 knots "); - - -BEGIN_TEXT -Jesse travels 15.0 miles by boat in 2.5 hours.$BR -\{$radio->print_q()\} -\{$radio->print_a()\} - -END_TEXT -Context()->normalStrings; -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -If he travels 15 miles in 2.5 hours, he travels \(\frac{15}{2.5}=6\) miles per hour$BR which is \(\frac{6}{1.2}=5\) knots -END_SOLUTION - -; -ENDDOCUMENT(); ## DBsubject(Arithmetic) ## DBchapter(Units) ## DBsection(Conversions) ## Level(4) +DOCUMENT(); +loadMacros( + 'PGstandard.pl', 'PGML.pl', + 'contextUnits.pl', 'randomPerson.pl', + 'PGcourse.pl' +); + +Context("Units")->withUnitsFor('velocity', 'length', 'time'); + +$p = randomPerson(); +$dist = random(10, 20, 0.5); +$time = random(2, 3, 0.1); +$speed_mph = Compute("($dist mi)/($time h)"); +$speed_knots = $speed_mph->toUnits('knots'); + +BEGIN_PGML +[$p] travels [$dist] miles by boat in [$time] hours. What is [$p->their] average speed in knots? [__]{$speed_knots->cmp(sameUnits => 1)} + +Note: include the units and provide at least 3 digits of precision. Use 1 knot is 1.151 miles per hour. +END_PGML + +BEGIN_PGML_SOLUTION +If [$p->they] [$p->verb('travel')] [$dist] miles in [$time] hours, [$p->they] [$p->verb('travel')] [`\frac{[$dist]}{[$time]}=[@ Round($speed_mph->number,3) @]`] miles per hour + +Using dimensional analysis, +[``` [@ Round($speed_mph->number,3) @] \;\text{mph} \cdot \frac{1\; \text{knot}}{1.151\; \text{mph}} = [$speed_knots] ```] +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/perltidy.ERR b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/perltidy.ERR new file mode 100644 index 0000000000..8d66d2ca19 --- /dev/null +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2008/perltidy.ERR @@ -0,0 +1,29 @@ +Perltidy version is 20240903 + +: Begin Error Output Stream + +23: Note: include the units and provide at least 3 digits of precisi ... + - ^ +found bareword where operator expected (previous token underlined) + +23: ... least 3 digits of precision. Use 1 knot is 1.151 miles per hour ... + - ^ +found bareword where operator expected (previous token underlined) + +23: ... of precision. Use 1 knot is 1.151 miles per hour. + ----- ^ +found bareword where operator expected (previous token underlined) + +31: [``` [@ Round($speed_mph,3) @] \;\text{mph} \cdot \frac{1\; \tex ... + --^ +found String where operator expected (previous token underlined) + +32: [$speed] ```] + ^ +found String where operator expected + +Final nesting depth of '?'s is 1 +The most recent un-matched '?' is on line 21 +21: ... s [$p->their] average speed in knots? [__]{$speed} + ^ +34: To save a full .LOG file rerun with -g diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-16s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-16s.pg index c7190ff8af..7c8f919c25 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-16s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-16s.pg @@ -1,113 +1,3 @@ -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); - -# make sure we're in the context we want -Context("Numeric"); -($WIDTH,$HEIGHT,$TEXSIZE)=(340,280,150); - -# now initialize the graph -$graph = init_graph(-1,-1, 2.4,1.8 , size=>[$WIDTH,$HEIGHT]); -for ($x=-3;$x<6;$x++) -{$y=.3*$x; -$graph->moveTo($y,-.9); -$graph->lineTo( $y,1.5 ,'gray'); -$graph->moveTo(-.9,$y); -$graph->lineTo(2.1 ,$y ,'gray'); -} -$graph->moveTo(1.8,-.9); -$graph->lineTo(1.8 ,1.5 ,'gray'); -$graph->moveTo(2.1,-.9); -$graph->lineTo(2.1 ,1.5 ,'gray'); - -$graph->moveTo(0,0); -$graph->arrowTo(-1 ,0 ,'black'); -$graph->arrowTo(2.2 ,0 ,'black'); -$graph->moveTo(0,0); -$graph->arrowTo(0 ,1.6 ,'black'); -$graph->arrowTo(0 ,-1 ,'black'); - -$graph->moveTo(0,.3); -$graph->arrowTo(2.1 ,1.35 ,'black',2); -$graph->arrowTo(-.6 ,0 ,'black',2); -$a=-.1;$b=-.03;$c=.08; - - $label1= new Label(1.3 ,1.1 , 'k','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label( -.08,1.69 , 'y','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(2.2 , $b , 'x','black',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label( -2*.3,$b , '-2','black',('center','center')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label(-1*.3, $b , '-1','black',('center','center')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); - $label6= new Label(1*.3 , $b , '1','black',('center','center')); - $label6->font(GD::Font->Giant); - $graph-> lb($label6); - $label7= new Label( 2*.3,$b , '2','black',('center','center')); - $label7->font(GD::Font->Giant); - $graph -> lb($label7); - $label8= new Label( 3*.3, $b , '3','black',('center','center')); - $label8->font(GD::Font->Giant); - $graph -> lb($label8); - $label9= new Label( 4*.3, $b , '4','black',('center','center')); - $label9->font(GD::Font->Giant); - $graph -> lb($label9); - $label10= new Label( 5*.3 , $b , '5','black',('center','center')); - $label10->font(GD::Font->Giant); - $graph -> lb($label10); - $label11= new Label( 6*.3 , $b , '6','black',('center','center')); - $label11->font(GD::Font->Giant); - $graph -> lb($label11); - $label12= new Label($a ,-1*.6+$c , '-10','black',('center','center')); - $label12->font(GD::Font->Giant); - $graph -> lb($label12); - $label13= new Label($a , 1*.6+$c , '10','black',('center','center')); - $label13->font(GD::Font->Giant); - $graph -> lb($label13); - $label14= new Label($a ,2*.6+$c , '20','black',('center','center')); - $label14->font(GD::Font->Giant); - $graph -> lb($label14); - - -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -BEGIN_TEXT - - -Look at this graph.$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} - -$PAR -The slope of line \(k\) is -\{ans_rule(1 )\}. -END_TEXT -ANS(Real(5/2)->cmp); -BEGIN_SOLUTION -$PAR Solution $PAR -The slope of a line is measured by the change in the y coordinate divided by the change in $BR -the x coordinate as one moves along the line (and not by the actual measurements of the graph.) -In this graph, a change of one gray line in the x direction corresponds to a change of 1 in the x$BR -direction corresonds to a change of 1 in the x coordinate, while a change of one gray line in $BR -the y direction corresponds to a change of 5 in the y coordinate. $BR -The coordinates of two points on the line are (0,5) and (2,10) so the slope is \(\frac{10-5}{2-0}=\frac{5}{2}\) -END_SOLUTION - -; -ENDDOCUMENT(); ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) ## DBsection(Finding the slope) @@ -115,3 +5,63 @@ ENDDOCUMENT(); ## Level(2) ## MO(1) +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl'); + +Context("Numeric"); + +$b = random(-2, 3); +$a = random( 2, 5); +$m = 1 / $a; +$k = list_random(2, 4, 10, 20); +$twok = 2 * $k; + +$slope = $k / 2 * $m; + +$graph2 = createTikZImage(); +$graph2->tikzLibraries('arrows.meta'); +$graph2->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] (-4,-4) rectangle (8,6); +\draw[gray] (-3,-3) grid (7,5); + +\draw[->,thick] (-3.5,0) -- (7.5,0) node[above left,outer sep=3pt] {\(x\)}; +\foreach \x in {-3,...,-1,1,2,...,7} + \draw(\x,5pt) -- (\x,-5pt) node [below] {\(\x\)}; +\draw[->,thick] (0,-3.2) -- (0,5.5) node[below right,outer sep=3pt] {\(y\)}; +\foreach \y/\label in {-2/{-$k},2/$k,4/$twok} + \draw (5pt,\y) -- (-5pt,\y) node[above left] {\(\label\)}; +\draw[blue,ultra thick,<->] plot[domain=-3:7] (\x,{$m*\x+$b}); +END_TIKZ + +$y1 = $b * $k / 2; +$y2 = $y1 + $k / 2; + +$alt_text = "Graph of a line through (0, $y1) and ($a, $y2)"; + +BEGIN_PGML + +>>[![$alt_text]!]{$graph2}{500} << + +The slope of line above is [_]{$slope} +END_PGML + +($rise, $run) = reduce($k, 2 * $a); + +BEGIN_PGML_SOLUTION +The slope of a line is measured by the change in the y coordinate divided by the change in +the x coordinate as one moves along the line (and not by the actual measurements of the graph.) + +In this graph, a change of one gray line in the x direction corresponds to a change of 1 in the [`x`]-direction corresonds to a change of 1 in the x coordinate, while a change of one gray line in the [`y`]-direction corresponds to a change of [$k/2] in the [`y`]-coordinate. + +Two points that fall on integer coordinates are [`(0,[$y1])`] and [`([$a],[$y2])`]. The slope is the rise over the run or + +[``` m = \frac{\text{rise}}{\text{run}} = \frac{[$k/2]}{[$a]} = \frac{[$rise]}{[$run]} ```] +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-18s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-18s.pg index 7a13a3612c..6aa85fd6e0 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-18s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade11/gr11-2009/n11-2009-18s.pg @@ -1,195 +1,72 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl'); # make sure we're in the context we want Context("Numeric"); -($WIDTH,$HEIGHT,$TEXSIZE)=(500,760,150); - -# now initialize the graph -$graph = init_graph(-.9,-3, 4.1,4.3 , size=>[$WIDTH,$HEIGHT]); -$graph->moveTo(0,0); -$graph->lineTo(3.9 ,0 ,'black'); -$graph->lineTo(3.9 ,3.3 ,'black'); -$graph->lineTo(0 ,3.3 ,'black'); -$graph->lineTo(0 ,0 ,'black'); -for($x=1;$x<11;$x++) -{$y=.3*$x; -$graph->moveTo(0,$y); -$graph->lineTo(3.9 ,$y ,'gray'); +$graph2 = createTikZImage(); +$graph2->tikzLibraries('arrows.meta'); +$graph2->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-1, -1) rectangle (12, 12.5); + +\draw[thick] (0,0) rectangle (11,11); + + +\foreach \x/\label in {3/Frequently,6/Sometimes,9/Never} +\draw(\x,-0.25) node [below] {\label}; + +\foreach \y in {10,20,...,100} { + \draw[lightgray] (0,{\y/10})-- (11,{\y/10}); + \draw (0pt, {\y/10}) -- (-5pt, {\y/10}) node[left] {\(\y\)}; } -$scale=100; -$blue = $graph->im->colorAllocate(100,100,255); -$red = $graph->im->colorAllocate(255,100,100); -$green = $graph->im->colorAllocate(50,250,150); - $poly = new GD::Polygon; -foreach $pt ([1.2,4.46], [1.5,4.46], [1.5,3.32], [1.2,3.32]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$blue); - $poly = new GD::Polygon; -foreach $pt ([1.5,4.46], [1.8,4.46], [1.8,3.15], [1.5,3.15]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$red); - - $poly = new GD::Polygon; -foreach $pt ([1.8,4.46], [2.1,4.46], [2.1,2.25], [1.8,2.25]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$green); - - $poly = new GD::Polygon; -foreach $pt ([2.4,4.46], [2.7,4.46], [2.7,3.85], [2.4,3.85]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$blue); - $poly = new GD::Polygon; -foreach $pt ([2.7,4.46], [3,4.46], [3,3.75], [2.7,3.75]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$red); - - $poly = new GD::Polygon; -foreach $pt ([3,4.46], [3.3,4.46], [3.3,4.05], [3,4.05]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$green); - - - $poly = new GD::Polygon; -foreach $pt ([3.6,4.46], [3.9,4.46], [3.9,3.05], [3.6,3.05]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$blue); - $poly = new GD::Polygon; -foreach $pt ([3.9,4.46], [4.2,4.46], [4.2,3.35], [3.9,3.35]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$red); - - $poly = new GD::Polygon; -foreach $pt ([4.2,4.46], [4.5,4.46], [4.5,4.05], [4.2,4.05]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$green); - - $poly1 = new GD::Polygon; -foreach $pt ([2,5.4], [2.3,5.4], [2.3,5.7], [2,5.7]) - {$poly1->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly1,$blue); - - $poly = new GD::Polygon; -foreach $pt ([2,5.9], [2.3,5.9], [2.3,6.2], [2,6.2]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$red); - - $poly = new GD::Polygon; -foreach $pt ([2,6.4], [2.3,6.4], [2.3,6.7], [2,6.7]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$green); - - -$a=-.1;$b=.03;$c=.3;$d=-.1;$e=2.2; - - $label2= new Label(1.7 ,3.8 , 'Natiional TV Used','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(1.7 ,3.6 , 'as News Source','black',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label(0 ,4.2 , 'Percentage','black',('center','center')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label(0 ,4.1 , 'by Age Group','black',('center','center')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); - $label6= new Label($a , $b , '0','black',('center','center')); - $label6->font(GD::Font->Giant); - $graph-> lb($label6); - $label7= new Label($a ,$c+*$b , '10','black',('center','center')); - $label7->font(GD::Font->Giant); - $graph -> lb($label7); - $label8= new Label($a , 2*$c+$b , '20','black',('center','center')); - $label8->font(GD::Font->Giant); - $graph -> lb($label8); - $label9= new Label($a , 3*$c+$b, '30','black',('center','center')); - $label9->font(GD::Font->Giant); - $graph -> lb($label9); - $label10= new Label($a , 4*$c+$b , '40','black',('center','center')); - $label10->font(GD::Font->Giant); - $graph -> lb($label10); - $label11= new Label($a , 5*$c+$b , '50','black',('center','center')); - $label11->font(GD::Font->Giant); - $graph -> lb($label11); - $label12= new Label($a , 6*$c+$b , '60','black',('center','center')); - $label12->font(GD::Font->Giant); - $graph -> lb($label12); - $label13= new Label( $a, 7*$c+$b , '70','black',('center','center')); - $label13->font(GD::Font->Giant); - $graph -> lb($label13); - $label14= new Label($a , 8*$c+$b , '80','black',('center','center')); - $label14->font(GD::Font->Giant); - $graph -> lb($label14); - $label15= new Label($a , 9*$c+$b , '90','black',('center','center')); - $label15->font(GD::Font->Giant); - $graph -> lb($label15); - $label16= new Label($a-.03 , 10 *$c+$b , '100','black',('center','center')); - $label16->font(GD::Font->Giant); - $graph -> lb($label16); - $label17= new Label( .75 , $d , 'Frequently','black',('center','center')); - $label17->font(GD::Font->Giant); - $graph -> lb($label17); - $label18= new Label(1.95 , $d , 'Sometimes','black',('center','center')); - $label18->font(GD::Font->Giant); - $graph -> lb($label18); - $label19= new Label(3.15 , $d , 'Never','black',('center','center')); - $label19->font(GD::Font->Giant); - $graph -> lb($label19); - $label20= new Label(2 ,-.6 , 'Key','black',('center','center ')); - $label20->font(GD::Font->Giant); - $graph -> lb($label20); - $label1= new Label(2 ,-1 , 'teenagers','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(2.1 ,-1.5 , 'young adults','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(2.1 ,-2 , 'older adults','black',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - -$graph->moveTo(1,-.4); -$graph->lineTo(3 ,-.4 ,'black'); -$graph->lineTo(3 ,-2.4 ,'black'); -$graph->lineTo(1 ,-2.4 ,'black'); -$graph->lineTo(1 ,-.4 ,'black'); - - - -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -BEGIN_TEXT -This graph shows the results of a study about how people of different$BR - ages use national TV as a source of news. -$BR - -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} - -$PAR - -\{ans_rule(1 )\} percent of the teenagers surveyed make at least some use of National TV for news. -END_TEXT -ANS(Real(58)->cmp); -BEGIN_SOLUTION -$PAR Solution $PAR -Notice that 38 percent of teenagers frequently and 20 percent sometimes make use of $BR -National TV for news. That means that 58% make at least some ues of it -END_SOLUTION - -; + +\filldraw[fill=LightBlue, draw=black] (0.7,0) rectangle (1.6,3.8); +\filldraw[fill=LightSalmon, draw=black] (1.6,0) rectangle (2.4,4.2); +\filldraw[fill=LightGreen, draw=black] (2.4,0) rectangle (3.3,7.2); + +\filldraw[fill=LightBlue, draw=black] (4.2,0) rectangle (5.1,2.0); +\filldraw[fill=LightSalmon, draw=black] (5.1,0) rectangle (6,2.3); +\filldraw[fill=LightGreen, draw=black] (6,0) rectangle (6.9,1.4); + +\filldraw[fill=LightBlue, draw=black] (7.8,0) rectangle (8.7,4.6); +\filldraw[fill=LightSalmon, draw=black] (8.7,0) rectangle (9.6,3.5); +\filldraw[fill=LightGreen, draw=black] (9.6,0) rectangle (10.5,1.4); + +\filldraw[fill=white, draw=black, rounded corners = 5] (5.5,6) rectangle (10,10.5); +\filldraw[fill=LightBlue, draw=black] (6,6.25) rectangle (7,7.25); +\draw (7,6.75) node [right] {teenagers}; +\filldraw[fill=LightSalmon, draw=black] (6,7.75) rectangle (7,8.75); +\draw (7,8.25) node [right] {young adults}; +\filldraw[fill=LightGreen, draw=black] (6,9.25) rectangle (7,10.25); +\draw (7,9.75) node [right] {older adults}; + + +\draw (6,11.5) node {National TV Used as News Source (Percentage)}; + +END_TIKZ + +BEGIN_PGML +This graph shows the results of a study about how people of different ages use national TV as a source of news. + +>>[!!]{$graph2}{500}<< + +[_]{Real(58)} percent of the teenagers surveyed make at least some use of National TV for news. +END_PGML + +BEGIN_PGML_SOLUTION +Notice that 38 percent of teenagers frequently and 20 percent sometimes make use of National TV for news. That means that 58% make at least some ues of it +END_PGML_SOLUTION + ENDDOCUMENT(); ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Graphical representations) ## Level(2) -## MO(1) +## MO(1) \ No newline at end of file diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade3/gr3-2006/n3-2006-6s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade3/gr3-2006/n3-2006-6s.pg index 3ab35348af..089453a18e 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade3/gr3-2006/n3-2006-6s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade3/gr3-2006/n3-2006-6s.pg @@ -1,76 +1,49 @@ +## DBsubject(Geometry) +## DBchapter(Shapes) +## DBsection(Perimeter) +## Level(3) + DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGchoicemacros.pl', 'PGgraphmacros.pl', + 'PGtikz.pl', 'PGcourse.pl' ); -Context("Numeric"); - -($WIDTH,$HEIGHT,$TEXSIZE)=(600,180,150); -# now initialize the graph -$graph = init_graph(-.5,-.5, 5.5,1.8,size=>[$WIDTH,$HEIGHT]); -$yellow = $graph->im->colorAllocate(255,250,20); -$scale=100; -$poly = new GD::Polygon; -foreach $pt ([.5,.22], [5.5,.22], [5.5,1.4], [.5,1.4]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} - -$graph->im->filledPolygon($poly,$yellow); -$graph->moveTo(0,0); -$graph->lineTo(5 ,0 ,'black'); -$graph->lineTo(5 ,1.5 ,'black'); -$graph->lineTo(0 ,1.5 ,'black'); -$graph->lineTo(0 ,0 ,'black'); +$x = random(5, 15); +$y = random(2, 5); + +$graph = createTikZImage(); +$graph->tikzLibraries("arrows.meta"); +$graph->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-0.5,0) rectangle (10.5,4); +\filldraw[draw=black, fill = LightYellow] (1,1) rectangle (9,3); +\draw (5,3) node [above] {$x cm.}; +\draw (5,1) node [below] {$x cm.}; +\draw (1,2) node [left] {$y cm.}; +\draw (9,2) node [right] {$y cm.}; +\draw (5,2) node {\Large I love mathematics}; +END_TIKZ + +BEGIN_PGML +Look at this bookmark. (Notice that cm. is an abbreviation for centimeters) - $label1= new Label(2.5 , .9 , 'I love mathematics','red',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(-.2 ,.9 , '3 cm.','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(5.24 , .9 , '3 cm.','black',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label(2.5 , -.04 , '10 centimeters','black',('center','center')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label(2.5 , 1.71 , '10 centimeters','black',('center','center')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); +>>[! !]{$graph}{500} << -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa("What is the distance around this bookmark ", "26 centimeters "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("6 centimeters", "13 centimeters ", "16 centimeters "); -BEGIN_TEXT -Look at this bookmark. (Notice that cm. is an abbreviation for centimeters) -$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} +What is the distance around the edge of the bookmark? [_]{Real(2*$x+2*$y)} cm. + +END_PGML -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -The length around the bookmark (which is called the perimeter $BR -is the sum of the lengths of the four sides, \(10+3+10+3=26\) centimeters. -END_SOLUTION +BEGIN_PGML_SOLUTION +The length around the bookmark (which is called the perimeter +is the sum of the lengths of the four sides, [`[$x]+[$x]+[$y]+[$y]= [@ 2*$x+2*$y @]`] centimeters. +END_PGML_SOLUTION -; ENDDOCUMENT(); -## DBsubject(Geometry) -## DBchapter(Shapes) -## DBsection(Perimeter) -## Level(3) - - - -$graph->im->setThickness(3); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2008/n4-2008-9s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2008/n4-2008-9s.pg index 8909b30f4b..dc9d2b119b 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2008/n4-2008-9s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2008/n4-2008-9s.pg @@ -1,141 +1,69 @@ +## DBsubject(Statistics) +## DBchapter(Exploratory data analysis/descriptive statistics) +## DBsection(Graphical representations) +## MLT(Statistics_Exploratory_EarlyHistograms) +## Level(2) + +## Updated 2025.02 by Peter Staab, switch to PGML and the graph to tikz. + DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGtikz.pl', 'randomPerson.pl', + 'PGcourse.pl' ); # make sure we're in the context we want Context("Numeric"); -($WIDTH,$HEIGHT,$TEXSIZE)=(480,300,150); -# now initialize the graph -$graph = init_graph(-.6,-.6, 4.2,2.4,size=>[$WIDTH,$HEIGHT]); - -$graph->moveTo(4,0); -$graph->lineTo(0 ,0 ,'black'); -$graph->lineTo(0 ,2 ,'black'); -$graph->lineTo(4 ,2 ,'black'); -for ($x=1;$x<13;$x++) -{$y=$x/3; -$graph->moveTo($y,0); -$graph->lineTo($y ,2 ,'gray'); -} -$scale=100; -$poly = new GD::Polygon; -foreach $pt ([.6,.4], [.6,.75], [1.93,.75], [1.93,.4]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$blue = $graph->im->colorAllocate(100,100,255); -$graph->im->filledPolygon($poly,$blue); -$poly = new GD::Polygon; -foreach $pt ([.6,.95], [.6,1.3], [3.93,1.3], [3.93,.95]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$red = $graph->im->colorAllocate(255,100,0); -$graph->im->filledPolygon($poly,$red); - -$poly = new GD::Polygon; -foreach $pt ([.6,1.5], [.6,1.85], [2.93,1.85], [2.93,1.5]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$green = $graph->im->colorAllocate(55,255,100); -$graph->im->filledPolygon($poly,$green); - -$poly = new GD::Polygon; -foreach $pt ([.6,2.05], [.6,2.4], [1.93,2.4], [1.93,2.05]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$yellow = $graph->im->colorAllocate(255,250,20); -$graph->im->filledPolygon($poly,$yellow); -$b=-.05;$a=0; - $label1= new Label(1.7 ,2.2 , 'Favorite Colors','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(-.2 , 1.88 ,'Blue','blue',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(-.17 ,1.33 , 'Red','red',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label(-.23 ,.78 , 'Green','green',('center','center')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label(-.26 ,.23 , 'Yellow','yellow',('center','center')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); - $label6= new Label($a , $b , '0','black',('center','center')); - $label6->font(GD::Font->Giant); - $graph-> lb($label6); - $label7= new Label(.333+$a , $b , '1','black',('center','center')); - $label7->font(GD::Font->Giant); - $graph -> lb($label7); - $label8= new Label(2*.333+$a , $b , '2','black',('center','center')); - $label8->font(GD::Font->Giant); - $graph -> lb($label8); - $label9= new Label(3*.333+$a , $b , '3','black',('center','center')); - $label9->font(GD::Font->Giant); - $graph -> lb($label9); - $label10= new Label(4*.333+$a , $b , '4','black',('center','center')); - $label10->font(GD::Font->Giant); - $graph -> lb($label10); - $label11= new Label(5*.333+$a , $b , '5','black',('center','center')); - $label11->font(GD::Font->Giant); - $graph -> lb($label11); - $label12= new Label(6*.333+$a , $b , '6','black',('center','center')); - $label12->font(GD::Font->Giant); - $graph -> lb($label12); - $label13= new Label(7*.333+$a , $b , '7','black',('center','center')); - $label13->font(GD::Font->Giant); - $graph -> lb($label13); - $label14= new Label(8*.333+$a , $b , '8','black',('center','center')); - $label14->font(GD::Font->Giant); - $graph -> lb($label14); - $label15= new Label(9*.333+$a , $b , '9','black',('center','center')); - $label15->font(GD::Font->Giant); - $graph -> lb($label15); - $label16= new Label(10 *.333+$a , $b , '10','black',('center','center')); - $label16->font(GD::Font->Giant); - $graph -> lb($label16) -; $label17= new Label(11*.333+$a , $b , '11','black',('center','center')); - $label17->font(GD::Font->Giant); - $graph -> lb($label17); - $label18= new Label(12*.333+$a , $b , '12','black',('center','center')); - $label18->font(GD::Font->Giant); - $graph -> lb($label18); - $label19= new Label(2.2 , -.3 , 'Number of students','black',('center','center')); - $label19->font(GD::Font->Giant); - $graph -> lb($label19); - -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa("How many students voted in Ms. Kelly's class? ", "25 "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("4 ", "7 ", " 10 "); -BEGIN_TEXT -This bar graph shows the favorite colors of students in Ms Kelley's class.$BR -Each student voted for only one color - -$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} - -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -4 students voted for blue, 10 for red, 7 for green and 4 for yellow.$BR -So the answer is \(4+10+7+4=25\) -END_SOLUTION - -; -ENDDOCUMENT(); -## DBsubject(Statistics) -## DBchapter(Exploratory data analysis/descriptive statistics) -## DBsection(Graphical representations) -## MLT(Statistics_Exploratory_EarlyHistograms) -## Level(2) +do { + @w = map { random(4, 10) } (0 .. 3); + $total = $w[0] + $w[1] + $w[2] + $w[3]; +} until (22 <= $total && $total <= 28); +$graph2 = createTikZImage(); +$graph2->tikzLibraries('arrows.meta'); +$graph2->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-2, -1.5) rectangle (13.5, 10.5); + +\draw[->, thick] (0, 0) -- (12.5, 0); + +\foreach \y/\label in {2/Blue,4/Red,6/Green,8/Yellow} + \draw(0,\y)--(-0.25,\y) node [left] {\label}; +\draw[-, thick] (0, 0) -- (0, 9.5); +\foreach \x in {1,...,12} + \draw (\x, 5pt) -- (\x, -5pt) node[below] {\(\x\)}; + +\filldraw[fill=Blue, draw=black] (0,1.5) rectangle ( $w[0], 2.5); +\filldraw[fill=Red, draw=black] (0,3.5) rectangle ( $w[1], 4.5); +\filldraw[fill=Green, draw=black] (0,5.5) rectangle ( $w[2], 6.5); +\filldraw[fill=Yellow, draw=black] (0,7.5) rectangle ( $w[3], 8.5); + +\draw (6,9.5) node {Favorite Colors}; +\draw (6,-1) node {Number of Students}; + +END_TIKZ + +$last_name = randomLastName(); + +BEGIN_PGML +This bar graph shows the favorite colors of students in Ms [$last_name]'s class. Each student voted for only one color. + +>>[! !]{$graph2}{500}<< + +How many students voted Ms. [$last_name]'s class? [_]{$total} + +END_PGML + +BEGIN_PGML_SOLUTION +In this case, the total number of students is what we are looking for. There are [$total] students in total. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2009/n4-2009-9s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2009/n4-2009-9s.pg index 9e978488d5..a621040154 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2009/n4-2009-9s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade4/gr4-2009/n4-2009-9s.pg @@ -1,365 +1,74 @@ +## DBsubject(Statistics) +## DBchapter(Exploratory data analysis/descriptive statistics) +## DBsection(Graphical representations) +## MLT(Statistics_Exploratory_EarlyHistograms) +## Level(2) + DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'parserRadioButtons.pl', 'randomPerson.pl', + 'PGtikz.pl', 'PGcourse.pl' ); -# make sure we're in the context we want Context("Numeric"); -($WIDTH,$HEIGHT,$TEXSIZE)=(430,280,150); -# now initialize the graph -$graph = init_graph(-.3,-.8, 4, 2,size=>[$WIDTH,$HEIGHT]); -for ($x=0;$x<6;$x++) -{$y=.3*$x; -$graph->moveTo(0,$y); -$graph->lineTo(4.7 ,$y ,'black');} -$graph->moveTo(0,0); -$graph->lineTo(0 ,1.5 ,'black'); - -$scale=100; -$red = $graph->im->colorAllocate(255,100,100); -$poly = new GD::Polygon; -foreach $pt ([.5,.8], [.8,.8], [.8,2],[.5 ,2 ]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly,$red); -$poly1 = new GD::Polygon; - foreach $pt ([1.5,.8], [1.8,.8], [1.8,2],[1.5 ,2 ]) - {$poly1->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly1,$red); -$poly2 = new GD::Polygon; -foreach $pt ([2.5,.8], [2.8,.8], [2.8,2],[2.5 ,2 ]) - {$poly2->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly2,$red); -$poly3 = new GD::Polygon; -foreach $pt ([3.5,.8], [3.8,.8], [3.8,2],[3.5 ,2 ]) - {$poly3->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$graph->im->filledPolygon($poly3,$red); - $label1= new Label(2 ,2 , 'Birds Jeremy Saw ','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(.4 ,-.01 , 'Robins ','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(-.09 ,.08 , '0','black',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label(-.09 ,.355 , '1','black',('center','center')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label(1.8 , -.2 , 'Type of Bird ','black',('center','center')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); - $label6= new Label(1.3 ,-.01 , 'Blue Jays','black',('center','center')); - $label6->font(GD::Font->Giant); - $graph-> lb($label6); - $label7= new Label(2.4 , -.01 , 'Cardinals','black',('center','center')); - $label7->font(GD::Font->Giant); - $graph -> lb($label7); - - $label8= new Label(3.4 ,-.01 , 'Finches ','black',('center','center')); - $label8->font(GD::Font->Giant); - $graph -> lb($label8); - - $label9= new Label(-.04 ,.655 , '2 ','black',('center','center')); - $label9->font(GD::Font->Giant); - $graph -> lb($label9); - $label10= new Label(-.09 ,.955 , '3','black',('center','center')); - $label10->font(GD::Font->Giant); - $graph -> lb($label10); - $label11= new Label(-.09 ,1.255 , '4','black',('center','center')); - $label11->font(GD::Font->Giant); - $graph -> lb($label11); - $label12= new Label(.1 ,1.9 , 'Number','black',('center','center')); - $label12->font(GD::Font->Giant); - $graph -> lb($label12); - $label13= new Label(.1 ,1.78 , 'of ','black',('center','center')); - $label13->font(GD::Font->Giant); - $graph -> lb($label13); - - $label13= new Label(.1 ,1.66 , 'birds','black',('center','center')); - $label13->font(GD::Font->Giant); - $graph -> lb($label13); - $label20= new Label(2 , -.5 , 'Bar Graph W ','black',('center','center')); - $label20->font(GD::Font->Giant); - $graph -> lb($label20); - - -$gra = init_graph(-.3,-.8, 4, 2,size=>[$WIDTH,$HEIGHT]); -for ($x=0;$x<6;$x++) -{$y=.3*$x; -$gra->moveTo(0,$y); -$gra->lineTo(4.7 ,$y ,'black');} -$gra->moveTo(0,0); -$gra->lineTo(0 ,1.5 ,'black'); +$p = randomPerson(); -$blue = $gra->im->colorAllocate(100,100,255); -$poly = new GD::Polygon; -foreach $pt ([.5,1.7], [.8,1.7], [.8,2],[.5 ,2 ]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$gra->im->filledPolygon($poly,$blue); -$poly1 = new GD::Polygon; - foreach $pt ([1.5,1.4], [1.8,1.4], [1.8,2],[1.5 ,2 ]) - {$poly1->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$gra->im->filledPolygon($poly1,$blue); -$poly2 = new GD::Polygon; -foreach $pt ([2.5,.8], [2.8,.8], [2.8,2],[2.5 ,2 ]) - {$poly2->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$gra->im->filledPolygon($poly2,$blue); -$poly3 = new GD::Polygon; -foreach $pt ([3.5,1.4], [3.8,1.4], [3.8,2],[3.5 ,2 ]) - {$poly3->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$gra->im->filledPolygon($poly3,$blue); - $label1= new Label(2 ,2 , 'Birds Jeremy Saw ','black',('center','center')); - $label1->font(GD::Font->Giant); - $gra -> lb($label1); - $label2= new Label(.4 ,-.01 , 'Robins ','black',('center','center')); - $label2->font(GD::Font->Giant); - $gra -> lb($label2); - $label3= new Label(-.09 ,.08 , '0','black',('center','center')); - $label3->font(GD::Font->Giant); - $gra -> lb($label3); - $label4= new Label(-.09 ,.355 , '1','black',('center','center')); - $label4->font(GD::Font->Giant); - $gra -> lb($label4); - $label5= new Label(1.8 , -.2 , 'Type of Bird ','black',('center','center')); - $label5->font(GD::Font->Giant); - $gra -> lb($label5); - $label6= new Label(1.3 ,-.01 , 'Blue Jays','black',('center','center')); - $label6->font(GD::Font->Giant); - $gra-> lb($label6); - $label7= new Label(2.4 , -.01 , 'Cardinals','black',('center','center')); - $label7->font(GD::Font->Giant); - $gra -> lb($label7); +$w = [ [ 4, 4, 4, 4 ], [ 1, 2, 4, 2 ], [ 4, 3, 2, 1 ], [ 4, 3, 1, 2 ] ]; - $label8= new Label(3.4 ,-.01 , 'Finches ','black',('center','center')); - $label8->font(GD::Font->Giant); - $gra -> lb($label8); - - $label9= new Label(-.04 ,.655 , '2 ','black',('center','center')); - $label9->font(GD::Font->Giant); - $gra -> lb($label9); - $label10= new Label(-.09 ,.955 , '3','black',('center','center')); - $label10->font(GD::Font->Giant); - $gra -> lb($label10); - $label11= new Label(-.09 ,1.255 , '4','black',('center','center')); - $label11->font(GD::Font->Giant); - $gra -> lb($label11); - $label12= new Label(.1 ,1.9 , 'Number','black',('center','center')); - $label12->font(GD::Font->Giant); - $gra -> lb($label12); - $label13= new Label(.1 ,1.78 , 'of ','black',('center','center')); - $label13->font(GD::Font->Giant); - $gra -> lb($label13); +@gr = ('W', 'X', 'Y', 'Z'); - $label13= new Label(.1 ,1.66 , 'birds','black',('center','center')); - $label13->font(GD::Font->Giant); - $gra -> lb($label13); - $label20= new Label(2 , -.5 , 'Bar Graph X ','black',('center','center')); - $label20->font(GD::Font->Giant); - $gra -> lb($label20); -$grb = init_graph(-.3,-.8, 4, 2,size=>[$WIDTH,$HEIGHT]); -for ($x=0;$x<6;$x++) -{$y=.3*$x; -$grb->moveTo(0,$y); -$grb->lineTo(4.7 ,$y ,'black');} -$grb->moveTo(0,0); -$grb->lineTo(0 ,1.5 ,'black'); +for $i (0 .. 3) { -$green = $grb->im->colorAllocate(0,200,0); -$poly = new GD::Polygon; -foreach $pt ([.5,.8], [.8,.8], [.8,2],[.5 ,2 ]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grb->im->filledPolygon($poly,$green); -$poly1 = new GD::Polygon; - foreach $pt ([1.5,1.1], [1.8,1.1], [1.8,2],[1.5 ,2 ]) - {$poly1->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grb->im->filledPolygon($poly1,$green); -$poly2 = new GD::Polygon; -foreach $pt ([2.5,1.4], [2.8,1.4], [2.8,2],[2.5 ,2 ]) - {$poly2->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grb->im->filledPolygon($poly2,$green); -$poly3 = new GD::Polygon; -foreach $pt ([3.5,1.7], [3.8,1.7], [3.8,2],[3.5 ,2 ]) - {$poly3->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grb->im->filledPolygon($poly3,$green); - $label1= new Label(2 ,2 , 'Birds Jeremy Saw ','black',('center','center')); - $label1->font(GD::Font->Giant); - $grb -> lb($label1); - $label2= new Label(.4 ,-.01 , 'Robins ','black',('center','center')); - $label2->font(GD::Font->Giant); - $grb -> lb($label2); - $label3= new Label(-.09 ,.08 , '0','black',('center','center')); - $label3->font(GD::Font->Giant); - $grb -> lb($label3); - $label4= new Label(-.09 ,.355 , '1','black',('center','center')); - $label4->font(GD::Font->Giant); - $grb -> lb($label4); - $label5= new Label(1.8 , -.2 , 'Type of Bird ','black',('center','center')); - $label5->font(GD::Font->Giant); - $grb -> lb($label5); - $label6= new Label(1.3 ,-.01 , 'Blue Jays','black',('center','center')); - $label6->font(GD::Font->Giant); - $grb-> lb($label6); - $label7= new Label(2.4 , -.01 , 'Cardinals','black',('center','center')); - $label7->font(GD::Font->Giant); - $grb -> lb($label7); + $graph[$i] = createTikZImage(); + $graph[$i]->tikzLibraries('arrows.meta'); + $graph[$i]->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-1, -1) rectangle (11, 7); +\draw[->, thick] (-1, 0) -- (10, 0); - $label8= new Label(3.4 ,-.01 , 'Finches ','black',('center','center')); - $label8->font(GD::Font->Giant); - $grb -> lb($label8); - - $label9= new Label(-.04 ,.655 , '2 ','black',('center','center')); - $label9->font(GD::Font->Giant); - $grb -> lb($label9); - $label10= new Label(-.09 ,.955 , '3','black',('center','center')); - $label10->font(GD::Font->Giant); - $grb -> lb($label10); - $label11= new Label(-.09 ,1.255 , '4','black',('center','center')); - $label11->font(GD::Font->Giant); - $grb -> lb($label11); - $label12= new Label(.1 ,1.9 , 'Number','black',('center','center')); - $label12->font(GD::Font->Giant); - $grb -> lb($label12); - $label13= new Label(.1 ,1.78 , 'of ','black',('center','center')); - $label13->font(GD::Font->Giant); - $grb -> lb($label13); +\foreach \x/\label in {2/Robins,4/Blue Jays,6/Cardinals,8/Finches} + \draw(\x,0.25)--(\x,-0.25) node [below] {\label}; +\draw[->, thick] (0, -1) -- (0, 6); +\foreach \y in {1, ..., 5} + \draw (5pt, \y) -- (-5pt, \y) node[left] {\(\y\)}; - $label13= new Label(.1 ,1.66 , 'birds','black',('center','center')); - $label13->font(GD::Font->Giant); - $grb -> lb($label13); +\filldraw[fill=LightSalmon, draw=black] (1.2,0) rectangle (2.8,$w->[$i][0]); +\filldraw[fill=LightBlue, draw=black] (3.2,0) rectangle (4.8,$w->[$i][1]); +\filldraw[fill=Pink, draw=black] (5.2,0) rectangle (6.8,$w->[$i][2]); +\filldraw[fill=LightYellow, draw=black] (7.2,0) rectangle (8.8,$w->[$i][3]); - $label20= new Label(2 , -.5 , 'Bar Graph Y ','black',('center','center')); - $label20->font(GD::Font->Giant); - $grb -> lb($label20); +\draw (5,6) node {Birds $p Saw (Graph $gr[$i])}; +END_TIKZ +} +$rb = RadioButtons(~~@gr, 3); +BEGIN_PGML +[$p] saw some birds during a nature hike. The type of bird [$p->they] saw most often was a robin. The type of bird [$p->they] saw lesat often was a cardinal. -$grc = init_graph(-.3,-.8, 4, 2,size=>[$WIDTH,$HEIGHT]); -for ($x=0;$x<6;$x++) -{$y=.3*$x; -$grc->moveTo(0,$y); -$grc->lineTo(4.7 ,$y ,'black');} -$grc->moveTo(0,0); -$grc->lineTo(0 ,1.5 ,'black'); +[# + [. [!!]{$graph[0]}{300} .] [.[!alt text!]{$graph[1]}{300}.]* + [. [!!]{$graph[2]}{300} .] [.[!alt text!]{$graph[3]}{300}.] +#] -$yellow = $grc->im->colorAllocate(250,250,00); -$poly = new GD::Polygon; -foreach $pt ([.5,.8], [.8,.8], [.8,2],[.5 ,2 ]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grc->im->filledPolygon($poly,$yellow); -$poly1 = new GD::Polygon; - foreach $pt ([1.5,1.1], [1.8,1.1], [1.8,2],[1.5 ,2 ]) - {$poly1->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grc->im->filledPolygon($poly1,$yellow); -$poly2 = new GD::Polygon; -foreach $pt ([2.5,1.7], [2.8,1.7], [2.8,2],[2.5 ,2 ]) - {$poly2->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grc->im->filledPolygon($poly2,$yellow); -$poly3 = new GD::Polygon; -foreach $pt ([3.5,1.4], [3.8,1.4], [3.8,2],[3.5 ,2 ]) - {$poly3->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$grc->im->filledPolygon($poly3,$yellow); - $label1= new Label(2 ,2 , 'Birds Jeremy Saw ','black',('center','center')); - $label1->font(GD::Font->Giant); - $grc -> lb($label1); - $label2= new Label(.4 ,-.01 , 'Robins ','black',('center','center')); - $label2->font(GD::Font->Giant); - $grc -> lb($label2); - $label3= new Label(-.09 ,.08 , '0','black',('center','center')); - $label3->font(GD::Font->Giant); - $grc -> lb($label3); - $label4= new Label(-.09 ,.355 , '1','black',('center','center')); - $label4->font(GD::Font->Giant); - $grc -> lb($label4); - $label5= new Label(1.8 , -.2 , 'Type of Bird ','black',('center','center')); - $label5->font(GD::Font->Giant); - $grc -> lb($label5); - $label6= new Label(1.3 ,-.01 , 'Blue Jays','black',('center','center')); - $label6->font(GD::Font->Giant); - $grc-> lb($label6); - $label7= new Label(2.4 , -.01 , 'Cardinals','black',('center','center')); - $label7->font(GD::Font->Giant); - $grc -> lb($label7); +Which bar graph above could show the number of birds [$p] saw? - $label8= new Label(3.4 ,-.01 , 'Finches ','black',('center','center')); - $label8->font(GD::Font->Giant); - $grc -> lb($label8); - - $label9= new Label(-.04 ,.655 , '2 ','black',('center','center')); - $label9->font(GD::Font->Giant); - $grc -> lb($label9); - $label10= new Label(-.09 ,.955 , '3','black',('center','center')); - $label10->font(GD::Font->Giant); - $grc -> lb($label10); - $label11= new Label(-.09 ,1.255 , '4','black',('center','center')); - $label11->font(GD::Font->Giant); - $grc -> lb($label11); - $label12= new Label(.1 ,1.9 , 'Number','black',('center','center')); - $label12->font(GD::Font->Giant); - $grc -> lb($label12); - $label13= new Label(.1 ,1.78 , 'of ','black',('center','center')); - $label13->font(GD::Font->Giant); - $grc -> lb($label13); - $label13= new Label(.1 ,1.66 , 'birds','black',('center','center')); - $label13->font(GD::Font->Giant); - $grc -> lb($label13); - $label20= new Label(2 , -.5 , 'Bar Graph Z ','black',('center','center')); - $label20->font(GD::Font->Giant); - $grc -> lb($label20); +END_PGML +BEGIN_PGML_SOLUTION +Since Bar Graph Z has more robins than any other bird and fewer Cardinals than any other bird, it is certainly the answer that the NECAP examiners intended and the answer you should give. -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa("Which bar graph (below) could show the number of birds Jeremy saw? ", "Bar Graph Z "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("Bar Graph W "," Bar Graph X" , "Bar Graph Y "); -BEGIN_TEXT -Jeremy saw some birds during a nature hike. The type of bird he saw most often was a robin.$BR -The type of bird he saw least often was a cardinal. $BR +However, Bar Graph W actually also satisfies the requirement since when all are seen equally often, all are seen most often and all are seen least often. It is nice for you to notice this, but it is better to give the answer you know they want than to point out their error if you want a high score. +END_PGML_SOLUTION -\{$radio->print_q()\} -\{$radio->print_a()\} - -$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{ image( insertGraph($gra), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{ image( insertGraph($grb), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{ image( insertGraph($grc), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} - - -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -Since Bar Graph Z has more robins than any other bird and fewer Cardinals than any other bird, $BR -it is certainly the answer that the NECAP examiners intended and the answer you should give.$PAR -However, Bar Graph W actually also satisfies the requirement since when all are seen equally often, all are seen$BR most often -and all are seen least often. It is nice for you to notice this, but it is better to give the answer$BR -you know they want than to point out their error if you want a high score. -END_SOLUTION - -; ENDDOCUMENT(); -## DBsubject(Statistics) -## DBchapter(Exploratory data analysis/descriptive statistics) -## DBsection(Graphical representations) -## MLT(Statistics_Exploratory_EarlyHistograms) -## Level(2) - diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-10s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-10s.pg index d2d810700a..70e03fee2a 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-10s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-10s.pg @@ -1,172 +1,65 @@ -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); - -# make sure we're in the context we want -Context("Numeric"); -$b=4; -$a=-.1; -# now initialize the graph -$graph = init_graph(-1.7,-.7, 4.3,5.1,axes=>[0,0]); -$graph->moveTo(.4,0); -$graph->lineTo(.4 ,$b ,'black'); -$graph->moveTo( .8 ,0); -$graph->lineTo(.8 ,$b ,'black'); -$graph->moveTo(1.2,0); -$graph->lineTo(1.2 ,$b ,'black'); -$graph->moveTo(1.6,0); -$graph->lineTo(1.6 ,$b ,'black'); -$graph->moveTo(2,0); -$graph->lineTo(2 ,$b ,'black'); -$graph->moveTo(2.4,0); -$graph->lineTo(2.4 ,$b ,'black'); -$graph->moveTo(2.8,0); -$graph->lineTo(2.8 ,$b ,'black'); -$graph->moveTo(3.2,0); -$graph->lineTo(3.2 ,$b ,'black'); -$graph->moveTo(3.6,0); -$graph->lineTo(3.6 ,$b ,'black'); - -$graph->moveTo(4,0); -$graph->lineTo(4,4,'black'); - $label1= new Label(-.65 ,.6 , 'Polar Bear ','black',('center','left')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(-.7 ,1.4 , 'Grizly Bear ','black',('center','left')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label(-.65 ,2.2 , 'Blue Whale ','black',('center','left')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label(-.7 , 3 , 'Box Turtle ','black',('center','left')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label(-.7 , 3.8 , 'Bald Eagle ','black',('center','left')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); - $label6= new Label(2, 4.7 , 'Life Span of Animals ','black',('center','center')); - $label6->font(GD::Font->Giant); - $graph-> lb($label6); - $label7= new Label(2 ,-.4 , 'Life Span in Years ','black',('center','center')); - $label7->font(GD::Font->Giant); - $graph -> lb($label7); - $label8= new Label(.4 ,$a , '10 ','black',('center','center')); - $label8->font(GD::Font->Giant); - $graph -> lb($label8); - $label9= new Label(.8 ,$a , '20 ','black',('center','center')); - $label9->font(GD::Font->Giant); - $graph -> lb($label9); - $label10= new Label(1.2 ,$a , '30 ','black',('center','center')); - $label10->font(GD::Font->Giant); - $graph -> lb($label10); - $label11= new Label(1.6 ,$a , '40 ','black',('center','center')); - $label11->font(GD::Font->Giant); - $graph -> lb($label11); - $label12= new Label(2 , $a , '50 ','black',('center','center')); - $label12->font(GD::Font->Giant); - $graph -> lb($label12); - $label13= new Label(2.4 , $a , '60 ','black',('center','center')); - $label13->font(GD::Font->Giant); - $graph -> lb($label13); - $label14= new Label(2.8 ,$a , '70 ','black',('center','center')); - $label14->font(GD::Font->Giant); - $graph -> lb($label14); - $label15= new Label(3.2 , $a , '80 ','black',('center','center')); - $label15->font(GD::Font->Giant); - $graph -> lb($label15); - $label16= new Label(3.6 , $a , '90 ','black',('center','center')); - $label16->font(GD::Font->Giant); - $graph -> lb($label16); - $label17= new Label(4 , $a , '100 ','black',('center','center')); - $label17->font(GD::Font->Giant); - $graph -> lb($label17); -$scale=100; - $poly = new GD::Polygon; -foreach $pt ([1.15,3.4], [1.15,3], [1.65,3], [1.65,3.4]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$black = $graph->im->colorAllocate(0,0,00); -$graph->im->filledPolygon($poly,$black); -$graph->im->setThickness(3); -$graph->im->openPolygon($poly,$graph->{colors}{black}); -$graph->im->setThickness(1); - -$poly2 = new GD::Polygon; -foreach $pt ([1.15,2.85], [1.15,2.45], [1.8,2.45], [1.8,2.85]) - {$poly2->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$black = $graph->im->colorAllocate(0,0,00); -$graph->im->filledPolygon($poly2,$black); -$graph->im->setThickness(3); -$graph->im->openPolygon($poly2,$graph->{colors}{black}); -$graph->im->setThickness(1); - - - - $poly3 = new GD::Polygon; -foreach $pt ([1.15,2.3], [1.15,1.9], [3.27,1.9], [3.27,2.3]) - {$poly3->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$black = $graph->im->colorAllocate(0,0,00); -$graph->im->filledPolygon($poly3,$black); -$graph->im->setThickness(3); -$graph->im->openPolygon($poly3,$graph->{colors}{black}); -$graph->im->setThickness(1); - - $poly4 = new GD::Polygon; -foreach $pt ([1.15,1.75], [1.15,1.35], [3.78,1.35], [3.78,1.75]) - {$poly4->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$black = $graph->im->colorAllocate(0,0,00); -$graph->im->filledPolygon($poly4,$black); -$graph->im->setThickness(3); -$graph->im->openPolygon($poly4,$graph->{colors}{black}); -$graph->im->setThickness(1); - - $poly5 = new GD::Polygon; -foreach $pt ([1.15,1.2], [1.15,.8], [2.21,.8], [2.21,1.2]) - {$poly5->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$black = $graph->im->colorAllocate(0,0,00); -$graph->im->filledPolygon($poly5,$black); -$graph->im->setThickness(3); -$graph->im->openPolygon($poly5,$graph->{colors}{black}); -$graph->im->setThickness(1); - - - - - -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa("Which animal has an average life span that is fives times the average life span of a polar bear? ", "box turtle "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("bald eagle ", "blue whale ", "grizzly bear "); -BEGIN_TEXT -The bar graph below shows the average life span of some animals. -$BR -\{ image( insertGraph($graph), tex_size=>100, - height=>500, width=>500 - ) \} -$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} - -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -The average life span of a box turtle is 100 years. $BR The average life span of the polar bear is 20 years. -END_SOLUTION - -; -ENDDOCUMENT(); - - ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Graphical representations) ## MLT(Statistics_Exploratory_EarlyHistograms) ## Level(1) +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); + +Context("Numeric"); + +$rb = RadioButtons(['Bald Eagle', 'Box Turtle', 'Blue Whale', 'Grizzly Bear', 'Polar Bear'],1); + +@w = (20,25,80,100, 40); + +$graph2 = createTikZImage(); +$graph2->tikzLibraries('arrows.meta'); +$graph2->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-3, -1.5) rectangle (12, 10.5); + +\draw[->, thick] (0, 0) -- (10.5, 0); + +\foreach \y/\label in {1.5/Polar Bear,3/Grizzly Bear,4.5/Blue Whale,6/Box Turtle,7.5/BaldEagle} + \draw(0,\y)--(-0.25,\y) node [left] {\label}; +\draw[-, thick] (0, 0) -- (0, 9.5); +\foreach \x in {10,20,...,100} + \draw ({\x/10}, 5pt) -- ({\x/10}, -5pt) node[below] {\(\x\)}; + +\filldraw[fill=LightBlue, draw=black] (0,1) rectangle ( {$w[0]/10}, 2); +\filldraw[fill=LightGreen, draw=black] (0,2.5) rectangle ( {$w[1]/10}, 3.5); +\filldraw[fill=Plum, draw=black] (0,4) rectangle ( {$w[2]/10}, 5); +\filldraw[fill=LightSalmon, draw=black] (0,5.5) rectangle ( {$w[3]/10}, 6.5); +\filldraw[fill=LightYellow, draw=black] (0,7) rectangle ( {$w[4]/10}, 8); + +\draw (5,9.5) node {Life Spans of Animals}; +\draw (5,-1) node {Life Span in Years}; + +END_TIKZ + +BEGIN_PGML +The bar graph below shows the average life span of some animals. + +>>[! !]{$graph2}{500}<< + +Which animal has an average life span that is five times the average life span of a polar bear? + +[_]{$rb} + +END_PGML + +BEGIN_PGML_SOLUTION +The average life span of a box turtle is 100 years. + +The average life span of the polar bear is 20 years. +END_PGML_SOLUTION + +ENDDOCUMENT(); + diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-15s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-15s.pg index dbea1bfcd1..cdebd3aa7c 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-15s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2005/n5-2005-15s.pg @@ -1,118 +1,72 @@ DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGtikz.pl', 'contextUnits.pl', + 'PGcourse.pl' ); -# make sure we're in the context we want -Context("Numeric"); - -($WIDTH,$HEIGHT,$TEXSIZE)=(270,370,300); -# now initialize the graph -$graph = init_graph(-.6,-.6, 2.1,3.1,size=>[$WIDTH,$HEIGHT]); - -$graph->moveTo(.5,0); -$graph->lineTo(.5 ,3 ,'gray'); -$graph->moveTo(1,0); -$graph->lineTo(1 ,1.5 ,'gray'); -$graph->moveTo(1.5,0); -$graph->lineTo(1.5 ,1.5 ,'gray'); -$graph->moveTo(0,.5); -$graph->lineTo(2 ,.5 ,'gray'); -$graph->moveTo(0,1); -$graph->lineTo(2 ,1 ,'gray'); -$graph->moveTo(1,1.5); -$graph->lineTo(0 ,1.5 ,'gray'); -$graph->moveTo(0,2); -$graph->lineTo(1 ,2 ,'gray'); -$graph->moveTo(0,2.5); -$graph->lineTo(1 ,2.5 ,'gray'); - - -$graph->moveTo(0,0); -$graph->lineTo(2 ,0 ,'black'); -$graph->lineTo(2 ,1.5 ,'black'); -$graph->lineTo(1 ,1.5 ,'black'); -$graph->lineTo(1 ,3 ,'black'); -$graph->lineTo(0 ,3 ,'black'); -$graph->lineTo(0 ,0 ,'black'); - -$graph->moveTo(-.1,0); -$graph->lineTo(-.1 ,.5 ,'black'); -$graph->moveTo(0,-.2); -$graph->lineTo(0,0 ,'black'); -$graph->lineTo(-.2 ,0 ,'black'); -$graph->moveTo(0,-.1); -$graph->lineTo(.5 ,-.1 ,'black'); -$graph->moveTo(.5,-.2); -$graph->lineTo(.5 ,0 ,'black'); -$graph->moveTo(0,.5); -$graph->lineTo(-.2 ,.5 ,'black'); - - - $label1= new Label(-.3 , .35 , '1 ft ','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(.25 ,-.15 , '1 ft ','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - - -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa("What is the perimeter of the garden ", "20 feet "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("20 square feet ", "24 feet ", "24 square feet "); - -$radio2=new_multiple_choice(); -$radio2->qa("What is the area of the garden? ", "18 square feet "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio2->extra("20 square feet ", "18 feet ", "20 feet "); -BEGIN_TEXT - -$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} - -$PAR -\{$radio2->print_q()\} -\{$radio2->print_a()\} - -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -ANS(radio_cmp($radio2->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -The perimeter is the length of the boundary, so it would be in units of feet.$BR -Starting in the lower left and going clockwise the perimeter is the sum of lines -of length$BR \(6+2+3+2+3+4=20\ \)feet.$PAR -An easy way to find the area is to think of the garden as consisting of a -2 foot by 3 foot $BR (= 6 square foot) rectangle at the top of the diagram and a -4 foot by 3 foot (= 12 square foot) rectangle$BR at the bottom. This gives an -area of 18 square feet. - -The question on the NECAP examination had a third part: $BR What is the perimeter of a rectangle that has the same area as the garden?$BR There are many correct answers, including $BR -18 for a rectangle with dimensions 6 feet and 3 feet.$BR -22 for a rectangle with dimensions 9 feet and 2 feet.$BR -\(4 \sqrt{18}=12 \sqrt{2}\) for a square of side \(\sqrt {18}\).$BR -Since there were actually infinitely many correct answers, we could not check all $BR possible answers in WeBWorK and so we did not include the question. - - - -END_SOLUTION - -; +Context('Units')->withUnitsFor("length"); + +# create a rectangular plot with a corner out of it. + +$m = random(5, 9); +$n = random(5, 9); +$x = random(1, 4); +$y = random(1, 4); + +$graph_image = createTikZImage(); +$graph_image->tikzLibraries("arrows.meta"); + +$graph_image->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-2,-2) rectangle ({$m+1.5},{$n+1.5}); + +\draw (0,0) grid ($m, {$n-$y}); +\draw (0,{$n-$y}) grid ({$m-$x}, $n); + +END_TIKZ + +$perim = Compute("(2*$m+2*$n) ft"); + +$area = Compute("($m*$n - $x*$y) ft^2"); + +$alt_text = + "A grid of $m by $n squares with a $x by $y grid in the upper right corner missing."; + +BEGIN_PGML + +A plot of a garden is given below with the length of the side of a small square of 1 foot. + +[! [$alt_text] !]{$graph_image}{400} + +a) Find the perimeter of the garden: [_]{$perim} + +b) Find the area of the garden [_]{$area} + +**Note:** use units on each and [@ helpLink('units') @]* is a list of valid units. + +END_PGML + +BEGIN_PGML_SOLUTION + +The perimeter is the length of the boundary, so it would be in units of feet. Starting in the lower left and going clockwise the perimeter is the sum of lines +of length [$perim]. + +An easy way to find the area is to think of the garden as consisting of a [@ $n-$x @] foot by [@ $y @] foot rectangle at the top of the diagram and a [$m] foot by [@ $n-$y @] foot rectangle. + +The top rectangle has an area of [@ ($n-$x)*$y @] and the bottom rectangle has an area of [@ $m*($n-$y) @]. The total is [$area]. + +END_PGML_SOLUTION + ENDDOCUMENT(); ## DBsubject(Geometry) ## DBchapter(Shapes) ## DBsection(Perimeter) -## Level(1) +## Level(1) \ No newline at end of file diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2009/n5-2009-9s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2009/n5-2009-9s.pg index ca25b1c818..7dae71a923 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2009/n5-2009-9s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade5/gr5-2009/n5-2009-9s.pg @@ -1,110 +1,3 @@ -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); - -# make sure we're in the context we want -Context("Numeric"); - -($WIDTH,$HEIGHT,$TEXSIZE)=(500,500,150); -# now initialize the graph -$graph = init_graph(-.1,-.1, 5.1,5.1,size=>[$WIDTH,$HEIGHT]); - - -$graph->moveTo(1,4.5); -$graph->lineTo(1 ,1 ,'black'); -$graph->lineTo(5 ,1 ,'black'); -for ($x=3;$x<10;$x++) -{$graph->moveTo($x*.5,4.5 ); -$graph->lineTo($x*.5 ,1 ,'black');} -$a=.7; $b=.3;$c=.9;$d=.2; - $label1= new Label(3 , 4.7 , 'Weights of Polar Bears ','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label($a ,4+ +$b , 'Nigel ','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); - $label3= new Label($a ,3.1+$b , 'Libby ','black',('center','center')); - $label3->font(GD::Font->Giant); - $graph -> lb($label3); - $label4= new Label($a ,2.2+$b , 'Yuri ','black',('center','center')); - $label4->font(GD::Font->Giant); - $graph -> lb($label4); - $label5= new Label($a , 1.3 +$b, 'Stella ','black',('center','center')); - $label5->font(GD::Font->Giant); - $graph -> lb($label5); - $label6= new Label(2.8 ,.7 , 'Weight (in pounds) ','black',('center','center')); - $label6->font(GD::Font->Giant); - $graph-> lb($label6); - $label7= new Label(2 ,$c , '100 ','black',('center','center')); - $label7->font(GD::Font->Giant); - $graph -> lb($label7); - $label8= new Label(3 ,$c , '200 ','black',('center','center')); - $label8->font(GD::Font->Giant); - $graph -> lb($label8); - $label9= new Label(4 , $c , '300 ','black',('center','center')); - $label9->font(GD::Font->Giant); - $graph -> lb($label9); - -$scale=100; -$poly = new GD::Polygon; -foreach $pt ([1.05,.8+$d], [3.7,.8+$d], [3.7,.8-$d], [1.05,,.8-$d]) - {$poly->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$blue = $graph->im->colorAllocate(100,100,255); -$graph->im->filledPolygon($poly,$blue); - - -$polya = new GD::Polygon; -foreach $pt ([1.05,1.7+$d], [3.25,1.7+$d], [3.25,1.7-$d], [1.05,,1.7-$d ]) - {$polya->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$green = $graph->im->colorAllocate(100,255,100); -$graph->im->filledPolygon($polya,$green); - -$polyb = new GD::Polygon; -foreach $pt ([1.05,2.6+$d], [3.45,2.6+$d], [3.45,2.6-$d], [1.05,2.6-$d ]) - {$polyb->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$red = $graph->im->colorAllocate(255,100,100); -$graph->im->filledPolygon($polyb,$red); - -$polyc = new GD::Polygon; -foreach $pt ([1.05,3.5+$d], [2.7,3.5+$d], [2.7,3.5-$d], [1.05,,3.5-$d ]) - {$polyc->addPt($pt->[0]*$scale,$pt->[1]*$scale)} -$xx = $graph->im->colorAllocate(200,255,100); -$graph->im->filledPolygon($polyc,$xx); - - -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa("Which polar bear weighs about 225 pounds? ", "Libby "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("Nigel ", "Yuri ", "Stella "); -BEGIN_TEXT -This bar graph shows the weights of four baby polar bears$BR -at a zoo. -$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} - -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -The vertical line between 200 and 300 represents 250 pounds.$BR -Libby's weight is about half way between the 200 pound line $BR -and the 250 pound line, so her weight is about 225 pounds. -END_SOLUTION - -; -ENDDOCUMENT(); ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Graphical representations) @@ -112,3 +5,84 @@ ENDDOCUMENT(); ## MLTleader(1) ## Level(1) +DOCUMENT(); +loadMacros( + 'PGstandard.pl', 'PGML.pl', + 'parserRadioButtons.pl', 'PGtikz.pl', + 'PGcourse.pl' +); + +Context("Numeric"); + +do { + @w = ( + random(175, 350, 25), + random(175, 350, 25), + random(175, 350, 25), + random(175, 350, 25) + ); +} until ( + ( + ($w[0] - $w[1]) * + ($w[0] - $w[2]) * + ($w[0] - $w[3]) * + ($w[1] - $w[2]) * + ($w[2] - $w[3]) != 0 + ) + && ($w[0] == 225 || $w[1] == 225 || $w[2] == 225 || $w[3] == 225) +); + +for $i (0 .. 3) { $pol = $i if $w[$i] == 225; } + +$names = [ 'Stella', 'Yuri', 'Libby', 'Nigel', 'None of them' ]; +$rad = RadioButtons($names, $pol); + +$graph2 = createTikZImage(); +$graph2->tikzLibraries('arrows.meta'); +$graph2->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-2, -1.5) rectangle (10, 10.5); + +\draw[->, thick] (0, 0) -- (8, 0); + +\foreach \y/\label in {2/Stella,4/Yuri,6/Libby,8/Nigel} + \draw(0,\y)--(-0.25,\y) node [left] {\label}; +\draw[-, thick] (0, 0) -- (0, 9.5); +\foreach \x in {100,200,300} + \draw ({\x/50}, 5pt) -- ({\x/50}, -5pt) node[below] {\(\x\)}; + +\filldraw[fill=LightBlue, draw=black] (0,1.5) rectangle ( {$w[0]/50}, 2.5); +\filldraw[fill=LightGreen, draw=black] (0,3.5) rectangle ( {$w[1]/50}, 4.5); +\filldraw[fill=Plum, draw=black] (0,5.5) rectangle ( {$w[2]/50}, 6.5); +\filldraw[fill=LightSalmon, draw=black] (0,7.5) rectangle ( {$w[3]/50}, 8.5); + +\draw (5,9.5) node {Weights of Polar Bears}; +\draw (5,-1) node {Weight (in pounds)}; + +END_TIKZ + +BEGIN_PGML +This bar graph shows the weights of four baby polar bears at a zoo. + + +>>[! !]{$graph2}{400}<< + +Which polar bear weighs about 225 pounds? + +[_]{$rad} + +END_PGML + +BEGIN_PGML_SOLUTION +The vertical line between 200 and 300 represents 250 pounds. +[$names->[$pol]]'s weight is about half way between the 200 pound line +and the 250 pound line, so [$names->[$pol]]'s weight is about 225 pounds. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2007/n6-2007-11s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2007/n6-2007-11s.pg index d45910965d..d6cd6ba16d 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2007/n6-2007-11s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2007/n6-2007-11s.pg @@ -1,35 +1,6 @@ #DESCRIPTION ##Type of #ENDDESCRIPTION - -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -Context("Numeric"); - -BEGIN_TEXT -A square garden has 49 square feet.$PAR So the perimeter of the garden must be -\{ans_rule(2)\} feet - -END_TEXT -ANS(Real(28)->cmp); -BEGIN_SOLUTION -$PAR Solution $PAR -Since the garden is square,each side must be \(\sqrt{49}=7\) feet. $BR -The perimeter is the sum of the lengths of the four 7 foot sides so it is 28 feet. -END_SOLUTION - -; -ENDDOCUMENT(); - ## DBsubject(Geometry) ## DBchapter(Shapes) ## DBsection(Perimeter) @@ -37,3 +8,23 @@ ENDDOCUMENT(); ## Static(1) ## MO(1) +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +$x = random(5, 9); +$xsq = $x**2; + +BEGIN_PGML +A square garden has [$xsq] square feet. So the perimeter of the garden must be +[_]{Real(4*$x)} feet + +END_PGML + +BEGIN_PGML_SOLUTION +Since the garden is square,each side must be [`\sqrt{[$xsq]}=[$x]`] feet. + +The perimeter is the sum of the lengths of the four [$x] foot sides so it is [@ 4*$x @] feet. +END_PGML_SOLUTION + +ENDDOCUMENT(); + diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2008/n6-2008-11rs.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2008/n6-2008-11rs.pg index 1385a40dc3..b4082bdcb2 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2008/n6-2008-11rs.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade6/gr6-2008/n6-2008-11rs.pg @@ -1,41 +1,43 @@ -#DESCRIPTION -##Type of -#ENDDESCRIPTION +## DESCRIPTION +## Determine how many glasses can be filled with some number of cans of juice. +## ENDDESCRIPTION + +## DBsubject(Arithmetic) +## DBchapter(Units) +## DBsection(Conversions) +## Level(4) +## MO(1) DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'randomPerson.pl', 'PGcourse.pl'); + Context("Numeric"); + +$p = randomPerson(); $a=random(5,8,1); -$ans=$a*4; -BEGIN_TEXT -Jeff bought $a quarts of juice for a party. One glass holds 8 fluid ounces of juice.$BR -The total number of glasses that Jeff can fill is \{ans_rule(3)\}. [1 quart = 32 fluid ounces] - -END_TEXT -ANS(Real($ans)->cmp); -BEGIN_SOLUTION -$PAR Solution $PAR -Since each quart is 32 fluid ounces, it will fill four 8 ounce glasses. $BR -That means that $a quarts will fill $ans glasses. -END_SOLUTION - -; -ENDDOCUMENT(); +$amt = random(6,12,2); +$g = $a *32 / $amt; +BEGIN_PGML +[$p] bought [$a] quarts of juice for a party. One glass holds [$amt] fluid ounces of juice. -## DBsubject(Arithmetic) -## DBchapter(Units) -## DBsection(Conversions) -## Level(4) -## MO(1) +The total number of full glasses that [$p->they] can fill is [_]{Real(floor($g))}. + +END_PGML + +# following is additional information if the number of glasses is not an integer. +$soln = $g == floor($g) ? '' : PGML('Since we are looking for full glasses, round down or [@floor($g)@].'); + +BEGIN_PGML_SOLUTION +Using dimensional analysis and starting with the number of quarts of juice: + +[``` +[$a]\;\text{quarts} \cdot \frac{32\;\text{ounces}}{1\;\text{quart}} \cdot +\frac{1\;\text{glass}}{[$amt]\;\text{ounces}} = [$g] +```] + +[$soln]* +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2006/n7-2006-13s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2006/n7-2006-13s.pg index 901142d2c2..b34ed7d240 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2006/n7-2006-13s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2006/n7-2006-13s.pg @@ -1,47 +1,6 @@ - #DESCRIPTION -##Type of -#ENDDESCRIPTION - -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "contextString.pl", - "PGcourse.pl" -); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; - -Context("Numeric")->strings->add(Yes=>{}, No=>{},y=>{alias=>'Yes'},n=>{alias=>'No'}); -BEGIN_TEXT -Travis has a photograph that is 4 inches wide and 6 inches tall.$PAR -a) Travis enlarges the photograph proportionally so that it is 16 inches wide. -So it must be \{ans_rule(1)\} inches tall.$PAR -b) Can Travis enlarge the photograph proportionally to 8 inches by 10 inches?$BR Answer y (for yes) or n (for no). \{ans_rule(1)\} - -END_TEXT -ANS(Real(24)->cmp); - -ANS(String("No")->cmp); -BEGIN_SOLUTION -$PAR Solution $PAR -a) If Travis multiplies the width by 4 to get a width of 16 inches, then to -enlarge $BR he must multiply the height by 4 to get a height of 24 inches. -$PAR -b) If the width is to be 8 inches, which is double 4 inches then the height would -have $BR to be 12 inches. If the height were to be 8 inches, which is \(\frac{4}{3}\times 6\ inches\) then $BR the width would have to be \(\frac{4}{3}\times 4\ inches = 5\frac{1}{3}\ inches\).$BR So it is impossible to enlarge the photograph proportionally to 8 inches by 10 inches.$PAR -ON THE NEAP EXAMINATION YOU WERE ASKED TO EXPLAIN YOUR ANSWER TO b. $BR -SOMETHING SIMILAR TO THE SOLUTION ABOVE WOULD BE REQUIRED FOR FULL CREDIT. -END_SOLUTION - -; -ENDDOCUMENT(); - - - +## DESCRIPTION +## Uses proportions to find the dimensions of an enlarged photograph. +## ENDDESCRIPTION ## DBsubject(Arithmetic) ## DBchapter(Fractions/rational numbers) ## DBsection(Ratio/proportions) @@ -51,3 +10,42 @@ ENDDOCUMENT(); ## Static(1) ## MO(1) +DOCUMENT(); +loadMacros( + 'PGstandard.pl', 'PGML.pl', + 'randomPerson.pl', 'parserPopUp.pl', + 'PGcourse.pl' +); + +Context("Numeric"); + +do { ($w, $h) = (random(3, 8), random(3, 8)); } until ($w != $h); +$factor = random(3, 5); +$p = randomPerson(); + +$dd = DropDown([ 'Yes', 'No' ], 1); + +BEGIN_PGML +[$p] has a photograph that is [$w] inches wide and [$h] inches tall. + +a) [$p->They] [$p->verb('enlarge')] the photograph proportionally so that it is [@ $w*$factor @] inches wide. +So it must be [_]{Real($factor*$h)} inches tall. + +b) Can [$p] enlarge the photograph proportionally to [@2*$w@] inches by [@ 2*$h-2 @] inches? [_]{$dd} + + +END_PGML + +BEGIN_PGML_SOLUTION + +a) Note that the the photograph is enlarged by a factor of [`` \frac{[@$factor*$w@]\;\text{inches}}{[$w]\;\text{inches}} = [$factor]``]. Therefore the height of the enlargement would be [`[$factor] \cdot [$h] = [@ $factor*$h @]`] inches. + +b) If the width is to be enlarged to [@ 2*$w @] inches, which is double the width, then the height would also need to be doubled, however [` [@ 2*$h-2 @] \neq 2 \cdot [$h]`]. So it is impossible to enlarge the photograph proportionally to [@2*$w@] inches by [@ 2*$h-2 @] inches. + +ON THE NEAP EXAMINATION YOU WERE ASKED TO EXPLAIN YOUR ANSWER TO b. + +SOMETHING SIMILAR TO THE SOLUTION ABOVE WOULD BE REQUIRED FOR FULL CREDIT. +END_PGML_SOLUTION + +ENDDOCUMENT(); + diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2007/n7-2007-7s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2007/n7-2007-7s.pg index 6e7503a95e..702202516c 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2007/n7-2007-7s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2007/n7-2007-7s.pg @@ -1,45 +1,40 @@ -#DESCRIPTION -##Type of -#ENDDESCRIPTION +## DESCRIPTION +## Convert the length of a couch from inches to feet. +## ENDDESCRIPTION + +## DBsubject(Arithmetic) +## DBchapter(Units) +## DBsection(Conversions) +## Level(3) DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'randomPerson.pl', 'contextFraction.pl', + 'PGcourse.pl' ); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); + $showPartialCorrectAnswers = 1; -Context("Numeric"); +Context("LimitedProperFraction"); -$radio=new_multiple_choice(); -$radio->qa("How long, in feet, is Gloria's couch [1 foot = 12 inches] ", "\(7 \frac{1}{4}\) "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("\(7 \frac{7}{12}\) ", "\(8 \frac{7}{10}\) ", " \(8 \frac{3}{4}\) "); +$p = randomPerson(); +$l = random(65, 92); -BEGIN_TEXT -Gloria's couch is 87 inches long. -$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} +$length = Fraction($l, 12)->cmp(requireProperFractions => 1); +BEGIN_PGML +[$p]'s couch is [$l] inches long. -END_TEXT -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -\(87=7\times 12 +3\) so the couch is \(7 \frac{3}{12}=7 \frac{1}{4}\) feet long. -END_SOLUTION +How long is [$p->their] couch in feet? [___]{$length} -; -ENDDOCUMENT(); +Note: the answer should be as a mixed number with reduced fractions. +END_PGML -## DBsubject(Arithmetic) -## DBchapter(Units) -## DBsection(Conversions) -## Level(3) +BEGIN_PGML_SOLUTION + +[`87=7\times 12 +3`] so the couch is [`7 \frac{3}{12}=7 \frac{1}{4}`] feet long. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2008/n7-2008-1s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2008/n7-2008-1s.pg index d07f720a6d..3ee1b7fde9 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2008/n7-2008-1s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade7/gr7-2008/n7-2008-1s.pg @@ -1,52 +1,45 @@ -#DESCRIPTION -##Type of -#ENDDESCRIPTION +## DESCRIPTION +## Asks about the definition of a rate. +## ENDDESCRIPTION + +## DBsubject(Arithmetic) +## DBchapter(Fractions/rational numbers) +## DBsection(Ratio/proportions) +## Level(2) DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "answerHints.pl", - "problemPanic.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'parserRadioButtons.pl', 'problemPanic.pl', + 'PGcourse.pl' ); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -Context("Numeric"); -$radio=new_multiple_choice(); -$radio->qa("Which measure describes a rate ", "the amount of money earned per hour "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra("the distance a car is driven ", "the number of points a team scores ", "the total mass of 10 bowling pins "); - -BEGIN_TEXT - \{$radio->print_q()\} -\{$radio->print_a()\} - - - - -END_TEXT -#THIS PART IN ANSWER(NON-TEXT) AREA -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -One dictionary definition of a rate is this:$BR -A certain quantity or amount of one thing considered in relation to$BR - a unit of another thing and used as a standard or measure:$BR at the rate of 60 miles an hour. -$PAR -Only "the amount of money earned per hour" satisfies this definition.$BR -In the other answers thereis only one quantity. -END_SOLUTION -; -ENDDOCUMENT(); +$rb = RadioButtons( + [ [ + "the amount of money earned per hour ", + "the distance a car is driven ", + "the number of points a team scores ", + "the total mass of 10 bowling pins " + ] ], + 0, + labels => 'ABC' +); +BEGIN_PGML +Which measure describes a rate? -## DBsubject(Arithmetic) -## DBchapter(Fractions/rational numbers) -## DBsection(Ratio/proportions) -## Level(2) +[_]{$rb} +END_PGML + +BEGIN_PGML_SOLUTION +One dictionary definition of a rate is this: +A certain quantity or amount of one thing considered in relation to + a unit of another thing and used as a standard or measure: +at the rate of 60 miles an hour. + +Only "the amount of money earned per hour" satisfies this definition. +In the other answers thereis only one quantity. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-14s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-14s.pg index 52cae78c58..d368247b36 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-14s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-14s.pg @@ -1,64 +1,48 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); - -# make sure we're in the context we want -Context("Numeric"); - -($WIDTH,$HEIGHT,$TEXSIZE)=(240,360,150); -# now initialize the graph -$graph = init_graph(-.1,-.3, 2.7,3.3,size=>[$WIDTH,$HEIGHT]); -$graph->moveTo(0,0); -$graph->lineTo(2 ,0 ,'black'); -$graph->lineTo(2 ,2 ,'black'); -$graph->lineTo(0 ,2 ,'black'); -$graph->lineTo(0 ,0 ,'black'); -$black=$graph->im->colorAllocate(0,0,0); -$graph->im->arc(94,132,172,172,180,360,$black); - - $label1= new Label(1 ,-.1 , '36 in. ','black',('center','center')); - $label1->font(GD::Font->Giant); - $graph -> lb($label1); - $label2= new Label(2.5 ,1 , '36 in. ','black',('center','center')); - $label2->font(GD::Font->Giant); - $graph -> lb($label2); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl'); -#NOTE Actual size of box is in the image below -TEXT(beginproblem()); -$radio=new_multiple_choice(); -$radio->qa(" ", " "); -#FIRST PAREN IS QUESTION, SECOND PAREN IS CORRECT ANSWER -$radio->extra(" ", " ", " "); -BEGIN_TEXT -The shape of the window shown below is made up of a square and a semicircle. -$BR -\{ image( insertGraph($graph), tex_size=>$TEXSIZE, - height=>$HEIGHT, width=>$WIDTH - ) \} -$PAR -The area of the window, to the nearest square inch is \{ans_rule(3 )\} square inches. -END_TEXT -ANS(Real(1805)->cmp); - -BEGIN_SOLUTION -$PAR Solution $PAR -The square part has area \(36\times 36=1296\) square inches. $BR -The circular part is a half circle of radius 18 and so has area$BR -\(\frac{1}{2}\pi\times 18^2 = 508.937...\)square inches.$BR So, the -area of the window to the nearest square inch is \(1296+509=1805\) square inches - -$PAR -IN THIS PROBLEM ON THE NECAP EXAM YOU WERE EXPECTED $BR - TO SHOW YOUR WORK. SOMETHING SIMILAR TO THE SOLUTION $BR - ABOVE WOULD BE APPROPRIATE. -END_SOLUTION +$h = random(24, 48, 3); +$w = random(24, 48, 6); + +$graph_image = createTikZImage(); +$graph_image->tikzLibraries("arrows.meta"); +$graph_image->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-5.5,-7.5) rectangle (5.5,5); + +\draw[thick] (4,0) arc [ radius =4, start angle = 0, end angle = 180]; +\draw[thick] (-4,-6) rectangle (4,0); +\draw (0,-6) node [below] {$w in.}; +\draw (4,-3) node [right] {$h in.}; + +END_TIKZ + +$area_circle = pi * ($w / 2)**2; +$area_rect = Real("$w*$h"); + +$area = $area_circle + $area_rect; +BEGIN_PGML +The window below is a rectangle with a semicircle. + +>> [! !]{$graph_image}{400} << + +Find the area of the window: [_]{$area} sq. inches. +END_PGML + +BEGIN_PGML_SOLUTION + +The rectangular part has area [`h \cdot w = [$h]\cdot [$w] =[$area_rect] `] square inches. The circular part is a half circle of radius [`[$w]/2= [@ $w/2 @]`] and so has area +[`\frac{1}{2}\pi\times [@ $w/2 @]^2 = [$area_circle] `] square inches. + +Therefore, the area of the window to the nearest square inch is [`[$area]`] square inches +END_PGML_SOLUTION -; ENDDOCUMENT(); ## DBsubject(Geometry) ## DBchapter(Shapes) @@ -183,7 +167,6 @@ $graph->im->setThickness(1); IF YOU ARE PRACTICING FOR THE NECAP EXAMINATION, DO THIS WITHOUT$BR A CALCULATO THIS IS A NECAP PROBLEM FOR WHICH A CALCULATOR $BR WOULD NOT BE ALLOWED.$PAR - IN THIS PROBLEM ON THE NECAP EXAM YOU WERE EXPECTED $BR TO SHOW YOUR WORK. SOMETHING SIMILAR TO THE SOLUTION $BR - ABOVE WOULD BE APPROPRIATE. + ABOVE WOULD BE APPROPRIATE. \ No newline at end of file diff --git a/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-4s.pg b/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-4s.pg index 52730b54d9..31d9029198 100644 --- a/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-4s.pg +++ b/OpenProblemLibrary/NewHampshire/NECAP/grade8/gr8-2009/n8-2009-4s.pg @@ -1,43 +1,30 @@ #DESCRIPTION -##Type of +## Find the area of an enlarged photograph. #ENDDESCRIPTION - -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -Context("Numeric"); -Context()->texStrings; -$radio=new_multiple_choice(); -$radio->qa("What will be the area of the poster? ", "2000 square inches"); -$radio->extra("80 square inches", "195 square inches","400 square inches"); - - -BEGIN_TEXT -To make a poster, Jeff will enlarge the length and width of a photograph$BR -by a scale factor of 5. The photograph is 8 inches wide and 10 inches long.$PAR -\{$radio->print_q()\} -\{$radio->print_a()\} - -END_TEXT -Context()->normalStrings; -ANS(radio_cmp($radio->correct_ans())); -BEGIN_SOLUTION -$PAR Solution $PAR -Enlarging by a scale factor of 5 will change the 8 inch width to 40 inches $BR -and the 10 inch length to 50 inches. The area will then be \(40\times 50=2000\) square inches. -END_SOLUTION - -; -ENDDOCUMENT(); ## DBsubject(Geometry) ## DBchapter(Shapes) ## DBsection(Area) ## Level(3) + +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +$x = list_random(4, 5, 8, 10, 12); +$y = list_random(4, 5, 8, 10, 12); + +$scale = random(3, 5); +$area = Real($scale**2 * $x * $y); + +BEGIN_PGML +To make a poster, Jeff will enlarge the length and width of a photograph by a scale factor of [$scale]. The photograph is [$x] inches wide and [$y] inches long. What will be the area of the poster? + +Area = [_]{$area}{10} square inches + +END_PGML + +BEGIN_PGML_SOLUTION + +Enlarging by a scale factor of [$scale] will change the [$x] inch width to [@ $x*$scale @] inches and the [$y] inch length to [@ $y*$scale @] inches. The area will then be [`[@ $x*$scale @] \times[@ $y*$scale @] =[$area]`] square inches. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/unh_schoolib/Distance_Angle/dansrs101.pg b/OpenProblemLibrary/NewHampshire/unh_schoolib/Distance_Angle/dansrs101.pg index 973aaafed5..73d097467f 100644 --- a/OpenProblemLibrary/NewHampshire/unh_schoolib/Distance_Angle/dansrs101.pg +++ b/OpenProblemLibrary/NewHampshire/unh_schoolib/Distance_Angle/dansrs101.pg @@ -1,86 +1,62 @@ #DESCRIPTION ##Type of #ENDDESCRIPTION +## DBsubject(Geometry) +## DBchapter(Circle geometry) +## DBsection(Circumference and area) +## Level(2) +## MO(1) DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "MathObjects.pl", - "answerHints.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', 'PGtikz.pl', + 'PGcourse.pl' ); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -Context("Numeric"); -Context()->flags->set(tolerance=>0.005,tolType=>"absolute"); -$r=random(71,79,1)/10; -$pi=3.1416; -$circ =2*$pi*$r; -$area=$pi*$r**2; -$graph = init_graph(-1.2,-1.2, 1.2,1.2, size=>[400,400 ]); -$func = Compute("sqrt{1-x**2}"); -$fund = Compute("-sqrt{1-x**2}"); -plot_functions( $graph, "$func for x in " . -"<-1,1> using color:blue " . -"and weight:2"); -plot_functions( $graph, "$fund for x in " . -"<-1,1> using color:blue " . -"and weight:2"); - $graph->moveTo(0,0); - $graph->lineTo(.7071 ,.7071 ,'black'); - -$label1= new Label(-0.01,-.06,'o','black',('bottom','left')); - $graph -> lb($label1); -$label2= new Label(.4,.4,"$r cm",'black',('bottom','left')); - $graph -> lb($label2); -BEGIN_TEXT -$PAR -$BCENTER -\{ image( insertGraph($graph), tex_size=>100, - height=>300, width=>300 - ) \} -$ECENTER -$PAR -The circumference of a circle with radius $r cm is \{ans_rule(5)\} cm. -$BR Your answer must be accurate to two decimal places. -$PAR -The area of a circle with radius $r cm is \{ans_rule(5)\} square cm. -$BR Your answer must be accurate to two decimal places. - -END_TEXT -ANS(Real($circ)->cmp); -ANS(Real($area)->cmp - -->withPostFilter(AnswerHints( - "181.45" => "Did you forget to round your answer?", - sub { - my ($correct,$student,$ans) = @_; - return $correct . $student == 0; - } - - ))); -BEGIN_SOLUTION -$PAR Solution $PAR -The circumference of a circle is \(2 \pi\) times the radius (where \(\pi\) is approximately 3.1416. $BR -\(2\times 3.1416\times $r= $circ\).$PAR -The area of a circle is \(\pi\) times the square of the radius.$BR -\(3.1416\times $r^2=$area\). -END_SOLUTION - - - -; -ENDDOCUMENT(); +Context("Numeric")->flags->set(tolerance => 0.005, tolType => "absolute"); +$r = random(7.1, 7.9, 0.1); +$circ = Real(2 * pi * $r); +$area = Real(pi * $r**2); -## DBsubject(Geometry) -## DBchapter(Circle geometry) -## DBsection(Circumference and area) -## Level(2) -## MO(1) +$graph_image = createTikZImage(); +$graph_image->tikzLibraries("arrows.meta"); +$graph_image->BEGIN_TIKZ +\tikzset{>={Stealth[scale = 1.5]}} +\filldraw[ + draw = LightBlue, + fill = white, + rounded corners = 10pt, + thick, + use as bounding box +] (-5.5,-5.5) rectangle (5.5, 5.5); +\draw[very thick, DarkBlue] (0,0) circle[radius = 5]; +\draw (0,0) -- ({5*cos(30)},{5*sin(30)}) node [midway, above left] {$r cm}; +END_TIKZ + +BEGIN_PGML +>> [! A circle of radius [$r] !]{$graph_image}{400} << + + +a) The circumference of a circle with radius [$r] cm is [_]{$circ}{5} cm. + + Your answer must be accurate to two decimal places. + +b) The area of a circle with radius [$r] cm is [_]{$area}{5} square cm. + + Your answer must be accurate to two decimal places. + +END_PGML + +BEGIN_PGML_SOLUTION + + Solution +The circumference of a circle is [`2 \pi`] times the radius (where [`\pi`] is approximately 3.1416. +[`2\times 3.1416\times [$r]= [$circ]`]. + +The area of a circle is [`\pi`] times the square of the radius. +[`3.1416\times [$r]^2=[$area]`]. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/unh_schoolib/Interpret_Verbal_Description/ivdsnm103.pg b/OpenProblemLibrary/NewHampshire/unh_schoolib/Interpret_Verbal_Description/ivdsnm103.pg index 95bc2f2bae..c5738ead67 100644 --- a/OpenProblemLibrary/NewHampshire/unh_schoolib/Interpret_Verbal_Description/ivdsnm103.pg +++ b/OpenProblemLibrary/NewHampshire/unh_schoolib/Interpret_Verbal_Description/ivdsnm103.pg @@ -1,39 +1,6 @@ -DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); -TEXT(beginproblem()); -# Make a new multiple choice -$mc = new_multiple_choice(); -$mc -> qa (# Notice that the first string is the question - "A recipe for punch says to mix 3 part ginger ale with 5 parts$BR -fruit juice. Which mixture satisfies this 3:5 ratio", - # The second string is the correct - "6 quarts of ginger ale, 10 quarts of fruit juice ", -); -$mc ->extra( - "4 cups of ginger ale, 6 cups of fruit juice", - "6 liters of ginger ale, 8 liters of fruit juice", - "8 gallons of ginger ale, 15 gallons of fruit juice", -); -BEGIN_TEXT - -\{$mc -> print_q \} -$PAR -\{$mc -> print_a\} -END_TEXT -ANS(str_cmp( $mc->correct_ans ) ) ; -BEGIN_SOLUTION -$PAR Solution $PAR - - -Notice that if we think of a part as 2 quarts then 3 parts is 6 quarts and $BR 10 quarts is 5 parts. Thus the answer is $PAR - 6 quarts of ginger ale, 10 quarts of fruit juice $PAR -If you look at any other answer the amounts are not in the proper ratio. -END_SOLUTION -ENDDOCUMENT(); +## DESCRIPTION +## Determine the amount of integredient in a punch mixture using ratios. +## ENDDESCRIPTION ## DBsubject(Arithmetic) ## DBchapter(Fractions/rational numbers) @@ -42,4 +9,36 @@ ENDDOCUMENT(); ## MLTleader(1) ## Level(4) +DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); + +do { + ($a, $b) = (random(2,5), random(2,5)); +} until (gcd($a,$b) == 1); + +$k= random(2,4); +($g, $j) = ($a*$k, $b*$k); + +# some wrong answers: +($g1, $j1) = ($b, $a); +($g2, $j2) = ($k*$b, $k*$a); +($g3, $j3) = (2*$a, 2*$b+3); + +$rb = RadioButtons([["$g quarts of ginger ale, $j quarts of fruit juice ", + "$g1 cups of ginger ale, $j2 cups of fruit juice", + "$g2 liters of ginger ale, $j2 liters of fruit juice", + "$g3 gallons of ginger ale, $j3 gallons of fruit juice"]],0, labels => "ABC"); + +BEGIN_PGML +A recipe for punch says to mix [$a] parts ginger ale with [$b] parts +fruit juice. Which mixture satisfies this [$a]:[$b] ratio + +[_]{$rb} + +END_PGML + +BEGIN_PGML_SOLUTION +If we write down the ratios of all of the options, the only one with the [$a]:[$b] (ginger ale to fruit juice) is [$rb]. +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/NewHampshire/unh_schoolib/Wordy/worsrs101.pg b/OpenProblemLibrary/NewHampshire/unh_schoolib/Wordy/worsrs101.pg index 11faa648b6..a1423f19bb 100644 --- a/OpenProblemLibrary/NewHampshire/unh_schoolib/Wordy/worsrs101.pg +++ b/OpenProblemLibrary/NewHampshire/unh_schoolib/Wordy/worsrs101.pg @@ -1,44 +1,33 @@ #DESCRIPTION ##Type of #ENDDESCRIPTION - -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); -#for currency use Context("Currency") then Currency($A); -#Then, in the text use $DOLLAR $a -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -Context("Numeric"); -Context()->texStrings; -$f=random(5,9,1); -$a= 10*$f; -$ans=2*$f+2*10; -BEGIN_TEXT -Max has a rectangular plot that is $a square meters in area. He keeps his five goats,$BR -his twelve chickens and his brown and white horse in the plot which is enclosed $BR on all four sides by a white picket fence. The length of the plot is -10 meters. $BR So the total length of the white picket fence is -\{ans_rule(1)\} meters. - -END_TEXT -Context()->normalStrings; - -ANS(Real($ans)->cmp); -BEGIN_SOLUTION -$PAR Solution $PAR -If the length of the plot is 10 meters and the area is $a square meters then$BR -the width must be \($a/10=$f\) meters. The length of the fence is the perimeter$BR of the plot which is \(2\times 10 +2\times $f=$ans\) meters. -END_SOLUTION - -; -ENDDOCUMENT(); ## DBsubject(Geometry) ## DBchapter(Shapes) ## DBsection(Perimeter) ## Level(1) ## MO(1) +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'randomPerson.pl', 'PGcourse.pl'); + +$p = randomPerson(); +$f = random(5, 9); +$a = 10 * $f; +$ans = 2 * $f + 2 * 10; +BEGIN_PGML +[$p] has a rectangular plot that is [$a] square meters in area. [$p->They] keeps [$p->their] five goats, +[$p->their] twelve chickens and [$p->their] brown and white horse in the plot which is enclosed +on all four sides by a white picket fence. The length of the plot is +10 meters. + +So the total length of the white picket fence is [_]{$ans} meters. + +END_PGML + +BEGIN_PGML_SOLUTION +If the length of the plot is 10 meters and the area is [$a] square meters then +the width must be [`[$a]/10=[[$f]]`] meters. The length of the fence is the perimeter +of the plot which is [`2\times 10 +2\times [$f]=[$ans]`] meters. +END_PGML_SOLUTION + +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/OSU/high_school_apcalc/dchmwk6/prob10.pg b/OpenProblemLibrary/OSU/high_school_apcalc/dchmwk6/prob10.pg index 9468fd8bf6..db9e45fa69 100644 --- a/OpenProblemLibrary/OSU/high_school_apcalc/dchmwk6/prob10.pg +++ b/OpenProblemLibrary/OSU/high_school_apcalc/dchmwk6/prob10.pg @@ -11,52 +11,35 @@ ## Level(3) ## KEYWORDS('calculus','critical point','minimum','maximum') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGchoicemacros.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; -$m = random(2,9,1); -$n = 2*random(2,5,1)-1; -$a = -random(int($n/$m)+1,int($n/$m)+3,1); -$b = random(1,4,1); +$m = random(2, 9); +$n = 2 * random(2, 5) - 1; +$a = -random(int($n / $m) + 1, int($n / $m) + 3); +$b = random(1, 4); ##max $x1 = $b; -$y1 = $x1**$n*exp($m*$x1); +$y1 = $x1**$n * exp($m * $x1); ##min -$x2 = -$n/$m; -$y2 = $x2**$n*exp($m*$x2); - -TEXT(EV2(<constants->remove('pi'); -Context()->variables->are(pi=>'Real'); -Context()->variables->set(pi => {TeX=>'\pi'}); - -$circumferenceWithPiMO = FormulaWithUnits("$diameter pi" , 'm'); -$areaWithPiMO = FormulaWithUnits("$radiusSquared pi", 'm^2'); +Context()->variables->are(pi => 'Real'); +Context()->variables->set(pi => { TeX => '\pi' }); - -############################################## - -TEXT(beginproblem()); +$circumferenceWithPiMO = FormulaWithUnits("$diameter pi", 'm'); +$areaWithPiMO = FormulaWithUnits("$radiusSquared pi", 'm^2'); BEGIN_PGML @@ -76,32 +66,31 @@ d) This circle's area, rounded to the hundredth place, is [_____________]. END_PGML - -ANS($circumferenceWithPiMO->cmp( - correct_ans_latex_string=>$circumferenceWithPiMO->TeX - )-> - withPostFilter(AnswerHints( - sub { - my ($correct,$student,$ans) = @_; - return (Formula($student)->isConstant); - } => "Your answer should be in terms of pi", -)) +ANS( + $circumferenceWithPiMO->cmp( + correct_ans_latex_string => $circumferenceWithPiMO->TeX + )->withPostFilter(AnswerHints( + sub { + my ($correct, $student, $ans) = @_; + return (Formula($student)->isConstant); + } => "Your answer should be in terms of pi", + )) ); -ANS($circumferenceMO->cmp(tolType=>absolute,tolerance=>0.005)); - -ANS($areaWithPiMO->cmp( - correct_ans_latex_string=>$areaWithPiMO->TeX)-> - withPostFilter(AnswerHints( - sub { - my ($correct,$student,$ans) = @_; - return (Formula($student)->isConstant); - } => "Your answer should be in terms of pi", -)) +ANS($circumferenceMO->cmp(tolType => absolute, tolerance => 0.005)); + +ANS( + $areaWithPiMO->cmp( + correct_ans_latex_string => $areaWithPiMO->TeX + )->withPostFilter(AnswerHints( + sub { + my ($correct, $student, $ans) = @_; + return (Formula($student)->isConstant); + } => "Your answer should be in terms of pi", + )) ); -ANS($areaMO->cmp(tolType=>absolute,tolerance=>0.005)); - +ANS($areaMO->cmp(tolType => absolute, tolerance => 0.005)); ############################################## @@ -132,8 +121,6 @@ b) [``\begin{aligned}[t] \end{aligned}``] Don't forget the length unit [`\textrm{m}`]. - - c) [``\begin{aligned}[t] A&= \pi r^{2}\\ diff --git a/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/CircleCircumferenceArea30.pg b/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/CircleCircumferenceArea30.pg index 663c9fb5db..ad6ed37e1f 100644 --- a/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/CircleCircumferenceArea30.pg +++ b/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/CircleCircumferenceArea30.pg @@ -23,36 +23,27 @@ DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGML.pl", - "parserNumberWithUnits.pl", - "parserFormulaWithUnits.pl", - "answerHints.pl", - "PGcourse.pl" + "PGstandard.pl", "PGML.pl", + "parserNumberWithUnits.pl", "parserFormulaWithUnits.pl", + "answerHints.pl", "PGcourse.pl" ); ############################################## Context("Numeric"); -$radius = random(2,10,1); -$diameter = $radius*2; +$radius = random(2, 10, 1); +$diameter = $radius * 2; -$radiusU = NumberWithUnits("$radius mm"); +$radiusU = NumberWithUnits("$radius mm"); $diameterU = NumberWithUnits("$diameter mm"); Context()->constants->remove('pi'); -Context()->variables->are(pi=>'Real'); -Context()->variables->set(pi => {TeX=>'\pi'}); +Context()->variables->are(pi => 'Real'); +Context()->variables->set(pi => { TeX => '\pi' }); -$circum = Formula("$diameter pi"); -$circumU = FormulaWithUnits("$diameter pi" , 'mm'); - - -############################################## - -TEXT(beginproblem()); +$circum = Formula("$diameter pi"); +$circumU = FormulaWithUnits("$diameter pi", 'mm'); BEGIN_PGML @@ -66,8 +57,6 @@ b) This circle's radius is [_____________]{$radiusU}. END_PGML -############################################## - BEGIN_PGML_SOLUTION We use [`r`] to represent radius, and [`d`] to represent diameter. diff --git a/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/RectanglePerimeterArea20.pg b/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/RectanglePerimeterArea20.pg index bd0bc36f24..476bf1f6a9 100644 --- a/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/RectanglePerimeterArea20.pg +++ b/OpenProblemLibrary/PCC/BasicAlgebra/Geometry/RectanglePerimeterArea20.pg @@ -22,30 +22,22 @@ DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGgraphmacros.pl", - "MathObjects.pl", - "PGML.pl", - "parserNumberWithUnits.pl", - "PGcourse.pl" + "PGstandard.pl", "PGML.pl", + "parserNumberWithUnits.pl", "PGcourse.pl" ); ############################################## Context("Numeric"); -$base = random(20,30,1); -$baseU = NumberWithUnits("$base cm"); -$height = random(10,19,1); +$base = random(20, 30); +$baseU = NumberWithUnits("$base cm"); +$height = random(10, 19); $heightU = NumberWithUnits("$height cm"); -$perimeter = 2*($base+$height); +$perimeter = 2 * ($base + $height); $perimeterU = NumberWithUnits("$perimeter cm"); -############################################## - -TEXT(beginproblem()); - BEGIN_PGML A rectangle's perimeter is [`[$perimeterU]`]. Its base is [`[$baseU]`]. @@ -56,9 +48,7 @@ A rectangle's perimeter is [`[$perimeterU]`]. Its base is [`[$baseU]`]. END_PGML -############################################## - -$s1 = 2*$base; +$s1 = 2 * $base; $s2 = $perimeter - $s1; BEGIN_PGML_SOLUTION diff --git a/OpenProblemLibrary/PCC/BasicAlgebra/LinearEquationApplications/ProportionWordProblem30.pg b/OpenProblemLibrary/PCC/BasicAlgebra/LinearEquationApplications/ProportionWordProblem30.pg index 88c5ba1174..9ac6255eb2 100644 --- a/OpenProblemLibrary/PCC/BasicAlgebra/LinearEquationApplications/ProportionWordProblem30.pg +++ b/OpenProblemLibrary/PCC/BasicAlgebra/LinearEquationApplications/ProportionWordProblem30.pg @@ -1,3 +1,4 @@ +# DESCRIPTION # WeBWorK problem written by Carl Yao, 2013 # Portland Community College # @@ -5,7 +6,7 @@ # # Last updated: Yao, 6/26/13 # ENDDESCRIPTION - + ## DBCCSS('6.RP','7.RP.2','7.RP.3','A-CED.1') ## DBsubject(Arithmetic) ## DBchapter(Fractions/rational numbers) @@ -17,43 +18,28 @@ ## Level(3) ## MO(1) ## KEYWORDS('rate','ratio','proportion','solve','word problem') - + ############################################## DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGML.pl", - "PCCmacros.pl", - "PGcourse.pl" + "PGstandard.pl", "PGML.pl", + "PCCmacros.pl", 'randomPerson.pl', + "PGcourse.pl" ); -############################################## - - -Context("Numeric"); +$b = random(2, 7, 1); +$factor = list_random(4 .. 9); +$d = $b * $factor; +$a = random(2, 7, 1); +while (gcd($b, $a) != 1) { $a = random(2, 7, 1); } -$b = random(2,7,1); - -$factor=list_random(4 .. 9); -$d = $b*$factor; - -$a = random(2,7,1); -while (gcd($b,$a)!=1) {$a = random(2,7,1);} - -$ans = $a*$d/$b; +$ans = $a * $d / $b; Context("LimitedNumeric"); -$ans=Compute($ans); - - -############################################## - -TEXT(beginproblem()); - -$name = RandomName(); +$ans = Compute($ans); +$name = randomPerson(); BEGIN_PGML @@ -63,10 +49,6 @@ According to a recipe, each serving of [$name]'s Famous BBQ sauce uses [`[$a]`] END_PGML -############################################## - - - BEGIN_PGML_SOLUTION This recipe uses [`[$a]`] teaspoons of ketchup _per_ [`[$b]`] teaspoons of vinegar. So we should consider ratios of the form [`\frac{A \textrm{ teaspoons of ketchup}}{B \textrm{ teaspoons of vinegar}}`]. diff --git a/OpenProblemLibrary/PCC/BasicMath/FractionsCalculation/EquivalentFraction20.pg b/OpenProblemLibrary/PCC/BasicMath/FractionsCalculation/EquivalentFraction20.pg index ef6f5b1fc3..dbc6518590 100644 --- a/OpenProblemLibrary/PCC/BasicMath/FractionsCalculation/EquivalentFraction20.pg +++ b/OpenProblemLibrary/PCC/BasicMath/FractionsCalculation/EquivalentFraction20.pg @@ -1,3 +1,4 @@ +## DESCRIPTION # WeBWorK problem written by Carl Yao # Portland Community College # @@ -20,30 +21,27 @@ ## MO(1) ## KEYWORDS('equivalent','fraction') - ############################################## DOCUMENT(); loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGML.pl", - "contextFraction.pl", - "PGcourse.pl" + "PGstandard.pl", "MathObjects.pl", + "PGML.pl", "contextFraction.pl", + "PGcourse.pl" ); ############################################## Context("LimitedNumeric"); -$den1 = random(2,9,1); -do {$num1 = random(1,$den1-1,1);} until (gcd($num1,$den1)==1); +$den1 = random(2, 9, 1); +do { $num1 = random(1, $den1 - 1, 1); } until (gcd($num1, $den1) == 1); -$factor=random(2,5,1); +$factor = random(2, 5, 1); -$den2 = $factor*$den1; -$num2 = $factor*$num1; +$den2 = $factor * $den1; +$num2 = $factor * $num1; ############################################## diff --git a/OpenProblemLibrary/PCC/BasicMath/Rate/UseRatio20.pg b/OpenProblemLibrary/PCC/BasicMath/Rate/UseRatio20.pg index 177f305d7c..789c005299 100644 --- a/OpenProblemLibrary/PCC/BasicMath/Rate/UseRatio20.pg +++ b/OpenProblemLibrary/PCC/BasicMath/Rate/UseRatio20.pg @@ -1,3 +1,4 @@ +# DESCRIPTION # WeBWorK problem written by Carl Yao # Portland Community College # @@ -27,10 +28,8 @@ DOCUMENT(); loadMacros( "PGstandard.pl", - "MathObjects.pl", "PGML.pl", "contextCurrency.pl", - "contextFraction.pl", "PGcourse.pl" ); diff --git a/OpenProblemLibrary/PCC/BasicMath/UnitConversion/UnitConversionAmerican170.pg b/OpenProblemLibrary/PCC/BasicMath/UnitConversion/UnitConversionAmerican170.pg index 03ca21f92c..126b1e6bd3 100644 --- a/OpenProblemLibrary/PCC/BasicMath/UnitConversion/UnitConversionAmerican170.pg +++ b/OpenProblemLibrary/PCC/BasicMath/UnitConversion/UnitConversionAmerican170.pg @@ -1,11 +1,11 @@ # WeBWorK problem written by Carl Yao # Portland Community College -# + # Change 3 tons to pounds. # Change 2400000 pounds to tons. -# + # Last edited: Carl Yao 12/6/14 -# + # ENDDESCRIPTION ## DBCCSS('5.MD.1') @@ -20,36 +20,17 @@ ## MO(1) ## KEYWORDS('rate','proportion','unit','conversion','American') - -############################################## - DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGML.pl", - "PGcourse.pl" -); - -############################################## - -TEXT(beginproblem()); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); Context("LimitedNumeric"); Context()->{format}{number} = "%9d"; -$t1 = random(2,9,1); -$lb1 = $t1*2000; -$t2 = random(11,99,1)*100; -$lb2 = $t2*2000; - -#$sex = list_random('male','female'); -#$name = RandomName(sex=>$sex); -#$pronoun = ($sex eq 'male') ? 'he' : 'she'; -#$possessive = ($sex eq 'male') ? 'his' : 'her'; - -############################################## +$t1 = random(2, 9); +$lb1 = $t1 * 2000; +$t2 = random(11, 99) * 100; +$lb2 = $t2 * 2000; BEGIN_PGML @@ -65,9 +46,6 @@ It's given that [` 1 \text{ ton} = 2000 \text{ lb} `]. Do the following unit con END_PGML - -############################################## - BEGIN_PGML_SOLUTION ####Cancelling Unit Method diff --git a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_45.pg b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_45.pg index e3e20c0d90..1dd5221542 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_45.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives10MaxMin/s3_1_45.pg @@ -15,35 +15,31 @@ ## Problem1('35') ## KEYWORDS('Optimization', 'Absolute', 'Extrema','Calculus','Derivatives') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -$a1 = random(3,7,1); -$coef2 = 2*$a1*$a1; -$coef0 = random(1,11,1); +$a1 = random(3,7); +$coef2 = 2*$a1**2; +$coef0 = random(1,11); + +$f = Compute("x^4 - $coef2 x^2 + $coef0")->reduce; + +# df = 4x^3 - 4 $a1^2 x = 4x(x^2-a1^2) = 4x (x-a1)(x+a1) +# critcal points at x=-a1, 0, a1 + +# Set up the interval for min at x=a1 and max at d1 $e1 = -$a1+1; $d1 = 2*$a1+1; -##min at $b1 -##max at -$a1 -TEXT(EV2(<eval(x => $a1)} + +b) [`f`] has an absolute maximum value of [_]{$f->eval(x => $d1)} +END_PGML + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_2.pg b/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_2.pg index 3663311a1d..38a7fe63f2 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_2.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_2.pg @@ -21,29 +21,18 @@ ## Problem2('32 11 15') ## KEYWORDS('derivatives', 'antiderivatives') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +DOCUMENT(); # This should be the first executable line in the problem. -$a = random(2,20,1); -$sign = random(-1,1,2); -$a = $a * $sign; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -BEGIN_TEXT -Let \( \displaystyle f(x) = \frac{$a}{\sqrt{1-x^2}} \). -$BR Enter an antiderivative of \( f(x) \). -$BR \{ans_rule(40) \} -END_TEXT +$a = random(-1,1,2) * random(2,20); -$antideriv="$a * asin(x)"; +BEGIN_PGML +Let [` \displaystyle f(x) = \frac{[$a]}{\sqrt{1-x^2}} `]. -ANS(fun_cmp($antideriv, mode=>"antider")); +Enter an antiderivative of [` f(x) `]. [_]{Formula("$a * asin(x)")} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_3.pg b/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_3.pg index 404545b1ed..af7dfa72b4 100644 --- a/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_3.pg +++ b/OpenProblemLibrary/Rochester/setDerivatives20Antideriv/ur_dr_20_3.pg @@ -21,29 +21,23 @@ ## Problem2('9 32 39') ## KEYWORDS('derivatives', 'antiderivatives') +## Updated 2025.03 by Peter Staab, switch to PGML and add a solution. + DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; -$a = random(2,20,1); +$a = random(2,20); $sign = random(-1,1,2); $a = $a * $sign; -BEGIN_TEXT -Let \( \displaystyle f(x) = \frac{$a}{x^2+1} \). -$BR Enter an antiderivative of \( f(x) \) -$BR \{ans_rule(40) \} -END_TEXT +BEGIN_PGML +Let [` \displaystyle f(x) = \frac{[$a]}{x^2+1} `]. -$antideriv="$a * atan(x)"; +Enter an antiderivative of [` f(x) `] -ANS(fun_cmp($antideriv, mode=>"antider")); +[_]{Formula("$a * atan(x)")}{40} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_3_mo.pg b/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_3_mo.pg index 42333cafb8..db325f3aa9 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_3_mo.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals0Theory/sc5_2_3_mo.pg @@ -14,86 +14,51 @@ ## MO(1) ## KEYWORDS('integral' 'summation' 'area' 'riemann') -DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -TEXT(beginproblem()); -######################################## -# Setup -Context("Numeric"); -$showPartialCorrectAnswers = 1; +DOCUMENT(); # This should be the first executable line in the problem. +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +Context("Numeric"); Context()->flags->set(reduceConstants=>0); Context()->flags->set(reduceConstantFunctions=>0); -$a = random(0,5,1); ## left endpoint -$dx = random(2,4,1); ## delta x -$n = random(3,4,1); +$a = random(0,5); ## left endpoint +$dx = random(2,4); ## delta x +$n = random(3,4); $b = $a + $n*$dx; ## right endpoint, 3 subdivisions -$c = random(2,4,1); -$d = random(2,4,1); -$e = random(1,6,1); +$c = random(2,4); +$d = random(2,4); +$e = random(1,6); -$f = Formula("$c*x**2 + $d*x + $e"); +$f = Formula("$c*x^2 + $d*x + $e"); -# The following function receives a value and returns the value of the function $f at the value of the input -sub myfunc { - $x = shift @_; - return $f->eval(x=>"$x"); -} -# This foreach loop populates an array of value of the function $f at 0,1,...,n-1 -@array = (); -foreach $i (0 .. $n - 1) { -push (@array, myfunc($a + $dx*$i)); -} +# find the function values on the left and right endpoints. -$str = join("+" , @array); # Create a string out of the arrays values -$left = Compute("$dx*($str)"); # Riemann approx with left endpoints +@left_fvalues = map { $f->eval( x => $a + $dx*$_)} (0..$n-1); +@right_fvalues = map { $f->eval( x => $a + $dx*$_)} (1..$n); -# This foreach loop populates an array of value of the function $f at 1,...,n -@array = (); -foreach $i (1 .. $n) { -push (@array, myfunc($a + $dx*$i)); +($L, $R) = (0, 0); +for $i (0..$n-1) { + $L += $dx * $left_fvalues[$i]; + $R += $dx * $right_fvalues[$i]; } -$str = join("+" , @array); # Create a string out of the arrays values -$right = Compute("$dx*($str)"); # Riemann approx with right endpoints - -######################################## -# Main Text - -Context()->texStrings; -BEGIN_TEXT - -Consider the integral \[ \int_{$a}^{$b} ($f)\,dx \] -$PAR -(a) Find the Riemann sum for this integral using left endpoints and \( n= $n \). -$PAR -\(L_$n =\) \{ans_rule(50)\} -$PAR -(b) Find the Riemann sum for this same integral, using right endpoints and \( n = $n \). -$PAR -\(R_$n =\) \{ans_rule(50)\} +BEGIN_PGML -END_TEXT -Context()->normalStrings; +Consider the integral [``` \int_{[$a]}^{[$b]} ([$f])\,dx ```] -######################################## -# Answers +a) Find the Riemann sum for this integral using left endpoints and [` n= [$n] `]. -ANS($left->cmp); -ANS($right->cmp); + [`L_[$n] =`] [_]{Real($L)} -######################################## +b) Find the Riemann sum for this same integral, using right endpoints and [` n = [$n] `]. + [`R_[$n] =`] [_]{Real($R)} -; +END_PGML -; -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/Rochester/setIntegrals14Substitution/sc5_5_44_mo.pg b/OpenProblemLibrary/Rochester/setIntegrals14Substitution/sc5_5_44_mo.pg index d3ebe58ccc..0e01476d0e 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals14Substitution/sc5_5_44_mo.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals14Substitution/sc5_5_44_mo.pg @@ -29,62 +29,26 @@ ## Problem3('54') ## KEYWORDS('integral' 'substitution','integrals', 'substitution','Calculus', 'Riemann Integral', 'integrals', 'substitution rule') -## Before doing anything, we must import the macro definitions on the next few lines. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "MathObjects.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; - -############################################################## -# -# Setup -# -# Context("Numeric"); -Context()->variables->add(t=>'Real'); -Context()->flags->set(reduceConstants=>0); +Context()->variables->add(t => 'Real'); +Context()->flags->set(reduceConstants => 0); -$a = Real( random(2,4,1) ); -$soln = Compute("2/$a") ; +$a = Real(random(2, 4)); +$soln = Compute("2/$a"); $integrand = Compute(" sin ($a t)"); -$lower_endpoint = 0; -$upper_endpoint = "\pi/$a"; #Compute("pi/$a") ; - -############################################################## -# -# Text -# -# -Context()->texStrings; -BEGIN_TEXT +BEGIN_PGML Evaluate the definite integral. -$PAR \[ \int_{$lower_endpoint}^{$upper_endpoint} $integrand dt \] -$PAR\{ans_rule( 30) \} -$BR -END_TEXT -Context()->normalStrings; - - -############################################################## -# -# Answers -# -# - - -ANS($soln->cmp); + [`` \int_{0}^{\pi/[$a]} [$integrand] dt ``] = [_]{$soln} -; +END_PGML -; ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_4.pg b/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_4.pg index 3ae44da0cf..fc8d4f48c6 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_4.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_4.pg @@ -18,37 +18,24 @@ ## Problem1('47') ## KEYWORDS('Calculus', 'Riemann Integral','Integral', 'Definite') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +DOCUMENT(); -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -$a = random(3,9,1); -$b = $a + 1; -$c = (2**$b - 1)/$b; +Context('Numeric')->variables->are(b => Real); -BEGIN_TEXT -\( \displaystyle \int_b^{2b} x^{$a}\, dx \) = -$BR -\{ans_rule(30)\} -$PAR -END_TEXT +$a = random(3, 9); +$b = $a + 1; +$c = (2**$b - 1) / $b; -ANS(fun_cmp("$c*b**$b", vars=>"b")); +BEGIN_PGML +Evaluate the following. -##set $PG_environment{'textbook'} in webworkCourse.ph -if (defined($textbook)) { - if ($textbook eq "EllisGulick5") { -BEGIN_TEXT -END_TEXT -} -} +[`` \int_b^{2b} x^{[$a]}\, dx ``] =[_]{Compute("$c*b^$b")} -ENDDOCUMENT(); # This should be the last executable line in the problem. +**Note:** the result should be a function of [`b`]. +END_PGML +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_6.pg b/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_6.pg index 7f2e5aab6e..3f8dc06665 100644 --- a/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_6.pg +++ b/OpenProblemLibrary/Rochester/setIntegrals3Definite/osu_in_3_6.pg @@ -4,7 +4,6 @@ ## Tagged by cmd6a 4/26/06 - ## DBsubject(Calculus - single variable) ## DBchapter(Integrals) ## DBsection(Definite integrals (without trigonometric functions)) @@ -31,38 +30,28 @@ ## Problem3('57') ## KEYWORDS('Calculus', 'Riemann Integral','Definite', 'Integral', 'Piecewise','integrals', 'definite', 'piecewise defined') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); -$showPartialCorrectAnswers = 1; +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -$a = random(3,9,1); -$b = random(-4,0,1); -$ans = 0.5 - $b**2/2 + log($a); +$a = random(3,9); +$b = random(-4,0); +$ans = Compute("0.5 - ($b)**2/2 + ln($a)"); -TEXT(beginproblem()); -BEGIN_TEXT +BEGIN_PGML Consider the function -\[f(x) = \left\lbrace\begin{array}{ll}x &\text{if } x<1\\ \frac{1}{x} &\text{if } x\ge 1\end{array}\right.\] +[``` +f(x) = \begin{cases} x & \text{if $x<1$} \\ +\dfrac{1}{x} & \text{if $x \geq 1$} +\end{cases} +```] + Evaluate the definite integral. -\[ \int_{$b}^{$a} f(x)\,dx \] -\{ans_rule() \} -$PAR -END_TEXT -ANS(num_cmp($ans)); +[`` \int_{[$b]}^{[$a]} f(x)\,dx ``] = [_]{Real($ans)} -##set $PG_environment{'textbook'} in webworkCourse.ph -if (defined($textbook)) { - if ($textbook eq "EllisGulick5") { -BEGIN_TEXT -END_TEXT -} -} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/Rochester/setStatistics1Data/ur_stt_1_1.pg b/OpenProblemLibrary/Rochester/setStatistics1Data/ur_stt_1_1.pg index 2efdae27fc..75c90560dc 100644 --- a/OpenProblemLibrary/Rochester/setStatistics1Data/ur_stt_1_1.pg +++ b/OpenProblemLibrary/Rochester/setStatistics1Data/ur_stt_1_1.pg @@ -16,51 +16,64 @@ ## Problem1('1') ## KEYWORDS('Qualitative', 'Quantitative','statistics', 'introduction', 'concepts') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; +@event = ( + "Your college GPA.", + "The amount of bacteria on a piece of moldy bread.", + "The marital status of your coworkers.", + "The occupation of your neighbors.", + "The time it takes for your car to get an oil change.", + "How long it takes you to run a mile.", + "The condition of a used car you're thinking about purchasing." +); + +@ans = (0, 0, 1, 1, 0, 0, 1); -@event = ("Your college GPA.", - "The amount of bacteria on a piece of moldy bread.", - "The marital status of your coworkers.", - "The occupation of your neighbors.", - "The time it takes for your car to get an oil change.", - "How long it takes you to run a mile.", - "The condition of a used car you're thinking about purchasing."); -@ans = ("QUANTITATIVE", "QUANTITATIVE", "QUALITATIVE", "QUALITATIVE", "QUANTITATIVE", "QUANTITATIVE", - "QUALITATIVE"); +$opts = [ 'Quantitative', 'Categorical' ]; -@slice = NchooseK(4,4); -@sevent = (@event[@slice]); -@sans = (@ans[@slice]); +@slice = random_subset(4, 0 .. 6); +@sevent = @event[@slice]; -BEGIN_TEXT +@dd = map { DropDown($opts, $ans[$_]) } @slice; + +BEGIN_PGML Determine whether the following examples of data are quantitative or qualitative. -Write "QUANTITATIVE" for quantitative and "QUALITATIVE" for qualitative. (without quotations) $PAR -(a) \( \) $sevent[0] $BR -answer: \{ans_rule(20)\} $PAR -(b) \( \) $sevent[1] $BR -answer: \{ans_rule(20)\} $PAR -(c) \( \) $sevent[2] $BR -answer: \{ans_rule(20)\} $PAR -(d) \( \) $sevent[3] $BR -answer: \{ans_rule(20)\} - -END_TEXT -ANS(str_cmp($sans[0])); -ANS(str_cmp($sans[1])); -ANS(str_cmp($sans[2])); -ANS(str_cmp($sans[3])); - -COMMENT('Questions selected randomly from a larger set. See source for full question list.'); - -ENDDOCUMENT(); # This should be the last executable line in the problem. + +a) [$sevent[0]] + + answer: [_]{$dd[0]} + +b) [$sevent[1]] + + answer: [_]{$dd[1]} + +c) [$sevent[2]] + + answer: [_]{$dd[2]} + +d) [$sevent[3]] + + answer: [_]{$dd[3]} + +END_PGML + +BEGIN_PGML_SOLUTION +In general, quantitative variables are numeric and categorical is not. The answers are + +a) [$dd[0]] +b) [$dd[1]] +c) [$dd[2]] +d) [$dd[3]] +END_PGML_SOLUTION + +COMMENT( + 'Questions selected randomly from a larger set. See source for full question list.' +); + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/Rochester/setStatistics6CorrelationRegression/ur_stt_6_3.pg b/OpenProblemLibrary/Rochester/setStatistics6CorrelationRegression/ur_stt_6_3.pg index 4e8e3b75a4..58c9ec35fa 100644 --- a/OpenProblemLibrary/Rochester/setStatistics6CorrelationRegression/ur_stt_6_3.pg +++ b/OpenProblemLibrary/Rochester/setStatistics6CorrelationRegression/ur_stt_6_3.pg @@ -12,57 +12,63 @@ ## Level(3) ## KEYWORDS('Correlation', 'Coefficient') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGnumericalmacros.pl", - "PGstatisticsmacros.pl", - "PGcourse.pl" -); - -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; - -for($i=0; $i<7; $i++) { - $x[$i] = random(-2,4,1); - $y[$i] = random(0,6,1); -} +## Updated 2025.02 by Peter Staab, switch to PGML and added a solution. -$sx = 0; -$sy = 0; -$sxy = 0; -$sx2 = 0; -$sy2 = 0; -for($i=0; $i<7; $i++) { - $sx = $sx + $x[$i]; - $sy = $sy + $y[$i]; - $sxy = $sxy + ($x[$i]*$y[$i]); - $sx2 = $sx2 + ($x[$i]**2); - $sy2 = $sy2 + ($y[$i]**2); -} +DOCUMENT(); # This should be the first executable line in the problem. + +loadMacros('PGstandard.pl', 'PGML.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -$ssxy = $sxy-(($sx*$sy)/7); -$ssx = $sx2-(($sx**2)/7); -$ssy = $sy2-(($sy**2)/7); +Context('Numeric'); -$r = $ssxy/sqrt($ssx*$ssy); +for $i (0 .. 7) { + $x[$i] = random(-2, 4, 1); + $y[$i] = random( 0, 6, 1); + $table->[$i] = [$x[$i], $y[$i]]; +} + +$r = sample_correlation(~~@x, ~~@y); - -BEGIN_TEXT +BEGIN_PGML Given the following data set, -\{begintable(8)\} -\{row("\(x\)", "\($x[0]\)", "\($x[1]\)", "\($x[2]\)", "\($x[3]\)", "\($x[4]\)", "\($x[5]\)", "\($x[6]\)")\} -\{row("\(y\)", "\($y[0]\)", "\($y[1]\)", "\($y[2]\)", "\($y[3]\)", "\($y[4]\)", "\($y[5]\)", "\($y[6]\)")\} -\{endtable()\} -$BR -Compute the coefficient of correlation \(r\) $BR -\(r = \) \{ans_rule(20)\} -END_TEXT -ANS(num_cmp($r)); +[# [. [`x`] .] [. [`y`] .]*{headerrow => 1} + [. .]{rows => $table} +#] + +Compute the coefficient of correlation. + +[`r = `] [_]{Real([$r])}{20} +END_PGML + +($sumx, $sumy, $sumxy, $sumxsq, $sumyssq) = (0, 0, 0, 0, 0); +for $i (0 .. 7) { + $sumx += $x[$i]; + $sumy += $y[$i]; + $sumxy += $x[$i] * $y[$i]; + $sumxsq += $x[$i]**2; + $sumysq += $y[$i]**2; + $data->[$i] = [ '', $x[$i], $y[$i], $x[$i] * $y[$i], $x[$i]**2, $y[$i]**2 ]; +} +BEGIN_PGML_SOLUTION +This dataset is small enough to do by hand with a table. Create the following table with + +[# [. .][.[`x`].][.[`y`].][. [`xy`] .] [.[`x^2`].] [. [`y^2`] .]*{headerrow => 1} + [. .]*{rows => $data} + [. .]*{rowbottom => 1} + [. Sum .] [. [$sumx] .] [.[$sumy].][.[$sumxy].] [.[$sumxsq].] [.[$sumysq].] +#] + +Next, we use the formula for correlation (there are a number of equivalent formulas.) -ENDDOCUMENT(); # This should be the last executable line in the problem. +[``` +\begin{aligned} +r & = \frac{ n \sum x_i y_i - \sum x_i \sum y_i} +{\sqrt{n \sum x_i^2 - (\sum x_i)^2}\sqrt{n \sum y_i^2 - (\sum y_i)^2}} \\ +& = \frac{8 ([$sumxy]) - ([$sumx])([$sumy])} +{\sqrt{8 ([$sumxsq]) - ([$sumx])^2}\sqrt{8 ([$sumysq]) - ([$sumy])^2}} = +[$r] +\end{aligned} +```] +END_PGML_SOLUTION +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/UBC/ECON/ECON325/hw01/hw01_q02.pg b/OpenProblemLibrary/UBC/ECON/ECON325/hw01/hw01_q02.pg index 69ba60a303..6a7a9c7f82 100644 --- a/OpenProblemLibrary/UBC/ECON/ECON325/hw01/hw01_q02.pg +++ b/OpenProblemLibrary/UBC/ECON/ECON325/hw01/hw01_q02.pg @@ -1,4 +1,4 @@ -######################################################### + ##KEYWORDS('History of statistics'; 'Canada'; 'identify first official ##statistician of Canada'.) # DESCRIPTION @@ -11,56 +11,31 @@ ## Level(2) ## level('1') -######################################################### DOCUMENT(); -## Initializations: (Required) -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "parserRadioButtons.pl", - "MathObjects.pl", - "parserMultiAnswer.pl", - "answerHints.pl", - "PGcourse.pl" -); - -$gans="Mode of travel to university (bus, car, bike or walk)"; -$gq1= "Grade Point Average (GPA)"; -$gq2="Number of Economics courses"; -$gq3="Age (in years)"; -$gq4="Number of hours of study per week"; -$mc1 = new_multiple_choice(); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -$mc1 -> qa( "Below is a list of variables from an annual survey of university students. Variables may be classified as either numerical or categorical. Which variable is categorical?", $gans); +Context('Numeric'); -$mc1 -> extra( - $gq1, - $gq2, - $gq3, - $gq4, +$radio = RadioButtons( + [ [ + 'Mode of travel to university (bus, car, bike or walk)', + 'Grade Point Average (GPA)', + 'Number of Economics courses', + 'Age (in years)', + 'Number of hours of study per week' + ] ], + 0 ); -######################################################### -## Main Text: where all text goes (Required) -Context()->texStrings; -BEGIN_TEXT -$PAR -\{ $mc1->print_q() \} -$BR -\{ $mc1->print_a() \} -$BR -END_TEXT +BEGIN_PGML +Below is a list of variables from an annual survey of university students. Variables may be classified as either numerical or categorical. Which variable is categorical? -######################################################### -## Answers evaluation (Required) -ANS(radio_cmp($mc1->correct_ans()) ); +[_]{$radio} +END_PGML -######################################################### -## Solution (Optional but recommended) -Context()->texStrings; -BEGIN_SOLUTION +BEGIN_PGML_SOLUTION The answer is mode of travel to university (bus, car, bike or walk). -END_SOLUTION +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q2.pg b/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q2.pg index 019d3375ab..66d989c22b 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q2.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q2.pg @@ -1,8 +1,7 @@ #DESCRIPTION -## Statistics: Introduction +## Determine if a variable is quantitative or categorical. ##ENDDESCRIPTION - ## Tagged by Jonathan Baik ## 2014-04-01 @@ -22,36 +21,18 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -####### - -$mc = new_multiple_choice(); -$mc->qa( -"What type of variable is ~~"${BITALIC}monthly rainfall in Vancouver${EITALIC}~~"?", -"quantitative" -); -$mc->extra( -"categorical", -); -$mc->makeLast("none of the above"); - -####### - -BEGIN_TEXT -\{ $mc->print_q() \} -$BR -\{ $mc->print_a() \} -END_TEXT +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -####### +$radio = RadioButtons([ 'quantitative', 'categorical', 'none of these' ], 0); -$showPartialCorrectAnswers = 1; +BEGIN_PGML + What type of variable is _"monthly rainfall in Vancouver"_? + +[_]{$radio} +END_PGML -ANS( radio_cmp( $mc->correct_ans() ) ); +BEGIN_PGML_SOLUTION +Since rainfall is measured in inches or centimeters, it is a quantitative variable. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q3.pg b/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q3.pg index 27a3fb6ac7..43d46b9341 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q3.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT200/hw01/hw01-q3.pg @@ -2,7 +2,6 @@ ## Statistics: Introduction ##ENDDESCRIPTION - ## Tagged by Jonathan Baik ## 2014-04-01 @@ -13,47 +12,25 @@ ## Institution(University of BC) ## Author(Lance R) ## Level(1) -## TitleText1('No Text') -## AuthorText1('?') -## EditionText1('?') -## Section1('.') -## Problem1('3') -## KEYWORDS('statistics', 'multiple choice', 'variables') - -DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -####### - -$mc = new_multiple_choice(); -$mc->qa( -"Which of the following is ${BBOLD}NOT${EBOLD} a display method for categorical data:", -"histogram" -); -$mc->extra( -"bar chart", -"frequency table", -"pie chart", -); +DOCUMENT(); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -####### +$rb = RadioButtons( + [ [ 'histogram', "bar chart", "frequency table", "pie chart" ] ], 0); -BEGIN_TEXT -\{ $mc->print_q() \} -$BR -\{ $mc->print_a() \} -END_TEXT +BEGIN_PGML +Which of the following is **NOT** a display method for categorical data: -####### +[_]{$rb} -$showPartialCorrectAnswers = 1; +END_PGML -ANS( radio_cmp( $mc->correct_ans() ) ); +BEGIN_PGML_SOLUTION +A histogram requires numerical data, whereas the other methods can be used for categorical data. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q5.pg b/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q5.pg index 47f69bb7e3..783b6dc2e7 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q5.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q5.pg @@ -2,7 +2,6 @@ ## Statistics: Introduction ##ENDDESCRIPTION - ## Tagged by Jonathan Baik ## 2014-04-01 @@ -13,49 +12,35 @@ ## Institution(University of British Columbia) ## Author(Lance R) ## Level(2) -## TitleText1('No Text') -## AuthorText1('?') -## EditionText1('?') -## Section1('.') -## Problem1('8') ## KEYWORDS('statistics', 'multiple choice', 'correlation') DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -####### - -TEXT( beginproblem() ); - -$mc = new_multiple_choice(); -$mc->qa( -"For which of the following pairs of variables would it be appropriate to calculate the correlation coefficient (\(r\))?", -"Time spent studying for the final exam and score on the exam for STAT 200 students." +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); + +$radio = RadioButtons( + [ [ + 'Time spent studying for the final exam and score on the exam for STAT 200 ' + . 'students.', + 'Income of student and the name of the company that employs them, for STAT 200 ' + . 'students who work part time.', + 'Cell phone brand and monthly cell phone charges for phones used by STAT 200 ' + . 'students.', + 'Political party affiliation of STAT 200 students and whether they voted in the ' + . 'previous Alma Mater Society (AMS) elections.' + ] ], + 0, + labels => 'ABC' ); -$mc->extra( -"Income of student and the name of the company that employs them, for STAT 200 students who work part time.", -"Cell phone brand and monthly cell phone charges for phones used by STAT 200 students.", -"Political party affiliation of STAT 200 students and whether they voted in the previous Alma Mater Society (AMS) elections.", -); - - -####### - -BEGIN_TEXT -\{ $mc->print_q() \} -$BR -\{ $mc->print_a() \} -END_TEXT -####### +BEGIN_PGML +For which of the following pairs of variables would it be appropriate to calculate the correlation coefficient ([`r`])? -$showPartialCorrectAnswers = 1; +[_]{$radio} +END_PGML -ANS( radio_cmp( $mc->correct_ans() ) ); +BEGIN_PGML_SOLUTION +A correlation coefficient is best done between two quantitative variables. The only option listed is [$radio]. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q6.pg b/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q6.pg index e7a5c4efa8..5952980e9e 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q6.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT200/hw02/hw02-q6.pg @@ -1,8 +1,7 @@ #DESCRIPTION -## Statistics: Introduction +## Statistics: Find a correlation coefficient. ##ENDDESCRIPTION - ## Tagged by Jonathan Baik ## 2014-04-01 @@ -13,52 +12,23 @@ ## Institution(UBC) ## Author(Lance R) ## Level(2) -## TitleText1('No Text') -## AuthorText1('?') -## EditionText1('?') -## Section1('.') -## Problem1('9') ## KEYWORDS('statistics', 'probability', 'random variables') DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); - -TEXT( beginproblem() ); - -####### - -$mc = new_multiple_choice(); -$mc->qa( -"A past STAT 200 student tells you that there is a very strong positive linear association between the STAT 200 final exam score and the WeBWorK Assignment total. What is a plausible value of the correlation coefficient (\(r\))?", -"0.95" -); -$mc->extra( -"0.01", -"0.56", -"-0.95", -"1.1", -"-1.1", -); - - - -####### - -BEGIN_TEXT -\{ $mc->print_q() \} -$BR -\{ $mc->print_a() \} -END_TEXT +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); -####### +$radio = RadioButtons([ [ '0.95', '0.01', '0.56', '-0.95', '1.1', '-1.1', ] ], + 0, labels => 'ABC'); -$showPartialCorrectAnswers = 1; +BEGIN_PGML +A past STAT 200 student tells you that there is a very strong positive linear association between the STAT 200 final exam score and the WeBWorK Assignment total. What is a plausible value of the correlation coefficient ([`r`])? + +[_]{$radio} +END_PGML -ANS( radio_cmp( $mc->correct_ans() ) ); +BEGIN_PGML_SOLUTION +If there is a strong positive relationship, the you should look for a positive number close to 1 and recall that [` -1 \leq r \leq 1`]. Among the options is [$radio]. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q02.pg b/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q02.pg index fe1092ddd1..ec20e52bdb 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q02.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q02.pg @@ -1,3 +1,7 @@ +## DESCRIPTION +## Determine among a list of scenarios, which are categorical. +## ENDDESCRIPTION + ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Classifying data) @@ -15,29 +19,29 @@ Context('Numeric'); $checks = CheckboxList( [ [ - "Counting the number of students in STAT 200 with black hair, brown hair, blonde hair, white hair, red hair, another hair colour, or bald.", - "A doctor designates newborns as having low birth weight if they weigh less than 2500g (5.5 pounds), and as not having low birth weight otherwise.", - "The professor is interested in the nationality of the students taking STAT 200. A WeBWorK question was made to ask the students their nationality.", - "MacroSoft wants to measure the number of computers owned by households in Vancouver, BC, in order to sell more software." + 'Counting the number of students in STAT 200 with black hair, brown hair, ' . + 'blonde hair, white hair, red hair, another hair colour, or bald.', + 'A doctor designates newborns as having low birth weight if they weigh ' . + 'less than 2500g (5.5 pounds), and as not having low birth weight otherwise.', + 'The professor is interested in the nationality of the students taking ' . + 'Introduction to Statistics. A WeBWorK question was made to ask the '. + 'students their nationality.', + 'MacroSoft wants to measure the number of computers owned by households ' . + 'in Vancouver, BC, in order to sell more software.' ], 'None of the Above' ], [ 0 .. 2 ], - labels => "ABC" + labels => 'ABC' ); -# $mc1 = new_checkbox_multiple_choice(); - -# $mc1->qa( -# ); -# $mc1->extra( - -# ); -# $mc1->makeLast("None of the above"); - BEGIN_PGML Which of the following show examples of collecting categorical data? CHECK ALL THAT APPLY. [_]{$checks} END_PGML +BEGIN_PGML_SOLUTION +Recall that quantitative data is numerical and non-numerical date is generally categorical. The answer to this is [$checks]. +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q03.pg b/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q03.pg index 0dbd82e113..e1446825f8 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q03.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT203/hw01/hw01-q03.pg @@ -1,4 +1,6 @@ -## level(3) +## DESCRIPTION +## Which of a set of varabiables are quantitative. +## ENDDESCRIPTION## level(3) ## DBsubject(Statistics) ## DBchapter(Exploratory data analysis/descriptive statistics) ## DBsection(Classifying data) @@ -25,7 +27,6 @@ $checks = CheckboxList( labels => "ABC" ); -####### BEGIN_PGML Which of the following selected variables, associated with clinical trials of a drug, are quantitative variables? *CHECK ALL THAT APPLY* @@ -34,4 +35,10 @@ drug, are quantitative variables? *CHECK ALL THAT APPLY* END_PGML +BEGIN_PGML_SOLUTION +Quantative variables are numeric. Note that Age is categorized into decades, so no longer quantitative and the dosage is categorized into a number (probably for coding), so also not quantitative. + +The solution to this is [$checks]. +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UBC/STAT/STAT203/hw03/hw03-q02.pg b/OpenProblemLibrary/UBC/STAT/STAT203/hw03/hw03-q02.pg index 75bad4303f..2bf6c5c8ed 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT203/hw03/hw03-q02.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT203/hw03/hw03-q02.pg @@ -22,9 +22,6 @@ loadMacros( 'parserCheckboxList.pl', 'PGML.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); - -####### $days = [ 'Sunday', 'Monday', 'Tuesday', 'Wednesday', diff --git a/OpenProblemLibrary/UBC/STAT/STAT203/hw04/hw04-q05.pg b/OpenProblemLibrary/UBC/STAT/STAT203/hw04/hw04-q05.pg index adacd5cadc..fb27e75e0c 100644 --- a/OpenProblemLibrary/UBC/STAT/STAT203/hw04/hw04-q05.pg +++ b/OpenProblemLibrary/UBC/STAT/STAT203/hw04/hw04-q05.pg @@ -9,40 +9,31 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGcourse.pl'); + +$rb = RadioButtons( + [ [ + 'they both have the same sign.', + "they do not depend on the units of measurement of the data.", + "they both fall between -1 and 1 inclusive.", + "neither of them can be affected by outliers.", + "both can be used for prediction." + ] ], + 0, + labels => 'ABC' ); -####### -TEXT( beginproblem() ); +BEGIN_PGML +Finish the following sentence. -$mc = new_multiple_choice(); -$mc->qa( -"The slope of a regression line and the correlation are similar in the sense that...", -"they both have the same sign." -); -$mc->extra( -"they do not depend on the units of measurement of the data.", -"they both fall between -1 and 1 inclusive.", -"neither of them can be affected by outliers.", -"both can be used for prediction." -); - - -####### - -BEGIN_TEXT -\{ $mc->print_q() \} -$BR -\{ $mc->print_a() \} -END_TEXT +The slope of a regression line and the correlation are similar in the sense that... -####### +[_]{$rb} -$showPartialCorrectAnswers = 1; +END_PGML -ANS( radio_cmp( $mc->correct_ans() ) ); +BEGIN_PGML_SOLUTION +The only reasonable solution is that they both have the same sign. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/UCSB/Stewart5_5_4/Stewart5_5_4_10.pg b/OpenProblemLibrary/UCSB/Stewart5_5_4/Stewart5_5_4_10.pg index bbfae16a68..efef26a179 100644 --- a/OpenProblemLibrary/UCSB/Stewart5_5_4/Stewart5_5_4_10.pg +++ b/OpenProblemLibrary/UCSB/Stewart5_5_4/Stewart5_5_4_10.pg @@ -14,32 +14,27 @@ DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "MathObjects.pl", - "PGcourse.pl" -); - -TEXT(&beginproblem); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserFormulaUpToConstant.pl', 'PGcourse.pl'); + $showPartialCorrectAnswers = 1; -$a=random(1,10,1)*random(-1,1,2); -$b=random(1,10,1)*random(-1,1,2); -$c=random(1,10,1)*random(-1,1,2); -Context("Numeric"); -Context()->variables->add(C => "Real"); -BEGIN_TEXT - -$PAR +$a=random(1,10)*random(-1,1,2); +$b=random(1,10)*random(-1,1,2); +$c=random(1,10)*random(-1,1,2); + + +$antideriv = FormulaUpToConstant("$a/3*x^3+$b*x+$c*arctan(x)"); +BEGIN_PGML + Using an upper-case "C" for any arbitrary constants, find the general indefinite integral: -\[\int {\left($a x^2 + $b +\frac{$c}{x^2+1}\right)}\,dx\] +[```\int {\left([$a] x^2 + [$b] +\frac{[$c]}{x^2+1}\right)}\,dx```] + +Integral = [_]{$antideriv}{40} -$PAR -Integral = \{ans_rule(40)\} +END_PGML -END_TEXT +BEGIN_PGML_SOLUTION +Integral this term by term. +END_PGML_SOLUTION -# ANS(fun_cmp("1/3*$a*x^3+$b*x+$c*arctan(x)+C", var=>["x","C"])); -ANS(Compute("1/3*$a*x^3+$b*x+$c*arctan(x) + C")->cmp(upToConstant=>1)); -ENDDOCUMENT(); +ENDDOCUMENT(); \ No newline at end of file diff --git a/OpenProblemLibrary/UVA-Stat/setStat212-Homework02/stat212-HW02-07.pg b/OpenProblemLibrary/UVA-Stat/setStat212-Homework02/stat212-HW02-07.pg index 0d390121cc..4be9b95816 100644 --- a/OpenProblemLibrary/UVA-Stat/setStat212-Homework02/stat212-HW02-07.pg +++ b/OpenProblemLibrary/UVA-Stat/setStat212-Homework02/stat212-HW02-07.pg @@ -14,81 +14,68 @@ ## TitleText1('Statistics for Management and Economics') ## AuthorText1('Keller, Warrack') ## EditionText1('6') -## Section1('.') -## Problem1('') ## KEYWORDS('statistics', 'descriptive statistics') +# Updated 2025.04 by Peter Staab (Fitchburg State University). Converted to PGML, +# and added a solution. + DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserPopUp.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 0; -install_problem_grader(~~&std_problem_grader); - -# True false questions are a special case of a "select list" -# Make a new select list - -$tf = new_select_list(); - -# $tf now "contains" the select list object. -# Insert some questions and whether or not they are true. - -$tf->rf_print_q(~~&pop_up_list_print_q); - -$tf -> ra_pop_up_list( [ No_answer => " ?", T => "True", F => "False"] ); - - -$tf -> qa ( # each entry has to end with a comma -"The coefficient of variation allows us to compare the variation in two sets of data based on -different measurement units.", -"T", -"If the coefficient of correlation \(r = \pm 1\), then the best-fit linear equation will -actually include all of the data points.", -"T", -"The coefficient of correlation r is a number that indicates the direction and -the strength of the relationship between the dependent variable y and the independent variable x.", -"T", -"If the coefficient of correlation r = 0, then there is no linear -relationship between the dependent variable y and the independent variable x.", -"T", -"Since the sample is always smaller than the population, the sample mean is always -smaller than the population mean.", -"F", -"Expressed in percentiles, the interquartile range is the difference between -the 25th and the 75th percentiles.", -"T", -"A straight line that slopes upward and exactly fits all data points would produce a correlation coefficient value of one.", -"T", -"When the standard deviation is expressed as a percentage of the mean, the -result is the coefficient of correlation", -"F", + +# Make an array of questions + +@questions = ( + 'The coefficient of variation allows us to compare the variation in two sets ' + . 'of data based on different measurement units.', + 'If the coefficient of correlation \(r = \pm 1\), then the best-fit linear ' + . 'equation will actually include all of the data points.', + 'The coefficient of correlation r is a number that indicates the direction and ' + . 'the strength of the relationship between the dependent variable y and the ' + . 'independent variable x.', + 'If the coefficient of correlation r = 0, then there is no linear ' + . 'relationship between the dependent variable y and the independent variable x.', + 'Since the sample is always smaller than the population, the sample mean is ' + . 'always smaller than the population mean.', + 'Expressed in percentiles, the interquartile range is the difference between ' + . 'the 25th and the 75th percentiles.', + 'A straight line that slopes upward and exactly fits all data points would produce ' + . 'a correlation coefficient value of one.', + 'When the standard deviation is expressed as a percentage of the mean, the ' + . 'result is the coefficient of correlation', ); -# Choose four of the question and answer pairs at random. -$tf ->choose(4); +@answers = (1, 1, 1, 1, 0, 1, 1, 0); -# Now print the text using $ml->print_q for the questions -# and $ml->print_a to print the answers. +@shuffle = random_subset(4, 0 .. $#questions); -BEGIN_TEXT -$PAR +@dd = map { DropDownTF($answers[$_]) } @shuffle; + +BEGIN_PGML Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false. -$BR -\{ $tf-> print_q \} +a) [_]{$dd[0]} [$questions[$shuffle[0]]]* + +b) [_]{$dd[1]} [$questions[$shuffle[1]]]* + +c) [_]{$dd[2]} [$questions[$shuffle[2]]]* + +d) [_]{$dd[3]} [$questions[$shuffle[3]]]* + +END_PGML + +BEGIN_PGML_SOLUTION -$PAR +a) [$dd[0]] -END_TEXT +b) [$dd[1]] -# Enter the correct answers to be checked against the answers to the students. +c) [$dd[2]] -ANS(str_cmp( $tf->ra_correct_ans ) ) ; +d) [$dd[3]] +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-05.pg b/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-05.pg index 240eeb572e..eb011aa701 100644 --- a/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-05.pg +++ b/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-05.pg @@ -18,105 +18,65 @@ ## Problem1('') ## KEYWORDS('statistics', 'Two Populations', 'Inference') - -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGnumericalmacros.pl", - "PGstatisticsmacros.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGchoicemacros.pl', 'parserRadioButtons.pl', + 'PGstatisticsmacros.pl', 'PGcourse.pl' ); -TEXT(beginproblem()); $showPartialCorrectAnswers = 0; -install_problem_grader(~~&std_problem_grader); - -$mc[1] = new_multiple_choice(); -$mc[1]->qa('Which value of the coefficient of correlation r -indicates a stronger correlation than 0.65?', - '-0.75' -); -$mc[1]->extra( - '0.55', - '0.60', - '-0.45' -); - - -$mc[2] = new_multiple_choice(); -$mc[2]->qa('If the coefficient of correlation is 0.90, the -percentage of the variation in the dependent variable y that -is explained by the variation in the independent variable x is:', - '81$PERCENT' -); -$mc[2]->extra( - '90$PERCENT', - '0.90$PERCENT', - '0.81$PERCENT' -); - -$mc[3] = new_multiple_choice(); -$mc[3]->qa('If the coefficient of determination is 0.975, then -the slope of the regression line:', - 'could be either positive or negative' -); -$mc[3]->extra( - 'must be positive', - 'must be negative' -); +@questions = ( + 'Which value of the coefficient of correlation r indicates a stronger ' + . 'correlation than 0.65?', + 'If the coefficient of correlation is 0.90, the percentage of the variation ' + . 'in the dependent variable y that is explained by the variation in the ' + . 'independent variable x is:', + 'If the coefficient of determination is 0.975, then the slope of the regression line:', + 'In regression analysis, if the coefficient of determination is 1.0, then:', + 'Correlation analysis is used to determine:' -$mc[3]->makeLast( - 'none of the above answers is correct' ); -$mc[4] = new_multiple_choice(); -$mc[4]->qa('In regression analysis, if the coefficient of -determination is 1.0, then:', - 'the sum of squares for error must be 0.' -); -$mc[4]->extra( - 'the sum of squares for error must be 1', - 'the sum of squares for regression must be 1', - 'the sum of squares for regression must be 0' +# Each element should be the list of options with the correct answer in the first slot. +@options = ( + [ '-0.75', '0.55', '0.60', '-0.45' ], + [ '81%', '90%', '0.90%', '0.81%' ], + [ + 'could be either positive or negative', + 'must be positive', + 'must be negative', + 'could be 0' + ], + [ + 'the sum of squares for error must be 0.', + 'the sum of squares for error must be 1', + 'the sum of squares for regression must be 1', + 'the sum of squares for regression must be 0' + ], + [ + 'the strength of the relationship between x and y', + 'the least squares estimates of the regression parameters', + 'the predicted value of y for a given value of x', + 'the coefficient of determination' + ] ); +@shuffle = random_subset(2, 0 .. 4); -$mc[5] = new_multiple_choice(); -$mc[5]->qa('Correlation analysis is used to determine:', - 'the strength of the relationship between x and y' -); -$mc[5]->extra( - 'the least squares estimates of the regression parameters', - 'the predicted value of y for a given value of x', - 'the coefficient of determination' -); - - -$a = random(1,5,1); -$b = random(1,5,1); -while ($a==$b){ - $b=random(1,5,1); -} - - -BEGIN_TEXT -$PAR -\{ $mc[$a]->print_q() \} +@rb = map { RadioButtons([ $options[$_] ], 0, labels => 'ABC') } @shuffle; -\{ $mc[$a]->print_a() \} -$PAR -\{ $mc[$b]->print_q() \} +BEGIN_PGML -\{ $mc[$b]->print_a() \} -$PAR +a) [$questions[$shuffle[0]]] + [_]{$rb[0]} -END_TEXT +b) [$questions[$shuffle[1]]] -ANS(radio_cmp($mc[$a]->correct_ans)); -ANS(radio_cmp($mc[$b]->correct_ans)); + [_]{$rb[1]} +END_PGML -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-06.pg b/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-06.pg index bff966ce83..e01c8374c3 100644 --- a/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-06.pg +++ b/OpenProblemLibrary/UVA-Stat/setStat212-Homework12/stat212-HW12-06.pg @@ -14,117 +14,91 @@ ## TitleText1('Statistics for Management and Economics') ## AuthorText1('Keller, Warrack') ## EditionText1('6') -## Section1('.') -## Problem1('') ## KEYWORDS('statistics', 'Two Populations', 'Inference') - DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGnumericalmacros.pl", - "PGstatisticsmacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'parserRadioButtons.pl', 'PGnumericalmacros.pl', 'PGstatisticsmacros.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 0; -install_problem_grader(~~&std_problem_grader); -$mc[1] = new_multiple_choice(); -$mc[1]->qa('If the coefficient of correlation is -0.60, -then the coefficient of determination is:', - '0.36' +$r1 = random(-0.8, -0.3,0.1); +$r1sq = $r1**2; +$r1m = 1+$r1; +$r1sqm = 1-$r1sq; +$r2 = random(-0.8, -0.3,0.1); +$r2p = 100*$r2**2; +$r2pm = 100*(1-$r2**2); +$r22 = 100*$r2; +$m = random(3,6); +$b = random(100,150,5); + +@questions = ( + "If the coefficient of correlation is $r1, find the coefficient of determination", + "If the coefficient of correlation is $r2, the percentage of the variation in y " . + 'that is explained by the variation in x is:', + 'If the coefficient of correlation between x and y is close to 1, this ' . + 'indicates that:', + "A regression analysis between weight (y in pounds) and height (x in inches) " . + "resulted in the following least squares line: \(\hat{y} = $b + ${m}x\). This " . + "implies that if the height is increased by 1 inch, the weight is expected to:", + 'If all the points in a scatter diagram lie on the least squares regression ' . + 'line, then the coefficient of correlation must be:' ); -$mc[1]->extra( - '0.40', - '-0.60', - '-0.36' -); - -$mc[2] = new_multiple_choice(); -$mc[2]->qa('If the coefficient of correlation is -0.80, the -percentage of the variation in y that is explained by the -variation in x is:', - '64$PERCENT' -); -$mc[2]->extra( - '80$PERCENT', - '-80$PERCENT', - '-64$PERCENT' +# The first answer needs to be the correct one. +@answers = ( + ["$r1sq", "$r1", "$r1m","$r1sqm",], + ["$r2p%","$r2pm%","$r22%","-$r2p%"], + [ 'there may or may not be any causal relationship between x and y', + 'y causes x to happen', + 'x causes y to happen', 'Both y causes x and x causes y'], + ["increase by $m pounds", "increase by 1 pound", "decrease by $m pounds", "increase by $b pounds"], + ['either 1 or -1','1','-1','0'] ); +@shuffle = random_subset(3,0..4); +@radios = map { RadioButtons([$answers[$_], 'None of the above'],0)} @shuffle; -$mc[3] = new_multiple_choice(); -$mc[3]->qa('If all the points in a scatter diagram lie on -the least squares regression line, then the coefficient -of correlation must be:', - 'either 1 or -1' -); -$mc[3]->extra( - '1', - '-1' -); +BEGIN_PGML -$mc[3]->makeLast( - '0' -); +a) [$questions[$shuffle[0]]]* -$mc[4] = new_multiple_choice(); -$mc[4]->qa('If the coefficient of correlation between x and -y is close to 1, this indicates that:', - 'there may or may not be any causal relationship - between x and y' -); -$mc[4]->extra( - 'y causes x to happen', - 'x causes y to happen' -); + [_]{$radios[0]} -$mc[4]->makeLast( - 'both A and B are correct answers' -); +b) [$questions[$shuffle[1]]]* + [_]{$radios[1]} -$mc[5] = new_multiple_choice(); -$mc[5]->qa('A regression analysis between weight (y in pounds) -and height (x in inches) resulted in the following least squares -line: \(\hat{y} = 120 + 5x\). This implies that if the height -is increased by 1 inch, the weight is expected to:', - 'increase by 5 pounds' -); -$mc[5]->extra( - 'increase by 1 pound', - 'decrease by 1 pound', - 'increase by 24 pounds' -); +c) [$questions[$shuffle[2]]]* + [_]{$radios[2]} -$a = random(1,5,1); -$b = random(1,5,1); -while ($a==$b){ - $b=random(1,5,1); -} +END_PGML +@explanations = ( + "Recall that the coefficient of determination is \(r^2\) and in this case ". + "\(r=$r1\) or", + "The percentage of variation explained by the linear relationship is \(r^2\) " . + " as a percetage or ", + "If the coefficient of correlation between x and y is close to 1, recall " . + "that this does not indicate casual relationship between x and y, so ", + "In a regression line a change of 1 unit in \(x\), in this case height " . + "results in a change of the slope (in this case $m pounds) or ", + "If all the points in a scatter diagram lie on the least squares regression " . + "then either the correlation coefficient is 1 or -1, the sign is determined by " . + "the slope of the regression line. The answer is " +); -BEGIN_TEXT -$PAR -\{ $mc[$a]->print_q() \} +BEGIN_PGML_SOLUTION -\{ $mc[$a]->print_a() \} -$PAR -\{ $mc[$b]->print_q() \} +a) [$explanations[$shuffle[0]]]* [$radios[0]] -\{ $mc[$b]->print_a() \} -$PAR +b) [$explanations[$shuffle[1]]]* [$radios[1]] +c) [$explanations[$shuffle[2]]]* [$radios[2]] -END_TEXT -ANS(radio_cmp($mc[$a]->correct_ans)); -ANS(radio_cmp($mc[$b]->correct_ans)); +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/Union/setAnalGeomLines/an_appC_19.pg b/OpenProblemLibrary/Union/setAnalGeomLines/an_appC_19.pg index 22e489c1b1..e6d109db26 100644 --- a/OpenProblemLibrary/Union/setAnalGeomLines/an_appC_19.pg +++ b/OpenProblemLibrary/Union/setAnalGeomLines/an_appC_19.pg @@ -4,7 +4,6 @@ ## Tagged by cmd6a 8/6/06 - ## DBsubject(Algebra) ## DBchapter(Linear equations and functions) ## DBsection(Finding the slope) @@ -16,104 +15,107 @@ ## TitleText1('Calculus') ## AuthorText1('Anton') ## EditionText1('7') -## Section1('.') ## Problem1('19') ## KEYWORDS('slopes', 'graphs') -DOCUMENT(); # This should be the first executable line in the problem. - -loadMacros( - "PGstandard.pl", - "PGunion.pl", - "MathObjects.pl", - "PGchoicemacros.pl", - "PGgraphmacros.pl", - "PGcourse.pl" -); -TEXT(beginproblem()); +DOCUMENT(); + +loadMacros('PGstandard.pl', 'PGML.pl', 'PGtikz.pl', 'PGcourse.pl'); -################################### +$showPartialCorrectAnswers = 0; # Don't show which are correct/incorrect. + +Context('Numeric')->strings->are("A" => {}, "B" => {}, "C" => {}, "D" => {}); # Setup -# # Random slopes, one steep down, one shallow, one steep up -# -@m = (random(-3,-2,.1),random(-1.5,.2,.1),random(.2,1.5,.1),random(1.5,3,.1)); -# +@m = ( + random(-3, -2, .1), + random(-1.5, .2, .1), + random(.2, 1.5, .1), + random(1.5, 3, .1) +); + # Shuffle the slopes -# -@shuffle = NchooseK(4,4); -@m = @m[@shuffle]; -@a = ('A','B','C','D')[invert(@shuffle)]; -# +## add this to PGauxillarymacros.pl +sub invert { + my @out; + for my $i (0..$#_) {$out[$_[$i]] = $i} + @out; +} + +@shuffle = random_subset(4, 0 .. 3); +@m = @m[@shuffle]; +@a = ('A', 'B', 'C', 'D')[ invert(@shuffle) ]; + # Random intercepts -# -@b = (random(-5,5,.1),random(-5,5,.1),random(-5,5,.1),random(-5,5,.1)); -# -# define the functions and obtain thair graphs -# +@b = ( + random(-5, 5, .1), + random(-5, 5, .1), + random(-5, 5, .1), + random(-5, 5, .1) +); -$w = 180; # graph size -$tw = 400; # graph size in TeX +# determine the bounds of the lines for nicer plotting + +@xmax = map { + $m[$_] * 7.5 + $b[$_] > 7.5 ? (7.5 - $b[$_]) / $m[$_] + : $m[$_] * 7.5 + $b[$_] < -7.5 ? (-7.5 - $b[$_]) / $m[$_] + : 7.5 +} (0 .. 3); +@xmin = map { + $m[$_] * -7.5 + $b[$_] > 7.5 ? (7.5 - $b[$_]) / $m[$_] + : $m[$_] * -7.5 + $b[$_] < -7.5 ? (-7.5 - $b[$_]) / $m[$_] + : -7.5 +} (0 .. 3); + +# define the functions and obtain thair graphs +@graphs = (); +for $i (0 .. 3) { + $graphs[$i] = createTikZImage(); + $graphs[$i]->tikzLibraries('arrows.meta'); + $graphs[$i]->BEGIN_TIKZ +\tikzset{>={Stealth[scale=1.5]}} +\filldraw[ + draw=LightBlue, + fill=white, + rounded corners=10pt, + thick,use as bounding box +] (-8.5,-8.5) rectangle (8.5,8.5); +\draw[gray] (-7,-7) grid (7,7); +\draw[->,thick] (-7.5,0) -- (7.5,0) node[above left,outer sep=3pt] {\(x\)}; +\foreach \x in {-6,-4,-2,2,4,6} + \draw(\x,5pt) -- (\x,-5pt) node [below] {\(\x\)}; +\draw[->,thick] (0,-7.5) -- (0,7.5) node[below right,outer sep=3pt] {\(y\)}; +\foreach \y in {-6,-4,-2,2,4,6} + \draw (5pt,\y) -- (-5pt,\y) node[left] {\(\y\)}; +\draw[blue,ultra thick,<->] plot[domain=$xmin[$i]:$xmax[$i]] (\x,{$m[$i]*\x+$b[$i]}); +END_TIKZ -foreach $i (0..3) { - $f = FEQ("$m[$i]*x + $b[$i]") . - " for x in <-10,10> using color red and weight=2"; - $g[$i] = init_graph(-9,-9,9,9,axes=>[0,0],grid=>[6,6],size=>[$w,$w]); - plot_functions($g[$i],$f); - $image[$i] = image(insertGraph($g[$i]),width=>$w,height=>$w,tex_size=>$tw); } -################################################## -# -# Make the table of images -# -sub bold {return $BBOLD.join("",@_).$EBOLD} - -@ops = (separation=>30, indent=>0); -$imageTable = - BeginTable(). - Row([$image[0],$image[1]],@ops). - TableSpace(5). - AlignedRow([bold('A'),bold('B')],@ops). - TableSpace(40). - Row([$image[2],$image[3]],@ops). - TableSpace(5). - AlignedRow([bold('C'),bold('D')],@ops). - EndTable(); - -################################### -# Main text - -BEGIN_TEXT - Order the following graphs by ${BITALIC}increasing${EITALIC} slope - of the line being displayed: -$PAR - $imageTable -Enter the $BBOLD labels $EBOLD of the graphs (A, B, C, and D) in order of - ${BITALIC}increasing${EITALIC} slope: -$PAR - \{ans_rule(4)\} \( < \) \{ans_rule(4)\} \( < \) \{ans_rule(4)\} \( < \) \{ans_rule(4)\}. - -END_TEXT - -################################### -# Answers - -$showPartialCorrectAnswers = 0; -# -# Set up the answers -# - -#ANS(String([@a])->cmp); -ANS(str_cmp([@a])); -#install_problem_grader(~~&std_problem_grader); - -################################################## - - -; +BEGIN_PGML +Order the following graphs by _increasing_ slope +of the line being displayed: + +[# [. A) [!!]{$graphs[0]}{300} .] [. B) [!!]{$graphs[1]}{300} .]* +[. C) [!!]{$graphs[2]}{300} .] [. D) [!!]{$graphs[3]}{300} .]* #] + +Enter the *labels* of the graphs (A, B, C, and D) in order of + _increasing_ slope: + +[_]{$a[0]} [` < `] [_]{$a[1]} [` < `] [_]{$a[2]} [` < `] [_]{$a[3]} +END_PGML + +BEGIN_PGML_SOLUTION +Recall that negative slopes go from the upper left to the lower right and positive slopes from lower left to upper right. + +Negative slopes that are steeper are more negative and positive slopes that are steeper are more positive. Examining the slopes above, the answer is + +[``` [$a[0]] < [$a[1]] < [$a[2]] < [$a[3]] ```] + +END_PGML_SOLUTION + ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Utah/College_Algebra/set1_Preview/1050s1p24.pg b/OpenProblemLibrary/Utah/College_Algebra/set1_Preview/1050s1p24.pg index cbf971ec5d..fbfc31075a 100644 --- a/OpenProblemLibrary/Utah/College_Algebra/set1_Preview/1050s1p24.pg +++ b/OpenProblemLibrary/Utah/College_Algebra/set1_Preview/1050s1p24.pg @@ -15,47 +15,34 @@ ## Problem1('') ## KEYWORDS('algebra') -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -TEXT(beginproblem()); - - -$s = random (7,13,1); -$t = random(5,10,1); -$S = $t*$s; - -TEXT(EV2(<texStrings; -BEGIN_TEXT -\{ textbook_ref_exact("Rogawski ET 2e", "1.2", "5") \} -$PAR -Find the slope of the line \( y=$eqn \). -$PAR -\{ans_rule()\} -END_TEXT -Context()->normalStrings; - -ANS(Real($m)->cmp); - -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR -$SOL -The slope is \($m\). -$PAR +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +Context('Numeric')->noreduce('(-x)-y', '(-x)+y'); + +$m = non_zero_random(-10, 10); +$b = non_zero_random(-10, 10); + +$eqn = Formula("$m x + $b")->reduce; + +BEGIN_PGML +If a line has the equation [` y=[$eqn] `], + +What is its slope? [_]{$m} +END_PGML + +BEGIN_PGML_SOLUTION A line given by an equation of the form -\(y=mx+b\) has slope \(m\). In this case, -\(m=$m\). -END_SOLUTION +[`y=mx+b`] has slope [`m`]. In this case, +[`m=[$m]`]. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/Wiley/setAnton_Section_4.4/question12.pg b/OpenProblemLibrary/Wiley/setAnton_Section_4.4/question12.pg index 103253629e..9b3aaa4d3e 100644 --- a/OpenProblemLibrary/Wiley/setAnton_Section_4.4/question12.pg +++ b/OpenProblemLibrary/Wiley/setAnton_Section_4.4/question12.pg @@ -1,11 +1,11 @@ # ************************************ # Comments + Keyword Clarification -# + # Anton, Calculus, 4.4.12 # ************************************ # DESCRIPTION # Find the absolute maximum and minimum values of a function on a given closed interval. -# + # ENDDESCRIPTION ## DBsubject(Calculus - single variable) ## DBchapter(Applications of differentiation) @@ -20,127 +20,130 @@ ## Problem1('12') ## KEYWORDS('Absolute Maximum', 'Absolute Minimum', 'Extreme Value Theorem') #*************************************************************** -# Initialization - Load standard PG and MathObjects macros +# Initialization - Load standard PG and MathObjects macros #*************************************************************** -DOCUMENT(); +## Updated 2025.02 by Peter Staab, switch to PGML + +DOCUMENT(); loadMacros( - "PGstandard.pl", - "PGunion.pl", - "MathObjects.pl", - "littleneck.pl", - "contextFraction.pl", - "PGcourse.pl" + 'PGstandard.pl', 'PGML.pl', + 'PGunion.pl', 'littleneck.pl', + 'contextFraction.pl', 'PGcourse.pl' ); -# allow the student to change the seed for this problem. - - -rand_button(); - - -TEXT(beginproblem()); - -################################### # Setup +Context('Numeric'); + +$sign = random(-1, 1, 2); +$PM = random(-1, 1, 2); + +$f = Formula("$PM*(x^2 +$sign*x)^(2/3)")->reduce; +$fp = Formula("$PM*2(2x +$sign)/(3(x^2+$sign*x))^(1/3)")->reduce; + +if ($sign > 0) { + $signdisp = '+'; + $a1 = random(2, 3, 1); + $a = -$a1; + $b = $a1 + 1; + $fa = $a1 * ($a1 - 1); + $fb = ($a1 + 1) * ($a1 + 2); + $cp1 = -1; + $cp2 = 0; + Context("Fraction"); + $sp = Compute("-1/2"); + $fsp = Compute("-1/4"); + Context("Numeric"); + + if ($PM > 0) { + $disp = ''; + $Max = "$fb^\frac{2}{3}"; + $Min = 0; + $ans_a = Compute("$fb^(2/3)"); + $ans_b = List("$b"); + $ans_c = Compute("0"); + $ans_d = List("$cp1, $cp2"); + + } else { + $disp = '-'; + $Min = "-$fb^\frac{2}{3}"; + $Max = 0; + $ans_c = Compute("-$fb^(2/3)"); + $ans_d = List("$b"); + $ans_a = Compute("0"); + $ans_b = List("$cp1, $cp2"); + } + +} else { + $signdisp = '-'; + $a1 = random(3, 4, 1); + $a = -$a1; + $b = $a1 - 1; + $fa = $a1 * ($a1 + 1); + $fb = ($a1 - 1) * ($a1 - 2); + $cp1 = 0; + $cp2 = 1; + Context("Fraction"); + $sp = Compute("1/2"); + $fsp = Compute("-1/4"); + Context("Numeric"); + + if ($PM > 0) { + $disp = ''; + $Max = "$fa^\frac{2}{3}"; + $Min = 0; + $ans_a = Compute("$fa^(2/3)"); + $ans_b = List("$a"); + $ans_c = Compute("0"); + $ans_d = List("$cp1, $cp2"); + + } else { + $disp = '-'; + $Min = "-($fa)^\frac{2}{3}"; + $Max = 0; + $ans_c = Compute("-$fa^(2/3)"); + $ans_d = List("$a"); + $ans_a = Compute("0"); + $ans_b = List("$cp1, $cp2"); + } +} +# Main text -$sign = (-1)**random(0,1,1); -$PM = (-1)**random(0,1,1); +BEGIN_PGML +Find the absolute maximum and minimum values of [`f(x) = [$disp](x^2 [$signdisp] x)^\frac{2}{3}`] over the interval [`[ [$a], [$b] ]`]. -$f=Formula("$PM*(x^2 +$sign*x)^(2/3)")->reduce; -$fp=Formula("$PM*2(2x +$sign)/(3(x^2+$sign*x))^(1/3)")->reduce; +- There is an absolute maximum is [_]{$ans_b}{15} and it occurs at x = [_]{$ans_a}{15} +- There is an absolute minimum is [_]{$ans_d}{15} and it occurs at x = [_]{$ans_c}{15} +*Notes:* If there is more than one [`x`] value, enter as a comma separated list. +END_PGML -if($sign >0) {$signdisp ='+';$a1 =random(2,3,1); $a=-$a1; $b=$a1+1; $fa=$a1*($a1-1); $fb=($a1+1)*($a1+2); -$cp1=-1; $cp2 =0; -Context("Fraction"); $sp =Compute("-1/2"); $fsp =Compute("-1/4"); -Context("Numeric"); -if($PM>0) {$disp =''; -$Max ="$fb^\frac{2}{3}"; $Min =0; -$ans_a = Compute("$fb^(2/3)"); $ans_b = List("$b"); -$ans_c = Compute("0"); $ans_d = List("$cp1, $cp2");} -else {$disp ='-'; -$Min ="-$fb^\frac{2}{3}"; $Max =0; -$ans_c = Compute("-$fb^(2/3)"); $ans_d = List("$b"); -$ans_a = Compute("0"); $ans_b = List("$cp1, $cp2");} +BEGIN_PGML_SOLUTION - } +The function [`f`] is continuous everywhere and therefore the Extreme-Value Theorem guarantees that [`f`] has a maximum and a minimum value + on the interval [`[ [$a], [$b] ]`]. + Differentiating, we obtain -else {$signdisp ='-' ;$a1 =random(3,4,1); $a=-$a1; $b=$a1-1; $fa=$a1*($a1+1); $fb=($a1-1)*($a1-2); -$cp1=0; $cp2 =1; -Context("Fraction"); $sp =Compute("1/2"); $fsp =Compute("-1/4"); -Context("Numeric"); -if($PM>0) {$disp =''; -$Max ="$fa^\frac{2}{3}"; $Min =0; -$ans_a = Compute("$fa^(2/3)"); $ans_b = List("$a"); -$ans_c = Compute("0"); $ans_d = List("$cp1, $cp2");} +[``` f'(x) = [$disp] \frac{2(2x [$signdisp] 1)}{3(x^2 [$signdisp] x)^\frac{1}{3}}```] -else -{$disp ='-'; -$Min ="-($fa)^\frac{2}{3}"; $Max =0; -$ans_c = Compute("-$fa^(2/3)"); $ans_d = List("$a"); -$ans_a = Compute("0"); $ans_b = List("$cp1, $cp2");} -} +Thus [`f'(x) =0`] if [`x =[$sp] `] and [` f'(x)`] is undefined if [` x =[$cp1]`] or [` x= [$cp2]`]. +Evaluating [`f`] at these critical values and end points yields the following table -# Main text +[# + [.[`x`].] [.[`f(x)`].]* + [.[`[$a]`].] [.[`[$disp][$fa]^{2/3}`].]* + [.[`[$cp1]`].] [.[`0`].]* + [.[`[$sp]`].] [.[`[$disp] ([$fsp])^{2/3}`].]* + [.[`[$cp2]`].] [.[`0`].]* + [.[`[$b]`].] [. [`[$disp] ([$fb])^{2/3} `] .]* +#]{horizontalrules => 1, padding => [0.5, 0.5], align => '|c|c|'} -Context()->texStrings; -BEGIN_TEXT -Find the absolute maximum and minimum values of \(f(x) = $disp(x^2 $signdisp x)^\frac{2}{3}\) over the interval [$a, $b]. -$PAR -absolute maximum is \{ ans_rule(15) \} and it occurs at x = \{ ans_rule(15) \} $BR -absolute minimum is \{ ans_rule(15) \} and it occurs at x = \{ ans_rule(15) \} $BR -$PAR - -$BBOLD Notes:$EBOLD -If there is more than one \(x\) value, enter as a comma separated list . - -END_TEXT -Context()->normalStrings; - -################################### -# Answer checking - - -$showPartialCorrectAnswers = 1; -ANS($ans_a->cmp()); -ANS($ans_b->cmp()); -ANS($ans_c->cmp()); -ANS($ans_d->cmp()); -################################### - - -#*************************** -# Explanation of solution -#*************************** -Context()->texStrings; -SOLUTION(EV3(<<'END_SOLUTION')); -$PAR SOLUTION $PAR - -The function \(f\) is continuous everywhere and therefore the Extreme-Value Theorem guarantees that \(f\) has a maximum and a minimum value - on the interval [$a, $b]. $BR Differentiating, we obtain - -\[ f'(x) = $disp \frac{2(2x $signdisp 1)}{3(x^2 $signdisp x)^\frac{1}{3}}\] - -Thus \(f'(x) =0\) if \(x =$sp \) and \( f'(x)\) is undefined if \( x =$cp1\) or \( x= $cp2\). -Evaluating \(f\) at these critical values and end points yields the following table -$BCENTER -\{ begintable(6) \} -\{ row( "x","$a","$cp1","\($sp\)","$cp2","$b") \} -\{ row( "\( f(x)\)","\( $disp$fa^\frac{2}{3}\)","0","\( $disp($fsp)^\frac{2}{3}\)","0","\($disp$fb^\frac{2}{3}\)") \} -\{ endtable() \} -$ECENTER - -\[ \] -We conclude that$BR -\(f\) has an absolute maximum of \(\; $Max \;\)which occurs at \( {x = $ans_b}\) and $BR -\(f\) has an absolute minimum of \(\; $Min \; \) which occurs at \(x =$ans_d\). -END_SOLUTION -Context()->normalStrings; +We conclude that [`f`] has an absolute maximum of [`[$Max]`]which occurs at [` x = [$ans_b]`] and [`f`] has an absolute minimum of [`[$Min] `] which occurs at [`x =[$ans_d]`]. +END_PGML_SOLUTION ENDDOCUMENT(); diff --git a/OpenProblemLibrary/ma122DB/set10/s4_10_35.pg b/OpenProblemLibrary/ma122DB/set10/s4_10_35.pg index 4c49679c62..d66d2dc038 100644 --- a/OpenProblemLibrary/ma122DB/set10/s4_10_35.pg +++ b/OpenProblemLibrary/ma122DB/set10/s4_10_35.pg @@ -29,74 +29,76 @@ ## Problem3('') ## KEYWORDS('derivatives', 'antiderivatives','derivatives' 'antiderivatives','calculus') +## Updated 2025.03 by Peter Staab, switch to PGML. + DOCUMENT(); # This should be the first executable line in the problem. -loadMacros( - "PGstandard.pl", - "PGcourse.pl" -); +loadMacros('PGstandard.pl', 'PGML.pl', 'contextFraction.pl', 'PGcourse.pl'); -TEXT(beginproblem()); $showPartialCorrectAnswers = 1; -$a1 = random(2,10,1); -$b1 = random(2,10,1); -$n1 = random(2,4,1); -$m1 = random(2,4,1); - -BEGIN_TEXT -Consider the function \( f(x) \) whose second derivative is -\( f''(x) = $a1 x + $b1 \sin (x) \). If \( f(0) = $n1\) and - \( f'(0) = $m1\), what is \( f(x) \)? $BR$BR -Answer: \{ans_rule(40) \} +$a1 = random(2,10); +$b1 = random(2,10); +$n1 = random(2,4); +$m1 = random(2,4); -END_TEXT $b2=$b1+$m1; $a2=$a1/6; $antideriv = "$a2 * (x)^3 - $b1*sin(x) +$b2*x +$n1"; -ANS(fun_cmp($antideriv)); +BEGIN_PGML +Consider the function [` f(x) `] whose second derivative is +[` f''(x) = [$a1] x + [$b1] \sin (x) `]. If [` f(0) = [$n1]`] and + [` f'(0) = [$m1]`], what is [` f(x) `]? + +[`f(x)=`] [_]{Formula($antideriv)}{40} + +END_PGML -SOLUTION(EV3(<<'EOF')); -$SOL $BR +Context('Fraction'); +$coeff1 = Fraction($a1,2); +$coeff2 = Fraction($a1,6); +BEGIN_PGML_SOLUTION To solve this formula we will use the standard rule afor the antiderivatives -of a polynomial and the fact that the antiderivative of \( \sin \) is \( -\cos -\) while the antiderivative of \( \cos \) is \( \sin \). Furthermore, we will -use the information given to us about \( f'(0) \) and \( f(0) \) to +of a polynomial and the fact that the antiderivative of [` \sin `] is [` -\cos +`] while the antiderivative of [` \cos `] is [` \sin `]. Furthermore, we will +use the information given to us about [` f'(0) `] and [` f(0) `] to eliminate any arbitrary constants. -$PAR -Finding the general antiderivative of \( f''(x) \) gives a formula for -\( f'(x) \) as shown below: $BR$BR -\[ - f'(x) = \frac{$a1}{2}x^2 - $b1\cos(x) + C_1 -\] $BR$BR -We are told that \( f'(0) = $m1 \) so that we can solve for \( C_1 \) in the + +Finding the general antiderivative of [` f''(x) `] gives a formula for +[` f'(x) `] as shown below: + +[``` f'(x) = [$coeff1] x^2 - [$b1]\cos(x) + C_1 ```] + +We are told that [` f'(0) = [$m1] `] so that we can solve for [` C_1 `] in the expression above as shown. -\[f'(0) = \frac{$a1}{2}(0)^2 - $b1\cos(x) + C_1 \] $BR -\[ $m1 = -$b1 + C_1 \] -\[ C_1 = $b2 \] - $BR$BR -Therefore, the formula for \( f'(x) \) is: $BR$BR -\[ - f'(x) = !{\{$a1/2\}:%5.4f}x^2 - $b1\cos(x) + $b2 -\] $BR$BR -Now, we take the antiderivative of \( f'(x) \) to find the general formula -for the function \( f(x) \). $BR$BR -\[ - f(x) = \frac{!{\{$a1/2\}:%5.4f}}{3}x^3 - $b1\sin(x) + {$b2}x + C_2 -\] $BR$BR -We are told that \( f(0) = $n1 \) so that we can solve for \( C_2 \) as we -did for \( C_1 \) above. $BR$BR -\[f(0) = \frac{!{\{$a1/2\}:%5.4f}}{3}(0)^3 - $b1\sin(0) + {$b2}(0) + C_2 \] -\[ $n1 = C_2 \] $BR$BR - -Therefore, the specific value for the function \( f(x) \) is given by: -$BR$BR -\[ - f(x) = !{$a2:%5.4f}x^3-$b1\sin{x}+{$b2}x+$n1 -\] -EOF - - -ENDDOCUMENT(); # This should be the last executable line in the problem. +[``` +\begin{aligned} +f'(0) & = [$coeff1] (0)^2 - [$b1]\cos(x) + C_1 \\ +[$m1] & = -[$b1] + C_1 \\ +C_1 & = [$b2] +\end{aligned} +```] + +Therefore, the formula for [` f'(x) `] is: + +[``` f'(x) = [$coeff1]x^2 - [$b1]\cos(x) + [$b2]```] + +Now, we take the antiderivative of [` f'(x) `] to find the general formula +for the function [` f(x) `]. + +[``` f(x) = [$coeff2]x^3 - [$b1]\sin(x) + {[$b2]}x + C_2```] + +We are told that [` f(0) = [$n1] `] so that we can solve for [` C_2 `] as we +did for [` C_1 `] above. + +[```f(0) = [$coeff2](0)^3 - [$b1]\sin(0) + {[$b2]}(0) + C_2 ```] +[``` [$n1] = C_2 ```] + +Therefore, the specific value for the function [` f(x) `] is given by: + +[``` f(x) = [$coeff2]x^3-[$b1]\sin{x}+{[$b2]}x+[$n1]```] +END_PGML_SOLUTION + +ENDDOCUMENT(); # This should be the last executable line in the problem. \ No newline at end of file diff --git a/OpenProblemLibrary/ma122DB/set12/s5_4_37.pg b/OpenProblemLibrary/ma122DB/set12/s5_4_37.pg index be77e8a8a7..a74b08f9d0 100644 --- a/OpenProblemLibrary/ma122DB/set12/s5_4_37.pg +++ b/OpenProblemLibrary/ma122DB/set12/s5_4_37.pg @@ -17,43 +17,35 @@ ## Problem1('37') ## KEYWORDS('integrals', 'theory', 'definite') -DOCUMENT(); # This should be the first executable line in the problem. +## Updated 2025.02 by Peter Staab, switch to PGML and add a solution. -loadMacros( - "PGstandard.pl", - "PGcourse.pl" -); +DOCUMENT(); # This should be the first executable line in the problem. -$showPartialCorrectAnswers = 1; +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); -$a = random(2,9,1); +$a = random(2, 9); -TEXT(beginproblem()); +BEGIN_PGML +Evaluate the following: -BEGIN_TEXT -\( \displaystyle \int_0^{\pi/4} \frac{$a + \cos^3 u}{\cos^2 u}\, du\) -= \{ ans_rule()\} -END_TEXT - -$answ = "$a + sqrt(2)/2"; -ANS(num_cmp($answ)); - -BEGIN_SOLUTION -$PAR SOLUTION $PAR -\[ \begin{array}{rcl} \displaystyle \int_0^{\pi/4} \frac{$a + \cos^3 u}{\cos^2 u}\, du -&=& \displaystyle \int_0^{\pi/4} \left(\frac{$a}{\cos^2 u} + \frac{\cos^3 u}{\cos^2 u}\right) \, du - \\ &=& \displaystyle \int_0^{\pi/4} ($a\sec^2 u + \cos u ) \, du - \\ &=& \displaystyle $a\tan u + \sin u \Big]_0^{\pi/4} - \\ &=& \left($a\tan\left(\frac{\pi}{4}\right) + - \sin\left(\frac{\pi}{4}\right) \right) - \left( $a \tan 0 +\sin 0\right) -\\ &=&\displaystyle \left($a \cdot 1 + \frac{\sqrt{2}}{2} \right) - -($a \cdot 0 + 0 ) -\\ &=& \displaystyle $a + \frac{\sqrt{2}}{2} -\end{array} -\] -END_SOLUTION - -ENDDOCUMENT(); # This should be the last executable line in the problem. +[`` \int_0^{\pi/4} \frac{[$a] + \cos^3 u}{\cos^2 u}\, du``] += [_]{Real($a + sqrt(2)/2)} +END_PGML +BEGIN_PGML_SOLUTION +[``` +\begin{aligned} +\int_0^{\pi/4} \frac{[$a] + \cos^3 u}{\cos^2 u}\, du +&= \int_0^{\pi/4} \left(\frac{[$a]}{\cos^2 u} + \frac{\cos^3 u}{\cos^2 u}\right) \, du \\ + =& \int_0^{\pi/4} ([$a]\sec^2 u + \cos u ) \, du \\ + =& [$a]\tan u + \sin u \Big]_0^{\pi/4} \\ + =& \left([$a]\tan\left(\frac{\pi}{4}\right) + + \sin\left(\frac{\pi}{4}\right) \right) - \left( [$a] \tan 0 +\sin 0\right) \\ +&= \left([$a] \cdot 1 + \frac{\sqrt{2}}{2} \right) - ([$a] \cdot 0 + 0 ) \\ +& = [$a] + \frac{\sqrt{2}}{2} +\end{aligned} +```] +END_PGML_SOLUTION +ENDDOCUMENT(); diff --git a/OpenProblemLibrary/maCalcDB/setAlgebra31LogExpApplications/ur_le_2_12.pg b/OpenProblemLibrary/maCalcDB/setAlgebra31LogExpApplications/ur_le_2_12.pg index a368415b75..77170d5622 100644 --- a/OpenProblemLibrary/maCalcDB/setAlgebra31LogExpApplications/ur_le_2_12.pg +++ b/OpenProblemLibrary/maCalcDB/setAlgebra31LogExpApplications/ur_le_2_12.pg @@ -1,5 +1,6 @@ ###DESCRIPTION -## tcao tagged and PAID on 2-20-2004 +## Determine an exponential model of a bacteria population. +##ENDDESCRIPTION ## DBsubject(Algebra) ## DBchapter(Exponential and logarithmic expressions and functions) @@ -15,38 +16,40 @@ ## Problem1('14') ## KEYWORDS('logarithms,exponentials','exponential growth,decay','Algebra', 'Exponential', 'Logarithmic', 'Applications') ##TYPE('word problem') -##ENDDESCRIPTION -DOCUMENT(); # This should be the first executable line in the problem. +DOCUMENT(); # This should be the first executable line in the problem. + +loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl'); + +Context('Numeric')->variables->are(t => Real); + +$p0 = random(80, 200, 10); +$m = random(30, 150, 60); +$h = $m / 60; +$b = random(2, 4); -loadMacros( - "PGstandard.pl", - "PGchoicemacros.pl", - "PGcourse.pl" -); +if ($b == 2) { $s = 'doubles' } +if ($b == 3) { $s = 'triples' } +if ($b == 4) { $s = 'quadruples' } -TEXT(beginproblem()); -$showPartialCorrectAnswers = 1; +$P = Formula("$p0 * $b**(t/$h)"); -$p0= random(80,200,10); -$m = random(30,150,60); -$b = random(2,4,1); +BEGIN_PGML -if ($b == 2) {$s = 'doubles'} -if ($b == 3) {$s = 'triples'} -if ($b == 4) {$s = 'quadruples'} +A certain bacteria population is known to [$s] every [$m] minutes. Suppose that there are initially [$p0] bacteria. -$temp = 60/$m; -$ans = "$p0 * $b**($temp * t)"; +What is the size of the population after [` t `] hours? [_]{$P} -TEXT(EV2(<'t')); +Also, since [`t`] is measured in hours, recall that +[``` [$m]\;\text{min} \cdot \frac{1\;\text{hr}}{60\;\text{hr}} = [$h]\;\text{hours} +```] +This is needed for the exponent of the model: +[``` P(t) = [$P] ```] +END_PGML_SOLUTION -ENDDOCUMENT(); # This should be the last executable line in the problem. +ENDDOCUMENT(); diff --git a/TABLE-DUMP/OPL-tables.sql b/TABLE-DUMP/OPL-tables.sql new file mode 100644 index 0000000000..744bc3224d --- /dev/null +++ b/TABLE-DUMP/OPL-tables.sql @@ -0,0 +1,415 @@ +-- MySQL dump 10.13 Distrib 8.0.39, for Linux (x86_64) +-- +-- Host: 127.0.0.1 Database: OPL +-- ------------------------------------------------------ +-- Server version 5.5.5-10.4.34-MariaDB-1:10.4.34+maria~ubu2004 + +/*!40101 SET @OLD_CHARACTER_SET_CLIENT=@@CHARACTER_SET_CLIENT */; +/*!40101 SET @OLD_CHARACTER_SET_RESULTS=@@CHARACTER_SET_RESULTS */; +/*!40101 SET @OLD_COLLATION_CONNECTION=@@COLLATION_CONNECTION */; +/*!50503 SET NAMES utf8mb4 */; +/*!40103 SET 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notation',18),(190,'Solving equations with absolute values',19),(191,'Graphs with absolute values',19),(192,'Absolute value inequalities',19),(193,'Applications using absolute values',19),(194,'Properties of exponents',20),(195,'Properties of rational exponents and radicals',20),(196,'Plotting points',21),(197,'Midpoint and distance formulas',21),(198,'Circles',21),(199,'Graphs of equations',21),(200,'Factoring: common factors',22),(201,'Factoring by grouping',22),(202,'Factoring trinomials',22),(203,'Factoring: special forms',22),(204,'Factoring polynomials: general',22),(205,'Definition, concept',23),(206,'Function notation',23),(207,'Graphs',23),(208,'Domain and range',23),(209,'Piecewise functions',23),(210,'Compositions and combinations of functions',23),(211,'Difference quotient',23),(212,'Interpretation and applications',23),(213,'Shifts: vertical and horizontal',24),(214,'Scale changes: vertical and horizontal',24),(215,'Shift and scale change',24),(216,'Reflect',24),(217,'Reflect and shift',24),(218,'Reflect and scale change',24),(219,'Symmetry: even, odd, neither',24),(220,'Three or more transformations',24),(221,'Vertical shifts',24),(222,'Horizontal shifts',24),(223,'Vertical stretches and compressions',24),(224,'Horizontal stretches and compressions',24),(225,'Reflections and symmetry',24),(226,'Graphs',24),(227,'Finding the slope',25),(228,'Parallel and perpendicular lines',25),(229,'Equations of lines: slope-intercept form',25),(230,'Equations of lines: point-slope form',25),(231,'Equations of lines: standard form',25),(232,'Equations of lines: general',25),(233,'Linear functions',25),(234,'Linear equations',25),(235,'Linear inequalities',25),(236,'Graphs of lines',25),(237,'Applications and models',25),(238,'Solve by factoring',26),(239,'Completing the square',26),(240,'Quadratic formula',26),(241,'Complex roots',26),(242,'Solving equations',26),(243,'Forms: vertex, factored, 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functions',31),(273,'Equations',31),(274,'Applications',31),(275,'Simplifying',32),(276,'Rational equations',32),(277,'Rational functions',32),(278,'Rational inequalities',32),(279,'Graphs of rational functions',32),(280,'Asymptotes',32),(281,'Applications and models',32),(282,'1-1 functions',33),(283,'Finding the inverse function',33),(284,'Interpreting inverse functions',33),(285,'Exponential functions',34),(286,'Properties of logarithms',34),(287,'Logarithmic functions',34),(288,'Exponential and logarithmic equations',34),(289,'Inequalities',34),(290,'Graphs',34),(291,'Applications and models - population growth',34),(292,'Applications and models - radioactive decay',34),(293,'Applications and models - general',34),(294,'Notation',35),(295,'Arithmetic',35),(296,'Binomial theorem',35),(297,'Summation formulas',35),(298,'Parabolas',36),(299,'Circles',36),(300,'Ellipses',36),(301,'Hyperbolas',36),(302,'Intersections of conics',36),(303,'Polar or parametric form',36),(304,'Similar figures',37),(305,'The Pythagorean theorem & its converse',37),(306,'Radians, converting radians & degrees',37),(307,'Arc length, sector area, angular and linear velocity',37),(308,'Reference angles (using coterminal angles)',37),(309,'Unit circle',38),(310,'Sine & cosine functions - definitions, graphs, & properties',38),(311,'Tangent & cotangent functions - definitions, graphs, & properties',38),(312,'Secant & cosecant functions - definitions, graphs, & properties',38),(313,'Inverse trigonometric functions - definitions, graphs, & properties',38),(314,'Combinations and compositions of functions',38),(315,'Trigonometric functions of special angles',38),(316,'Trigonometric functions of non-special angles',38),(317,'Modeling with trigonometric functions',38),(318,'Sine, cosine, and tangent of an angle in a right triangle',39),(319,'Applications of special triangles & right triangles',39),(320,'Law of sines (angle-side-angle)',39),(321,'Law of cosines (side-angle-side, side-side-side)',39),(322,'Law of sines or law of cosines (side-side-angle)',39),(323,'Applications of law of sines & law of cosines',39),(324,'Area of a triangle',39),(325,'Double-angle & half-angle formulas',40),(326,'Addition & subtraction formulas',40),(327,'Using and proving basic identities',40),(328,'Using and proving general identities',40),(329,'Solving trigonometric equations exactly',40),(330,'Solving trigonometric equations numerically',40),(333,'Product-to-sum & sum-to-product formulas',40),(334,'Polar and rectangular coordinates',41),(335,'Curves',41),(336,'Inequalities',41),(337,'Verification of solutions',42),(338,'Classifications of differential equations',42),(339,'Linear',43),(340,'Exact',43),(341,'Separable',43),(342,'Substitutions',43),(343,'Equilibrium points and phase lines',43),(344,'Applications - exponential growth & decay',43),(345,'Applications - logistic',43),(346,'Applications - mixing problems',43),(347,'Applications - circuits',43),(348,'Applications - 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systems',46),(375,'Verification of solutions',46),(376,'Applications',46),(377,'Distinct real eigenvalues',46),(378,'Complex eigenvalues',46),(379,'Repeated eigenvalues',46),(380,'Reduction to first order systems',46),(381,'Nonhomogeneous systems',46),(382,'Phase planes',46),(383,'Nonlinear systems',46),(384,'Euler',47),(385,'Runge-Kutta',47),(387,'Ordinary point',48),(388,'Singular point',48),(389,'Bessel functions',48),(390,'Classification',49),(391,'Verification of solutions',49),(392,'Heat equation',49),(393,'Wave equation',49),(394,'Laplace\'s equation',49),(395,'Other separable equations',49),(396,'Fourier series',49),(397,'Inhomogenous equations',49),(398,'Systems with 2 variables',50),(399,'Systems with 3 variables',50),(400,'Systems with 4 or more variables',50),(401,'Matrix-vector forms',50),(402,'Vector equations',50),(403,'Augmented matrices',50),(404,'Applications',50),(405,'Matrix algebra',51),(406,'Row operations',51),(407,'Echelon form',51),(408,'Rank',51),(409,'Transpose and trace',51),(410,'Inverses',51),(411,'Elementary matrices',51),(412,'Complex entries',51),(413,'Markov chains',51),(414,'Diagonalization',52),(415,'LU factorization',52),(416,'QR factorization',52),(417,'Singular value decomposition',52),(418,'Jordan form',52),(419,'Vectors',53),(420,'Linear combinations',53),(421,'Span',53),(422,'Linear independence',53),(423,'Subspaces',53),(424,'Basis and dimension',53),(425,'Row, column, and null spaces',53),(426,'Coordinate vectors and change of basis',53),(427,'Vectors and vector arithmetic',54),(428,'Dot product, length, and unit vectors',54),(429,'Cross product',54),(430,'Lines',54),(431,'Planes',54),(432,'Lines with planes',54),(433,'Coordinate systems',54),(434,'Definition and properties',55),(435,'Linear combinations',55),(436,'Span',55),(437,'Linear independence',55),(438,'Subspaces',55),(439,'Basis and dimension',55),(440,'Coordinate vectors and change of 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horizontal',61),(472,'Scale changes: vertical and horizontal',61),(473,'Shift and scale change',61),(474,'Reflect',61),(475,'Reflect and shift',61),(476,'Reflect and scale change',61),(477,'Symmetry: even, odd, neither',61),(478,'Three or more transformations',61),(479,'Vertical shifts',61),(480,'Horizontal shifts',61),(481,'Vertical stretches and compressions',61),(482,'Horizontal stretches and compressions',61),(483,'Reflections and symmetry',61),(484,'Graphs',61),(485,'Finding the slope',62),(486,'Parallel and perpendicular lines',62),(487,'Equations of lines: slope-intercept form',62),(488,'Equations of lines: point-slope form',62),(489,'Equations of lines: standard form',62),(490,'Equations of lines: general',62),(491,'Linear functions',62),(492,'Linear equations',62),(493,'Linear inequalities',62),(494,'Graphs of lines',62),(495,'Applications and models',62),(496,'Solve by factoring',63),(497,'Completing the square',63),(498,'Quadratic formula',63),(499,'Complex roots',63),(500,'Solving equations',63),(501,'Forms: vertex, factored, general',63),(502,'Inequalities',63),(503,'Graphs',63),(504,'Applications and models',63),(505,'Polynomials: add, subtract',64),(506,'Polynomials: multiply',64),(507,'Polynomials: divide',64),(508,'Rational expressions: multiply, divide',64),(509,'Rational expressions: add, subtract',64),(510,'Simplify rational expressions',64),(511,'Partial fractions',64),(512,'Polynomial equations',65),(513,'Polynomial functions',65),(514,'Inequalities involving polynomials',65),(515,'Remainder and factor theorems',65),(516,'Zeros and multiplicities',65),(517,'Counting zeros',65),(518,'Graphs of polynomials',65),(519,'Applications and models',65),(520,'Complex roots',65),(521,'Direct variation',66),(522,'Inverse variation',66),(523,'Mixed variation',66),(524,'Power functions',66),(525,'Applications of power functions',66),(526,'Linear systems',67),(527,'Nonlinear systems',67),(528,'Inequalities',67),(529,'Functions with fractional exponents',68),(530,'Radical functions',68),(531,'Equations',68),(532,'Applications',68),(533,'Simplifying',69),(534,'Rational equations',69),(535,'Rational functions',69),(536,'Rational inequalities',69),(537,'Graphs of rational functions',69),(538,'Asymptotes',69),(539,'Applications and models',69),(540,'1-1 functions',70),(541,'Finding the inverse function',70),(542,'Interpreting inverse functions',70),(543,'Exponential functions',71),(544,'Properties of logarithms',71),(545,'Logarithmic functions',71),(546,'Exponential and logarithmic equations',71),(547,'Inequalities',71),(548,'Graphs',71),(549,'Applications and models - population growth',71),(550,'Applications and models - radioactive decay',71),(551,'Applications and models – general',71),(552,'Notation',72),(553,'Arithmetic',72),(554,'Binomial theorem',72),(555,'Summation formulas',72),(556,'Parabolas',73),(557,'Circles',73),(558,'Ellipses',73),(559,'Hyperbolas',73),(560,'Intersections of conics',73),(561,'Polar or parametric form',73),(562,'Similar figures',74),(563,'The Pythagorean theorem & its converse',74),(564,'Radians, converting radians & degrees',74),(565,'Arc length, sector area, angular and linear velocity',74),(566,'Reference angles (using coterminal angles)',74),(567,'Unit circle',75),(568,'Sine & cosine functions - definitions, graphs, & properties',75),(569,'Tangent & cotangent functions - definitions, graphs, & properties',75),(570,'Secant & cosecant functions - definitions, graphs, & properties',75),(571,'Inverse trigonometric functions - definitions, graphs, & properties',75),(572,'Combinations and compositions of functions',75),(573,'Trigonometric functions of special angles',75),(574,'Trigonometric functions of non-special angles',75),(575,'Modeling with trigonometric functions',75),(576,'Sine, cosine, and tangent of an angle in a right triangle',76),(577,'Applications of special triangles & right triangles',76),(578,'Double-angle & half-angle formulas',77),(579,'Addition & subtraction formulas',77),(580,'Using and proving basic identities',77),(581,'Using and proving general identities',77),(582,'Solving trigonometric equations exactly',77),(583,'Solving trigonometric equations numerically',77),(586,'Product-to-sum & sum-to-product formulas',77),(587,'Polar and rectangular coordinates',78),(588,'Curves',78),(589,'Inequalities',78),(590,'Perimeter',80),(591,'Area',80),(592,'Surface area',80),(593,'Volume',80),(594,'Similar figures',80),(595,'Properties of shapes',80),(596,'Parallel lines with transversals',81),(597,'Bisectors',81),(598,'Complementary/supplementary',81),(599,'Polygons',81),(600,'Rotation and reflection',82),(601,'Arcs and chords',83),(602,'Inscribed and circumscribed',83),(603,'Circumference and area',83),(604,'Vectors and vector arithmetic',84),(605,'Dot product, length, and unit vectors',84),(606,'Cross product',84),(607,'Lines',84),(608,'Planes',84),(609,'Lines with planes',84),(610,'Coordinate systems',84),(611,'Outcomes & events',85),(612,'Probability: direct computation, inclusion/exclusion',85),(613,'Conditional probability -- direct',85),(614,'Independence',85),(615,'Bayes theorem -- inverse probability',85),(616,'Odds',85),(617,'Expectation',86),(618,'Variance, standard deviation',86),(620,'Discrete: probability mass function',86),(621,'Continuous: density function, cumulative distribution function',86),(622,'Generating function',86),(623,'Bernoulli',87),(624,'Binomial',87),(625,'Normal approximation to binomial',87),(626,'Geometric',87),(627,'Negative binomial',87),(628,'Poisson',87),(629,'Hypergeometric',87),(631,'Uniform',88),(632,'Exponential',88),(633,'Gaussian normal',88),(634,'Application of a normal distribution',88),(637,'Other distribution',88),(638,'Chebychev\'s inequality',89),(640,'Central limit theorem',89),(641,'Joint distribution',90),(642,'Marginal distributions',90),(643,'Covariance & correlation',90),(644,'Markov chain',91),(646,'Concepts',92),(647,'Concepts',93),(648,'Ratio 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II errors and power',97),(683,'One sample variance',97),(684,'Chi-squared test for independence',97),(685,'Chi-squared test for goodness of fit',97),(687,'Two sample variances',97),(688,'One-way ANOVA',97),(689,'Multi-way ANOVA',97),(690,'Correlation',98),(691,'Regression',98),(692,'Prediction',98),(693,'Residuals',98),(694,'Hypothesis tests',98),(695,'Confidence intervals',98),(696,'Diagnostics',98),(698,'Rank sum test',99),(699,'Signed rank test',99),(701,'Kruskal-Wallis test',99),(702,'Kolmogorov-Smirnov test',99),(708,'Posterior distribution',100),(709,'Credibility intervals',100),(710,'Hypothesis tests',100),(711,'Descriptive methods',101),(712,'Autocorrelation',101),(713,'Runs test',101),(714,'Seasonal variation',101),(715,'ARIMA models',101),(716,'Forecasting',101),(717,'Frequency domain',101),(718,'Biasedness',102),(719,'Consistency',102),(721,'Maximum likelihood estimation',102),(722,'Nonlinear regression',103),(724,'Parameter estimates',103),(726,'Hypothesis tests',103),(727,'Multiple selection',103),(728,'Model selection',103),(729,'Logistic regression',104),(732,'Factorial arithmetic',105),(733,'Principles (addition, subtraction, multiplication)',105),(734,'Permutations',105),(735,'Combinations',105),(736,'Pigeonhole principle',105),(737,'Inclusion/exclusion',105),(738,'Stars and bars',105),(739,'Recursive',105),(740,'Multiple techniques',105),(741,'Concepts',106),(742,'Solving homogeneous',106),(743,'Solving nonhomogeneous',106),(744,'Adjacency',109),(746,'Eulerian',110),(747,'Hamiltonian',110),(748,'Spanning trees',112),(749,'Kruskal\'s',113),(750,'Dijkstra\'s',113),(751,'Free-body diagrams',114),(752,'Forces',114),(753,'Resultants',114),(754,'Resolution into components',114),(755,'2D equilibrium',114),(756,'3D equilibrium',114),(757,'Free-body diagrams',115),(758,'Moments and couples',115),(759,'Resultants',115),(760,'2D reactions',115),(761,'2D equilibrium',115),(762,'3D reactions',115),(763,'3D equilibrium',115),(764,'Constraints and statical determinacy',115),(765,'Simple trusses',116),(766,'Method of joints',116),(767,'Method of sections',116),(770,'Compound trusses',116),(771,'Frames and machines',116),(773,'Internal forces in members',116),(779,'Centroids',118),(780,'Composite bodies',118),(782,'Resultant of general distributed loading',118),(784,'Area moment of inertia',119),(785,'Parallel axis theorem: area moment of inertia',119),(788,'Composite areas',119),(791,'Mass moment of inertia',119),(793,'Parallel axis theorem: mass moment of inertia',119),(794,'Composite masses',119),(795,'Dry friction',120),(796,'Wedges',120),(800,'Flat belts',120),(806,'Rectilinear motion',122),(807,'Graphical solutions of rectilinear motion problems',122),(808,'Curvilinear motion: 2D rectangular coordinates',122),(809,'Curvilinear motion: normal and tangential coordinates',122),(810,'Curvilinear motion: polar coordinates',122),(812,'Curvilinear motion: cylindrical coordinates',122),(814,'Motion of connected particles',122),(815,'Relative motion: translating axes',122),(816,'Free-body diagrams',123),(817,'2D equations of motion',123),(818,'3D equations of motion',123),(820,'Central-force motion and space mechanics',123),(821,'Work of a force',123),(822,'Principle of work and energy',123),(826,'Conservation of energy',123),(827,'Power and efficiency',123),(828,'Linear impulse and momentum',123),(829,'Angular impulse and momentum',123),(830,'Principle of impulse and momentum',123),(831,'Conservation of momentum',123),(832,'Impact',123),(838,'Variable mass',124),(839,'Rectilinear and curvilinear translation',125),(840,'Rotation about a fixed axis',125),(841,'General plane motion',125),(842,'Absolute motion',125),(843,'Relative motion: velocity, translating axes',125),(844,'Relative motion: velocity, instantaneous centers',125),(845,'Relative motion: acceleration, translating axes',125),(846,'Relative motion: velocity, rotating axes',125),(847,'Relative motion: acceleration, rotating axes',125),(849,'Mass moment of inertia',126),(851,'Parallel axis theorem: mass moment of inertia',126),(852,'Composite masses',126),(853,'Equations of motion',126),(854,'Sliding, rolling, tipping',126),(855,'Work of a force',126),(856,'Principle of work and energy',126),(858,'Kinetic energy',126),(859,'Potential energy',126),(861,'Conservation of energy',126),(862,'Power and efficiency',126),(863,'Linear impulse and momentum',126),(864,'Angular impulse and momentum',126),(865,'Principle of impulse and momentum',126),(866,'Conservation of momentum',126),(867,'Impact: central',126),(868,'Impact: eccentric',126),(870,'General motion',127),(877,'Principal axes and moments of inertia',128),(898,'Axial stress',130),(899,'Shear stress',130),(901,'Simple structures',130),(903,'Factor of safety',130),(904,'Stress on an arbitrary plane',130),(906,'Axial strain',131),(907,'Axial stress-strain diagram',131),(908,'Hooke\'s law: isotropic materials in axial loading',131),(912,'Axial deformation',131),(913,'Statically indeterminate axial members',131),(914,'Thermal expansion',131),(915,'Poisson\'s ratio',131),(916,'Bulk modulus',131),(917,'Shear strain',131),(918,'Stress concentration',131),(926,'Transmission shafts',132),(927,'Angle of twist',132),(936,'Bending stress',133),(938,'Bending deformation',133),(946,'Shear and moment diagrams',134),(947,'Prismatic beams',134),(948,'Singularity functions',134),(954,'Pressure vessels',135),(967,'Maximum distortion energy theory',138),(971,'Prismatic beams',139),(975,'Elastic curve',140),(977,'Singularity functions',140),(978,'Superposition',140),(979,'Superposition for statically indeterminate beams',140),(1011,'Undamped',145),(1014,'Viscous damping',145),(1015,'Coulomb damping',145),(1019,'Rotating unbalance',146),(1024,'Unit systems, conversion of units, dimensional homogeneity',157),(1025,'Thermodynamic properties of a fluid',157),(1026,'Viscosity and other secondary properties',157),(1027,'Streamlines, streaklines and pathlines',157),(1028,'Hydrostatic pressure',158),(1029,'Manometers',158),(1030,'Hydrostatic forces: plane surfaces',158),(1031,'Hydrostatic forces: curved surfaces',158),(1032,'Hydrostatic forces: layered fluids',158),(1033,'Buoyancy and stability',158),(1036,'Continuity',159),(1037,'Linear momentum',159),(1038,'Bernoulli\'s equation',159),(1040,'Energy',159),(1041,'Acceleration field',160),(1042,'Continuity',160),(1043,'Linear momentum',160),(1048,'Buckingham Pi theorem',161),(1050,'Scaling and similarity',161),(1051,'Entry length',162),(1052,'Laminar fully developed pipe flow',162),(1053,'Turbulent pipe flow',162),(1054,'Pressure head loss: major loss and friction factor',162),(1055,'Pressure head loss: minor losses',162),(1057,'Energy equation',162),(1059,'Noncircular ducts',162),(1060,'Multiple-pipe systems',162),(1063,'Boundary layers',163),(1064,'Flat plate boundary layer',163),(1066,'Forces on objects immersed in a flow',163),(1088,'Pumps',167),(1089,'Pumps: performance curves',167),(1092,'Analysis techniques',168),(1093,'Basic analysis using Kirchhoff\'s laws',168),(1094,'Impedance and admittance',168),(1095,'Sinusoids',168),(1096,'Introduction',169),(1097,'Maximum power transfer',169),(1098,'Superposition',169),(1099,'Thevenin\'s and Norton\'s theorems',169),(1100,'Units and scales',170),(1101,'Circuit elements',171),(1102,'System of units',171),(1103,'Capacitor and inductor combinations',172),(1104,'Capacitors',172),(1105,'Inductors',172),(1106,'Mutual inductance',173),(1107,'The ideal transformer',173),(1108,'Loop analysis',174),(1109,'Nodal analysis',174),(1110,'Fundamental op-amp circuits',175),(1111,'Source/load connections',176),(1112,'Circuits with dependent sources',177),(1113,'Circuits with series-parallel resistor combinations',177),(1114,'Kirchhoff\'s law',177),(1115,'Ohm\'s law',177),(1116,'Series and parallel resistor combinations',177),(1117,'Single-loop circuits',177),(1118,'Single-node-pair circuits',177),(1119,'Wye-delta transformations',177),(1120,'Average power',178),(1121,'Complex power',178),(1122,'Effective or rms values',178),(1123,'Maximum average power transfer',178),(1124,'The power factor',178),(1125,'The single-loop circuit',179),(1126,'Unit systems, conversion of units, dimensional homogeneity',180),(1128,'Hydrostatic pressure',180),(1129,'Manometers',180),(1131,'Specific volume and density',180),(1132,'Equilibrium',180),(1133,'Energy',180),(1136,'Work: mechanical',180),(1137,'Work: boundary',180),(1139,'Work: spring',180),(1141,'Gibbs phase rule',181),(1142,'Phase diagrams',181),(1144,'Pure substances: compressed liquid',181),(1146,'Pure substances: two-phase mixture',181),(1149,'Pure substances: phase change processes',181),(1152,'Ideal gas: ideal gas law',181),(1153,'Ideal gas: change in internal energy',181),(1156,'Polytropic process',181),(1159,'First law: closed systems',182),(1161,'Steady-state',183),(1164,'Steady-state',184),(1165,'Transient',184),(1166,'Steady flow devices: nozzles 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1400,0,NULL,'Library',2653,'n7-2005-5s.pg',0,4,'en',0,0),(34131,1412,0,NULL,'Library',2654,'n7-2006-1s.pg',0,4,'en',0,0),(34132,1424,0,NULL,'Library',2654,'n7-2006-11s.pg',0,4,'en',1,1),(34133,595,0,NULL,'Library',2654,'n7-2006-2s.pg',0,2,'en',0,0),(34134,1336,0,NULL,'Library',2654,'n7-2006-6s.pg',0,3,'en',0,0),(34135,595,0,NULL,'Library',2654,'n7-2006-3s.pg',0,1,'en',0,0),(34136,1413,0,NULL,'Library',2654,'n7-2006-4s.pg',3088,5,'en',0,0),(34137,1411,0,NULL,'Library',2654,'n7-2006-13s.pg',3091,4,'en',1,1),(34138,1337,0,NULL,'Library',2654,'n7-2006-14s.pg',0,3,'en',0,1),(34139,184,0,NULL,'Library',2654,'n7-2006-8rs.pg',3092,2,'en',0,0),(34140,1413,0,NULL,'Library',2654,'n7-2006-15s.pg',3034,3,'en',0,1),(34141,1337,0,NULL,'Library',2654,'n7-2006-5s.pg',0,4,'en',0,0),(34142,1424,0,NULL,'Library',2654,'n7-2006-7s.pg',0,5,'en',0,0),(34143,611,0,NULL,'Library',2654,'n7-2006-10s.pg',0,1,'en',0,0),(34144,657,0,NULL,'Library',2654,'n7-2006-9s.pg',0,4,'en',0,0),(34145,595,0,NULL,'Library',2655,'n7-2009-15s.pg',0,2,'en',0,0),(34146,184,0,NULL,'Library',2655,'n7-2009-14s.pg',0,2,'en',1,1),(34147,1411,0,NULL,'Library',2655,'n7-2009-13s.pg',2723,3,'en',0,1),(34148,184,0,NULL,'Library',2655,'n7-2009-8s.pg',0,3,'en',0,1),(34149,304,0,NULL,'Library',2655,'n7-2009-4s.pg',0,3,'en',0,0),(34150,129,0,NULL,'Library',2655,'n7-2009-4s.pg',0,3,'en',0,0),(34151,562,0,NULL,'Library',2655,'n7-2009-4s.pg',0,3,'en',0,0),(34152,594,0,NULL,'Library',2655,'n7-2009-4s.pg',0,3,'en',0,0),(34153,1400,0,NULL,'Library',2655,'n7-2009-9s.pg',3093,4,'en',0,0),(34154,237,0,NULL,'Library',2655,'n7-2009-7s.pg',0,4,'en',0,0),(34155,495,0,NULL,'Library',2655,'n7-2009-7s.pg',0,4,'en',0,0),(34156,254,0,NULL,'Library',2655,'n7-2009-2s.pg',0,2,'en',0,1),(34157,512,0,NULL,'Library',2655,'n7-2009-2s.pg',0,2,'en',0,1),(34158,1400,0,NULL,'Library',2655,'n7-2009-1s.pg',0,5,'en',0,1),(34159,1398,0,NULL,'Library',2655,'n7-2009-10s.pg',0,4,'en',0,0),(34160,1337,0,NULL,'Library',2655,'n7-2009-6s.pg',0,5,'en',0,0),(34161,1400,0,NULL,'Library',2655,'n7-2009-5s.pg',0,5,'en',0,1),(34162,611,0,NULL,'Library',2655,'n7-2009-12s.pg',0,2,'en',0,1),(34163,1427,0,NULL,'Library',2655,'n7-2009-3s.pg',3094,3,'en',0,0),(34164,268,0,NULL,'Library',2656,'n7-2007-10s.pg',0,4,'en',0,0),(34165,526,0,NULL,'Library',2656,'n7-2007-10s.pg',0,4,'en',0,0),(34166,184,0,NULL,'Library',2656,'n7-2007-2s.pg',0,2,'en',0,0),(34167,593,0,NULL,'Library',2656,'n7-2007-6s.pg',0,3,'en',0,0),(34168,1450,0,NULL,'Library',2656,'n7-2007-3s.pg',0,5,'en',0,0),(34169,1445,0,NULL,'Library',2656,'n7-2007-7s.pg',0,3,'en',0,0),(34170,1024,0,NULL,'Library',2656,'n7-2007-7s.pg',0,3,'en',0,0),(34171,1126,0,NULL,'Library',2656,'n7-2007-7s.pg',0,3,'en',0,0),(34172,1288,0,NULL,'Library',2656,'n7-2007-7s.pg',0,3,'en',0,0),(34173,1424,0,NULL,'Library',2656,'n7-2007-13rs.pg',0,4,'en',0,1),(34174,595,0,NULL,'Library',2656,'n7-2007-4s.pg',0,2,'en',0,0),(34175,1414,0,NULL,'Library',2656,'n7-2007-11s.pg',0,3,'en',0,0),(34176,1420,0,NULL,'Library',2656,'n7-2007-1s.pg',0,2,'en',0,0),(34177,1400,0,NULL,'Library',2656,'n7-2007-9s.pg',0,4,'en',0,0),(34178,304,0,NULL,'Library',2656,'n7-2007-5s.pg',0,2,'en',0,0),(34179,129,0,NULL,'Library',2656,'n7-2007-5s.pg',0,2,'en',0,0),(34180,562,0,NULL,'Library',2656,'n7-2007-5s.pg',0,2,'en',0,0),(34181,594,0,NULL,'Library',2656,'n7-2007-5s.pg',0,2,'en',0,0),(34182,1400,0,NULL,'Library',2656,'n7-2007-14s.pg',3093,4,'en',0,1),(34183,1413,0,NULL,'Library',2657,'n7-2008-2s.pg',3088,4,'en',0,0),(34184,1411,0,NULL,'Library',2657,'n7-2008-1s.pg',0,2,'en',0,0),(34185,595,0,NULL,'Library',2657,'n7-2008-6s.pg',0,2,'en',0,0),(34186,658,0,NULL,'Library',2657,'n7-2008-10s.pg',3089,3,'en',0,0),(34187,595,0,NULL,'Library',2657,'n7-2008-13s.pg',0,3,'en',0,0),(34188,1424,0,NULL,'Library',2657,'n7-2008-4s.pg',0,4,'en',0,0),(34189,1412,0,NULL,'Library',2657,'n7-2008-11s.pg',0,3,'en',0,0),(34190,735,0,NULL,'Library',2657,'n7-2008-14s.pg',0,2,'en',1,1),(34191,595,0,NULL,'Library',2657,'n7-2008-12.pg',0,2,'en',0,1),(34192,304,0,NULL,'Library',2657,'n7-2008-7s.pg',0,4,'en',0,0),(34193,129,0,NULL,'Library',2657,'n7-2008-7s.pg',0,4,'en',0,0),(34194,562,0,NULL,'Library',2657,'n7-2008-7s.pg',0,4,'en',0,0),(34195,594,0,NULL,'Library',2657,'n7-2008-7s.pg',0,4,'en',0,0),(34196,184,0,NULL,'Library',2657,'n7-2008-8s.pg',3092,2,'en',0,0),(34197,184,0,NULL,'Library',2657,'n7-2008-15s.pg',0,3,'en',1,1),(34198,1449,0,NULL,'Library',2657,'n7-2008-3s.pg',0,2,'en',0,0),(34199,1413,0,NULL,'Library',2657,'n7-2008-5rs.pg',3095,5,'en',0,0),(34200,183,0,NULL,'Library',2657,'n7-2008-9s.pg',0,5,'en',0,0),(34201,591,0,NULL,'Library',2658,'n8-2009-14s.pg',0,2,'en',0,1),(34202,591,0,NULL,'Library',2658,'n8-2009-4s.pg',0,3,'en',0,0),(34203,1394,0,NULL,'Library',2658,'n8-2009-2s.pg',0,3,'en',0,0),(34204,1336,0,NULL,'Library',2658,'n8-2009-5s.pg',0,4,'en',0,0),(34205,237,0,NULL,'Library',2658,'n8-2009-9s.pg',0,3,'en',0,0),(34206,495,0,NULL,'Library',2658,'n8-2009-9s.pg',0,3,'en',0,0),(34207,321,0,NULL,'Library',2658,'n8-2009-3s.pg',0,2,'en',0,0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4-2008-10s.pg',0,2,'en',0,0),(34363,1391,0,NULL,'Library',2667,'n3-2006-3s.pg',0,4,'en',0,0),(34364,1402,0,NULL,'Library',2667,'n3-2006-1s.pg',3102,4,'en',1,0),(34365,590,0,NULL,'Library',2667,'n3-2006-6s.pg',0,3,'en',0,0),(34366,1391,0,NULL,'Library',2667,'n3-2006-16s.pg',0,3,'en',0,1),(34367,1390,0,NULL,'Library',2667,'n3-2006-13s.pg',0,4,'en',0,1),(34368,1445,0,NULL,'Library',2667,'n3-2006-7s.pg',0,4,'en',0,0),(34369,1024,0,NULL,'Library',2667,'n3-2006-7s.pg',0,4,'en',0,0),(34370,1126,0,NULL,'Library',2667,'n3-2006-7s.pg',0,4,'en',0,0),(34371,1288,0,NULL,'Library',2667,'n3-2006-7s.pg',0,4,'en',0,0),(34372,1391,0,NULL,'Library',2667,'n3-2006-8s.pg',0,2,'en',0,0),(34373,1391,0,NULL,'Library',2667,'n3-2006-4s.pg',0,4,'en',0,0),(34374,1390,0,NULL,'Library',2667,'n3-2006-11s.pg',0,4,'en',0,0),(34375,1396,0,NULL,'Library',2667,'n3-2006-10s.pg',3103,4,'en',0,0),(34376,1391,0,NULL,'Library',2667,'n3-2006-9s.pg',0,4,'en',0,0),(34377,1396,0,NULL,'Library',2667,'n3-2006-2s.pg',0,4,'en',0,0),(34378,1391,0,NULL,'Library',2668,'n3-2009-9s.pg',0,4,'en',0,0),(34379,1391,0,NULL,'Library',2668,'n3-2009-3s.pg',0,4,'en',0,0),(34380,1400,0,NULL,'Library',2668,'n3-2009-10s.pg',0,4,'en',0,0),(34381,1390,0,NULL,'Library',2668,'n3-2009-2s.pg',0,2,'en',0,0),(34382,1446,0,NULL,'Library',2668,'n3-2009-8s.pg',3104,2,'en',0,0),(34383,1508,0,NULL,'Library',2668,'n3-2009-6s.pg',0,2,'en',0,0),(34384,1413,0,NULL,'Library',2668,'n3-2009-1s.pg',3105,3,'en',0,0),(34385,1391,0,NULL,'Library',2668,'n3-2009-11s.pg',0,4,'en',0,1),(34386,1446,0,NULL,'Library',2668,'n3-2009-7s.pg',0,2,'en',0,0),(34387,1391,0,NULL,'Library',2668,'n3-2009-13s.pg',0,3,'en',1,1),(34388,1391,0,NULL,'Library',2668,'n3-2009-15s.pg',0,4,'en',1,1),(34389,1336,0,NULL,'Library',2668,'n3-2009-12s.pg',0,2,'en',0,1),(34390,1391,0,NULL,'Library',2668,'n3-2009-4s.pg',0,4,'en',0,0),(34391,1413,0,NULL,'Library',2669,'n3-2008-11s.pg',3105,4,'en',0,1),(34392,1336,0,NULL,'Library',2669,'n3-2008-9s.pg',3097,4,'en',0,0),(34393,1446,0,NULL,'Library',2669,'n3-2008-14s.pg',3104,2,'en',0,1),(34394,1390,0,NULL,'Library',2669,'n3-2008-12s.pg',0,2,'en',0,0),(34395,1508,0,NULL,'Library',2669,'n3-2008-8s.pg',0,2,'en',0,0),(34396,733,0,NULL,'Library',2669,'n3-2008-10s.pg',0,2,'en',0,0),(34397,1396,0,NULL,'Library',2669,'n3-2008-3s.pg',0,3,'en',0,0),(34398,1390,0,NULL,'Library',2669,'n3-2008-2.pg',0,2,'en',0,0),(34399,1391,0,NULL,'Library',2669,'n3-2008-5s.pg',0,2,'en',1,0),(34400,1390,0,NULL,'Library',2669,'n3-2008-1s.pg',0,2,'en',0,0),(34401,1391,0,NULL,'Library',2669,'n3-2008-4s.pg',1668,4,'en',0,0),(34402,1414,0,NULL,'Library',2670,'n6-2007-2s.pg',0,3,'en',0,0),(34403,1400,0,NULL,'Library',2670,'n6-2007-6s.pg',0,3,'en',0,0),(34404,591,0,NULL,'Library',2670,'n6-2007-7s.pg',0,3,'en',0,0),(34405,590,0,NULL,'Library',2670,'n6-2007-11s.pg',0,3,'en',1,1),(34406,237,0,NULL,'Library',2670,'n6-2007-12s.pg',0,4,'en',0,1),(34407,495,0,NULL,'Library',2670,'n6-2007-12s.pg',0,4,'en',0,1),(34408,657,0,NULL,'Library',2670,'n6-2007-10s.pg',0,2,'en',0,0),(34409,1422,0,NULL,'Library',2670,'n6-2007-3s.pg',0,4,'en',0,0),(34410,1390,0,NULL,'Library',2670,'n6-2007-1s.pg',0,3,'en',0,0),(34411,1424,0,NULL,'Library',2670,'n6-2007-15s.pg',0,4,'en',0,1),(34412,1337,0,NULL,'Library',2670,'n6-2007-13s.pg',0,3,'en',0,1),(34413,1413,0,NULL,'Library',2670,'n6-2007-14s.pg',3034,3,'en',0,1),(34414,187,0,NULL,'Library',2670,'n6-2007-8s.pg',3085,3,'en',0,0),(34415,595,0,NULL,'Library',2670,'n6-2007-5s.pg',0,3,'en',0,0),(34416,1413,0,NULL,'Library',2671,'n6-2008-3s.pg',3045,4,'en',0,0),(34417,1400,0,NULL,'Library',2671,'n6-2008-14s.pg',0,4,'en',1,1),(34418,183,0,NULL,'Library',2671,'n6-2008-7rs.pg',0,3,'en',0,0),(34419,1400,0,NULL,'Library',2671,'n6-2008-6s.pg',0,3,'en',0,0),(34420,1400,0,NULL,'Library',2671,'n6-2008-9s.pg',0,4,'en',0,0),(34421,1400,0,NULL,'Library',2671,'n6-2008-8s.pg',0,4,'en',0,0),(34422,1413,0,NULL,'Library',2671,'n6-2008-15.pg',3105,4,'en',0,1),(34423,1414,0,NULL,'Library',2671,'n6-2008-13s.pg',0,3,'en',0,1),(34424,1445,0,NULL,'Library',2671,'n6-2008-11rs.pg',0,4,'en',0,1),(34425,1024,0,NULL,'Library',2671,'n6-2008-11rs.pg',0,4,'en',0,1),(34426,1126,0,NULL,'Library',2671,'n6-2008-11rs.pg',0,4,'en',0,1),(34427,1288,0,NULL,'Library',2671,'n6-2008-11rs.pg',0,4,'en',0,1),(34428,1412,0,NULL,'Library',2671,'n6-2008-2s.pg',0,5,'en',0,0),(34429,595,0,NULL,'Library',2671,'n6-2008-4s.pg',0,3,'en',0,0),(34430,658,0,NULL,'Library',2671,'n6-2008-10s.pg',0,3,'en',0,0),(34431,1422,0,NULL,'Library',2672,'n6-2009-10s.pg',0,4,'en',0,0),(34432,205,0,NULL,'Library',2672,'n6-2009-7s.pg',0,4,'en',0,0),(34433,463,0,NULL,'Library',2672,'n6-2009-7s.pg',0,4,'en',0,0),(34434,184,0,NULL,'Library',2672,'n6-2009-8s.pg',0,3,'en',1,1),(34435,1392,0,NULL,'Library',2672,'n6-2009-3s.pg',0,4,'en',0,0),(34436,1413,0,NULL,'Library',2672,'n6-2009-4s.pg',3095,5,'en',0,0),(34437,595,0,NULL,'Library',2672,'n6-2009-6s.pg',0,3,'en',0,0),(34438,1420,0,NULL,'Library',2672,'n6-2009-2s.pg',0,3,'en',0,0),(34439,1413,0,NULL,'Library',2672,'n6-2009-13s.pg',3105,5,'en',0,1),(34440,1400,0,NULL,'Library',2672,'n6-2009-12s.pg',3106,4,'en',0,1),(34441,1400,0,NULL,'Library',2672,'n6-2009-9s.pg',0,5,'en',0,0),(34442,1400,0,NULL,'Library',2672,'n6-2009-5s.pg',0,4,'en',0,0),(34443,1409,0,NULL,'Library',2673,'n6-2006-3s.pg',0,3,'en',1,0),(34444,1400,0,NULL,'Library',2673,'n6-2006-7s.pg',0,2,'en',0,0),(34445,1400,0,NULL,'Library',2673,'n6-2006-14s.pg',0,4,'en',0,1),(34446,1424,0,NULL,'Library',2673,'n6-2006-11s.pg',0,3,'en',1,1),(34447,246,0,NULL,'Library',2673,'n6-2006-13s.pg',0,2,'en',1,1),(34448,504,0,NULL,'Library',2673,'n6-2006-13s.pg',0,2,'en',1,1),(34449,1424,0,NULL,'Library',2673,'n6-2006-6r.pg',0,5,'en',0,0),(34450,1393,0,NULL,'Library',2673,'n6-2006-5s.pg',0,3,'en',0,0),(34451,196,0,NULL,'Library',2673,'n6-2006-12s.pg',0,3,'en',0,1),(34452,1422,0,NULL,'Library',2673,'n6-2006-1rs.pg',0,2,'en',0,0),(34453,1413,0,NULL,'Library',2674,'n6-2005-1s.pg',3088,5,'en',0,0),(34454,1411,0,NULL,'Library',2674,'n6-2005-11s.pg',3091,3,'en',0,1),(34455,611,0,NULL,'Library',2674,'n6-2005-15s.pg',0,2,'en',0,1),(34456,1400,0,NULL,'Library',2674,'n6-2005-4s.pg',0,4,'en',0,0),(34457,595,0,NULL,'Library',2674,'n6-2005-6s.pg',0,3,'en',0,0),(34458,1413,0,NULL,'Library',2674,'n6-2005-5s.pg',3095,5,'en',0,0),(34459,1400,0,NULL,'Library',2674,'n6-2005-14s.pg',0,4,'en',0,1),(34460,1400,0,NULL,'Library',2674,'n6-2005-9s.pg',0,4,'en',0,0),(34461,595,0,NULL,'Library',2674,'n6-2005-7s.pg',0,3,'en',0,0),(34462,1400,0,NULL,'Library',2674,'n6-2005-8s.pg',3106,4,'en',0,0),(34463,1400,0,NULL,'Library',2674,'n6-2005-3s.pg',0,4,'en',0,0),(34464,1400,0,NULL,'Library',2674,'n6-2005-10s.pg',0,5,'en',0,0),(34465,1402,0,NULL,'Library',2675,'n5-2005-3s.pg',3107,1,'en',0,0),(34466,658,0,NULL,'Library',2675,'n5-2005-10s.pg',3089,1,'en',0,0),(34467,1424,0,NULL,'Library',2675,'n5-2005-2s.pg',0,4,'en',0,0),(34468,590,0,NULL,'Library',2675,'n5-2005-15s.pg',0,1,'en',0,0),(34469,1391,0,NULL,'Library',2675,'n5-2005-4s.pg',0,1,'en',0,0),(34470,1393,0,NULL,'Library',2675,'n5-2005-12s.pg',0,2,'en',0,1),(34471,184,0,NULL,'Library',2675,'n5-2005-9s.pg',0,1,'en',0,0),(34472,1400,0,NULL,'Library',2675,'n5-2005-13s.pg',0,3,'en',1,1),(34473,1336,0,NULL,'Library',2675,'n5-2005-8s.pg',0,3,'en',0,0),(34474,1415,0,NULL,'Library',2675,'n5-2005-5s.pg',0,4,'en',0,0),(34475,1413,0,NULL,'Library',2675,'n5-2005-11s.pg',0,5,'en',0,1),(34476,599,0,NULL,'Library',2675,'n5-2005-6s.pg',0,1,'en',0,0),(34477,183,0,NULL,'Library',2676,'n5-2007-8s.pg',0,1,'en',0,0),(34478,1400,0,NULL,'Library',2676,'n5-2007-9s.pg',0,2,'en',0,0),(34479,1402,0,NULL,'Library',2676,'n5-2007-1s.pg',3102,2,'en',0,0),(34480,1413,0,NULL,'Library',2676,'n5-2007-4s.pg',3095,5,'en',0,0),(34481,611,0,NULL,'Library',2676,'n5-2007-14s.pg',0,2,'en',1,1),(34482,1393,0,NULL,'Library',2676,'n5-2007-5.pg',0,5,'en',0,0),(34483,657,0,NULL,'Library',2676,'n5-2007-12s.pg',0,1,'en',1,1),(34484,1336,0,NULL,'Library',2676,'n5-2007-7s.pg',3097,3,'en',0,0),(34485,1413,0,NULL,'Library',2676,'n5-2007-10s.pg',3088,2,'en',0,0),(34486,1396,0,NULL,'Library',2676,'n5-2007-2.pg',3103,2,'en',0,0),(34487,1445,0,NULL,'Library',2676,'n5-2007-6s.pg',0,4,'en',0,0),(34488,1024,0,NULL,'Library',2676,'n5-2007-6s.pg',0,4,'en',0,0),(34489,1126,0,NULL,'Library',2676,'n5-2007-6s.pg',0,4,'en',0,0),(34490,1288,0,NULL,'Library',2676,'n5-2007-6s.pg',0,4,'en',0,0),(34491,304,0,NULL,'Library',2676,'n5-2007-11s.pg',0,1,'en',0,0),(34492,129,0,NULL,'Library',2676,'n5-2007-11s.pg',0,1,'en',0,0),(34493,562,0,NULL,'Library',2676,'n5-2007-11s.pg',0,1,'en',0,0),(34494,594,0,NULL,'Library',2676,'n5-2007-11s.pg',0,1,'en',0,0),(34495,1400,0,NULL,'Library',2677,'n5-2008-9s.pg',3090,5,'en',0,0),(34496,1413,0,NULL,'Library',2677,'n5-2008-11.pg',3034,5,'en',1,1),(34497,595,0,NULL,'Library',2677,'n5-2008-6s.pg',0,1,'en',0,0),(34498,1402,0,NULL,'Library',2677,'n5-2008-2s.pg',0,2,'en',0,0),(34499,612,0,NULL,'Library',2677,'n5-2008-15s.pg',0,1,'en',0,1),(34500,183,0,NULL,'Library',2677,'n5-2008-4s.pg',0,1,'en',0,0),(34501,595,0,NULL,'Library',2677,'n5-2008-5s.pg',0,3,'en',0,0),(34502,1392,0,NULL,'Library',2677,'n5-2008-1rs.pg',0,4,'en',0,0),(34503,1395,0,NULL,'Library',2677,'n5-2008-14s.pg',3101,2,'en',1,1),(34504,183,0,NULL,'Library',2677,'n5-2008-10s.pg',0,1,'en',0,0),(34505,1402,0,NULL,'Library',2678,'n5-2006-11s.pg',0,5,'en',0,1),(34506,1409,0,NULL,'Library',2678,'n5-2006-3s.pg',2004,1,'en',0,0),(34507,1393,0,NULL,'Library',2678,'n5-2006-6s.pg',0,1,'en',0,0),(34508,1400,0,NULL,'Library',2678,'n5-2006-12s.pg',0,4,'en',0,1),(34509,1400,0,NULL,'Library',2678,'n5-2006-7s.pg',0,5,'en',0,0),(34510,595,0,NULL,'Library',2678,'n5-2006-13s.pg',0,1,'en',0,0),(34511,1395,0,NULL,'Library',2678,'n5-2006-15s.pg',3101,1,'en',1,1),(34512,1413,0,NULL,'Library',2678,'n5-2006-8s.pg',3099,5,'en',0,0),(34513,1402,0,NULL,'Library',2678,'n5-2006-4s.pg',3107,1,'en',0,0),(34514,1390,0,NULL,'Library',2678,'n5-2006-2s.pg',0,1,'en',0,0),(34515,1413,0,NULL,'Library',2678,'n5-2006-5s.pg',3095,5,'en',0,0),(34516,657,0,NULL,'Library',2679,'n5-2009-14s.pg',0,1,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Columbia','Contrib',177,'hw11_q1_a.pg',0,3,'en',0,0),(37563,643,28,_binary 'University of British Columbia','Contrib',177,'hw11_q1_b.pg',0,3,'en',0,0),(37564,643,28,_binary 'University of British Columbia','Contrib',177,'hw11_q1_c.pg',0,3,'en',0,0),(37565,643,28,_binary 'University of British Columbia','Contrib',177,'hw11_q2_a.pg',0,3,'en',0,0),(37566,637,25,_binary 'University of British Columbia','Contrib',178,'HW07-01.pg',0,3,'en',0,0),(37567,637,25,_binary 'University of British Columbia','Contrib',178,'HW07-03.pg',0,3,'en',0,0),(37568,637,25,_binary 'University of British Columbia','Contrib',178,'HW07-04.pg',0,4,'en',0,0),(37569,637,25,_binary 'University of British Columbia','Contrib',178,'HW07-02.pg',0,3,'en',0,0),(37570,612,25,_binary 'University of British Columbia','Contrib',179,'HW03-05.pg',0,3,'en',0,0),(37571,612,25,_binary 'University of British Columbia','Contrib',179,'HW03-02.pg',0,3,'en',0,0),(37572,612,25,_binary 'University of British 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Columbia','Contrib',181,'HW05-04.pg',0,4,'en',0,0),(37583,611,25,_binary 'University of British Columbia','Contrib',182,'HW02-03.pg',0,3,'en',0,0),(37584,611,25,_binary 'University of British Columbia','Contrib',182,'HW02-04.pg',0,3,'en',0,0),(37585,611,25,_binary 'University of British Columbia','Contrib',182,'HW02-02.pg',0,4,'en',0,0),(37586,611,25,_binary 'University of British Columbia','Contrib',182,'HW02-05.pg',0,3,'en',0,0),(37587,611,25,_binary 'University of British Columbia','Contrib',182,'HW02-01.pg',0,2,'en',0,0),(37588,638,28,_binary 'University of British Columbia','Contrib',183,'hw12_q3.pg',0,3,'en',0,0),(37589,729,180,_binary 'UBC','Contrib',2984,'logistic_golf.pg',0,4,'en',0,0),(37590,724,180,_binary 'UBC','Contrib',2984,'multireg_gaitspeed.pg',0,3,'en',0,0),(37591,729,180,_binary 'UBC','Contrib',2984,'logistic_biomarker.pg',0,4,'en',0,0),(37592,726,180,_binary 'UBC','Contrib',2984,'multireg_stockprice.pg',0,4,'en',0,0),(37593,643,0,NULL,'Contrib',186,'stat443_hw01_03.pg',0,0,'en',0,0),(37594,647,0,NULL,'Contrib',191,'hw01-q1.pg',0,2,'en',0,0),(37595,656,0,NULL,'Contrib',191,'hw01-q3.pg',0,0,'en',0,0),(37596,656,0,NULL,'Contrib',191,'hw01-q2.pg',0,0,'en',0,0),(37597,660,0,NULL,'Contrib',191,'hw01-q5.pg',0,0,'en',0,0),(37598,660,0,NULL,'Contrib',191,'hw01-q4.pg',0,0,'en',0,0),(37599,660,35,_binary 'University of British Columbia','Contrib',2985,'q01.pg',0,3,'en',0,0),(37600,668,35,_binary 'University of British Columbia','Contrib',2985,'q10.pg',0,3,'en',0,0),(37601,660,35,_binary 'University of British Columbia','Contrib',2985,'q03.pg',0,3,'en',0,0),(37602,668,35,_binary 'University of British Columbia','Contrib',2985,'q07.pg',0,3,'en',0,0),(37603,668,35,_binary 'University of British Columbia','Contrib',2985,'q08.pg',0,3,'en',0,0),(37604,668,35,_binary 'University of British Columbia','Contrib',2985,'q05.pg',0,3,'en',0,0),(37605,668,35,_binary 'University of British Columbia','Contrib',2985,'q06.pg',0,3,'en',0,0),(37606,660,35,_binary 'University of British Columbia','Contrib',2985,'q02.pg',0,3,'en',0,0),(37607,668,35,_binary 'University of British Columbia','Contrib',2985,'q09.pg',0,3,'en',0,0),(37608,677,0,NULL,'Contrib',2986,'hw11-q01a.pg',0,3,'en',0,0),(37609,668,0,NULL,'Contrib',196,'hw07-q01.pg',0,0,'en',0,0),(37610,647,26,_binary 'The University of BC','Contrib',197,'hw03-q04.pg',0,4,'en',0,0),(37611,660,0,NULL,'Contrib',197,'hw03-q02.pg',0,3,'en',0,0),(37612,693,0,NULL,'Contrib',197,'hw03-q06.pg',0,3,'en',0,0),(37613,690,29,_binary 'University of BC','Contrib',2987,'hw04-q01.pg',0,0,'en',0,0),(37614,690,27,_binary 'University of BC','Contrib',2987,'hw04-q05.pg',0,0,'en',0,0),(37615,690,27,_binary 'University of BC','Contrib',2987,'hw04-q06.pg',0,0,'en',0,0),(37616,658,29,_binary 'University of BC','Contrib',2987,'hw04-q02.pg',0,0,'en',0,0),(37617,690,27,_binary 'University of BC','Contrib',2987,'hw04-q03.pg',0,0,'en',0,0),(37618,690,27,_binary 'University of BC','Contrib',2987,'hw04-q04.pg',0,0,'en',0,0),(37619,634,27,_binary 'University of BC','Contrib',201,'hw03-q04.pg',0,0,'en',0,0),(37620,658,26,_binary 'University of BC','Contrib',201,'hw03-q02.pg',0,0,'en',0,0),(37621,634,27,_binary 'University of BC','Contrib',201,'hw03-q06.pg',0,0,'en',0,0),(37622,657,26,_binary 'University of BC','Contrib',201,'hw03-q03.pg',0,0,'en',0,0),(37623,634,27,_binary 'University of BC','Contrib',201,'hw03-q05.pg',0,0,'en',0,0),(37624,658,29,_binary 'University of BC','Contrib',201,'hw03-q01.pg',0,0,'en',0,0),(37625,612,27,_binary 'The University of British Columbia','Contrib',2988,'hw08-q02.pg',0,0,'en',0,0),(37626,684,27,_binary 'The University of British Columbia','Contrib',2988,'hw08-q04.pg',0,0,'en',0,0),(37627,612,27,_binary 'The University of British Columbia','Contrib',2988,'hw08-q01.pg',0,0,'en',0,0),(37628,615,27,_binary 'The University of British Columbia','Contrib',2988,'hw08-q03.pg',0,0,'en',0,0),(37629,659,26,_binary 'University of BC','Contrib',2989,'hw02-q02.pg',0,0,'en',0,0),(37630,657,29,_binary 'University of BC','Contrib',2989,'hw02-q01.pg',0,0,'en',0,0),(37631,657,27,_binary 'University of BC','Contrib',2989,'hw02-q03.pg',0,0,'en',0,0),(37632,666,26,_binary 'UBC','Contrib',2990,'hw11-q08.pg',0,0,'en',0,0),(37633,667,26,_binary 'UBC','Contrib',2990,'hw11-q09.pg',0,0,'en',0,0),(37634,668,26,_binary 'UBC','Contrib',2990,'hw11-q02.pg',0,0,'en',0,0),(37635,667,26,_binary 'UBC','Contrib',2990,'hw11-q04.pg',0,0,'en',0,0),(37636,668,26,_binary 'UBC','Contrib',2990,'hw11-q06.pg',0,0,'en',0,0),(37637,668,26,_binary 'UBC','Contrib',2990,'hw11-q05.pg',0,0,'en',0,0),(37638,668,26,_binary 'UBC','Contrib',2990,'hw11-q07.pg',0,0,'en',0,0),(37639,668,26,_binary 'UBC','Contrib',2990,'hw11-q01.pg',0,0,'en',0,0),(37640,666,26,_binary 'UBC','Contrib',2990,'hw11-q03.pg',0,0,'en',0,0),(37641,660,29,_binary 'University of BC','Contrib',2991,'hw06-q02.pg',0,0,'en',0,0),(37642,647,26,_binary 'The University of BC','Contrib',2991,'hw06-q03.pg',0,0,'en',0,0),(37643,693,26,_binary 'University of BC','Contrib',2991,'hw06-q01.pg',0,0,'en',0,0),(37644,647,29,_binary 'University of BC','Contrib',2991,'hw06-q04.pg',0,0,'en',0,0),(37645,662,29,_binary 'University of BC','Contrib',202,'hw09-q02.pg',0,0,'en',0,0),(37646,662,29,_binary 'University of BC','Contrib',202,'hw09-q05.pg',0,0,'en',0,0),(37647,662,0,_binary 'University of BC','Contrib',202,'hw09-q03.pg',0,0,'en',0,0),(37648,661,29,_binary 'University of BC','Contrib',202,'hw09-q07.pg',0,0,'en',0,0),(37649,662,26,_binary 'UBC','Contrib',202,'hw09-q01.pg',0,0,'en',0,0),(37650,668,26,_binary 'UBC','Contrib',2992,'hw10-q07.pg',0,0,'en',0,0),(37651,668,29,_binary 'University of BC','Contrib',2992,'hw10-q01.pg',0,0,'en',0,0),(37652,668,26,_binary 'UBC','Contrib',2992,'hw10-q02.pg',0,0,'en',0,0),(37653,668,26,_binary 'UBC','Contrib',2992,'hw10-q04.pg',0,0,'en',0,0),(37654,668,26,_binary 'UBC','Contrib',2992,'hw10-q06.pg',0,3,'en',0,1),(37655,668,26,_binary 'UBC','Contrib',2992,'hw10-q05.pg',0,0,'en',0,0),(37656,668,26,_binary 'UBC','Contrib',2992,'hw10-q03.pg',0,0,'en',0,0),(37657,692,36,_binary 'University of BC','Contrib',2993,'hw05-q02.pg',0,0,'en',0,0),(37658,691,29,_binary 'University of BC','Contrib',2993,'hw05-q01.pg',0,0,'en',0,0),(37659,691,26,_binary 'The University of BC','Contrib',2993,'hw05-q05.pg',0,0,'en',0,0),(37660,693,26,_binary 'University of BC','Contrib',2993,'hw05-q04.pg',0,0,'en',0,0),(37661,692,26,_binary 'University of BC','Contrib',2993,'hw05-q03.pg',0,0,'en',0,0),(37662,660,26,_binary 'University of British Columbia','Contrib',2994,'hw01-q04.pg',0,0,'en',0,0),(37663,656,27,_binary 'University of BC','Contrib',2994,'hw01-q03.pg',0,0,'en',0,0),(37664,660,0,_binary 'University of British Columbia','Contrib',2994,'hw01-q05.pg',0,0,'en',0,0),(37665,656,29,_binary 'University of BC','Contrib',2994,'hw01-q01.pg',0,0,'en',0,0),(37666,647,26,_binary 'The University of British Columbia','Contrib',2995,'hw07-q01.pg',0,0,'en',0,0),(37667,647,0,NULL,'Contrib',2996,'hw01-q1.pg',0,2,'en',0,0),(37668,656,0,NULL,'Contrib',2996,'hw01-q3.pg',0,0,'en',0,0),(37669,656,0,NULL,'Contrib',2996,'hw01-q2.pg',0,0,'en',0,0),(37670,660,35,_binary 'University of British Columbia','Contrib',2996,'hw01-q5.pg',0,3,'en',0,0),(37671,660,0,NULL,'Contrib',2996,'hw01-q4.pg',0,0,'en',0,0),(37672,668,35,_binary 'University of British Columbia','Contrib',2997,'hw10-q1.pg',0,3,'en',0,0),(37673,668,26,_binary 'UBC','Contrib',2997,'hw10-q5.pg',0,0,'en',0,0),(37674,668,35,_binary 'University of British Columbia','Contrib',2997,'hw10-q2.pg',0,3,'en',0,0),(37675,668,26,_binary 'UBC','Contrib',2997,'hw10-q6.pg',0,0,'en',0,0),(37676,668,35,_binary 'University of British Columbia','Contrib',2997,'hw10-q3.pg',0,3,'en',0,0),(37677,668,26,_binary 'UBC','Contrib',2997,'hw10-q7.pg',0,0,'en',0,0),(37678,668,35,_binary 'University of British Columbia','Contrib',2998,'hw09-q1.pg',0,3,'en',0,0),(37679,612,27,_binary 'The University of British Columbia','Contrib',2999,'hw08-q02.pg',0,0,'en',0,0),(37680,684,27,_binary 'The University of British Columbia','Contrib',2999,'hw08-q04.pg',0,0,'en',0,0),(37681,612,27,_binary 'The University of British Columbia','Contrib',2999,'hw08-q01.pg',0,0,'en',0,0),(37682,615,27,_binary 'The University of British Columbia','Contrib',2999,'hw08-q03.pg',0,0,'en',0,0),(37683,668,35,_binary 'University of British Columbia','Contrib',3000,'hw11-q1.pg',0,3,'en',0,0),(37684,668,35,_binary 'University of British Columbia','Contrib',3000,'hw11-q2.pg',0,3,'en',0,0),(37685,668,26,_binary 'UBC','Contrib',3000,'hw11-q3.pg',0,3,'en',0,1),(37686,660,35,_binary 'University of British Columbia','Contrib',3001,'hw03-q3.pg',0,3,'en',0,0),(37687,647,29,_binary 'University of BC','Contrib',3002,'hw06-q2.pg',0,3,'en',0,0),(37688,647,26,_binary 'The University of BC','Contrib',3002,'hw06-q1.pg',0,4,'en',0,0),(37689,660,35,_binary 'University of British Columbia','Contrib',3002,'hw06-q3.pg',0,3,'en',0,0),(37690,660,0,NULL,'Contrib',3003,'hw05-q6.pg',0,3,'en',0,0),(37691,660,0,NULL,'Contrib',3004,'hw02-q2.pg',0,0,'en',0,0),(37692,646,32,_binary 'UBC','Contrib',214,'HW4-3.pg',0,0,'en',0,0),(37693,646,32,_binary 'UBC','Contrib',214,'HW4-2.pg',0,0,'en',0,0),(37694,646,32,_binary 'UBC','Contrib',214,'HW4-1.pg',0,0,'en',0,0),(37695,646,33,_binary 'UBC','Contrib',215,'HW3-4.pg',0,0,'en',0,0),(37696,646,33,_binary 'UBC','Contrib',215,'HW3-1.pg',0,0,'en',0,0),(37697,646,33,_binary 'UBC','Contrib',215,'HW3-2.pg',0,0,'en',0,0),(37698,646,33,_binary 'UBC','Contrib',215,'HW3-3.pg',0,0,'en',0,0),(37699,646,181,_binary 'UBC','Contrib',215,'HW3-6.pg',0,0,'en',0,0),(37700,646,181,_binary 'UBC','Contrib',215,'HW3-5.pg',0,0,'en',0,0),(37701,688,32,_binary 'University of British Columbia','Contrib',216,'HW2-2.pg',0,0,'en',0,0),(37702,688,32,_binary 'University of British Columbia','Contrib',216,'HW2-1.pg',0,0,'en',0,0),(37703,646,32,_binary 'UBC','Contrib',217,'HW6-2.pg',0,0,'en',0,0),(37704,646,32,_binary 'UBC','Contrib',217,'HW6-3.pg',0,0,'en',0,0),(37705,646,32,_binary 'UBC','Contrib',217,'HW6-4.pg',0,0,'en',0,0),(37706,646,32,_binary 'UBC','Contrib',217,'HW6-1.pg',0,0,'en',0,0),(37707,646,32,_binary 'UBC','Contrib',218,'HW5-2.pg',0,0,'en',0,0),(37708,646,32,_binary 'UBC','Contrib',218,'HW5-3.pg',0,0,'en',0,0),(37709,646,34,_binary 'UBC','Contrib',218,'HW5-4.pg',0,0,'en',0,0),(37710,646,32,_binary 'UBC','Contrib',218,'HW5-1.pg',0,0,'en',0,0),(37711,646,32,_binary 'University of British Columbia','Contrib',219,'HW1-4.pg',0,0,'en',0,0),(37712,646,32,_binary 'University of British Columbia','Contrib',219,'HW1-3.pg',0,0,'en',0,0),(37713,646,32,_binary 'University of British Columbia','Contrib',219,'HW1-2.pg',0,0,'en',0,0),(37714,646,32,_binary 'University of British Columbia','Contrib',219,'HW1-1.pg',0,0,'en',0,0),(37715,650,35,_binary 'University of British Columbia','Contrib',220,'hw04_q03.pg',0,0,'en',0,0),(37716,648,32,_binary 'University of British Columbia','Contrib',220,'hw04_q04.pg',0,0,'en',0,0),(37717,650,35,_binary 'University of British Columbia','Contrib',220,'hw04_q02.pg',0,0,'en',0,0),(37718,648,32,_binary 'University of British Columbia','Contrib',220,'hw04_q01.pg',0,0,'en',0,0),(37719,648,35,_binary 'University of British Columbia','Contrib',221,'hw03_q01.pg',0,0,'en',0,0),(37720,649,35,_binary 'University of British Columbia','Contrib',221,'hw03_q04.pg',0,0,'en',0,0),(37721,648,35,_binary 'University of British Columbia','Contrib',221,'hw03_q03.pg',0,0,'en',0,0),(37722,648,35,_binary 'University of British Columbia','Contrib',221,'hw03_q02.pg',0,0,'en',0,0),(37723,665,35,_binary 'University of British Columbia','Contrib',222,'hw02_q01.pg',0,0,'en',0,0),(37724,665,32,_binary 'University of British Columbia','Contrib',222,'hw02_q03.pg',0,0,'en',0,0),(37725,655,35,_binary 'University of British Columbia','Contrib',222,'hw02_q02.pg',0,0,'en',0,0),(37726,665,32,_binary 'University of British Columbia','Contrib',222,'hw02_q04.pg',0,0,'en',0,0),(37727,651,35,_binary 'University of British Columbia','Contrib',3005,'hw06_q03.pg',0,0,'en',0,0),(37728,650,35,_binary 'University of British Columbia','Contrib',3005,'hw06_q01.pg',0,0,'en',0,0),(37729,652,35,_binary 'University of British Columbia','Contrib',3005,'hw06_q02.pg',0,0,'en',0,0),(37730,651,35,_binary 'University of British Columbia','Contrib',3005,'hw06_q04.pg',0,0,'en',0,0),(37731,651,32,_binary 'University of British Columbia','Contrib',223,'hw05_q03.pg',0,0,'en',0,0),(37732,650,35,_binary 'University of British Columbia','Contrib',223,'hw05_q02.pg',0,0,'en',0,0),(37733,651,35,_binary 'University of British Columbia','Contrib',223,'hw05_q04.pg',0,0,'en',0,0),(37734,651,32,_binary 'University of British Columbia','Contrib',223,'hw05_q01.pg',0,0,'en',0,0),(37735,665,35,_binary 'University of British Columbia','Contrib',224,'hw01_q01.pg',0,0,'en',0,0),(37736,629,35,_binary 'University of British Columbia','Contrib',224,'hw01_q04.pg',0,0,'en',0,0),(37737,648,32,_binary 'University of British Columbia','Contrib',225,'hw07_q01.pg',0,0,'en',0,0),(37738,654,35,_binary 'University of British Columbia','Contrib',225,'hw07_q03.pg',0,0,'en',0,0),(37739,650,35,_binary 'University of British Columbia','Contrib',225,'hw07_q02.pg',0,0,'en',0,0),(37740,660,26,_binary 'University of British Columbia','Contrib',3006,'hw01-q04.pg',0,0,'en',0,0),(37741,656,27,_binary 'University of BC','Contrib',3006,'hw01-q03.pg',0,0,'en',0,0),(37742,660,0,_binary 'University of British Columbia','Contrib',3006,'hw01-q05.pg',0,0,'en',0,0),(37743,656,29,_binary 'University of BC','Contrib',3006,'hw01-q01.pg',0,0,'en',0,0),(37744,668,35,_binary 'University of British Columbia','Contrib',3007,'q07.pg',0,3,'en',0,0),(37745,681,0,NULL,'Contrib',237,'Review16q04.pg',0,3,'en',0,0),(37746,615,0,NULL,'Contrib',237,'Review16q02.pg',0,3,'en',0,0),(37747,659,0,NULL,'Contrib',237,'Review16q03.pg',0,3,'en',0,0),(37748,668,35,_binary 'University of British Columbia','Contrib',238,'hw09-q1_new.pg',0,3,'en',0,0),(37749,612,27,_binary 'The University of British Columbia','Contrib',239,'hw08-q02.pg',0,0,'en',0,0),(37750,684,27,_binary 'The University of British Columbia','Contrib',239,'hw08-q04.pg',0,0,'en',0,0),(37751,612,27,_binary 'The University of British Columbia','Contrib',239,'hw08-q01.pg',0,0,'en',0,0),(37752,615,27,_binary 'The University of British Columbia','Contrib',239,'hw08-q03.pg',0,0,'en',0,0),(37753,668,35,_binary 'University of British Columbia','Contrib',3008,'hw11-q1.pg',0,3,'en',0,0),(37754,668,35,_binary 'University of British Columbia','Contrib',3008,'hw11-q2.pg',0,3,'en',0,0),(37755,668,26,_binary 'UBC','Contrib',3008,'hw11-q3.pg',0,3,'en',0,1),(37756,660,35,_binary 'University of British Columbia','Contrib',3009,'q01.pg',0,3,'en',0,0),(37757,647,29,_binary 'University of BC','Contrib',3010,'hw06-q2.pg',0,3,'en',0,0),(37758,647,26,_binary 'The University of BC','Contrib',3010,'hw06-q1.pg',0,4,'en',0,0),(37759,660,35,_binary 'University of British Columbia','Contrib',3010,'hw06-q3.pg',0,3,'en',0,0),(37760,660,0,NULL,'Contrib',241,'hw05-q6.pg',0,3,'en',0,0),(37761,660,35,_binary 'University of British Columbia','Contrib',3011,'hw01-q9.pg',0,3,'en',0,0),(37762,660,0,NULL,'Contrib',3011,'hw01-q5.pg',0,0,'en',0,0),(37763,667,35,_binary 'University of British Columbia','Contrib',264,'hw07_q06.pg',0,3,'en',0,0),(37764,181,38,NULL,'Contrib',271,'divergence18.pg',156,3,'en',0,1),(37765,177,38,NULL,'Contrib',271,'surfaceIntegrals25.pg',0,3,'en',0,1),(37766,145,38,NULL,'Contrib',271,'arcLength5.pg',0,3,'en',0,1),(37767,172,38,NULL,'Contrib',271,'lineIntegrals21.pg',0,3,'en',0,1),(37768,181,38,NULL,'Contrib',271,'divergence17.pg',0,4,'en',0,1),(37769,177,38,NULL,'Contrib',271,'surfaceIntegrals28.pg',0,3,'en',0,1),(37770,181,38,NULL,'Contrib',271,'divergence10.pg',0,3,'en',0,1),(37771,181,38,NULL,'Contrib',271,'divergence6.pg',374,3,'en',0,1),(37772,1339,0,NULL,'Contrib',273,'newtonInterest1.pg',0,3,'en',0,1),(37773,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates6.pg',0,0,'en',0,0),(37774,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates6.pg',0,0,'en',0,0),(37775,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates6.pg',0,0,'en',0,0),(37776,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates8.pg',0,0,'en',0,0),(37777,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates8.pg',0,0,'en',0,0),(37778,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates8.pg',0,0,'en',0,0),(37779,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates5.pg',0,0,'en',0,0),(37780,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates5.pg',0,0,'en',0,0),(37781,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates5.pg',0,0,'en',0,0),(37782,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates7.pg',0,0,'en',0,0),(37783,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates7.pg',0,0,'en',0,0),(37784,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates7.pg',0,0,'en',0,0),(37785,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates2.pg',0,0,'en',0,0),(37786,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates2.pg',0,0,'en',0,0),(37787,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates2.pg',0,0,'en',0,0),(37788,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates3.pg',0,0,'en',0,0),(37789,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates3.pg',0,0,'en',0,0),(37790,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates3.pg',0,0,'en',0,0),(37791,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates1.pg',0,0,'en',0,0),(37792,140,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates1.pg',0,0,'en',0,0),(37793,433,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates1.pg',0,0,'en',0,0),(37794,610,42,_binary 'University of British Columbia','Contrib',3012,'Coordinates4.pg',0,0,'en',0,0),(37795,140,42,_binary 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Columbia','Contrib',3014,'UBC-FLU-17-001.pg',0,0,'en',0,0),(37805,1053,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-029.pg',0,0,'en',0,0),(37806,1050,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-014.pg',0,0,'en',0,0),(37807,1050,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-017.pg',0,0,'en',0,0),(37808,1050,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-018.pg',0,0,'en',0,0),(37809,1029,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-019.pg',0,0,'en',0,0),(37810,1129,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-019.pg',0,0,'en',0,0),(37811,1037,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-009.pg',0,0,'en',0,0),(37812,1037,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-008.pg',0,0,'en',0,0),(37813,1052,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-028.pg',0,0,'en',0,0),(37814,1030,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-027.pg',0,0,'en',0,0),(37815,1028,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-020.pg',0,0,'en',0,0),(37816,1128,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-020.pg',0,0,'en',0,0),(37817,1028,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-026.pg',0,0,'en',0,0),(37818,1128,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-026.pg',0,0,'en',0,0),(37819,1036,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-006.pg',0,0,'en',0,0),(37820,1033,0,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-003.pg',0,3,'en',0,0),(37821,1028,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-023.pg',0,0,'en',0,0),(37822,1128,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-023.pg',0,0,'en',0,0),(37823,1028,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-022.pg',0,0,'en',0,0),(37824,1128,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-022.pg',0,0,'en',0,0),(37825,1054,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-030.pg',0,0,'en',0,0),(37826,1037,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-007.pg',0,0,'en',0,0),(37827,1031,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-002.pg',0,0,'en',0,0),(37828,1037,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-010.pg',0,0,'en',0,0),(37829,1048,42,_binary 'University of British Columbia','Contrib',3014,'UBC-FLU-17-013.pg',0,0,'en',0,0),(37830,1063,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-038.pg',0,2,'en',0,0),(37831,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-082.pg',0,0,'en',0,0),(37832,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-118.pg',0,2,'en',0,0),(37833,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-048.pg',0,3,'en',0,0),(37834,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-074.pg',0,1,'en',0,0),(37835,1030,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-113.pg',0,3,'en',0,0),(37836,1057,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-059.pg',0,2,'en',0,0),(37837,1089,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-071.pg',0,1,'en',0,0),(37838,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-094.pg',0,0,'en',0,0),(37839,1029,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-16-011.pg',0,2,'en',0,0),(37840,1129,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-16-011.pg',0,2,'en',0,0),(37841,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-073.pg',0,1,'en',0,0),(37842,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-068.pg',0,4,'en',0,0),(37843,1057,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-132.pg',0,2,'en',0,0),(37844,1048,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-148.pg',0,3,'en',0,0),(37845,1063,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-046.pg',0,2,'en',0,0),(37846,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-072.pg',0,1,'en',0,0),(37847,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-057.pg',0,3,'en',0,0),(37848,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-085.pg',0,1,'en',0,0),(37849,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-050.pg',0,3,'en',0,0),(37850,1027,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-115.pg',0,0,'en',0,0),(37851,1152,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-103.pg',0,4,'en',0,0),(37852,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-055.pg',0,3,'en',0,0),(37853,1064,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-096.pg',0,3,'en',0,0),(37854,1036,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-117.pg',0,2,'en',0,0),(37855,1054,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-075.pg',0,1,'en',0,0),(37856,1089,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-067.pg',0,5,'en',0,0),(37857,1026,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-043.pg',0,2,'en',0,0),(37858,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-078.pg',0,2,'en',0,0),(37859,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-099.pg',0,0,'en',0,0),(37860,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-062.pg',0,2,'en',0,0),(37861,1063,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-044.pg',0,2,'en',0,0),(37862,1048,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-149.pg',0,3,'en',0,0),(37863,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-106.pg',0,3,'en',0,0),(37864,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-083.pg',0,2,'en',0,0),(37865,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-091.pg',0,0,'en',0,0),(37866,1089,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-070.pg',0,1,'en',0,0),(37867,1089,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-100.pg',0,3,'en',0,0),(37868,1520,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-052.pg',0,3,'en',0,0),(37869,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-049.pg',0,3,'en',0,0),(37870,1029,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-16-009.pg',0,3,'en',0,0),(37871,1129,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-16-009.pg',0,3,'en',0,0),(37872,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-077.pg',0,1,'en',0,0),(37873,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-058.pg',0,2,'en',0,0),(37874,1036,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-119.pg',0,2,'en',0,0),(37875,1055,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-064.pg',0,3,'en',0,0),(37876,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-063.pg',0,0,'en',0,0),(37877,1028,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-109.pg',0,2,'en',0,0),(37878,1128,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-109.pg',0,2,'en',0,0),(37879,1030,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-112.pg',0,3,'en',0,0),(37880,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-097.pg',0,2,'en',0,0),(37881,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-101.pg',0,0,'en',0,0),(37882,1031,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-16-012.pg',0,3,'en',0,0),(37883,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-090.pg',0,0,'en',0,0),(37884,1152,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-105.pg',0,2,'en',0,0),(37885,1029,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-135.pg',0,2,'en',0,0),(37886,1129,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-135.pg',0,2,'en',0,0),(37887,1027,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-041.pg',0,2,'en',0,0),(37888,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-084.pg',0,2,'en',0,0),(37889,1064,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-095.pg',0,0,'en',0,0),(37890,1063,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-045.pg',0,2,'en',0,0),(37891,1054,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-130.pg',0,4,'en',0,0),(37892,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-065.pg',0,3,'en',0,0),(37893,1054,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-133.pg',0,3,'en',0,0),(37894,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-087.pg',0,1,'en',0,0),(37895,1054,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-129.pg',0,3,'en',0,0),(37896,1033,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-114.pg',0,3,'en',0,0),(37897,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-076.pg',0,3,'en',0,0),(37898,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-121.pg',0,3,'en',0,0),(37899,1033,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-047.pg',0,3,'en',0,0),(37900,1025,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-086.pg',0,1,'en',0,0),(37901,1027,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-116.pg',0,0,'en',0,0),(37902,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-098.pg',0,0,'en',0,0),(37903,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-060.pg',0,2,'en',0,0),(37904,1063,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-040.pg',0,2,'en',0,0),(37905,1028,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-108.pg',0,3,'en',0,0),(37906,1128,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-108.pg',0,3,'en',0,0),(37907,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-066.pg',0,1,'en',0,0),(37908,1152,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-104.pg',0,2,'en',0,0),(37909,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-092.pg',0,0,'en',0,0),(37910,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-079.pg',0,2,'en',0,0),(37911,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-054.pg',0,3,'en',0,0),(37912,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-093.pg',0,4,'en',0,0),(37913,1088,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-069.pg',0,1,'en',0,0),(37914,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-053.pg',0,2,'en',0,0),(37915,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-056.pg',0,3,'en',0,0),(37916,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-089.pg',0,1,'en',0,0),(37917,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-081.pg',0,3,'en',0,0),(37918,1038,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-080.pg',0,3,'en',0,0),(37919,1054,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-131.pg',0,3,'en',0,0),(37920,1168,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-102.pg',0,2,'en',0,0),(37921,1029,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-088.pg',0,2,'en',0,0),(37922,1129,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-088.pg',0,2,'en',0,0),(37923,1066,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-051.pg',0,3,'en',0,0),(37924,1033,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-107.pg',0,2,'en',0,0),(37925,1037,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-061.pg',0,2,'en',0,0),(37926,1063,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-039.pg',0,2,'en',0,0),(37927,1028,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-110.pg',0,2,'en',0,0),(37928,1128,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-110.pg',0,2,'en',0,0),(37929,1028,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-134.pg',0,3,'en',0,0),(37930,1128,42,_binary 'University of British Columbia','Contrib',275,'UBC-FLU-17-134.pg',0,3,'en',0,0),(37931,1025,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-008.pg',0,0,'en',0,0),(37932,1030,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-025.pg',0,0,'en',0,0),(37933,1060,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-109.pg',0,0,'en',0,0),(37934,1089,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-120.pg',0,0,'en',0,0),(37935,1025,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-010.pg',0,0,'en',0,0),(37936,1036,0,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-048.pg',0,0,'en',0,0),(37937,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-052.pg',0,0,'en',0,0),(37938,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-050.pg',0,0,'en',0,0),(37939,1028,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-024.pg',0,0,'en',0,0),(37940,1128,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-024.pg',0,0,'en',0,0),(37941,1038,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-031.pg',0,0,'en',0,0),(37942,1028,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-013.pg',0,0,'en',0,0),(37943,1128,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-013.pg',0,0,'en',0,0),(37944,1025,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-003.pg',0,0,'en',0,0),(37945,1041,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-081.pg',0,0,'en',0,0),(37946,1041,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-085.pg',0,0,'en',0,0),(37947,1037,0,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-058.pg',0,0,'en',0,0),(37948,1038,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-033.pg',0,0,'en',0,0),(37949,1029,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-027.pg',0,0,'en',0,0),(37950,1129,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-027.pg',0,0,'en',0,0),(37951,1066,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-116.pg',0,0,'en',0,0),(37952,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-059.pg',0,0,'en',0,0),(37953,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-096.pg',0,0,'en',0,0),(37954,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-101.pg',0,0,'en',0,0),(37955,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-067.pg',0,0,'en',0,0),(37956,1042,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-082.pg',0,0,'en',0,0),(37957,1088,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-117.pg',0,0,'en',0,0),(37958,1025,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-009.pg',0,0,'en',0,0),(37959,1026,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-005.pg',0,0,'en',0,0),(37960,1066,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-114.pg',0,0,'en',0,0),(37961,1029,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-014.pg',0,0,'en',0,0),(37962,1129,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-014.pg',0,0,'en',0,0),(37963,1051,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-102.pg',0,0,'en',0,0),(37964,1030,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-026.pg',0,0,'en',0,0),(37965,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-063.pg',0,0,'en',0,0),(37966,1048,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-100.pg',0,0,'en',0,0),(37967,1055,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-110.pg',0,0,'en',0,0),(37968,1053,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-108.pg',0,0,'en',0,0),(37969,1066,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-112.pg',0,0,'en',0,0),(37970,1053,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-107.pg',0,0,'en',0,0),(37971,1025,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-007.pg',0,0,'en',0,0),(37972,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-057.pg',0,0,'en',0,0),(37973,1028,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-023.pg',0,0,'en',0,0),(37974,1128,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-023.pg',0,0,'en',0,0),(37975,1052,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-103.pg',0,0,'en',0,0),(37976,1030,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-018.pg',0,0,'en',0,0),(37977,1060,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-111.pg',0,0,'en',0,0),(37978,1043,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-084.pg',0,0,'en',0,0),(37979,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-049.pg',0,0,'en',0,0),(37980,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-091.pg',0,0,'en',0,0),(37981,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-055.pg',0,0,'en',0,0),(37982,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-060.pg',0,0,'en',0,0),(37983,1028,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-012.pg',0,0,'en',0,0),(37984,1128,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-012.pg',0,0,'en',0,0),(37985,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-064.pg',0,0,'en',0,0),(37986,1059,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-105.pg',0,0,'en',0,0),(37987,1029,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-028.pg',0,0,'en',0,0),(37988,1129,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-028.pg',0,0,'en',0,0),(37989,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-095.pg',0,0,'en',0,0),(37990,1028,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-011.pg',0,0,'en',0,0),(37991,1128,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-011.pg',0,0,'en',0,0),(37992,1089,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-119.pg',0,0,'en',0,0),(37993,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-097.pg',0,0,'en',0,0),(37994,1048,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-099.pg',0,0,'en',0,0),(37995,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-051.pg',0,0,'en',0,0),(37996,1036,0,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-046.pg',0,0,'en',0,0),(37997,1038,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-032.pg',0,0,'en',0,0),(37998,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-093.pg',0,0,'en',0,0),(37999,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-071.pg',0,0,'en',0,0),(38000,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-053.pg',0,0,'en',0,0),(38001,1053,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-106.pg',0,0,'en',0,0),(38002,1029,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-015.pg',0,0,'en',0,0),(38003,1129,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-015.pg',0,0,'en',0,0),(38004,1038,0,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-035.pg',0,0,'en',0,0),(38005,1025,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-004.pg',0,0,'en',0,0),(38006,1048,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-098.pg',0,0,'en',0,0),(38007,1066,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-113.pg',0,0,'en',0,0),(38008,1040,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-036.pg',0,0,'en',0,0),(38009,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-047.pg',0,0,'en',0,0),(38010,1055,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-104.pg',0,0,'en',0,0),(38011,1030,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-017.pg',0,0,'en',0,0),(38012,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-094.pg',0,0,'en',0,0),(38013,1032,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-022.pg',0,0,'en',0,0),(38014,1030,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-021.pg',0,0,'en',0,0),(38015,1088,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-118.pg',0,0,'en',0,0),(38016,1031,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-020.pg',0,0,'en',0,0),(38017,1038,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-034.pg',0,0,'en',0,0),(38018,1089,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-121.pg',0,0,'en',0,0),(38019,1050,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-092.pg',0,0,'en',0,0),(38020,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-045.pg',0,0,'en',0,0),(38021,1036,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-054.pg',0,0,'en',0,0),(38022,1037,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-069.pg',0,0,'en',0,0),(38023,1042,182,_binary 'University of British Columbia','Contrib',3015,'UBC-FLU-18-086.pg',0,0,'en',0,0),(38024,864,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-105.pg',0,0,'en',0,0),(38025,840,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-114.pg',0,0,'en',0,0),(38026,877,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-053.pg',0,0,'en',0,0),(38027,866,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-102.pg',0,0,'en',0,0),(38028,861,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-101.pg',0,0,'en',0,0),(38029,856,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-077.pg',0,0,'en',0,0),(38030,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-060.pg',0,5,'en',0,0),(38031,751,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-087.pg',0,3,'en',0,0),(38032,864,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-106.pg',0,0,'en',0,0),(38033,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-062.pg',0,0,'en',0,0),(38034,859,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-081.pg',0,0,'en',0,0),(38035,817,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-043.pg',0,0,'en',0,0),(38036,859,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-021.pg',0,3,'en',0,0),(38037,817,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-038.pg',0,0,'en',0,0),(38038,847,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-119.pg',0,5,'en',0,0),(38039,858,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-083.pg',0,0,'en',0,0),(38040,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-061.pg',0,0,'en',0,0),(38041,842,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-120.pg',0,0,'en',0,0),(38042,842,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-117.pg',0,0,'en',0,0),(38043,867,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-16-008.pg',0,0,'en',0,0),(38044,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-027.pg',0,0,'en',0,0),(38045,867,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-018.pg',0,3,'en',0,0),(38046,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-031.pg',0,0,'en',0,0),(38047,1014,42,_binary 'University of British 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Columbia','Contrib',276,'UBC-DYN-17-022.pg',0,0,'en',0,0),(38057,853,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-068.pg',0,0,'en',0,0),(38058,868,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-019.pg',0,3,'en',0,0),(38059,846,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-113.pg',0,0,'en',0,0),(38060,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-030.pg',0,0,'en',0,0),(38061,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-026.pg',0,0,'en',0,0),(38062,842,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-118.pg',0,0,'en',0,0),(38063,817,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-044.pg',0,0,'en',0,0),(38064,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-034.pg',0,0,'en',0,0),(38065,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-028.pg',0,0,'en',0,0),(38066,751,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-089.pg',0,0,'en',0,0),(38067,867,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-086.pg',0,0,'en',0,0),(38068,877,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-001.pg',0,3,'en',0,0),(38069,859,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-082.pg',0,0,'en',0,0),(38070,1014,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-023.pg',0,0,'en',0,0),(38071,784,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-076.pg',0,0,'en',0,0),(38072,877,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-051.pg',0,0,'en',0,0),(38073,845,42,_binary 'University of British Columbia','Contrib',276,'UBC-DYN-17-116.pg',0,4,'en',0,0),(38074,867,42,_binary 'University of British 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University','Contrib',3062,'ch2.sec1.q6.pg',0,2,'en',0,1),(38877,268,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q11.pg',0,2,'en',0,1),(38878,526,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q11.pg',0,2,'en',0,1),(38879,268,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q5.pg',0,2,'en',0,1),(38880,526,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q5.pg',0,2,'en',0,1),(38881,268,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q7and8.pg',0,2,'en',0,1),(38882,526,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q7and8.pg',0,2,'en',0,1),(38883,268,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q9.pg',0,2,'en',0,1),(38884,526,0,_binary 'Saint Louis University','Contrib',3062,'ch2.sec1.q9.pg',0,2,'en',0,1),(38885,49,55,_binary 'Valdosta State University','Contrib',525,'APEX_3.4_6-7.pg',0,0,'en',0,0),(38886,49,55,_binary 'Valdosta State 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University','Contrib',525,'APEX_3.4_13.pg',0,0,'en',0,0),(38897,49,55,_binary 'Valdosta State University','Contrib',525,'APEX_3.4_8-9.pg',0,0,'en',0,0),(38898,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_34.pg',0,0,'en',0,0),(38899,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_10.pg',0,0,'en',0,0),(38900,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_27.pg',0,0,'en',0,0),(38901,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_45.pg',0,0,'en',0,0),(38902,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_14-15.pg',0,0,'en',0,0),(38903,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_49.pg',0,0,'en',0,0),(38904,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_41-42.pg',0,0,'en',0,0),(38905,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_29.pg',0,0,'en',0,0),(38906,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_17.pg',0,0,'en',0,0),(38907,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_36.pg',0,0,'en',0,0),(38908,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_37.pg',0,0,'en',0,0),(38909,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_12.pg',0,0,'en',0,0),(38910,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_46-47.pg',0,0,'en',0,0),(38911,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_52.pg',0,0,'en',0,0),(38912,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_31.pg',0,0,'en',0,0),(38913,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_19-23.pg',0,0,'en',0,0),(38914,58,55,_binary 'Valdosta State University','Contrib',526,'APEX_6.7_9.pg',0,0,'en',0,0),(38915,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_14.pg',0,0,'en',0,0),(38916,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_8.pg',0,0,'en',0,0),(38917,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_6.pg',0,0,'en',0,0),(38918,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_7.pg',0,0,'en',0,0),(38919,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_4.pg',0,0,'en',0,0),(38920,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_11.pg',0,0,'en',0,0),(38921,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_12.pg',0,0,'en',0,0),(38922,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_10.pg',0,0,'en',0,0),(38923,59,55,_binary 'Valdosta State University','Contrib',527,'APEX_4.1_16.pg',0,0,'en',0,0),(38924,12,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_38.pg',0,0,'en',0,0),(38925,12,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_34.pg',0,0,'en',0,0),(38926,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_30.pg',0,0,'en',0,0),(38927,12,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_35.pg',0,0,'en',0,0),(38928,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_17.pg',0,0,'en',0,0),(38929,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_13.pg',0,0,'en',0,0),(38930,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_31.pg',0,0,'en',0,0),(38931,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_16.pg',0,0,'en',0,0),(38932,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_26.pg',0,0,'en',0,0),(38933,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_22.pg',0,0,'en',0,0),(38934,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_24.pg',0,0,'en',0,0),(38935,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_19.pg',0,0,'en',0,0),(38936,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_20.pg',0,0,'en',0,0),(38937,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_18.pg',0,0,'en',0,0),(38938,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_11-12.pg',0,0,'en',0,0),(38939,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_28-29.pg',0,0,'en',0,0),(38940,10,55,_binary 'Valdosta State University','Contrib',528,'APEX_1.5_15.pg',0,0,'en',0,0),(38941,35,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_7.pg',0,0,'en',0,0),(38942,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_12.pg',0,0,'en',0,0),(38943,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_13.pg',0,0,'en',0,0),(38944,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_14.pg',0,0,'en',0,0),(38945,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_9.pg',0,0,'en',0,0),(38946,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_16.pg',0,0,'en',0,0),(38947,30,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_33.pg',0,0,'en',0,0),(38948,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_31.pg',0,0,'en',0,0),(38949,40,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_25.pg',0,0,'en',0,0),(38950,30,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_17-18.pg',0,0,'en',0,0),(38951,29,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_23.pg',0,0,'en',0,0),(38952,35,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_30.pg',0,0,'en',0,0),(38953,29,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_19-22.pg',0,0,'en',0,0),(38954,35,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_10.pg',0,0,'en',0,0),(38955,36,55,_binary 'Valdosta State University','Contrib',529,'APEX_2.5_27.pg',0,0,'en',0,0),(38956,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_8.pg',0,0,'en',0,0),(38957,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_14.pg',0,0,'en',0,0),(38958,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_22.pg',0,0,'en',0,0),(38959,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_9.pg',0,0,'en',0,0),(38960,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_12.pg',0,0,'en',0,0),(38961,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_18.pg',0,0,'en',0,0),(38962,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_10.pg',0,0,'en',0,0),(38963,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_6.pg',0,0,'en',0,0),(38964,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_16.pg',0,0,'en',0,0),(38965,15,55,_binary 'Valdosta State University','Contrib',530,'APEX_1.1_19.pg',0,0,'en',0,0),(38966,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_13.pg',0,0,'en',0,0),(38967,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_8.pg',0,0,'en',0,0),(38968,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_3.pg',0,0,'en',0,0),(38969,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_4.pg',0,0,'en',0,0),(38970,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_6.pg',0,0,'en',0,0),(38971,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_10.pg',0,0,'en',0,0),(38972,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_7.pg',0,0,'en',0,0),(38973,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_11.pg',0,0,'en',0,0),(38974,52,55,_binary 'Valdosta State University','Contrib',531,'APEX_4.3_17.pg',0,0,'en',0,0),(38975,7,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_23.pg',0,0,'en',0,0),(38976,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_22.pg',0,0,'en',0,0),(38977,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_16.pg',0,0,'en',0,0),(38978,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_19.pg',0,0,'en',0,0),(38979,8,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_36.pg',0,0,'en',0,0),(38980,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_18.pg',0,0,'en',0,0),(38981,4,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_30.pg',0,0,'en',0,0),(38982,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_26.pg',0,0,'en',0,0),(38983,4,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_28.pg',0,0,'en',0,0),(38984,7,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_38.pg',0,0,'en',0,0),(38985,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_8.pg',0,0,'en',0,0),(38986,8,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_34.pg',0,0,'en',0,0),(38987,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_6-13.pg',0,0,'en',0,0),(38988,3,55,_binary 'Valdosta State University','Contrib',532,'APEX_1.3_21.pg',0,0,'en',0,0),(38989,32,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_27.pg',0,0,'en',0,0),(38990,32,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_29.pg',0,0,'en',0,0),(38991,31,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_5.pg',0,0,'en',0,0),(38992,32,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_22.pg',0,0,'en',0,0),(38993,32,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_18-19.pg',0,0,'en',0,0),(38994,32,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_24.pg',0,0,'en',0,0),(38995,31,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_11.pg',0,0,'en',0,0),(38996,31,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_14.pg',0,0,'en',0,0),(38997,31,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_8.pg',0,0,'en',0,0),(38998,32,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_15-17.pg',0,0,'en',0,0),(38999,31,55,_binary 'Valdosta State University','Contrib',533,'APEX_2.7_10.pg',0,0,'en',0,0),(39000,64,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_19-21.pg',0,0,'en',0,0),(39001,62,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_38.pg',0,0,'en',0,0),(39002,64,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_22-23.pg',0,0,'en',0,0),(39003,63,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_36.pg',0,0,'en',0,0),(39004,65,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_16-18.pg',0,0,'en',0,0),(39005,64,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_8-10.pg',0,0,'en',0,0),(39006,64,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_13-15.pg',0,0,'en',0,0),(39007,62,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_32.pg',0,0,'en',0,0),(39008,64,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_26.pg',0,0,'en',0,0),(39009,64,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_11-12.pg',0,0,'en',0,0),(39010,63,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_28.pg',0,0,'en',0,0),(39011,62,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_34.pg',0,0,'en',0,0),(39012,62,55,_binary 'Valdosta State University','Contrib',534,'APEX_5.1_30.pg',0,0,'en',0,0),(39013,13,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_9.pg',0,0,'en',0,0),(39014,13,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_10.pg',0,0,'en',0,0),(39015,14,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_26.pg',0,0,'en',0,0),(39016,14,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_11.pg',0,0,'en',0,0),(39017,14,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_14.pg',0,0,'en',0,0),(39018,14,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_12.pg',0,0,'en',0,0),(39019,14,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_16.pg',0,0,'en',0,0),(39020,14,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_28.pg',0,0,'en',0,0),(39021,18,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_24.pg',0,0,'en',0,0),(39022,18,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_20.pg',0,0,'en',0,0),(39023,18,55,_binary 'Valdosta State University','Contrib',535,'APEX_1.6_22.pg',0,0,'en',0,0),(39024,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_3.pg',0,0,'en',0,0),(39025,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_11.pg',0,0,'en',0,0),(39026,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_9.pg',0,0,'en',0,0),(39027,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_12.pg',0,0,'en',0,0),(39028,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_8.pg',0,0,'en',0,0),(39029,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_4.pg',0,0,'en',0,0),(39030,57,55,_binary 'Valdosta State University','Contrib',536,'APEX_4.2_6.pg',0,0,'en',0,0),(39031,22,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_30.pg',0,0,'en',0,0),(39032,22,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_26.pg',0,0,'en',0,0),(39033,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_10.pg',0,0,'en',0,0),(39034,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_8.pg',0,0,'en',0,0),(39035,22,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_24.pg',0,0,'en',0,0),(39036,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_22.pg',0,0,'en',0,0),(39037,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_18.pg',0,0,'en',0,0),(39038,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_6.pg',0,0,'en',0,0),(39039,22,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_28.pg',0,0,'en',0,0),(39040,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_16.pg',0,0,'en',0,0),(39041,21,55,_binary 'Valdosta State University','Contrib',537,'APEX_2.1_12.pg',0,0,'en',0,0),(39042,23,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_10.pg',0,0,'en',0,0),(39043,41,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_36.pg',0,0,'en',0,0),(39044,41,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_41.pg',0,0,'en',0,0),(39045,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_22.pg',0,0,'en',0,0),(39046,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_28.pg',0,0,'en',0,0),(39047,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_32.pg',0,0,'en',0,0),(39048,41,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_38.pg',0,0,'en',0,0),(39049,35,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_7.pg',0,0,'en',0,0),(39050,23,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_5.pg',0,0,'en',0,0),(39051,23,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_6.pg',0,0,'en',0,0),(39052,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_20.pg',0,0,'en',0,0),(39053,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_19.pg',0,0,'en',0,0),(39054,40,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_12.pg',0,0,'en',0,0),(39055,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_16-17.pg',0,0,'en',0,0),(39056,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_13.pg',0,0,'en',0,0),(39057,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_30.pg',0,0,'en',0,0),(39058,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_34.pg',0,0,'en',0,0),(39059,42,55,_binary 'Valdosta State University','Contrib',538,'APEX_2.6_15.pg',0,0,'en',0,0),(39060,69,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_53.pg',0,0,'en',0,0),(39061,68,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_13.pg',0,0,'en',0,0),(39062,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_15-17.pg',0,0,'en',0,0),(39063,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_11.pg',0,0,'en',0,0),(39064,68,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_34.pg',0,0,'en',0,0),(39065,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_33.pg',0,0,'en',0,0),(39066,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_30.pg',0,0,'en',0,0),(39067,93,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_47.pg',0,0,'en',0,0),(39068,69,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_56.pg',0,0,'en',0,0),(39069,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_36-38.pg',0,0,'en',0,0),(39070,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_25-27.pg',0,0,'en',0,0),(39071,93,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_40.pg',0,0,'en',0,0),(39072,85,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_52.pg',0,0,'en',0,0),(39073,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_5-7.pg',0,0,'en',0,0),(39074,85,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_50.pg',0,0,'en',0,0),(39075,67,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_18-24.pg',0,0,'en',0,0),(39076,68,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_8-9.pg',0,0,'en',0,0),(39077,93,55,_binary 'Valdosta State University','Contrib',540,'APEX_5.4_44.pg',0,0,'en',0,0),(39078,22,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_15.pg',0,0,'en',0,0),(39079,47,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_12.pg',0,0,'en',0,0),(39080,56,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_8.pg',0,0,'en',0,0),(39081,22,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_17.pg',0,0,'en',0,0),(39082,56,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_4.pg',0,0,'en',0,0),(39083,56,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_9.pg',0,0,'en',0,0),(39084,22,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_18.pg',0,0,'en',0,0),(39085,22,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_16.pg',0,0,'en',0,0),(39086,56,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_5.pg',0,0,'en',0,0),(39087,47,55,_binary 'Valdosta State University','Contrib',541,'APEX_2.2_14.pg',0,0,'en',0,0),(39088,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_56-57.pg',0,0,'en',0,0),(39089,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_14.pg',0,0,'en',0,0),(39090,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_12.pg',0,0,'en',0,0),(39091,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_32-34.pg',0,0,'en',0,0),(39092,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_54.pg',0,0,'en',0,0),(39093,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_30.pg',0,0,'en',0,0),(39094,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_78.pg',0,0,'en',0,0),(39095,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_3-6.pg',0,0,'en',0,0),(39096,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_76.pg',0,0,'en',0,0),(39097,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_55.pg',0,0,'en',0,0),(39098,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_18.pg',0,0,'en',0,0),(39099,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_15.pg',0,0,'en',0,0),(39100,81,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_36.pg',0,0,'en',0,0),(39101,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_51.pg',0,0,'en',0,0),(39102,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_24.pg',0,0,'en',0,0),(39103,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_20.pg',0,0,'en',0,0),(39104,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_8.pg',0,0,'en',0,0),(39105,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_59.pg',0,0,'en',0,0),(39106,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_80.pg',0,0,'en',0,0),(39107,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_79.pg',0,0,'en',0,0),(39108,72,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_16-17.pg',0,0,'en',0,0),(39109,71,55,_binary 'Valdosta State University','Contrib',542,'APEX_6.1_25-26.pg',0,0,'en',0,0),(39110,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_13.pg',0,0,'en',0,0),(39111,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_6.pg',0,0,'en',0,0),(39112,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_20.pg',0,0,'en',0,0),(39113,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_10.pg',0,0,'en',0,0),(39114,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_19.pg',0,0,'en',0,0),(39115,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_7.pg',0,0,'en',0,0),(39116,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_15.pg',0,0,'en',0,0),(39117,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_8.pg',0,0,'en',0,0),(39118,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_22.pg',0,0,'en',0,0),(39119,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_16.pg',0,0,'en',0,0),(39120,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_23.pg',0,0,'en',0,0),(39121,50,55,_binary 'Valdosta State University','Contrib',543,'APEX_3.1_12.pg',0,0,'en',0,0),(39122,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_15.pg',0,0,'en',0,0),(39123,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_8.pg',0,0,'en',0,0),(39124,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_18.pg',0,0,'en',0,0),(39125,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_6.pg',0,0,'en',0,0),(39126,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_23.pg',0,0,'en',0,0),(39127,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_22.pg',0,0,'en',0,0),(39128,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_7.pg',0,0,'en',0,0),(39129,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_10.pg',0,0,'en',0,0),(39130,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_13.pg',0,0,'en',0,0),(39131,48,55,_binary 'Valdosta State University','Contrib',544,'APEX_3.3_20.pg',0,0,'en',0,0),(39132,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_11.pg',0,0,'en',0,0),(39133,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_15.pg',0,0,'en',0,0),(39134,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_10.pg',0,0,'en',0,0),(39135,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_16-17.pg',0,0,'en',0,0),(39136,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_9.pg',0,0,'en',0,0),(39137,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_6.pg',0,0,'en',0,0),(39138,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_18-21.pg',0,0,'en',0,0),(39139,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_13.pg',0,0,'en',0,0),(39140,61,55,_binary 'Valdosta State University','Contrib',545,'APEX_5.2_5.pg',0,0,'en',0,0),(39141,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_12.pg',0,0,'en',0,0),(39142,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_26.pg',0,0,'en',0,0),(39143,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_36.pg',0,0,'en',0,0),(39144,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_34.pg',0,0,'en',0,0),(39145,37,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_27.pg',0,0,'en',0,0),(39146,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_21.pg',0,0,'en',0,0),(39147,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_14.pg',0,0,'en',0,0),(39148,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_17.pg',0,0,'en',0,0),(39149,37,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_29.pg',0,0,'en',0,0),(39150,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_22.pg',0,0,'en',0,0),(39151,37,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_28.pg',0,0,'en',0,0),(39152,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_15.pg',0,0,'en',0,0),(39153,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_18.pg',0,0,'en',0,0),(39154,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_20.pg',0,0,'en',0,0),(39155,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_38.pg',0,0,'en',0,0),(39156,38,55,_binary 'Valdosta State University','Contrib',546,'APEX_2.3_16.pg',0,0,'en',0,0),(39157,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_20.pg',0,0,'en',0,0),(39158,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_24.pg',0,0,'en',0,0),(39159,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_29.pg',0,0,'en',0,0),(39160,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_21.pg',0,0,'en',0,0),(39161,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_26.pg',0,0,'en',0,0),(39162,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_16.pg',0,0,'en',0,0),(39163,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_7.pg',0,0,'en',0,0),(39164,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_28.pg',0,0,'en',0,0),(39165,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_13.pg',0,0,'en',0,0),(39166,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_11.pg',0,0,'en',0,0),(39167,51,55,_binary 'Valdosta State University','Contrib',547,'APEX_3.5_9.pg',0,0,'en',0,0),(39168,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_21.pg',0,0,'en',0,0),(39169,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_13.pg',0,0,'en',0,0),(39170,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_18.pg',0,0,'en',0,0),(39171,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_5-6.pg',0,0,'en',0,0),(39172,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_20.pg',0,0,'en',0,0),(39173,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_10.pg',0,0,'en',0,0),(39174,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_15.pg',0,0,'en',0,0),(39175,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_14.pg',0,0,'en',0,0),(39176,9,55,_binary 'Valdosta State University','Contrib',548,'APEX_1.4_12.pg',0,0,'en',0,0),(39177,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_18.pg',0,0,'en',0,0),(39178,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_24.pg',0,0,'en',0,0),(39179,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_20.pg',0,0,'en',0,0),(39180,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_17.pg',0,0,'en',0,0),(39181,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_8.pg',0,0,'en',0,0),(39182,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_12.pg',0,0,'en',0,0),(39183,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_14.pg',0,0,'en',0,0),(39184,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_11.pg',0,0,'en',0,0),(39185,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_4.pg',0,0,'en',0,0),(39186,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_23.pg',0,0,'en',0,0),(39187,83,55,_binary 'Valdosta State University','Contrib',549,'APEX_5.5_6.pg',0,0,'en',0,0),(39188,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_21.pg',0,0,'en',0,0),(39189,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_23.pg',0,0,'en',0,0),(39190,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_10-13.pg',0,0,'en',0,0),(39191,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_20.pg',0,0,'en',0,0),(39192,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_15.pg',0,0,'en',0,0),(39193,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_26.pg',0,0,'en',0,0),(39194,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_6-9.pg',0,0,'en',0,0),(39195,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_28.pg',0,0,'en',0,0),(39196,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_34.pg',0,0,'en',0,0),(39197,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_30.pg',0,0,'en',0,0),(39198,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_31.pg',0,0,'en',0,0),(39199,56,55,_binary 'Valdosta State University','Contrib',550,'APEX_4.4_18.pg',0,0,'en',0,0),(39200,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_16.pg',0,0,'en',0,0),(39201,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_10.pg',0,0,'en',0,0),(39202,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_18.pg',0,0,'en',0,0),(39203,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_6.pg',0,0,'en',0,0),(39204,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_12.pg',0,0,'en',0,0),(39205,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_20.pg',0,0,'en',0,0),(39206,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_8.pg',0,0,'en',0,0),(39207,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_13.pg',0,0,'en',0,0),(39208,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_3-4.pg',0,0,'en',0,0),(39209,43,55,_binary 'Valdosta State University','Contrib',551,'APEX_3.2_15.pg',0,0,'en',0,0),(39210,25,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_28.pg',0,0,'en',0,0),(39211,22,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_43.pg',0,0,'en',0,0),(39212,28,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_40.pg',0,0,'en',0,0),(39213,26,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_32.pg',0,0,'en',0,0),(39214,24,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_10.pg',0,0,'en',0,0),(39215,24,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_30.pg',0,0,'en',0,0),(39216,27,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_18.pg',0,0,'en',0,0),(39217,25,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_16.pg',0,0,'en',0,0),(39218,24,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_8.pg',0,0,'en',0,0),(39219,26,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_12.pg',0,0,'en',0,0),(39220,23,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_41.pg',0,0,'en',0,0),(39221,25,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_26.pg',0,0,'en',0,0),(39222,27,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_24.pg',0,0,'en',0,0),(39223,26,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_14.pg',0,0,'en',0,0),(39224,22,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_44.pg',0,0,'en',0,0),(39225,25,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_15.pg',0,0,'en',0,0),(39226,23,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_34.pg',0,0,'en',0,0),(39227,22,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_42.pg',0,0,'en',0,0),(39228,26,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_36.pg',0,0,'en',0,0),(39229,39,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_22.pg',0,0,'en',0,0),(39230,25,55,_binary 'Valdosta State University','Contrib',552,'APEX_2.4_38-39.pg',0,0,'en',0,0),(39231,66,55,_binary 'Valdosta State University','Contrib',553,'APEX_5.3_17.pg',0,0,'en',0,0),(39232,66,55,_binary 'Valdosta State University','Contrib',553,'APEX_5.3_13.pg',0,0,'en',0,0),(39233,66,55,_binary 'Valdosta State University','Contrib',553,'APEX_5.3_14.pg',0,0,'en',0,0),(39234,66,55,_binary 'Valdosta State University','Contrib',553,'APEX_5.3_27.pg',0,0,'en',0,0),(39235,66,55,_binary 'Valdosta State University','Contrib',553,'APEX_5.3_34.pg',0,0,'en',0,0),(39236,66,55,_binary 'Valdosta State 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College','Contrib',3081,'OpenStax_IA_7.3_151.pg',0,0,'en',0,1),(39413,252,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_153.pg',0,0,'en',0,1),(39414,510,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_153.pg',0,0,'en',0,1),(39415,252,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_161.pg',0,0,'en',0,1),(39416,510,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_161.pg',0,0,'en',0,1),(39417,252,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_159.pg',0,0,'en',0,1),(39418,510,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_159.pg',0,0,'en',0,1),(39419,252,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_155.pg',0,0,'en',0,1),(39420,510,191,_binary 'Red Rocks Community College','Contrib',3081,'OpenStax_IA_7.3_155.pg',0,0,'en',0,1),(39421,203,143,_binary 'PCC','Contrib',3082,'OpenStax_IA_6.3_200.pg',2976,2,'en',0,1),(39422,203,143,_binary 'PCC','Contrib',3082,'OpenStax_IA_6.3_204.pg',2976,2,'en',0,1),(39423,203,143,_binary 'PCC','Contrib',3082,'OpenStax_IA_6.3_206.pg',2976,2,'en',0,1),(39424,201,143,_binary 'PCC','Contrib',3083,'OpenStax_IA_6.1_55.pg',2964,2,'en',0,1),(39425,1526,191,_binary 'Red Rocks Community College','Contrib',3083,'OpenStax_IA_6.1_23.pg',0,0,'en',0,0),(39426,201,143,_binary 'PCC','Contrib',3083,'OpenStax_IA_6.1_53.pg',2964,2,'en',0,1),(39427,1526,191,_binary 'Red Rocks Community College','Contrib',3083,'OpenStax_IA_6.1_25.pg',0,0,'en',0,0),(39428,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_307.pg',0,0,'en',0,1),(39429,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_307.pg',0,0,'en',0,1),(39430,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_317.pg',0,0,'en',0,1),(39431,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_317.pg',0,0,'en',0,1),(39432,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_329.pg',0,0,'en',0,1),(39433,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_329.pg',0,0,'en',0,1),(39434,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_283.pg',0,0,'en',0,1),(39435,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_283.pg',0,0,'en',0,1),(39436,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_308.pg',0,0,'en',0,1),(39437,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_308.pg',0,0,'en',0,1),(39438,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_297.pg',0,0,'en',0,1),(39439,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_297.pg',0,0,'en',0,1),(39440,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_333.pg',0,0,'en',0,1),(39441,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_333.pg',0,0,'en',0,1),(39442,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_285.pg',0,0,'en',0,1),(39443,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_285.pg',0,0,'en',0,1),(39444,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_296.pg',0,0,'en',0,1),(39445,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_296.pg',0,0,'en',0,1),(39446,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_313.pg',0,0,'en',0,1),(39447,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_313.pg',0,0,'en',0,1),(39448,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_295.pg',0,0,'en',0,1),(39449,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_295.pg',0,0,'en',0,1),(39450,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_289.pg',0,0,'en',0,1),(39451,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3084,'OpenStax_IA_6.5_289.pg',0,0,'en',0,1),(39452,242,191,_binary 'Red Rocks Community College','Contrib',3085,'OpenStax_IA_9.4_157.pg',0,0,'en',0,0),(39453,500,191,_binary 'Red Rocks Community College','Contrib',3085,'OpenStax_IA_9.4_157.pg',0,0,'en',0,0),(39454,242,191,_binary 'Red Rocks Community College','Contrib',3085,'OpenStax_IA_9.4_159.pg',0,0,'en',0,0),(39455,500,191,_binary 'Red Rocks Community College','Contrib',3085,'OpenStax_IA_9.4_159.pg',0,0,'en',0,0),(39456,242,191,_binary 'Red Rocks Community College','Contrib',3085,'OpenStax_IA_9.4_155.pg',0,0,'en',0,0),(39457,500,191,_binary 'Red Rocks Community College','Contrib',3085,'OpenStax_IA_9.4_155.pg',0,0,'en',0,0),(39458,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_154.pg',0,0,'en',0,1),(39459,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_154.pg',0,0,'en',0,1),(39460,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_85.pg',0,0,'en',0,1),(39461,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_85.pg',0,0,'en',0,1),(39462,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_95.pg',0,0,'en',0,1),(39463,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_95.pg',0,0,'en',0,1),(39464,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_116.pg',0,0,'en',0,1),(39465,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_116.pg',0,0,'en',0,1),(39466,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_92.pg',0,0,'en',0,1),(39467,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_92.pg',0,0,'en',0,1),(39468,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_120.pg',0,0,'en',0,1),(39469,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_120.pg',0,0,'en',0,1),(39470,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_81.pg',0,0,'en',0,1),(39471,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_81.pg',0,0,'en',0,1),(39472,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_126.pg',0,0,'en',0,1),(39473,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_126.pg',0,0,'en',0,1),(39474,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_132.pg',0,0,'en',0,1),(39475,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_132.pg',0,0,'en',0,1),(39476,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_86.pg',0,0,'en',0,1),(39477,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_86.pg',0,0,'en',0,1),(39478,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_109.pg',0,0,'en',0,1),(39479,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_109.pg',0,0,'en',0,1),(39480,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_136.pg',0,0,'en',0,1),(39481,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_136.pg',0,0,'en',0,1),(39482,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_150.pg',0,0,'en',0,1),(39483,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.3_150.pg',0,0,'en',0,1),(39484,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_112.pg',0,0,'en',0,1),(39485,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_112.pg',0,0,'en',0,1),(39486,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_88.pg',0,0,'en',0,1),(39487,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_88.pg',0,0,'en',0,1),(39488,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_73.pg',0,0,'en',0,1),(39489,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3086,'OpenStax_IA_4.2_73.pg',0,0,'en',0,1),(39490,1527,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3087,'OpenStax_IA_8.8_413.pg',0,0,'en',0,1),(39491,1527,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3087,'OpenStax_IA_8.8_411.pg',0,0,'en',0,1),(39492,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_5.pg',0,0,'en',0,1),(39493,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_5.pg',0,0,'en',0,1),(39494,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_2.pg',0,0,'en',0,1),(39495,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_2.pg',0,0,'en',0,1),(39496,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_1.pg',0,0,'en',0,1),(39497,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_1.pg',0,0,'en',0,1),(39498,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_7.pg',0,0,'en',0,1),(39499,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_7.pg',0,0,'en',0,1),(39500,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_6.pg',0,0,'en',0,1),(39501,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_6.pg',0,0,'en',0,1),(39502,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_4.pg',0,0,'en',0,1),(39503,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_4.pg',0,0,'en',0,1),(39504,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_3.pg',0,0,'en',0,1),(39505,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3088,'OpenStax_IA_9.2_CompleteSq_3.pg',0,0,'en',0,1),(39506,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_Add.pg',0,0,'en',0,1),(39507,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_Add.pg',0,0,'en',0,1),(39508,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_115.pg',0,0,'en',0,1),(39509,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_115.pg',0,0,'en',0,1),(39510,252,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_99.pg',0,0,'en',0,1),(39511,510,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_99.pg',0,0,'en',0,1),(39512,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_117.pg',0,0,'en',0,1),(39513,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_117.pg',0,0,'en',0,1),(39514,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_133.pg',0,0,'en',0,1),(39515,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_133.pg',0,0,'en',0,1),(39516,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_131.pg',0,0,'en',0,1),(39517,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_131.pg',0,0,'en',0,1),(39518,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_137.pg',0,0,'en',0,1),(39519,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_137.pg',0,0,'en',0,1),(39520,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_83.pg',0,0,'en',0,1),(39521,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_83.pg',0,0,'en',0,1),(39522,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_91.pg',0,0,'en',0,1),(39523,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_91.pg',0,0,'en',0,1),(39524,252,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_105.pg',0,0,'en',0,1),(39525,510,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_105.pg',0,0,'en',0,1),(39526,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_119.pg',0,0,'en',0,1),(39527,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_119.pg',0,0,'en',0,1),(39528,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_136.pg',0,0,'en',0,1),(39529,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_136.pg',0,0,'en',0,1),(39530,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_87.pg',0,0,'en',0,1),(39531,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_87.pg',0,0,'en',0,1),(39532,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_79.pg',0,0,'en',0,1),(39533,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_79.pg',0,0,'en',0,1),(39534,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_77.pg',0,0,'en',0,1),(39535,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_77.pg',0,0,'en',0,1),(39536,251,192,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_111.pg',0,0,'en',0,1),(39537,509,192,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_111.pg',0,0,'en',0,1),(39538,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_121.pg',0,0,'en',0,1),(39539,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_121.pg',0,0,'en',0,1),(39540,251,192,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_109.pg',0,0,'en',0,1),(39541,509,192,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_109.pg',0,0,'en',0,1),(39542,252,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_LCD.pg',0,0,'en',0,1),(39543,510,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_LCD.pg',0,0,'en',0,1),(39544,251,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_107.pg',0,0,'en',0,1),(39545,509,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_107.pg',0,0,'en',0,1),(39546,252,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_101.pg',0,0,'en',0,1),(39547,510,191,_binary 'Red Rocks Community College','Contrib',3089,'OpenStax_IA_7.2_101.pg',0,0,'en',0,1),(39548,237,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_2.pg',0,0,'en',0,1),(39549,495,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_2.pg',0,0,'en',0,1),(39550,234,191,_binary 'Red Rocks Community College','Contrib',3090,'Intercepts_2.pg',0,0,'en',0,1),(39551,492,191,_binary 'Red Rocks Community College','Contrib',3090,'Intercepts_2.pg',0,0,'en',0,1),(39552,237,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_1.pg',0,0,'en',0,1),(39553,495,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_1.pg',0,0,'en',0,1),(39554,228,191,_binary 'Red Rocks Community College','Contrib',3090,'Parallel_Perp_1.pg',0,0,'en',0,1),(39555,486,191,_binary 'Red Rocks Community College','Contrib',3090,'Parallel_Perp_1.pg',0,0,'en',0,1),(39556,227,191,_binary 'Red Rocks Community College','Contrib',3090,'Slope_3.pg',0,0,'en',0,1),(39557,485,191,_binary 'Red Rocks Community College','Contrib',3090,'Slope_3.pg',0,0,'en',0,1),(39558,232,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Equation_of_Lines_6.pg',0,0,'en',0,1),(39559,490,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Equation_of_Lines_6.pg',0,0,'en',0,1),(39560,229,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_8.pg',0,0,'en',0,1),(39561,487,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_8.pg',0,0,'en',0,1),(39562,234,191,_binary 'Red Rocks Community College','Contrib',3090,'Solution_Check_1.pg',0,0,'en',0,1),(39563,492,191,_binary 'Red Rocks Community College','Contrib',3090,'Solution_Check_1.pg',0,0,'en',0,1),(39564,237,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_4.pg',0,0,'en',0,1),(39565,495,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_4.pg',0,0,'en',0,1),(39566,237,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_3.pg',0,0,'en',0,1),(39567,495,191,_binary 'Red Rocks Community College','Contrib',3090,'Application_3.pg',0,0,'en',0,1),(39568,234,191,_binary 'Red Rocks Community College','Contrib',3090,'Intercepts_1.pg',0,0,'en',0,1),(39569,492,191,_binary 'Red Rocks Community College','Contrib',3090,'Intercepts_1.pg',0,0,'en',0,1),(39570,232,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_7.pg',0,0,'en',0,1),(39571,490,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_7.pg',0,0,'en',0,1),(39572,227,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Slope_1.pg',0,0,'en',0,1),(39573,485,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Slope_1.pg',0,0,'en',0,1),(39574,232,191,_binary 'Red Rocks Community College','Contrib',3090,'Table_of_Values_1.pg',0,0,'en',0,1),(39575,490,191,_binary 'Red Rocks Community College','Contrib',3090,'Table_of_Values_1.pg',0,0,'en',0,1),(39576,228,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_5.pg',0,0,'en',0,1),(39577,486,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_5.pg',0,0,'en',0,1),(39578,228,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_4.pg',0,0,'en',0,1),(39579,486,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_4.pg',0,0,'en',0,1),(39580,232,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Equation_of_Lines_1.pg',0,0,'en',0,1),(39581,490,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Equation_of_Lines_1.pg',0,0,'en',0,1),(39582,227,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Slope_2.pg',0,0,'en',0,1),(39583,485,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3090,'Slope_2.pg',0,0,'en',0,1),(39584,229,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_2.pg',0,0,'en',0,1),(39585,487,191,_binary 'Red Rocks Community College','Contrib',3090,'Equation_of_Lines_2.pg',0,0,'en',0,1),(39586,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_330.pg',0,0,'en',0,1),(39587,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_330.pg',0,0,'en',0,1),(39588,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_Functions1.pg',0,0,'en',0,1),(39589,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_Functions1.pg',0,0,'en',0,1),(39590,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_331.pg',0,0,'en',0,1),(39591,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_331.pg',0,0,'en',0,1),(39592,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_Functions2.pg',0,0,'en',0,1),(39593,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3091,'OpenStax_IA_3.5_Functions2.pg',0,0,'en',0,1),(39594,203,191,_binary 'Red Rocks Community College','Contrib',3092,'OpenStax_IA_6.4_263.pg',0,0,'en',0,0),(39595,203,194,_binary 'Red Rocks Community College','Contrib',3092,'OpenStax_IA_6.4_260.pg',0,0,'en',0,0),(39596,203,194,_binary 'Red Rocks Community College','Contrib',3092,'OpenStax_IA_6.4_249.pg',0,0,'en',0,0),(39597,203,194,_binary 'Red Rocks Community College','Contrib',3092,'OpenStax_IA_6.4_242.pg',0,0,'en',0,0),(39598,203,194,_binary 'Red Rocks Community College','Contrib',3092,'OpenStax_IA_6.4_235.pg',0,0,'en',0,0),(39599,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_8.pg',0,0,'en',0,1),(39600,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_8.pg',0,0,'en',0,1),(39601,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_6.pg',0,0,'en',0,1),(39602,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_6.pg',0,0,'en',0,1),(39603,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_3.pg',0,0,'en',0,1),(39604,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_3.pg',0,0,'en',0,1),(39605,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_7.pg',0,0,'en',0,1),(39606,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_7.pg',0,0,'en',0,1),(39607,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_4.pg',0,0,'en',0,1),(39608,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_4.pg',0,0,'en',0,1),(39609,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_1.pg',0,0,'en',0,1),(39610,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_1.pg',0,0,'en',0,1),(39611,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_5.pg',0,0,'en',0,1),(39612,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_5.pg',0,0,'en',0,1),(39613,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_9.pg',0,0,'en',0,1),(39614,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_9.pg',0,0,'en',0,1),(39615,276,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_2.pg',0,0,'en',0,1),(39616,534,195,_binary 'Red Rocks Community College','Contrib',3093,'Rational_Equations_2.pg',0,0,'en',0,1),(39617,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_309.pg',0,0,'en',0,1),(39618,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_309.pg',0,0,'en',0,1),(39619,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_311.pg',0,0,'en',0,1),(39620,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_311.pg',0,0,'en',0,1),(39621,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_285.pg',0,0,'en',0,1),(39622,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_285.pg',0,0,'en',0,1),(39623,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_312.pg',0,0,'en',0,1),(39624,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_312.pg',0,0,'en',0,1),(39625,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_287.pg',0,0,'en',0,1),(39626,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_287.pg',0,0,'en',0,1),(39627,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_306.pg',0,0,'en',0,1),(39628,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_306.pg',0,0,'en',0,1),(39629,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_298.pg',0,0,'en',0,1),(39630,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3094,'OpenStax_IA_7.5_298.pg',0,0,'en',0,1),(39631,242,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3095,'OpenStax_IA_9.1_11.pg',0,0,'en',0,1),(39632,500,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3095,'OpenStax_IA_9.1_11.pg',0,0,'en',0,1),(39633,242,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_9.pg',0,0,'en',0,1),(39634,500,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_9.pg',0,0,'en',0,1),(39635,242,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_27.pg',0,0,'en',0,1),(39636,500,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_27.pg',0,0,'en',0,1),(39637,242,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3095,'OpenStax_IA_9.1_35.pg',0,0,'en',0,1),(39638,500,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3095,'OpenStax_IA_9.1_35.pg',0,0,'en',0,1),(39639,242,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_31.pg',0,0,'en',0,1),(39640,500,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_31.pg',0,0,'en',0,1),(39641,242,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3095,'OpenStax_IA_9.1_15.pg',0,0,'en',0,1),(39642,500,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3095,'OpenStax_IA_9.1_15.pg',0,0,'en',0,1),(39643,242,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_33.pg',0,0,'en',0,1),(39644,500,191,_binary 'Red Rocks Community College','Contrib',3095,'OpenStax_IA_9.1_33.pg',0,0,'en',0,1),(39645,249,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_304.pg',0,0,'en',0,1),(39646,507,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_304.pg',0,0,'en',0,1),(39647,249,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_314.pg',0,0,'en',0,1),(39648,507,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_314.pg',0,0,'en',0,1),(39649,249,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_307.pg',0,0,'en',0,1),(39650,507,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_307.pg',0,0,'en',0,1),(39651,249,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_311.pg',0,0,'en',0,1),(39652,507,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3096,'OpenStax_IA_5.4_311.pg',0,0,'en',0,1),(39653,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_divide.pg',0,0,'en',0,1),(39654,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_divide.pg',0,0,'en',0,1),(39655,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_21.pg',0,0,'en',0,1),(39656,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_21.pg',0,0,'en',0,1),(39657,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_39.pg',0,0,'en',0,1),(39658,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_39.pg',0,0,'en',0,1),(39659,250,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_53.pg',0,0,'en',0,1),(39660,508,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_53.pg',0,0,'en',0,1),(39661,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_37.pg',0,0,'en',0,1),(39662,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_37.pg',0,0,'en',0,1),(39663,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_17.pg',0,0,'en',0,1),(39664,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_17.pg',0,0,'en',0,1),(39665,250,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_49.pg',0,0,'en',0,1),(39666,508,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_49.pg',0,0,'en',0,1),(39667,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_23.pg',0,0,'en',0,1),(39668,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_23.pg',0,0,'en',0,1),(39669,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_32.pg',0,0,'en',0,1),(39670,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_32.pg',0,0,'en',0,1),(39671,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_11.pg',0,0,'en',0,1),(39672,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_11.pg',0,0,'en',0,1),(39673,277,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3097,'OpenStax_IA_7.1_domain2.pg',0,0,'en',0,1),(39674,535,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3097,'OpenStax_IA_7.1_domain2.pg',0,0,'en',0,1),(39675,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_15.pg',0,0,'en',0,1),(39676,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_15.pg',0,0,'en',0,1),(39677,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_43.pg',0,0,'en',0,1),(39678,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_43.pg',0,0,'en',0,1),(39679,277,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3097,'OpenStax_IA_7.1_domain.pg',0,0,'en',0,1),(39680,535,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3097,'OpenStax_IA_7.1_domain.pg',0,0,'en',0,1),(39681,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_33.pg',0,0,'en',0,1),(39682,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_33.pg',0,0,'en',0,1),(39683,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_13.pg',0,0,'en',0,1),(39684,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_13.pg',0,0,'en',0,1),(39685,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_27.pg',0,0,'en',0,1),(39686,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_27.pg',0,0,'en',0,1),(39687,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_9.pg',0,0,'en',0,1),(39688,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_9.pg',0,0,'en',0,1),(39689,250,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_47.pg',0,0,'en',0,1),(39690,508,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_47.pg',0,0,'en',0,1),(39691,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_31.pg',0,0,'en',0,1),(39692,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_31.pg',0,0,'en',0,1),(39693,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_7.pg',0,0,'en',0,1),(39694,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_7.pg',0,0,'en',0,1),(39695,252,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_35.pg',0,0,'en',0,1),(39696,510,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_35.pg',0,0,'en',0,1),(39697,250,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_45.pg',0,0,'en',0,1),(39698,508,191,_binary 'Red Rocks Community College','Contrib',3097,'OpenStax_IA_7.1_45.pg',0,0,'en',0,1),(39699,195,191,_binary 'Red Rocks Community College','Contrib',3098,'OpenStax_IA_8.2_71.pg',0,0,'en',0,0),(39700,195,191,_binary 'Red Rocks Community College','Contrib',3098,'OpenStax_IA_8.2_67.pg',0,0,'en',0,0),(39701,1429,191,_binary 'Red Rocks Community College','Contrib',3098,'OpenStax_IA_8.2_87.pg',0,0,'en',0,0),(39702,195,191,_binary 'Red Rocks Community College','Contrib',3098,'OpenStax_IA_8.2_75.pg',0,0,'en',0,0),(39703,1429,191,_binary 'Red Rocks Community College','Contrib',3098,'OpenStax_IA_8.2_63.pg',0,0,'en',0,0),(39704,1429,191,_binary 'Red Rocks Community College','Contrib',3098,'OpenStax_IA_8.2_83.pg',0,0,'en',0,0),(39705,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_209.pg',0,0,'en',0,1),(39706,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_209.pg',0,0,'en',0,1),(39707,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_195.pg',0,0,'en',0,1),(39708,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_195.pg',0,0,'en',0,1),(39709,246,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_201.pg',0,0,'en',0,1),(39710,504,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_201.pg',0,0,'en',0,1),(39711,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_213.pg',0,0,'en',0,1),(39712,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_213.pg',0,0,'en',0,1),(39713,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_216.pg',0,0,'en',0,1),(39714,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_216.pg',0,0,'en',0,1),(39715,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_207.pg',0,0,'en',0,1),(39716,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_207.pg',0,0,'en',0,1),(39717,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_203.pg',0,0,'en',0,1),(39718,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3099,'OpenStax_IA_9.5_203.pg',0,0,'en',0,1),(39719,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3100,'Add_Fractions_4.pg',0,0,'en',0,1),(39720,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3100,'Add_Fractions_4.pg',0,0,'en',0,1),(39721,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3100,'Add_Fractions_3.pg',0,0,'en',0,1),(39722,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3100,'Add_Fractions_3.pg',0,0,'en',0,1),(39723,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3100,'Least_Common_Denom_1.pg',0,0,'en',0,1),(39724,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3100,'Least_Common_Denom_1.pg',0,0,'en',0,1),(39725,235,197,_binary 'CCD','Contrib',3101,'CompoundLinearInequalityWithSetNotation1.pg',2983,3,'en',0,1),(39726,493,197,_binary 'CCD','Contrib',3101,'CompoundLinearInequalityWithSetNotation1.pg',2983,3,'en',0,1),(39727,202,191,_binary 'Red Rocks Community College','Contrib',3102,'OpenStax_IA_6.2_121.pg',0,0,'en',0,0),(39728,202,191,_binary 'Red Rocks Community College','Contrib',3102,'OpenStax_IA_6.2_109.pg',0,0,'en',0,0),(39729,202,191,_binary 'Red Rocks Community College','Contrib',3102,'OpenStax_IA_6.2_119.pg',0,0,'en',0,0),(39730,202,191,_binary 'Red Rocks Community College','Contrib',3102,'OpenStax_IA_6.2_97.pg',0,0,'en',0,0),(39731,202,191,_binary 'Red Rocks Community College','Contrib',3102,'OpenStax_IA_6.2_99.pg',0,0,'en',0,0),(39732,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_33.pg',0,0,'en',0,1),(39733,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_33.pg',0,0,'en',0,1),(39734,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_30.pg',0,0,'en',0,1),(39735,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_30.pg',0,0,'en',0,1),(39736,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_57.pg',0,0,'en',0,1),(39737,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_57.pg',0,0,'en',0,1),(39738,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_25.pg',0,0,'en',0,1),(39739,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_25.pg',0,0,'en',0,1),(39740,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_31.pg',0,0,'en',0,1),(39741,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_31.pg',0,0,'en',0,1),(39742,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_50.pg',0,0,'en',0,1),(39743,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_50.pg',0,0,'en',0,1),(39744,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_49.pg',0,0,'en',0,1),(39745,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_49.pg',0,0,'en',0,1),(39746,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_48.pg',0,0,'en',0,1),(39747,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_48.pg',0,0,'en',0,1),(39748,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_40.pg',0,0,'en',0,1),(39749,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_40.pg',0,0,'en',0,1),(39750,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_6.pg',0,0,'en',0,1),(39751,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_6.pg',0,0,'en',0,1),(39752,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_44.pg',0,0,'en',0,1),(39753,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_44.pg',0,0,'en',0,1),(39754,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_5.pg',0,0,'en',0,1),(39755,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_5.pg',0,0,'en',0,1),(39756,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_56.pg',0,0,'en',0,1),(39757,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_56.pg',0,0,'en',0,1),(39758,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_34.pg',0,0,'en',0,1),(39759,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_34.pg',0,0,'en',0,1),(39760,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_47.pg',0,0,'en',0,1),(39761,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_47.pg',0,0,'en',0,1),(39762,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_51.pg',0,0,'en',0,1),(39763,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_51.pg',0,0,'en',0,1),(39764,268,198,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_41.pg',0,0,'en',0,1),(39765,526,198,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_41.pg',0,0,'en',0,1),(39766,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_61.pg',0,0,'en',0,1),(39767,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_61.pg',0,0,'en',0,1),(39768,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_32.pg',0,0,'en',0,1),(39769,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3103,'OpenStax_IA_4.1_32.pg',0,0,'en',0,1),(39770,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_distribute.pg',0,0,'en',0,0),(39771,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_155.pg',0,0,'en',0,0),(39772,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_multexp2.pg',0,0,'en',0,0),(39773,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_153.pg',0,0,'en',0,0),(39774,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_129.pg',0,0,'en',0,0),(39775,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_addexp2.pg',0,0,'en',0,0),(39776,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_subexp1.pg',0,0,'en',0,0),(39777,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_151.pg',0,0,'en',0,0),(39778,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_147.pg',0,0,'en',0,0),(39779,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_multexp1.pg',0,0,'en',0,0),(39780,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_123.pg',0,0,'en',0,0),(39781,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_159.pg',0,0,'en',0,0),(39782,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_addexp1.pg',0,0,'en',0,0),(39783,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_136.pg',0,0,'en',0,0),(39784,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_141.pg',0,0,'en',0,0),(39785,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_125.pg',0,0,'en',0,0),(39786,195,191,_binary 'Red Rocks Community College','Contrib',3104,'OpenStax_IA_8.3_subexp2.pg',0,0,'en',0,0),(39787,1528,191,_binary 'Red Rocks Community College','Contrib',3105,'OpenStax_IA_8.4_165.pg',0,0,'en',0,0),(39788,1429,191,_binary 'Red Rocks Community College','Contrib',3105,'OpenStax_IA_8.4_191.pg',0,0,'en',0,0),(39789,207,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_385.pg',0,0,'en',0,1),(39790,465,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_385.pg',0,0,'en',0,1),(39791,208,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_341.pg',0,0,'en',0,1),(39792,466,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_341.pg',0,0,'en',0,1),(39793,208,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_373.pg',0,0,'en',0,1),(39794,466,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_373.pg',0,0,'en',0,1),(39795,207,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_383.pg',0,0,'en',0,1),(39796,465,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_383.pg',0,0,'en',0,1),(39797,207,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_379.pg',0,0,'en',0,1),(39798,465,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3106,'OpenStax_IA_3.6_379.pg',0,0,'en',0,1),(39799,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(39800,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(39801,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_235.pg',0,0,'en',0,1),(39802,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_235.pg',0,0,'en',0,1),(39803,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(39804,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(39805,276,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(39806,534,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(39807,276,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3107,'OpenStax_IA_7.4_201.pg',0,0,'en',0,1),(39808,534,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3107,'OpenStax_IA_7.4_201.pg',0,0,'en',0,1),(39809,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(39810,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(39811,276,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3107,'OpenStax_IA_7.4_Eqn.pg',0,0,'en',0,1),(39812,534,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3107,'OpenStax_IA_7.4_Eqn.pg',0,0,'en',0,1),(39813,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_199.pg',0,0,'en',0,1),(39814,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_199.pg',0,0,'en',0,1),(39815,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(39816,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(39817,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(39818,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(39819,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(39820,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(39821,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(39822,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3107,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(39823,240,191,_binary 'Red Rocks Community College','Contrib',3108,'OpenStax_IA_9.3_135.pg',0,0,'en',0,1),(39824,498,191,_binary 'Red Rocks Community College','Contrib',3108,'OpenStax_IA_9.3_135.pg',0,0,'en',0,1),(39825,240,191,_binary 'Red Rocks Community College','Contrib',3108,'OpenStax_IA_9.3_137.pg',0,0,'en',0,1),(39826,498,191,_binary 'Red Rocks Community College','Contrib',3108,'OpenStax_IA_9.3_137.pg',0,0,'en',0,1),(39827,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_31.pg',0,0,'en',0,1),(39828,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_31.pg',0,0,'en',0,1),(39829,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_31.pg',0,0,'en',0,1),(39830,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_42.pg',0,0,'en',0,1),(39831,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_42.pg',0,0,'en',0,1),(39832,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_42.pg',0,0,'en',0,1),(39833,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_41.pg',0,0,'en',0,1),(39834,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_41.pg',0,0,'en',0,1),(39835,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_41.pg',0,0,'en',0,1),(39836,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_8.pg',0,0,'en',0,1),(39837,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_8.pg',0,0,'en',0,1),(39838,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_8.pg',0,0,'en',0,1),(39839,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_19.pg',0,0,'en',0,1),(39840,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_19.pg',0,0,'en',0,1),(39841,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_19.pg',0,0,'en',0,1),(39842,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_47.pg',0,0,'en',0,1),(39843,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_47.pg',0,0,'en',0,1),(39844,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_47.pg',0,0,'en',0,1),(39845,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_50.pg',0,0,'en',0,1),(39846,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_50.pg',0,0,'en',0,1),(39847,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_50.pg',0,0,'en',0,1),(39848,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_14.pg',0,0,'en',0,1),(39849,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_14.pg',0,0,'en',0,1),(39850,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_14.pg',0,0,'en',0,1),(39851,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_17.pg',0,0,'en',0,1),(39852,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_17.pg',0,0,'en',0,1),(39853,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_17.pg',0,0,'en',0,1),(39854,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_13.pg',0,0,'en',0,1),(39855,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_13.pg',0,0,'en',0,1),(39856,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_13.pg',0,0,'en',0,1),(39857,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_27.pg',0,0,'en',0,1),(39858,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_27.pg',0,0,'en',0,1),(39859,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_27.pg',0,0,'en',0,1),(39860,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_51.pg',0,0,'en',0,1),(39861,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_51.pg',0,0,'en',0,1),(39862,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_51.pg',0,0,'en',0,1),(39863,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_11.pg',0,0,'en',0,1),(39864,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_11.pg',0,0,'en',0,1),(39865,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_11.pg',0,0,'en',0,1),(39866,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_15.pg',0,0,'en',0,1),(39867,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_15.pg',0,0,'en',0,1),(39868,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_15.pg',0,0,'en',0,1),(39869,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_33.pg',0,0,'en',0,1),(39870,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_33.pg',0,0,'en',0,1),(39871,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_33.pg',0,0,'en',0,1),(39872,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_6.pg',0,0,'en',0,1),(39873,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_6.pg',0,0,'en',0,1),(39874,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_6.pg',0,0,'en',0,1),(39875,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_10.pg',0,0,'en',0,1),(39876,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_10.pg',0,0,'en',0,1),(39877,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_10.pg',0,0,'en',0,1),(39878,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_30.pg',0,0,'en',0,1),(39879,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_30.pg',0,0,'en',0,1),(39880,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_30.pg',0,0,'en',0,1),(39881,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_21.pg',0,0,'en',0,1),(39882,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_21.pg',0,0,'en',0,1),(39883,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_21.pg',0,0,'en',0,1),(39884,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_29.pg',0,0,'en',0,1),(39885,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_29.pg',0,0,'en',0,1),(39886,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_29.pg',0,0,'en',0,1),(39887,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_28.pg',0,0,'en',0,1),(39888,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_28.pg',0,0,'en',0,1),(39889,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_28.pg',0,0,'en',0,1),(39890,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_16.pg',0,0,'en',0,1),(39891,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_16.pg',0,0,'en',0,1),(39892,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_16.pg',0,0,'en',0,1),(39893,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_45.pg',0,0,'en',0,1),(39894,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_45.pg',0,0,'en',0,1),(39895,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3109,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_45.pg',0,0,'en',0,1),(39896,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_61.pg',0,0,'en',0,1),(39897,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_61.pg',0,0,'en',0,1),(39898,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_13.pg',0,0,'en',0,1),(39899,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_13.pg',0,0,'en',0,1),(39900,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_59.pg',0,0,'en',0,1),(39901,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_59.pg',0,0,'en',0,1),(39902,210,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_5.pg',0,0,'en',0,1),(39903,468,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_5.pg',0,0,'en',0,1),(39904,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_39.pg',0,0,'en',0,1),(39905,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_39.pg',0,0,'en',0,1),(39906,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_73.pg',0,0,'en',0,1),(39907,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_73.pg',0,0,'en',0,1),(39908,210,202,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_9.pg',0,0,'en',0,1),(39909,468,202,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_9.pg',0,0,'en',0,1),(39910,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_16.pg',0,0,'en',0,1),(39911,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_16.pg',0,0,'en',0,1),(39912,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_11.pg',0,0,'en',0,1),(39913,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3110,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_11.pg',0,0,'en',0,1),(39914,210,17,_binary 'University of Missouri-Columbia','Contrib',3110,'Openstax_AlgTrig_AT-1-001-AS_3_4_43.pg',0,3,'en',0,0),(39915,468,17,_binary 'University of Missouri-Columbia','Contrib',3110,'Openstax_AlgTrig_AT-1-001-AS_3_4_43.pg',0,3,'en',0,0),(39916,210,17,_binary 'University of Missouri-Columbia','Contrib',3110,'Openstax_AlgTrig_AT-1-001-AS_3_4_45.pg',0,3,'en',0,0),(39917,468,17,_binary 'University of Missouri-Columbia','Contrib',3110,'Openstax_AlgTrig_AT-1-001-AS_3_4_45.pg',0,3,'en',0,0),(39918,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_43.pg',0,0,'en',0,1),(39919,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_43.pg',0,0,'en',0,1),(39920,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_5.pg',0,0,'en',0,1),(39921,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_5.pg',0,0,'en',0,1),(39922,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_44.pg',0,0,'en',0,1),(39923,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_44.pg',0,0,'en',0,1),(39924,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_14.pg',0,0,'en',0,1),(39925,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_14.pg',0,0,'en',0,1),(39926,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_7.pg',0,0,'en',0,1),(39927,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_7.pg',0,0,'en',0,1),(39928,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_12.pg',0,0,'en',0,1),(39929,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_12.pg',0,0,'en',0,1),(39930,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_6.pg',0,0,'en',0,1),(39931,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_6.pg',0,0,'en',0,1),(39932,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_8.pg',0,0,'en',0,1),(39933,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_8.pg',0,0,'en',0,1),(39934,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_15.pg',0,0,'en',0,1),(39935,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_15.pg',0,0,'en',0,1),(39936,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_9.pg',0,0,'en',0,1),(39937,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_9.pg',0,0,'en',0,1),(39938,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_16.pg',0,0,'en',0,1),(39939,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_16.pg',0,0,'en',0,1),(39940,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_4.pg',0,0,'en',0,1),(39941,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_4.pg',0,0,'en',0,1),(39942,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_11.pg',0,0,'en',0,1),(39943,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3111,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_11.pg',0,0,'en',0,1),(39944,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_65.pg',0,0,'en',0,1),(39945,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_28.pg',0,0,'en',0,1),(39946,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_12.pg',0,0,'en',0,1),(39947,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_6.pg',0,0,'en',0,1),(39948,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_60.pg',0,0,'en',0,1),(39949,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_67.pg',0,0,'en',0,1),(39950,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_7.pg',0,0,'en',0,1),(39951,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_74.pg',0,0,'en',0,1),(39952,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_31.pg',0,0,'en',0,1),(39953,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_32.pg',0,0,'en',0,1),(39954,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_11.pg',0,0,'en',0,1),(39955,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_61.pg',0,0,'en',0,1),(39956,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_29.pg',0,0,'en',0,1),(39957,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_54.pg',0,0,'en',0,1),(39958,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_27.pg',0,0,'en',0,1),(39959,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_44.pg',0,0,'en',0,1),(39960,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_47.pg',0,0,'en',0,1),(39961,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_38.pg',0,0,'en',0,1),(39962,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_37.pg',0,0,'en',0,1),(39963,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_17.pg',0,0,'en',0,1),(39964,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3112,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg',0,0,'en',0,1),(39965,280,203,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_19.pg',0,0,'en',0,1),(39966,538,203,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_19.pg',0,0,'en',0,1),(39967,278,204,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_73.pg',0,0,'en',0,1),(39968,536,204,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_73.pg',0,0,'en',0,1),(39969,280,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_31.pg',0,0,'en',0,1),(39970,538,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_31.pg',0,0,'en',0,1),(39971,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_75.pg',0,0,'en',0,1),(39972,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_75.pg',0,0,'en',0,1),(39973,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_77.pg',0,0,'en',0,1),(39974,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_77.pg',0,0,'en',0,1),(39975,280,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_34.pg',0,0,'en',0,1),(39976,538,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_34.pg',0,0,'en',0,1),(39977,279,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_45.pg',0,0,'en',0,1),(39978,537,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_45.pg',0,0,'en',0,1),(39979,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_57.pg',0,0,'en',0,1),(39980,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_57.pg',0,0,'en',0,1),(39981,260,206,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_43.pg',0,0,'en',0,1),(39982,518,206,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_43.pg',0,0,'en',0,1),(39983,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_51.pg',0,0,'en',0,1),(39984,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_51.pg',0,0,'en',0,1),(39985,277,196,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_8.pg',0,0,'en',0,1),(39986,535,196,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_8.pg',0,0,'en',0,1),(39987,278,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_71.pg',0,0,'en',0,1),(39988,536,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_71.pg',0,0,'en',0,1),(39989,260,208,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_40.pg',0,0,'en',0,1),(39990,518,208,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_40.pg',0,0,'en',0,1),(39991,280,203,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_17.pg',0,0,'en',0,1),(39992,538,203,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_17.pg',0,0,'en',0,1),(39993,281,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_83.pg',0,0,'en',0,1),(39994,539,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_83.pg',0,0,'en',0,1),(39995,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_78.pg',0,0,'en',0,1),(39996,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_78.pg',0,0,'en',0,1),(39997,280,205,_binary 'Community College, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_sup1.pg',0,0,'en',0,1),(39998,538,205,_binary 'Community College, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_sup1.pg',0,0,'en',0,1),(39999,277,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_9.pg',0,0,'en',0,1),(40000,535,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_9.pg',0,0,'en',0,1),(40001,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_20.pg',0,0,'en',0,1),(40002,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_20.pg',0,0,'en',0,1),(40003,280,209,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_15.pg',0,0,'en',0,1),(40004,538,209,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3113,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_15.pg',0,0,'en',0,1),(40005,281,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_81.pg',0,0,'en',0,1),(40006,539,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3113,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_81.pg',0,0,'en',0,1),(40007,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_33.pg',0,0,'en',0,1),(40008,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_33.pg',0,0,'en',0,1),(40009,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_42.pg',0,0,'en',0,1),(40010,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_42.pg',0,0,'en',0,1),(40011,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_51.pg',0,0,'en',0,1),(40012,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_56.pg',0,0,'en',0,1),(40013,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_73.pg',0,0,'en',0,1),(40014,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_73.pg',0,0,'en',0,1),(40015,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_09.pg',0,0,'en',0,1),(40016,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_27.pg',0,0,'en',0,1),(40017,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_27.pg',0,0,'en',0,1),(40018,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_23.pg',0,0,'en',0,1),(40019,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_23.pg',0,0,'en',0,1),(40020,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_48.pg',0,0,'en',0,1),(40021,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_48.pg',0,0,'en',0,1),(40022,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_06.pg',0,0,'en',0,1),(40023,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_54.pg',0,0,'en',0,1),(40024,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_25.pg',0,0,'en',0,1),(40025,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_25.pg',0,0,'en',0,1),(40026,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_57.pg',0,0,'en',0,1),(40027,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_60.pg',0,0,'en',0,1),(40028,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_60.pg',0,0,'en',0,1),(40029,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_50.pg',0,0,'en',0,1),(40030,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_26.pg',0,0,'en',0,1),(40031,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_26.pg',0,0,'en',0,1),(40032,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_36.pg',0,0,'en',0,1),(40033,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_36.pg',0,0,'en',0,1),(40034,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_08.pg',0,0,'en',0,1),(40035,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_07.pg',0,0,'en',0,1),(40036,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_52.pg',0,0,'en',0,1),(40037,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_46.pg',0,0,'en',0,1),(40038,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_46.pg',0,0,'en',0,1),(40039,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_22.pg',0,0,'en',0,1),(40040,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_22.pg',0,0,'en',0,1),(40041,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_53.pg',0,0,'en',0,1),(40042,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_35.pg',0,0,'en',0,1),(40043,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_35.pg',0,0,'en',0,1),(40044,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_29.pg',0,0,'en',0,1),(40045,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_29.pg',0,0,'en',0,1),(40046,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_67.pg',0,0,'en',0,1),(40047,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_67.pg',0,0,'en',0,1),(40048,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_28.pg',0,0,'en',0,1),(40049,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_28.pg',0,0,'en',0,1),(40050,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_24.pg',0,0,'en',0,1),(40051,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_24.pg',0,0,'en',0,1),(40052,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_40.pg',0,0,'en',0,1),(40053,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_40.pg',0,0,'en',0,1),(40054,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_55.pg',0,0,'en',0,1),(40055,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_59.pg',0,0,'en',0,1),(40056,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_59.pg',0,0,'en',0,1),(40057,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_34.pg',0,0,'en',0,1),(40058,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3114,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_34.pg',0,0,'en',0,1),(40059,246,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_51.pg',0,0,'en',0,1),(40060,504,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_51.pg',0,0,'en',0,1),(40061,246,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_57.pg',0,0,'en',0,1),(40062,504,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_57.pg',0,0,'en',0,1),(40063,242,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_21.pg',0,0,'en',0,1),(40064,500,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_21.pg',0,0,'en',0,1),(40065,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_12.pg',0,0,'en',0,1),(40066,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_12.pg',0,0,'en',0,1),(40067,239,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_26.pg',0,0,'en',0,1),(40068,497,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_26.pg',0,0,'en',0,1),(40069,239,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_25.pg',0,0,'en',0,1),(40070,497,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_25.pg',0,0,'en',0,1),(40071,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_32.pg',0,0,'en',0,1),(40072,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_32.pg',0,0,'en',0,1),(40073,240,0,_binary 'Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_41.pg',0,0,'en',0,1),(40074,498,0,_binary 'Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_41.pg',0,0,'en',0,1),(40075,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_38.pg',0,0,'en',0,1),(40076,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_38.pg',0,0,'en',0,1),(40077,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_6.pg',0,0,'en',0,1),(40078,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_6.pg',0,0,'en',0,1),(40079,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_39.pg',0,0,'en',0,1),(40080,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_39.pg',0,0,'en',0,1),(40081,246,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_56.pg',0,0,'en',0,1),(40082,504,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_56.pg',0,0,'en',0,1),(40083,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_35.pg',0,0,'en',0,1),(40084,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_35.pg',0,0,'en',0,1),(40085,242,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_19.pg',0,0,'en',0,1),(40086,500,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3115,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_19.pg',0,0,'en',0,1),(40087,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_13.pg',0,0,'en',0,1),(40088,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_13.pg',0,0,'en',0,1),(40089,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_40.pg',0,0,'en',0,1),(40090,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_40.pg',0,0,'en',0,1),(40091,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_36.pg',0,0,'en',0,1),(40092,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_36.pg',0,0,'en',0,1),(40093,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_19.pg',0,0,'en',0,1),(40094,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_19.pg',0,0,'en',0,1),(40095,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_10.pg',0,0,'en',0,1),(40096,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_10.pg',0,0,'en',0,1),(40097,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_30.pg',0,0,'en',0,1),(40098,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_30.pg',0,0,'en',0,1),(40099,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_07.pg',0,0,'en',0,1),(40100,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_07.pg',0,0,'en',0,1),(40101,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_21.pg',0,0,'en',0,1),(40102,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_21.pg',0,0,'en',0,1),(40103,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_41.pg',0,0,'en',0,1),(40104,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_41.pg',0,0,'en',0,1),(40105,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_34.pg',0,0,'en',0,1),(40106,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_34.pg',0,0,'en',0,1),(40107,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_12.pg',0,0,'en',0,1),(40108,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_12.pg',0,0,'en',0,1),(40109,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_14.pg',0,0,'en',0,1),(40110,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_14.pg',0,0,'en',0,1),(40111,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_39.pg',0,0,'en',0,1),(40112,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_39.pg',0,0,'en',0,1),(40113,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_11.pg',0,0,'en',0,1),(40114,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_11.pg',0,0,'en',0,1),(40115,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_20.pg',0,0,'en',0,1),(40116,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_20.pg',0,0,'en',0,1),(40117,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_06.pg',0,0,'en',0,1),(40118,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_06.pg',0,0,'en',0,1),(40119,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_42.pg',0,0,'en',0,1),(40120,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3116,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_42.pg',0,0,'en',0,1),(40121,1530,199,_binary 'Colorado Community College System','Contrib',3117,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_449.pg',0,0,'en',0,1),(40122,192,199,_binary 'Colorado Community College System','Contrib',3117,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_17.pg',0,0,'en',0,1),(40123,192,199,_binary 'Colorado Community College System','Contrib',3117,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_19.pg',0,0,'en',0,1),(40124,192,199,_binary 'Colorado Community College System','Contrib',3117,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_21.pg',0,0,'en',0,1),(40125,286,196,_binary 'Red Rocks Community College','Contrib',3118,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_16.pg',0,0,'en',0,1),(40126,544,196,_binary 'Red Rocks Community College','Contrib',3118,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_16.pg',0,0,'en',0,1),(40127,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_25.pg',0,0,'en',0,1),(40128,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_25.pg',0,0,'en',0,1),(40129,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_13.pg',0,0,'en',0,1),(40130,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_13.pg',0,0,'en',0,1),(40131,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_19.pg',0,0,'en',0,1),(40132,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_19.pg',0,0,'en',0,1),(40133,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_23.pg',0,0,'en',0,1),(40134,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_23.pg',0,0,'en',0,1),(40135,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_27.pg',0,0,'en',0,1),(40136,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_27.pg',0,0,'en',0,1),(40137,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_12.pg',0,0,'en',0,1),(40138,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_12.pg',0,0,'en',0,1),(40139,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_15.pg',0,0,'en',0,1),(40140,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_15.pg',0,0,'en',0,1),(40141,286,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_3.pg',0,0,'en',0,1),(40142,544,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_3.pg',0,0,'en',0,1),(40143,286,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_9.pg',0,0,'en',0,1),(40144,544,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_9.pg',0,0,'en',0,1),(40145,286,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_7.pg',0,0,'en',0,1),(40146,544,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3118,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_7.pg',0,0,'en',0,1),(40147,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_31.pg',0,0,'en',0,1),(40148,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3118,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_31.pg',0,0,'en',0,1),(40149,284,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_45.pg',0,0,'en',0,1),(40150,542,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_45.pg',0,0,'en',0,1),(40151,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_25.pg',0,0,'en',0,1),(40152,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_25.pg',0,0,'en',0,1),(40153,284,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_37.pg',0,0,'en',0,1),(40154,542,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_37.pg',0,0,'en',0,1),(40155,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_12.pg',0,0,'en',0,1),(40156,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_12.pg',0,0,'en',0,1),(40157,282,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_21.pg',0,0,'en',0,1),(40158,540,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_21.pg',0,0,'en',0,1),(40159,282,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3119,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_sup1.pg',0,0,'en',0,1),(40160,540,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3119,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_sup1.pg',0,0,'en',0,1),(40161,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_29.pg',0,0,'en',0,1),(40162,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_29.pg',0,0,'en',0,1),(40163,284,196,_binary 'Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_57.pg',0,0,'en',0,1),(40164,542,196,_binary 'Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_57.pg',0,0,'en',0,1),(40165,282,196,_binary 'Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_18.pg',0,0,'en',0,1),(40166,540,196,_binary 'Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_18.pg',0,0,'en',0,1),(40167,282,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_19.pg',0,0,'en',0,1),(40168,540,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3119,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_19.pg',0,0,'en',0,1),(40169,283,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3119,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_14.pg',0,0,'en',0,1),(40170,541,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3119,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_14.pg',0,0,'en',0,1),(40171,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_54.pg',0,0,'en',0,1),(40172,196,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_27.pg',0,0,'en',0,1),(40173,197,0,_binary 'Red Rocks Community College','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_17.pg',0,0,'en',0,1),(40174,236,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_5.pg',0,0,'en',0,1),(40175,494,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_5.pg',0,0,'en',0,1),(40176,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_25.pg',0,0,'en',0,1),(40177,196,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_29.pg',0,0,'en',0,1),(40178,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_44.pg',0,0,'en',0,1),(40179,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_19.pg',0,0,'en',0,1),(40180,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_45.pg',0,0,'en',0,1),(40181,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_43.pg',0,0,'en',0,1),(40182,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_23.pg',0,0,'en',0,1),(40183,229,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_13.pg',0,0,'en',0,1),(40184,487,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_13.pg',0,0,'en',0,1),(40185,197,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_63.pg',0,0,'en',0,1),(40186,196,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_30.pg',0,0,'en',0,1),(40187,196,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_28.pg',0,0,'en',0,1),(40188,236,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_9.pg',0,0,'en',0,1),(40189,494,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_9.pg',0,0,'en',0,1),(40190,196,0,_binary 'Colorado Community College System','Contrib',3120,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_34.pg',0,0,'en',0,1),(40191,305,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_40.pg',0,0,'en',0,1),(40192,563,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_40.pg',0,0,'en',0,1),(40193,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_44.pg',0,0,'en',0,1),(40194,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_44.pg',0,0,'en',0,1),(40195,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_47.pg',0,0,'en',0,1),(40196,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_47.pg',0,0,'en',0,1),(40197,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_20.pg',0,0,'en',0,1),(40198,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_20.pg',0,0,'en',0,1),(40199,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_12.pg',0,0,'en',0,1),(40200,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_12.pg',0,0,'en',0,1),(40201,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_11.pg',0,0,'en',0,1),(40202,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_11.pg',0,0,'en',0,1),(40203,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_21.pg',0,0,'en',0,1),(40204,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_21.pg',0,0,'en',0,1),(40205,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_48.pg',0,0,'en',0,1),(40206,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_48.pg',0,0,'en',0,1),(40207,317,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_74.pg',0,0,'en',0,1),(40208,575,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_74.pg',0,0,'en',0,1),(40209,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_7.pg',0,0,'en',0,1),(40210,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_7.pg',0,0,'en',0,1),(40211,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_10.pg',0,0,'en',0,1),(40212,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_10.pg',0,0,'en',0,1),(40213,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_18.pg',0,0,'en',0,1),(40214,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_18.pg',0,0,'en',0,1),(40215,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_61.pg',0,0,'en',0,1),(40216,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_61.pg',0,0,'en',0,1),(40217,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_9.pg',0,0,'en',0,1),(40218,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_9.pg',0,0,'en',0,1),(40219,311,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_46.pg',0,0,'en',0,1),(40220,569,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_46.pg',0,0,'en',0,1),(40221,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_23.pg',0,0,'en',0,1),(40222,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_23.pg',0,0,'en',0,1),(40223,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_57.pg',0,0,'en',0,1),(40224,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_57.pg',0,0,'en',0,1),(40225,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_22.pg',0,0,'en',0,1),(40226,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_22.pg',0,0,'en',0,1),(40227,305,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_39.pg',0,0,'en',0,1),(40228,563,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_39.pg',0,0,'en',0,1),(40229,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_6.pg',0,0,'en',0,1),(40230,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_6.pg',0,0,'en',0,1),(40231,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_19.pg',0,0,'en',0,1),(40232,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_19.pg',0,0,'en',0,1),(40233,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_13.pg',0,0,'en',0,1),(40234,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_13.pg',0,0,'en',0,1),(40235,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_8.pg',0,0,'en',0,1),(40236,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_8.pg',0,0,'en',0,1),(40237,311,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_55.pg',0,0,'en',0,1),(40238,569,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3121,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_55.pg',0,0,'en',0,1),(40239,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_31.pg',0,0,'en',0,1),(40240,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_31.pg',0,0,'en',0,1),(40241,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_7.pg',0,0,'en',0,1),(40242,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_7.pg',0,0,'en',0,1),(40243,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_37.pg',0,0,'en',0,1),(40244,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_37.pg',0,0,'en',0,1),(40245,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_19.pg',0,0,'en',0,1),(40246,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_19.pg',0,0,'en',0,1),(40247,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_9.pg',0,0,'en',0,1),(40248,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_9.pg',0,0,'en',0,1),(40249,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_4.pg',0,0,'en',0,1),(40250,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_4.pg',0,0,'en',0,1),(40251,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_6.pg',0,0,'en',0,1),(40252,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_6.pg',0,0,'en',0,1),(40253,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_103.pg',0,0,'en',0,1),(40254,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_103.pg',0,0,'en',0,1),(40255,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_38.pg',0,0,'en',0,1),(40256,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_38.pg',0,0,'en',0,1),(40257,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_42.pg',0,0,'en',0,1),(40258,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_42.pg',0,0,'en',0,1),(40259,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_5.pg',0,0,'en',0,1),(40260,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_5.pg',0,0,'en',0,1),(40261,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_41.pg',0,0,'en',0,1),(40262,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_41.pg',0,0,'en',0,1),(40263,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_20.pg',0,0,'en',0,1),(40264,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_20.pg',0,0,'en',0,1),(40265,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_11.pg',0,0,'en',0,1),(40266,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_11.pg',0,0,'en',0,1),(40267,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_45.pg',0,0,'en',0,1),(40268,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_45.pg',0,0,'en',0,1),(40269,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_94.pg',0,0,'en',0,1),(40270,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_94.pg',0,0,'en',0,1),(40271,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_39.pg',0,0,'en',0,1),(40272,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_39.pg',0,0,'en',0,1),(40273,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_46.pg',0,0,'en',0,1),(40274,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_46.pg',0,0,'en',0,1),(40275,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_12.pg',0,0,'en',0,1),(40276,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_12.pg',0,0,'en',0,1),(40277,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_8.pg',0,0,'en',0,1),(40278,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_8.pg',0,0,'en',0,1),(40279,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_30.pg',0,0,'en',0,1),(40280,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_30.pg',0,0,'en',0,1),(40281,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_18.pg',0,0,'en',0,1),(40282,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_18.pg',0,0,'en',0,1),(40283,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_17.pg',0,0,'en',0,1),(40284,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_17.pg',0,0,'en',0,1),(40285,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_10.pg',0,0,'en',0,1),(40286,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_10.pg',0,0,'en',0,1),(40287,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_100.pg',0,0,'en',0,1),(40288,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_100.pg',0,0,'en',0,1),(40289,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_36.pg',0,0,'en',0,1),(40290,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_36.pg',0,0,'en',0,1),(40291,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_96.pg',0,0,'en',0,1),(40292,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_96.pg',0,0,'en',0,1),(40293,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_25.pg',0,0,'en',0,1),(40294,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_25.pg',0,0,'en',0,1),(40295,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_26.pg',0,0,'en',0,1),(40296,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_26.pg',0,0,'en',0,1),(40297,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_28.pg',0,0,'en',0,1),(40298,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3122,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_28.pg',0,0,'en',0,1),(40299,276,196,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_28.pg',0,0,'en',0,1),(40300,534,196,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_28.pg',0,0,'en',0,1),(40301,242,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_38.pg',0,0,'en',0,1),(40302,500,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_38.pg',0,0,'en',0,1),(40303,242,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_37.pg',0,0,'en',0,1),(40304,500,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_37.pg',0,0,'en',0,1),(40305,276,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_9.pg',0,0,'en',0,1),(40306,534,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_9.pg',0,0,'en',0,1),(40307,276,0,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_22.pg',0,0,'en',0,1),(40308,534,0,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_22.pg',0,0,'en',0,1),(40309,1530,196,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_31.pg',0,0,'en',0,1),(40310,1530,196,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_29.pg',0,0,'en',0,1),(40311,276,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_7.pg',0,0,'en',0,1),(40312,534,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_7.pg',0,0,'en',0,1),(40313,1530,0,_binary 'Community College of Denver','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_34.pg',0,0,'en',0,1),(40314,276,0,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_21.pg',0,0,'en',0,1),(40315,534,0,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_21.pg',0,0,'en',0,1),(40316,1530,196,_binary 'Red Rocks Community College','Contrib',3123,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_35.pg',0,0,'en',0,1),(40317,242,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_40.pg',0,0,'en',0,1),(40318,500,210,_binary 'Colorado Community College System','Contrib',3123,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_40.pg',0,0,'en',0,1),(40319,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_47.pg',0,0,'en',0,1),(40320,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_25.pg',0,0,'en',0,1),(40321,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_19.pg',0,0,'en',0,1),(40322,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_30.pg',0,0,'en',0,1),(40323,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_18.pg',0,0,'en',0,1),(40324,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_7.pg',0,0,'en',0,1),(40325,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_6.pg',0,0,'en',0,1),(40326,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_65.pg',0,0,'en',0,1),(40327,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_63.pg',0,0,'en',0,1),(40328,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_31.pg',0,0,'en',0,1),(40329,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_12.pg',0,0,'en',0,1),(40330,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_33.pg',0,0,'en',0,1),(40331,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_23.pg',0,0,'en',0,1),(40332,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_29.pg',0,0,'en',0,1),(40333,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_39.pg',0,0,'en',0,1),(40334,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_52.pg',0,0,'en',0,1),(40335,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_32.pg',0,0,'en',0,1),(40336,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_10.pg',0,0,'en',0,1),(40337,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_40.pg',0,0,'en',0,1),(40338,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_16.pg',0,0,'en',0,1),(40339,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_48.pg',0,0,'en',0,1),(40340,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_55.pg',0,0,'en',0,1),(40341,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_21.pg',0,0,'en',0,1),(40342,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_38.pg',0,0,'en',0,1),(40343,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3124,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_34.pg',0,0,'en',0,1),(40344,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_20.pg',0,0,'en',0,1),(40345,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_20.pg',0,0,'en',0,1),(40346,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_20.pg',0,0,'en',0,1),(40347,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_16.pg',0,0,'en',0,1),(40348,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_16.pg',0,0,'en',0,1),(40349,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_16.pg',0,0,'en',0,1),(40350,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_30.pg',0,0,'en',0,1),(40351,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_30.pg',0,0,'en',0,1),(40352,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_30.pg',0,0,'en',0,1),(40353,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_18.pg',0,0,'en',0,1),(40354,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_18.pg',0,0,'en',0,1),(40355,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_18.pg',0,0,'en',0,1),(40356,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_23.pg',0,0,'en',0,1),(40357,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_23.pg',0,0,'en',0,1),(40358,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_23.pg',0,0,'en',0,1),(40359,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_31.pg',0,0,'en',0,1),(40360,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_31.pg',0,0,'en',0,1),(40361,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3125,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_31.pg',0,0,'en',0,1),(40362,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_13.pg',0,0,'en',0,1),(40363,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_13.pg',0,0,'en',0,1),(40364,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_24.pg',0,0,'en',0,1),(40365,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_24.pg',0,0,'en',0,1),(40366,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_18.pg',0,0,'en',0,1),(40367,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_18.pg',0,0,'en',0,1),(40368,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_39.pg',0,0,'en',0,1),(40369,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_39.pg',0,0,'en',0,1),(40370,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_32.pg',0,0,'en',0,1),(40371,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_32.pg',0,0,'en',0,1),(40372,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_31.pg',0,0,'en',0,1),(40373,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_31.pg',0,0,'en',0,1),(40374,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_19.pg',0,0,'en',0,1),(40375,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_19.pg',0,0,'en',0,1),(40376,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_12.pg',0,0,'en',0,1),(40377,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_12.pg',0,0,'en',0,1),(40378,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_06.pg',0,0,'en',0,1),(40379,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_06.pg',0,0,'en',0,1),(40380,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_22.pg',0,0,'en',0,1),(40381,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_22.pg',0,0,'en',0,1),(40382,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_35.pg',0,0,'en',0,1),(40383,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_35.pg',0,0,'en',0,1),(40384,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_07.pg',0,0,'en',0,1),(40385,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_07.pg',0,0,'en',0,1),(40386,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_40.pg',0,0,'en',0,1),(40387,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_40.pg',0,0,'en',0,1),(40388,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_36.pg',0,0,'en',0,1),(40389,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_36.pg',0,0,'en',0,1),(40390,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_38.pg',0,0,'en',0,1),(40391,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3126,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_38.pg',0,0,'en',0,1),(40392,292,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_example12_sup2.pg',0,0,'en',0,1),(40393,550,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_example12_sup2.pg',0,0,'en',0,1),(40394,1494,49,_binary 'Hope College','Contrib',3127,'RRCC_Openstax_Alg_Section6.1_Num6_44.pg',0,0,'en',0,1),(40395,293,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_66.pg',0,0,'en',0,1),(40396,551,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_66.pg',0,0,'en',0,1),(40397,285,211,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9.pg',0,0,'en',0,1),(40398,543,211,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9.pg',0,0,'en',0,1),(40399,285,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_4.pg',0,0,'en',0,1),(40400,543,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_4.pg',0,0,'en',0,1),(40401,293,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_65.pg',0,0,'en',0,1),(40402,551,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_65.pg',0,0,'en',0,1),(40403,1494,49,_binary 'Hope College','Contrib',3127,'RRCC_Openstax_Alg_Section6.1_Num6_28.pg',0,0,'en',0,1),(40404,291,212,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61.pg',0,0,'en',0,1),(40405,549,212,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61.pg',0,0,'en',0,1),(40406,285,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_24.pg',0,0,'en',1,1),(40407,543,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_24.pg',0,0,'en',1,1),(40408,293,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_28.pg',0,0,'en',0,1),(40409,551,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_28.pg',0,0,'en',0,1),(40410,287,213,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_14.pg',0,0,'en',0,1),(40411,545,213,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_14.pg',0,0,'en',0,1),(40412,285,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_17_sup1.pg',0,0,'en',0,1),(40413,543,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_17_sup1.pg',0,0,'en',0,1),(40414,288,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_18.pg',0,0,'en',1,1),(40415,546,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_18.pg',0,0,'en',1,1),(40416,285,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_23.pg',0,0,'en',1,1),(40417,543,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_23.pg',0,0,'en',1,1),(40418,285,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_17.pg',0,0,'en',0,1),(40419,543,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_17.pg',0,0,'en',0,1),(40420,291,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61_sup1.pg',0,0,'en',0,1),(40421,549,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61_sup1.pg',0,0,'en',0,1),(40422,285,214,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_41.pg',0,0,'en',0,1),(40423,543,214,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_41.pg',0,0,'en',0,1),(40424,291,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_example12_sup1.pg',0,0,'en',0,1),(40425,549,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_example12_sup1.pg',0,0,'en',0,1),(40426,285,205,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9_sup1.pg',0,0,'en',0,1),(40427,543,205,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9_sup1.pg',0,0,'en',0,1),(40428,1494,49,_binary 'Hope College','Contrib',3127,'RRCC_Openstax_Alg_Section6.1_Num6_64.pg',0,0,'en',0,1),(40429,288,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_21.pg',0,0,'en',1,1),(40430,546,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_21.pg',0,0,'en',1,1),(40431,285,213,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_16.pg',0,0,'en',0,1),(40432,543,213,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_16.pg',0,0,'en',0,1),(40433,285,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_26.pg',0,0,'en',1,1),(40434,543,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_26.pg',0,0,'en',1,1),(40435,285,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_39.pg',0,0,'en',0,1),(40436,543,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_39.pg',0,0,'en',0,1),(40437,285,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_40.pg',0,0,'en',0,1),(40438,543,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_40.pg',0,0,'en',0,1),(40439,285,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_15.pg',0,0,'en',0,1),(40440,543,0,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_15.pg',0,0,'en',0,1),(40441,288,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_25.pg',0,0,'en',1,1),(40442,546,199,_binary 'Colorado Community College System','Contrib',3127,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_25.pg',0,0,'en',1,1),(40443,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_17.pg',0,0,'en',0,1),(40444,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_17.pg',0,0,'en',0,1),(40445,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_52.pg',0,0,'en',0,1),(40446,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_52.pg',0,0,'en',0,1),(40447,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_34.pg',0,0,'en',0,1),(40448,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_34.pg',0,0,'en',0,1),(40449,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_22.pg',0,0,'en',0,1),(40450,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_22.pg',0,0,'en',0,1),(40451,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_21.pg',0,0,'en',0,1),(40452,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_21.pg',0,0,'en',0,1),(40453,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_16.pg',0,0,'en',0,1),(40454,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_16.pg',0,0,'en',0,1),(40455,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_7.pg',0,0,'en',0,1),(40456,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_7.pg',0,0,'en',0,1),(40457,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_20.pg',0,0,'en',0,1),(40458,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_20.pg',0,0,'en',0,1),(40459,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_91.pg',0,0,'en',0,1),(40460,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_91.pg',0,0,'en',0,1),(40461,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_26.pg',0,0,'en',0,1),(40462,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_26.pg',0,0,'en',0,1),(40463,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_43.pg',0,0,'en',0,1),(40464,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_43.pg',0,0,'en',0,1),(40465,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_19.pg',0,0,'en',0,1),(40466,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_19.pg',0,0,'en',0,1),(40467,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_28.pg',0,0,'en',0,1),(40468,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_28.pg',0,0,'en',0,1),(40469,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_11.pg',0,0,'en',0,1),(40470,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_11.pg',0,0,'en',0,1),(40471,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_42.pg',0,0,'en',0,1),(40472,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_42.pg',0,0,'en',0,1),(40473,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_10.pg',0,0,'en',0,1),(40474,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_10.pg',0,0,'en',0,1),(40475,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_50.pg',0,0,'en',0,1),(40476,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_50.pg',0,0,'en',0,1),(40477,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_15.pg',0,0,'en',0,1),(40478,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_15.pg',0,0,'en',0,1),(40479,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_35.pg',0,0,'en',0,1),(40480,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_35.pg',0,0,'en',0,1),(40481,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_18.pg',0,0,'en',0,1),(40482,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_18.pg',0,0,'en',0,1),(40483,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_56.pg',0,0,'en',0,1),(40484,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_56.pg',0,0,'en',0,1),(40485,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_13.pg',0,0,'en',0,1),(40486,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_13.pg',0,0,'en',0,1),(40487,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_27.pg',0,0,'en',0,1),(40488,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_27.pg',0,0,'en',0,1),(40489,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_14.pg',0,0,'en',0,1),(40490,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_14.pg',0,0,'en',0,1),(40491,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_44.pg',0,0,'en',0,1),(40492,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_44.pg',0,0,'en',0,1),(40493,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_6.pg',0,0,'en',0,1),(40494,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_6.pg',0,0,'en',0,1),(40495,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_23.pg',0,0,'en',0,1),(40496,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_23.pg',0,0,'en',0,1),(40497,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_36.pg',0,0,'en',0,1),(40498,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_36.pg',0,0,'en',0,1),(40499,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_29.pg',0,0,'en',0,1),(40500,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_29.pg',0,0,'en',0,1),(40501,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_92.pg',0,0,'en',0,1),(40502,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_92.pg',0,0,'en',0,1),(40503,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_12.pg',0,0,'en',0,1),(40504,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3128,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_12.pg',0,0,'en',0,1),(40505,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_7.pg',0,0,'en',0,1),(40506,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_7.pg',0,0,'en',0,1),(40507,205,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_9.pg',0,0,'en',0,1),(40508,463,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_9.pg',0,0,'en',0,1),(40509,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_15.pg',0,0,'en',0,1),(40510,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_15.pg',0,0,'en',0,1),(40511,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_75.pg',0,0,'en',0,1),(40512,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_75.pg',0,0,'en',0,1),(40513,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_41.pg',0,0,'en',0,1),(40514,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_41.pg',0,0,'en',0,1),(40515,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_65.pg',0,0,'en',0,1),(40516,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_65.pg',0,0,'en',0,1),(40517,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_29.pg',0,0,'en',0,1),(40518,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_29.pg',0,0,'en',0,1),(40519,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_53.pg',0,0,'en',0,1),(40520,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_53.pg',0,0,'en',0,1),(40521,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_37.pg',0,0,'en',0,1),(40522,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_37.pg',0,0,'en',0,1),(40523,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_45.pg',0,0,'en',0,1),(40524,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_45.pg',0,0,'en',0,1),(40525,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_28.pg',0,0,'en',0,1),(40526,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_28.pg',0,0,'en',0,1),(40527,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_66.pg',0,0,'en',0,1),(40528,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3129,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_66.pg',0,0,'en',0,1),(40529,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_17.pg',0,0,'en',0,1),(40530,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_17.pg',0,0,'en',0,1),(40531,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_11.pg',0,0,'en',0,1),(40532,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_11.pg',0,0,'en',0,1),(40533,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_9.pg',0,0,'en',0,1),(40534,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_9.pg',0,0,'en',0,1),(40535,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_16.pg',0,0,'en',0,1),(40536,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_16.pg',0,0,'en',0,1),(40537,211,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_45.pg',0,0,'en',0,1),(40538,469,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_45.pg',0,0,'en',0,1),(40539,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_25.pg',0,0,'en',0,1),(40540,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_25.pg',0,0,'en',0,1),(40541,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_23.pg',0,0,'en',0,1),(40542,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_23.pg',0,0,'en',0,1),(40543,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_22.pg',0,0,'en',0,1),(40544,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_22.pg',0,0,'en',0,1),(40545,211,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7b.pg',0,0,'en',0,1),(40546,469,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7b.pg',0,0,'en',0,1),(40547,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_24.pg',0,0,'en',0,1),(40548,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_24.pg',0,0,'en',0,1),(40549,211,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_26.pg',0,0,'en',0,1),(40550,469,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_26.pg',0,0,'en',0,1),(40551,211,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_44.pg',0,0,'en',0,1),(40552,469,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3130,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_44.pg',0,0,'en',0,1),(40553,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3131,'RRCC_CCCS_Circles_1.pg',0,0,'en',0,1),(40554,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3131,'RRCC_CCCS_Circles_3.pg',0,0,'en',0,1),(40555,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3131,'RRCC_CCCS_Circles_4.pg',0,0,'en',0,1),(40556,198,199,_binary 'Commnity College of Denver, Colorado Community College System','Contrib',3131,'CCD_CCCS_Circles_7.pg',0,0,'en',0,1),(40557,198,199,_binary 'Commnity College of Denver, Colorado Community College System','Contrib',3131,'CCD_CCCS_Circles_8.pg',0,0,'en',0,1),(40558,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3131,'RRCC_CCCS_Circles_5.pg',0,0,'en',0,1),(40559,198,199,_binary 'Commnity College of Denver, Colorado Community College System','Contrib',3131,'CCD_CCCS_Circles_6.pg',0,0,'en',0,1),(40560,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3131,'RRCC_CCCS_Circles_2.pg',0,0,'en',0,1),(40561,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_14.pg',0,0,'en',0,1),(40562,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_14.pg',0,0,'en',0,1),(40563,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_10.pg',0,0,'en',0,1),(40564,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_10.pg',0,0,'en',0,1),(40565,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_19.pg',0,0,'en',0,1),(40566,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_19.pg',0,0,'en',0,1),(40567,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_17.pg',0,0,'en',0,1),(40568,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_17.pg',0,0,'en',0,1),(40569,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_13.pg',0,0,'en',0,1),(40570,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_13.pg',0,0,'en',0,1),(40571,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_54.pg',0,0,'en',0,1),(40572,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_54.pg',0,0,'en',0,1),(40573,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_8.pg',0,0,'en',0,1),(40574,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_8.pg',0,0,'en',0,1),(40575,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_24.pg',0,0,'en',0,1),(40576,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_24.pg',0,0,'en',0,1),(40577,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_26.pg',0,0,'en',0,1),(40578,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_26.pg',0,0,'en',0,1),(40579,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_53.pg',0,0,'en',0,1),(40580,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_53.pg',0,0,'en',0,1),(40581,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_31.pg',0,0,'en',0,1),(40582,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_31.pg',0,0,'en',0,1),(40583,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_9.pg',0,0,'en',0,1),(40584,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_9.pg',0,0,'en',0,1),(40585,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_11.pg',0,0,'en',0,1),(40586,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_11.pg',0,0,'en',0,1),(40587,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_32.pg',0,0,'en',0,1),(40588,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_32.pg',0,0,'en',0,1),(40589,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_25.pg',0,0,'en',0,1),(40590,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_25.pg',0,0,'en',0,1),(40591,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_18.pg',0,0,'en',0,1),(40592,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_18.pg',0,0,'en',0,1),(40593,313,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_12.pg',0,0,'en',0,1),(40594,571,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_12.pg',0,0,'en',0,1),(40595,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_30.pg',0,0,'en',0,1),(40596,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3132,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_30.pg',0,0,'en',0,1),(40597,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_29.pg',0,0,'en',0,1),(40598,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_29.pg',0,0,'en',0,1),(40599,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_29.pg',0,0,'en',0,1),(40600,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_44.pg',0,0,'en',0,1),(40601,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_44.pg',0,0,'en',0,1),(40602,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_44.pg',0,0,'en',0,1),(40603,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_13.pg',0,0,'en',0,1),(40604,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_13.pg',0,0,'en',0,1),(40605,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_13.pg',0,0,'en',0,1),(40606,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_21.pg',0,0,'en',0,1),(40607,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_21.pg',0,0,'en',0,1),(40608,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_21.pg',0,0,'en',0,1),(40609,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_8.pg',0,0,'en',0,1),(40610,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_8.pg',0,0,'en',0,1),(40611,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_8.pg',0,0,'en',0,1),(40612,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_20.pg',0,0,'en',0,1),(40613,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_20.pg',0,0,'en',0,1),(40614,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_20.pg',0,0,'en',0,1),(40615,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_37.pg',0,0,'en',0,1),(40616,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_37.pg',0,0,'en',0,1),(40617,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_37.pg',0,0,'en',0,1),(40618,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_16.pg',0,0,'en',0,1),(40619,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_16.pg',0,0,'en',0,1),(40620,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_16.pg',0,0,'en',0,1),(40621,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_35.pg',0,0,'en',0,1),(40622,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_35.pg',0,0,'en',0,1),(40623,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_35.pg',0,0,'en',0,1),(40624,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_6.pg',0,0,'en',0,1),(40625,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_6.pg',0,0,'en',0,1),(40626,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_6.pg',0,0,'en',0,1),(40627,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_42.pg',0,0,'en',0,1),(40628,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_42.pg',0,0,'en',0,1),(40629,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_42.pg',0,0,'en',0,1),(40630,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_31.pg',0,0,'en',0,1),(40631,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_31.pg',0,0,'en',0,1),(40632,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_31.pg',0,0,'en',0,1),(40633,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_39.pg',0,0,'en',0,1),(40634,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_39.pg',0,0,'en',0,1),(40635,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_39.pg',0,0,'en',0,1),(40636,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_41.pg',0,0,'en',0,1),(40637,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_41.pg',0,0,'en',0,1),(40638,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_41.pg',0,0,'en',0,1),(40639,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_23.pg',0,0,'en',0,1),(40640,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_23.pg',0,0,'en',0,1),(40641,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_23.pg',0,0,'en',0,1),(40642,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_19.pg',0,0,'en',0,1),(40643,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_19.pg',0,0,'en',0,1),(40644,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_19.pg',0,0,'en',0,1),(40645,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_17.pg',0,0,'en',0,1),(40646,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_17.pg',0,0,'en',0,1),(40647,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_17.pg',0,0,'en',0,1),(40648,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_15.pg',0,0,'en',0,1),(40649,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_15.pg',0,0,'en',0,1),(40650,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_15.pg',0,0,'en',0,1),(40651,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_38.pg',0,0,'en',0,1),(40652,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_38.pg',0,0,'en',0,1),(40653,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_38.pg',0,0,'en',0,1),(40654,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_25.pg',0,0,'en',0,1),(40655,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_25.pg',0,0,'en',0,1),(40656,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3133,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_25.pg',0,0,'en',0,1),(40657,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(40658,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(40659,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(40660,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(40661,276,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(40662,534,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(40663,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(40664,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(40665,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(40666,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(40667,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(40668,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(40669,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(40670,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(40671,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(40672,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3134,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(40673,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_365.pg',0,0,'en',0,1),(40674,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_365.pg',0,0,'en',0,1),(40675,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_343.pg',0,0,'en',0,1),(40676,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_343.pg',0,0,'en',0,1),(40677,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_339.pg',0,0,'en',0,1),(40678,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_339.pg',0,0,'en',0,1),(40679,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_347.pg',0,0,'en',0,1),(40680,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_347.pg',0,0,'en',0,1),(40681,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_349.pg',0,0,'en',0,1),(40682,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_349.pg',0,0,'en',0,1),(40683,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_352.pg',0,0,'en',0,1),(40684,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_352.pg',0,0,'en',0,1),(40685,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_354.pg',0,0,'en',0,1),(40686,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_354.pg',0,0,'en',0,1),(40687,278,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_357.pg',0,0,'en',0,1),(40688,536,210,_binary 'Colorado Community College System','Contrib',3135,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_357.pg',0,0,'en',0,1),(40689,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_sup2.pg',0,0,'en',1,1),(40690,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_sup2.pg',0,0,'en',1,1),(40691,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_sup1.pg',0,0,'en',1,1),(40692,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_sup1.pg',0,0,'en',1,1),(40693,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_4.pg',0,0,'en',1,1),(40694,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_4.pg',0,0,'en',1,1),(40695,290,199,_binary 'Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9a.pg',0,0,'en',1,1),(40696,548,199,_binary 'Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9a.pg',0,0,'en',1,1),(40697,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9.pg',0,0,'en',1,1),(40698,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9.pg',0,0,'en',1,1),(40699,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_11.pg',0,0,'en',1,1),(40700,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_11.pg',0,0,'en',1,1),(40701,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_23.pg',0,0,'en',0,1),(40702,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_23.pg',0,0,'en',0,1),(40703,285,199,_binary 'Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_45.pg',0,0,'en',0,1),(40704,543,199,_binary 'Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_45.pg',0,0,'en',0,1),(40705,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_19.pg',0,0,'en',1,1),(40706,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_19.pg',0,0,'en',1,1),(40707,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_27.pg',0,0,'en',1,1),(40708,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_27.pg',0,0,'en',1,1),(40709,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_sup3.pg',0,0,'en',0,1),(40710,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_sup3.pg',0,0,'en',0,1),(40711,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_43.pg',0,0,'en',0,1),(40712,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_43.pg',0,0,'en',0,1),(40713,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_44.pg',0,0,'en',0,1),(40714,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_44.pg',0,0,'en',0,1),(40715,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_28.pg',0,0,'en',1,1),(40716,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_28.pg',0,0,'en',1,1),(40717,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_5.pg',0,0,'en',1,1),(40718,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_5.pg',0,0,'en',1,1),(40719,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_32.pg',0,0,'en',0,1),(40720,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_32.pg',0,0,'en',0,1),(40721,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_31.pg',0,0,'en',1,1),(40722,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_31.pg',0,0,'en',1,1),(40723,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_29.pg',0,0,'en',1,1),(40724,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3136,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_29.pg',0,0,'en',1,1),(40725,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_24.pg',0,0,'en',0,1),(40726,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_24.pg',0,0,'en',0,1),(40727,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_30.pg',0,0,'en',0,1),(40728,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_30.pg',0,0,'en',0,1),(40729,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_59.pg',0,0,'en',0,1),(40730,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_59.pg',0,0,'en',0,1),(40731,217,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32b.pg',0,0,'en',0,1),(40732,475,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32b.pg',0,0,'en',0,1),(40733,214,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_56.pg',0,0,'en',0,1),(40734,472,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_56.pg',0,0,'en',0,1),(40735,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_8.pg',0,0,'en',0,1),(40736,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_8.pg',0,0,'en',0,1),(40737,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_25.pg',0,0,'en',0,1),(40738,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_25.pg',0,0,'en',0,1),(40739,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_6.pg',0,0,'en',0,1),(40740,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_6.pg',0,0,'en',0,1),(40741,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_31.pg',0,0,'en',0,1),(40742,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_31.pg',0,0,'en',0,1),(40743,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_47.pg',0,0,'en',0,1),(40744,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_47.pg',0,0,'en',0,1),(40745,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_39.pg',0,0,'en',0,1),(40746,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_39.pg',0,0,'en',0,1),(40747,216,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_53.pg',0,0,'en',0,1),(40748,474,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_53.pg',0,0,'en',0,1),(40749,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_17.pg',0,0,'en',0,1),(40750,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_17.pg',0,0,'en',0,1),(40751,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_69.pg',0,0,'en',0,1),(40752,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_69.pg',0,0,'en',0,1),(40753,218,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_64.pg',0,0,'en',0,1),(40754,476,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_64.pg',0,0,'en',0,1),(40755,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_50.pg',0,0,'en',0,1),(40756,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_50.pg',0,0,'en',0,1),(40757,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_35.pg',0,0,'en',0,1),(40758,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_35.pg',0,0,'en',0,1),(40759,215,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_73.pg',0,0,'en',0,1),(40760,473,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_73.pg',0,0,'en',0,1),(40761,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_11.pg',0,0,'en',0,1),(40762,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_11.pg',0,0,'en',0,1),(40763,218,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_61.pg',0,0,'en',0,1),(40764,476,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_61.pg',0,0,'en',0,1),(40765,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_49.pg',0,0,'en',0,1),(40766,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_49.pg',0,0,'en',0,1),(40767,217,216,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_77.pg',0,0,'en',0,1),(40768,475,216,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_77.pg',0,0,'en',0,1),(40769,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_21.pg',0,0,'en',0,1),(40770,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3137,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_21.pg',0,0,'en',0,1),(40771,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_41.pg',0,0,'en',0,1),(40772,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_41.pg',0,0,'en',0,1),(40773,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_41.pg',0,0,'en',0,1),(40774,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_56.pg',0,0,'en',0,1),(40775,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_56.pg',0,0,'en',0,1),(40776,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_56.pg',0,0,'en',0,1),(40777,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_19.pg',0,0,'en',0,1),(40778,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_19.pg',0,0,'en',0,1),(40779,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_19.pg',0,0,'en',0,1),(40780,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_39.pg',0,0,'en',0,1),(40781,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_39.pg',0,0,'en',0,1),(40782,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_39.pg',0,0,'en',0,1),(40783,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_51.pg',0,0,'en',0,1),(40784,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_51.pg',0,0,'en',0,1),(40785,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_51.pg',0,0,'en',0,1),(40786,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_53.pg',0,0,'en',0,1),(40787,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_53.pg',0,0,'en',0,1),(40788,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_53.pg',0,0,'en',0,1),(40789,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_28.pg',0,0,'en',0,1),(40790,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_28.pg',0,0,'en',0,1),(40791,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_28.pg',0,0,'en',0,1),(40792,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_16.pg',0,0,'en',0,1),(40793,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_16.pg',0,0,'en',0,1),(40794,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_16.pg',0,0,'en',0,1),(40795,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_69.pg',0,0,'en',0,1),(40796,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_69.pg',0,0,'en',0,1),(40797,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_69.pg',0,0,'en',0,1),(40798,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_9.pg',0,0,'en',0,1),(40799,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_9.pg',0,0,'en',0,1),(40800,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_9.pg',0,0,'en',0,1),(40801,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_43.pg',0,0,'en',0,1),(40802,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_43.pg',0,0,'en',0,1),(40803,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_43.pg',0,0,'en',0,1),(40804,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_11.pg',0,0,'en',0,1),(40805,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_11.pg',0,0,'en',0,1),(40806,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_11.pg',0,0,'en',0,1),(40807,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_2.pg',0,0,'en',0,1),(40808,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_2.pg',0,0,'en',0,1),(40809,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_2.pg',0,0,'en',0,1),(40810,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_32.pg',0,0,'en',0,1),(40811,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_32.pg',0,0,'en',0,1),(40812,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_32.pg',0,0,'en',0,1),(40813,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_33.pg',0,0,'en',0,1),(40814,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_33.pg',0,0,'en',0,1),(40815,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_33.pg',0,0,'en',0,1),(40816,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_67.pg',0,0,'en',0,1),(40817,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_67.pg',0,0,'en',0,1),(40818,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_67.pg',0,0,'en',0,1),(40819,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_1.pg',0,0,'en',0,1),(40820,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_1.pg',0,0,'en',0,1),(40821,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_1.pg',0,0,'en',0,1),(40822,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_17.pg',0,0,'en',0,1),(40823,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_17.pg',0,0,'en',0,1),(40824,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_17.pg',0,0,'en',0,1),(40825,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_20.pg',0,0,'en',0,1),(40826,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_20.pg',0,0,'en',0,1),(40827,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_20.pg',0,0,'en',0,1),(40828,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_30.pg',0,0,'en',0,1),(40829,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_30.pg',0,0,'en',0,1),(40830,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_30.pg',0,0,'en',0,1),(40831,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_61.pg',0,0,'en',0,1),(40832,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_61.pg',0,0,'en',0,1),(40833,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_61.pg',0,0,'en',0,1),(40834,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_58.pg',0,0,'en',0,1),(40835,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_58.pg',0,0,'en',0,1),(40836,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3138,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_58.pg',0,0,'en',0,1),(40837,193,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_41.pg',0,0,'en',0,1),(40838,191,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_25.pg',0,0,'en',0,1),(40839,1530,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_8.pg',0,0,'en',0,1),(40840,191,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_16.pg',0,0,'en',0,1),(40841,193,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_40.pg',0,0,'en',0,1),(40842,1530,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_5.pg',0,0,'en',0,1),(40843,1530,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_11.pg',0,0,'en',0,1),(40844,1530,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_9.pg',0,0,'en',0,1),(40845,1530,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3139,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_7.pg',0,0,'en',0,1),(40846,290,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_26.pg',0,0,'en',0,1),(40847,548,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_26.pg',0,0,'en',0,1),(40848,287,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_7.pg',0,0,'en',0,1),(40849,545,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_7.pg',0,0,'en',0,1),(40850,290,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup2.pg',0,0,'en',1,1),(40851,548,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup2.pg',0,0,'en',1,1),(40852,290,0,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_13.pg',0,0,'en',0,1),(40853,548,0,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_13.pg',0,0,'en',0,1),(40854,288,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_52.pg',0,0,'en',0,1),(40855,546,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_52.pg',0,0,'en',0,1),(40856,290,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup3.pg',0,0,'en',1,1),(40857,548,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup3.pg',0,0,'en',1,1),(40858,290,0,_binary 'Community College of Denver','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_43.pg',0,0,'en',0,1),(40859,548,0,_binary 'Community College of Denver','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_43.pg',0,0,'en',0,1),(40860,290,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup4.pg',0,0,'en',0,1),(40861,548,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup4.pg',0,0,'en',0,1),(40862,290,0,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_17.pg',0,0,'en',0,1),(40863,548,0,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_17.pg',0,0,'en',0,1),(40864,290,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_9.pg',0,0,'en',0,1),(40865,548,196,_binary 'Red Rocks Community College','Contrib',3140,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_9.pg',0,0,'en',0,1),(40866,290,193,_binary 'Community College of Denver','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_45.pg',0,0,'en',0,1),(40867,548,193,_binary 'Community College of Denver','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_45.pg',0,0,'en',0,1),(40868,290,0,_binary 'Red Rocks Community College','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_15.pg',0,0,'en',0,1),(40869,548,0,_binary 'Red Rocks Community College','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_15.pg',0,0,'en',0,1),(40870,290,0,_binary 'Community College of Denver','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_41.pg',0,0,'en',0,1),(40871,548,0,_binary 'Community College of Denver','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_41.pg',0,0,'en',0,1),(40872,290,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup1.pg',0,0,'en',1,1),(40873,548,205,_binary 'Community College of Denver, Colorado Community College System','Contrib',3140,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup1.pg',0,0,'en',1,1),(40874,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_33.pg',0,0,'en',0,1),(40875,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_33.pg',0,0,'en',0,1),(40876,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_15.pg',0,0,'en',0,1),(40877,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_15.pg',0,0,'en',0,1),(40878,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_45.pg',0,0,'en',0,1),(40879,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_45.pg',0,0,'en',0,1),(40880,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_10.pg',0,0,'en',0,1),(40881,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_10.pg',0,0,'en',0,1),(40882,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_39.pg',0,0,'en',0,1),(40883,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_39.pg',0,0,'en',0,1),(40884,209,17,_binary 'University of Missouri-Columbia','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_SUP1.pg',2368,2,'en',0,1),(40885,467,17,_binary 'University of Missouri-Columbia','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_SUP1.pg',2368,2,'en',0,1),(40886,208,217,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_27.pg',0,0,'en',0,1),(40887,466,217,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_27.pg',0,0,'en',0,1),(40888,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_8.pg',0,0,'en',0,1),(40889,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_8.pg',0,0,'en',0,1),(40890,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_17.pg',0,0,'en',0,1),(40891,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_17.pg',0,0,'en',0,1),(40892,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_31.pg',0,0,'en',0,1),(40893,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_31.pg',0,0,'en',0,1),(40894,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_32.pg',0,0,'en',0,1),(40895,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_32.pg',0,0,'en',0,1),(40896,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_51.pg',0,0,'en',0,1),(40897,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_51.pg',0,0,'en',0,1),(40898,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_41.pg',0,0,'en',0,1),(40899,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_41.pg',0,0,'en',0,1),(40900,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_47.pg',0,0,'en',0,1),(40901,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_47.pg',0,0,'en',0,1),(40902,209,218,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_43.pg',0,0,'en',0,1),(40903,467,218,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3141,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_43.pg',0,0,'en',0,1),(40904,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_57.pg',0,0,'en',0,1),(40905,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_57.pg',0,0,'en',0,1),(40906,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_21.pg',0,0,'en',0,1),(40907,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_21.pg',0,0,'en',0,1),(40908,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_37.pg',0,0,'en',0,1),(40909,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_37.pg',0,0,'en',0,1),(40910,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_19.pg',0,0,'en',0,1),(40911,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_19.pg',0,0,'en',0,1),(40912,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_17.pg',0,0,'en',0,1),(40913,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_17.pg',0,0,'en',0,1),(40914,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_23.pg',0,0,'en',0,1),(40915,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_23.pg',0,0,'en',0,1),(40916,288,199,_binary 'Community College of Denver','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_8.pg',0,0,'en',0,1),(40917,546,199,_binary 'Community College of Denver','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_8.pg',0,0,'en',0,1),(40918,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_41.pg',0,0,'en',0,1),(40919,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_41.pg',0,0,'en',0,1),(40920,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_29.pg',0,0,'en',0,1),(40921,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_29.pg',0,0,'en',0,1),(40922,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_43.pg',0,0,'en',0,1),(40923,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_43.pg',0,0,'en',0,1),(40924,288,199,_binary 'Community College of Denver','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_4.pg',0,0,'en',0,1),(40925,546,199,_binary 'Community College of Denver','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_4.pg',0,0,'en',0,1),(40926,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_11.pg',0,0,'en',0,1),(40927,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_11.pg',0,0,'en',0,1),(40928,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_7.pg',0,0,'en',0,1),(40929,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_7.pg',0,0,'en',0,1),(40930,288,210,_binary 'Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_15.pg',0,0,'en',0,1),(40931,546,210,_binary 'Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_15.pg',0,0,'en',0,1),(40932,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_45.pg',0,0,'en',0,1),(40933,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_45.pg',0,0,'en',0,1),(40934,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_25.pg',0,0,'en',0,1),(40935,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_25.pg',0,0,'en',0,1),(40936,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_33.pg',0,0,'en',0,1),(40937,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_33.pg',0,0,'en',0,1),(40938,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_49.pg',0,0,'en',0,1),(40939,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_49.pg',0,0,'en',0,1),(40940,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_13.pg',0,0,'en',0,1),(40941,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_13.pg',0,0,'en',0,1),(40942,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_39.pg',0,0,'en',0,1),(40943,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_39.pg',0,0,'en',0,1),(40944,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_31.pg',0,0,'en',0,1),(40945,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_31.pg',0,0,'en',0,1),(40946,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_47.pg',0,0,'en',0,1),(40947,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3142,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_47.pg',0,0,'en',0,1),(40948,288,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_12.pg',0,0,'en',0,1),(40949,546,196,_binary 'Red Rocks Community College','Contrib',3142,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_12.pg',0,0,'en',0,1),(40950,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_13.pg',0,0,'en',0,1),(40951,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_13.pg',0,0,'en',0,1),(40952,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_9.pg',0,0,'en',0,1),(40953,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_9.pg',0,0,'en',0,1),(40954,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_33.pg',0,0,'en',0,1),(40955,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_33.pg',0,0,'en',0,1),(40956,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_6.pg',0,0,'en',0,1),(40957,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_6.pg',0,0,'en',0,1),(40958,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_32.pg',0,0,'en',0,1),(40959,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_32.pg',0,0,'en',0,1),(40960,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_29.pg',0,0,'en',0,1),(40961,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_29.pg',0,0,'en',0,1),(40962,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_8.pg',0,0,'en',0,1),(40963,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_8.pg',0,0,'en',0,1),(40964,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_16.pg',0,0,'en',0,1),(40965,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_16.pg',0,0,'en',0,1),(40966,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_18.pg',0,0,'en',0,1),(40967,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_18.pg',0,0,'en',0,1),(40968,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_30.pg',0,0,'en',0,1),(40969,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_30.pg',0,0,'en',0,1),(40970,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_10.pg',0,0,'en',0,1),(40971,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_10.pg',0,0,'en',0,1),(40972,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_31.pg',0,0,'en',0,1),(40973,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_31.pg',0,0,'en',0,1),(40974,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_7.pg',0,0,'en',0,1),(40975,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_7.pg',0,0,'en',0,1),(40976,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_5.pg',0,0,'en',0,1),(40977,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3143,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_5.pg',0,0,'en',0,1),(40978,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_29.pg',0,0,'en',0,1),(40979,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_29.pg',0,0,'en',0,1),(40980,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_11.pg',0,0,'en',0,1),(40981,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_11.pg',0,0,'en',0,1),(40982,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25.pg',0,0,'en',0,1),(40983,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25.pg',0,0,'en',0,1),(40984,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_09.pg',0,0,'en',0,1),(40985,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_09.pg',0,0,'en',0,1),(40986,287,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_36.pg',0,0,'en',0,1),(40987,545,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_36.pg',0,0,'en',0,1),(40988,287,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_53.pg',0,0,'en',0,1),(40989,545,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_53.pg',0,0,'en',0,1),(40990,288,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_16.pg',0,0,'en',0,1),(40991,546,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_16.pg',0,0,'en',0,1),(40992,287,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_41.pg',0,0,'en',0,1),(40993,545,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_41.pg',0,0,'en',0,1),(40994,293,0,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_64.pg',0,0,'en',0,1),(40995,551,0,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_64.pg',0,0,'en',0,1),(40996,287,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup2.pg',0,0,'en',0,1),(40997,545,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_sup2.pg',0,0,'en',0,1),(40998,287,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43.pg',0,0,'en',0,1),(40999,545,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43.pg',0,0,'en',0,1),(41000,288,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25_sup1.pg',0,0,'en',0,1),(41001,546,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25_sup1.pg',0,0,'en',0,1),(41002,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_35.pg',0,0,'en',0,1),(41003,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_35.pg',0,0,'en',0,1),(41004,288,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_12.pg',0,0,'en',0,1),(41005,546,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_12.pg',0,0,'en',0,1),(41006,287,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43_sup1.pg',0,0,'en',0,1),(41007,545,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43_sup1.pg',0,0,'en',0,1),(41008,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_27.pg',0,0,'en',0,1),(41009,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_27.pg',0,0,'en',0,1),(41010,287,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_51.pg',0,0,'en',0,1),(41011,545,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_51.pg',0,0,'en',0,1),(41012,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_19.pg',0,0,'en',0,1),(41013,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_19.pg',0,0,'en',0,1),(41014,287,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_49.pg',0,0,'en',0,1),(41015,545,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_49.pg',0,0,'en',0,1),(41016,288,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_07.pg',0,0,'en',0,1),(41017,546,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_07.pg',0,0,'en',0,1),(41018,293,0,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_sup3.pg',0,0,'en',0,1),(41019,551,0,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_sup3.pg',0,0,'en',0,1),(41020,287,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_39.pg',0,0,'en',0,1),(41021,545,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_39.pg',0,0,'en',0,1),(41022,288,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_06.pg',0,0,'en',0,1),(41023,546,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_06.pg',0,0,'en',0,1),(41024,288,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23_sup1.pg',0,0,'en',0,1),(41025,546,205,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23_sup1.pg',0,0,'en',0,1),(41026,288,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23.pg',0,0,'en',0,1),(41027,546,193,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23.pg',0,0,'en',0,1),(41028,293,0,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_66.pg',0,0,'en',0,1),(41029,551,0,_binary 'Community College of Denver','Contrib',3144,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_66.pg',0,0,'en',0,1),(41030,287,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_44.pg',0,0,'en',0,1),(41031,545,196,_binary 'Red Rocks Community College','Contrib',3144,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_44.pg',0,0,'en',0,1),(41032,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_31.pg',0,0,'en',0,1),(41033,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_31.pg',0,0,'en',0,1),(41034,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_32.pg',0,0,'en',0,1),(41035,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_32.pg',0,0,'en',0,1),(41036,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_27.pg',0,0,'en',0,1),(41037,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_27.pg',0,0,'en',0,1),(41038,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_25.pg',0,0,'en',0,1),(41039,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_25.pg',0,0,'en',0,1),(41040,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_44.pg',0,0,'en',0,1),(41041,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_44.pg',0,0,'en',0,1),(41042,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_26.pg',0,0,'en',0,1),(41043,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_26.pg',0,0,'en',0,1),(41044,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_10.pg',0,0,'en',0,1),(41045,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_10.pg',0,0,'en',0,1),(41046,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_23.pg',0,0,'en',0,1),(41047,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_23.pg',0,0,'en',0,1),(41048,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_22.pg',0,0,'en',0,1),(41049,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_22.pg',0,0,'en',0,1),(41050,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_13.pg',0,0,'en',0,1),(41051,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_13.pg',0,0,'en',0,1),(41052,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_12.pg',0,0,'en',0,1),(41053,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_12.pg',0,0,'en',0,1),(41054,319,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_52.pg',0,0,'en',0,1),(41055,577,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_52.pg',0,0,'en',0,1),(41056,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_11.pg',0,0,'en',0,1),(41057,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_11.pg',0,0,'en',0,1),(41058,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_24.pg',0,0,'en',0,1),(41059,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_24.pg',0,0,'en',0,1),(41060,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_06.pg',0,0,'en',0,1),(41061,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_06.pg',0,0,'en',0,1),(41062,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_21.pg',0,0,'en',0,1),(41063,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_21.pg',0,0,'en',0,1),(41064,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_18.pg',0,0,'en',0,1),(41065,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_18.pg',0,0,'en',0,1),(41066,319,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_48.pg',0,0,'en',0,1),(41067,577,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_48.pg',0,0,'en',0,1),(41068,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_42.pg',0,0,'en',0,1),(41069,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_42.pg',0,0,'en',0,1),(41070,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_30.pg',0,0,'en',0,1),(41071,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_30.pg',0,0,'en',0,1),(41072,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_19.pg',0,0,'en',0,1),(41073,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_19.pg',0,0,'en',0,1),(41074,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_34.pg',0,0,'en',0,1),(41075,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_34.pg',0,0,'en',0,1),(41076,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_29.pg',0,0,'en',0,1),(41077,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_29.pg',0,0,'en',0,1),(41078,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_28.pg',0,0,'en',0,1),(41079,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_28.pg',0,0,'en',0,1),(41080,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_17.pg',0,0,'en',0,1),(41081,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_17.pg',0,0,'en',0,1),(41082,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_20.pg',0,0,'en',0,1),(41083,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3145,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_20.pg',0,0,'en',0,1),(41084,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_51.pg',0,0,'en',0,1),(41085,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_51.pg',0,0,'en',0,1),(41086,260,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_48.pg',0,0,'en',0,1),(41087,518,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_48.pg',0,0,'en',0,1),(41088,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_23.pg',0,0,'en',0,1),(41089,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_23.pg',0,0,'en',0,1),(41090,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_19.pg',0,0,'en',0,1),(41091,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_19.pg',0,0,'en',0,1),(41092,260,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_47.pg',0,0,'en',0,1),(41093,518,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_47.pg',0,0,'en',0,1),(41094,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_60.pg',0,0,'en',0,1),(41095,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_60.pg',0,0,'en',0,1),(41096,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_57.pg',0,0,'en',0,1),(41097,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_57.pg',0,0,'en',0,1),(41098,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_11.pg',0,0,'en',0,1),(41099,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_11.pg',0,0,'en',0,1),(41100,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_37.pg',0,0,'en',0,1),(41101,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_37.pg',0,0,'en',0,1),(41102,260,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_45.pg',0,0,'en',0,1),(41103,518,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_45.pg',0,0,'en',0,1),(41104,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_46.pg',0,0,'en',0,1),(41105,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_46.pg',0,0,'en',0,1),(41106,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_32.pg',0,0,'en',0,1),(41107,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3146,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_32.pg',0,0,'en',0,1),(41108,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_7.pg',0,0,'en',0,1),(41109,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_7.pg',0,0,'en',0,1),(41110,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_14.pg',0,0,'en',0,1),(41111,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_14.pg',0,0,'en',0,1),(41112,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_24.pg',0,0,'en',0,1),(41113,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_24.pg',0,0,'en',0,1),(41114,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_9.pg',0,0,'en',0,1),(41115,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_9.pg',0,0,'en',0,1),(41116,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_31.pg',0,0,'en',0,1),(41117,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_31.pg',0,0,'en',0,1),(41118,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_5.pg',0,0,'en',0,1),(41119,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_5.pg',0,0,'en',0,1),(41120,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_13.pg',0,0,'en',0,1),(41121,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_13.pg',0,0,'en',0,1),(41122,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_28.pg',0,0,'en',0,1),(41123,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3147,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_28.pg',0,0,'en',0,1),(41124,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_31.pg',0,0,'en',0,1),(41125,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_31.pg',0,0,'en',0,1),(41126,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_31.pg',0,0,'en',0,1),(41127,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_42.pg',0,0,'en',0,1),(41128,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_42.pg',0,0,'en',0,1),(41129,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_42.pg',0,0,'en',0,1),(41130,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_41.pg',0,0,'en',0,1),(41131,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_41.pg',0,0,'en',0,1),(41132,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_41.pg',0,0,'en',0,1),(41133,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_8.pg',0,0,'en',0,1),(41134,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_8.pg',0,0,'en',0,1),(41135,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_8.pg',0,0,'en',0,1),(41136,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_19.pg',0,0,'en',0,1),(41137,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_19.pg',0,0,'en',0,1),(41138,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_19.pg',0,0,'en',0,1),(41139,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_47.pg',0,0,'en',0,1),(41140,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_47.pg',0,0,'en',0,1),(41141,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_47.pg',0,0,'en',0,1),(41142,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_50.pg',0,0,'en',0,1),(41143,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_50.pg',0,0,'en',0,1),(41144,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_50.pg',0,0,'en',0,1),(41145,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_14.pg',0,0,'en',0,1),(41146,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_14.pg',0,0,'en',0,1),(41147,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_14.pg',0,0,'en',0,1),(41148,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_17.pg',0,0,'en',0,1),(41149,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_17.pg',0,0,'en',0,1),(41150,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_17.pg',0,0,'en',0,1),(41151,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_13.pg',0,0,'en',0,1),(41152,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_13.pg',0,0,'en',0,1),(41153,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_13.pg',0,0,'en',0,1),(41154,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_27.pg',0,0,'en',0,1),(41155,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_27.pg',0,0,'en',0,1),(41156,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_27.pg',0,0,'en',0,1),(41157,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_51.pg',0,0,'en',0,1),(41158,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_51.pg',0,0,'en',0,1),(41159,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_51.pg',0,0,'en',0,1),(41160,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_11.pg',0,0,'en',0,1),(41161,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_11.pg',0,0,'en',0,1),(41162,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_11.pg',0,0,'en',0,1),(41163,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_15.pg',0,0,'en',0,1),(41164,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_15.pg',0,0,'en',0,1),(41165,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_15.pg',0,0,'en',0,1),(41166,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_33.pg',0,0,'en',0,1),(41167,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_33.pg',0,0,'en',0,1),(41168,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_33.pg',0,0,'en',0,1),(41169,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_6.pg',0,0,'en',0,1),(41170,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_6.pg',0,0,'en',0,1),(41171,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_6.pg',0,0,'en',0,1),(41172,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_10.pg',0,0,'en',0,1),(41173,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_10.pg',0,0,'en',0,1),(41174,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_10.pg',0,0,'en',0,1),(41175,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_30.pg',0,0,'en',0,1),(41176,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_30.pg',0,0,'en',0,1),(41177,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_30.pg',0,0,'en',0,1),(41178,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_21.pg',0,0,'en',0,1),(41179,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_21.pg',0,0,'en',0,1),(41180,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_21.pg',0,0,'en',0,1),(41181,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_29.pg',0,0,'en',0,1),(41182,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_29.pg',0,0,'en',0,1),(41183,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_29.pg',0,0,'en',0,1),(41184,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_28.pg',0,0,'en',0,1),(41185,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_28.pg',0,0,'en',0,1),(41186,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_28.pg',0,0,'en',0,1),(41187,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_16.pg',0,0,'en',0,1),(41188,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_16.pg',0,0,'en',0,1),(41189,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_16.pg',0,0,'en',0,1),(41190,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_45.pg',0,0,'en',0,1),(41191,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_45.pg',0,0,'en',0,1),(41192,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3148,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_3_45.pg',0,0,'en',0,1),(41193,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_43.pg',0,0,'en',0,1),(41194,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_43.pg',0,0,'en',0,1),(41195,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_5.pg',0,0,'en',0,1),(41196,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_5.pg',0,0,'en',0,1),(41197,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_44.pg',0,0,'en',0,1),(41198,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_44.pg',0,0,'en',0,1),(41199,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_14.pg',0,0,'en',0,1),(41200,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_14.pg',0,0,'en',0,1),(41201,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_7.pg',0,0,'en',0,1),(41202,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_7.pg',0,0,'en',0,1),(41203,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_12.pg',0,0,'en',0,1),(41204,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_12.pg',0,0,'en',0,1),(41205,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_6.pg',0,0,'en',0,1),(41206,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_6.pg',0,0,'en',0,1),(41207,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_8.pg',0,0,'en',0,1),(41208,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_8.pg',0,0,'en',0,1),(41209,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_15.pg',0,0,'en',0,1),(41210,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_15.pg',0,0,'en',0,1),(41211,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_9.pg',0,0,'en',0,1),(41212,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_9.pg',0,0,'en',0,1),(41213,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_16.pg',0,0,'en',0,1),(41214,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_16.pg',0,0,'en',0,1),(41215,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_4.pg',0,0,'en',0,1),(41216,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_4.pg',0,0,'en',0,1),(41217,326,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_11.pg',0,0,'en',0,1),(41218,579,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3149,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_2_11.pg',0,0,'en',0,1),(41219,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_65.pg',0,0,'en',0,1),(41220,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_28.pg',0,0,'en',0,1),(41221,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_12.pg',0,0,'en',0,1),(41222,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_6.pg',0,0,'en',0,1),(41223,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_60.pg',0,0,'en',0,1),(41224,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_67.pg',0,0,'en',0,1),(41225,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_7.pg',0,0,'en',0,1),(41226,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_74.pg',0,0,'en',0,1),(41227,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_31.pg',0,0,'en',0,1),(41228,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_32.pg',0,0,'en',0,1),(41229,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_11.pg',0,0,'en',0,1),(41230,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_61.pg',0,0,'en',0,1),(41231,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_29.pg',0,0,'en',0,1),(41232,320,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_54.pg',0,0,'en',0,1),(41233,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_27.pg',0,0,'en',0,1),(41234,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_44.pg',0,0,'en',0,1),(41235,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_47.pg',0,0,'en',0,1),(41236,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_38.pg',0,0,'en',0,1),(41237,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_37.pg',0,0,'en',0,1),(41238,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_17.pg',0,0,'en',0,1),(41239,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3150,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_1_14.pg',0,0,'en',0,1),(41240,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_33.pg',0,0,'en',0,1),(41241,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_33.pg',0,0,'en',0,1),(41242,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_42.pg',0,0,'en',0,1),(41243,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_42.pg',0,0,'en',0,1),(41244,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_51.pg',0,0,'en',0,1),(41245,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_56.pg',0,0,'en',0,1),(41246,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_73.pg',0,0,'en',0,1),(41247,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_73.pg',0,0,'en',0,1),(41248,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_09.pg',0,0,'en',0,1),(41249,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_27.pg',0,0,'en',0,1),(41250,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_27.pg',0,0,'en',0,1),(41251,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_23.pg',0,0,'en',0,1),(41252,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_23.pg',0,0,'en',0,1),(41253,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_48.pg',0,0,'en',0,1),(41254,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_48.pg',0,0,'en',0,1),(41255,1531,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_06.pg',0,0,'en',0,1),(41256,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_54.pg',0,0,'en',0,1),(41257,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_25.pg',0,0,'en',0,1),(41258,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_25.pg',0,0,'en',0,1),(41259,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_57.pg',0,0,'en',0,1),(41260,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_60.pg',0,0,'en',0,1),(41261,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_60.pg',0,0,'en',0,1),(41262,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_50.pg',0,0,'en',0,1),(41263,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_26.pg',0,0,'en',0,1),(41264,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_26.pg',0,0,'en',0,1),(41265,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_36.pg',0,0,'en',0,1),(41266,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_36.pg',0,0,'en',0,1),(41267,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_08.pg',0,0,'en',0,1),(41268,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_52.pg',0,0,'en',0,1),(41269,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_46.pg',0,0,'en',0,1),(41270,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_46.pg',0,0,'en',0,1),(41271,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_22.pg',0,0,'en',0,1),(41272,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_22.pg',0,0,'en',0,1),(41273,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_53.pg',0,0,'en',0,1),(41274,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_35.pg',0,0,'en',0,1),(41275,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_35.pg',0,0,'en',0,1),(41276,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_29.pg',0,0,'en',0,1),(41277,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_29.pg',0,0,'en',0,1),(41278,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_67.pg',0,0,'en',0,1),(41279,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_67.pg',0,0,'en',0,1),(41280,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_28.pg',0,0,'en',0,1),(41281,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_28.pg',0,0,'en',0,1),(41282,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_24.pg',0,0,'en',0,1),(41283,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_24.pg',0,0,'en',0,1),(41284,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_40.pg',0,0,'en',0,1),(41285,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_40.pg',0,0,'en',0,1),(41286,1529,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_55.pg',0,0,'en',0,1),(41287,307,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_59.pg',0,0,'en',0,1),(41288,565,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_59.pg',0,0,'en',0,1),(41289,306,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_34.pg',0,0,'en',0,1),(41290,564,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3151,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_1_34.pg',0,0,'en',0,1),(41291,318,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_40.pg',0,0,'en',0,1),(41292,576,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_40.pg',0,0,'en',0,1),(41293,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_44.pg',0,0,'en',0,1),(41294,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_44.pg',0,0,'en',0,1),(41295,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_47.pg',0,0,'en',0,1),(41296,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_47.pg',0,0,'en',0,1),(41297,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_20.pg',0,0,'en',0,1),(41298,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_20.pg',0,0,'en',0,1),(41299,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_12.pg',0,0,'en',0,1),(41300,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_12.pg',0,0,'en',0,1),(41301,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_11.pg',0,0,'en',0,1),(41302,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_11.pg',0,0,'en',0,1),(41303,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_21.pg',0,0,'en',0,1),(41304,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_21.pg',0,0,'en',0,1),(41305,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_48.pg',0,0,'en',0,1),(41306,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_48.pg',0,0,'en',0,1),(41307,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_74.pg',0,0,'en',0,1),(41308,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_74.pg',0,0,'en',0,1),(41309,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_7.pg',0,0,'en',0,1),(41310,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_7.pg',0,0,'en',0,1),(41311,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_10.pg',0,0,'en',0,1),(41312,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_10.pg',0,0,'en',0,1),(41313,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_18.pg',0,0,'en',0,1),(41314,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_18.pg',0,0,'en',0,1),(41315,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_61.pg',0,0,'en',0,1),(41316,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_61.pg',0,0,'en',0,1),(41317,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_9.pg',0,0,'en',0,1),(41318,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_9.pg',0,0,'en',0,1),(41319,311,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_46.pg',0,0,'en',0,1),(41320,569,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_46.pg',0,0,'en',0,1),(41321,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_23.pg',0,0,'en',0,1),(41322,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_23.pg',0,0,'en',0,1),(41323,312,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_57.pg',0,0,'en',0,1),(41324,570,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_57.pg',0,0,'en',0,1),(41325,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_22.pg',0,0,'en',0,1),(41326,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_22.pg',0,0,'en',0,1),(41327,318,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_39.pg',0,0,'en',0,1),(41328,576,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_39.pg',0,0,'en',0,1),(41329,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_6.pg',0,0,'en',0,1),(41330,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_6.pg',0,0,'en',0,1),(41331,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_19.pg',0,0,'en',0,1),(41332,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_19.pg',0,0,'en',0,1),(41333,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_13.pg',0,0,'en',0,1),(41334,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_13.pg',0,0,'en',0,1),(41335,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_8.pg',0,0,'en',0,1),(41336,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_8.pg',0,0,'en',0,1),(41337,311,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_55.pg',0,0,'en',0,1),(41338,569,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3152,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_4_55.pg',0,0,'en',0,1),(41339,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_13.pg',0,0,'en',0,1),(41340,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_13.pg',0,0,'en',0,1),(41341,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_40.pg',0,0,'en',0,1),(41342,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_40.pg',0,0,'en',0,1),(41343,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_36.pg',0,0,'en',0,1),(41344,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_36.pg',0,0,'en',0,1),(41345,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_19.pg',0,0,'en',0,1),(41346,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_19.pg',0,0,'en',0,1),(41347,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_10.pg',0,0,'en',0,1),(41348,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_10.pg',0,0,'en',0,1),(41349,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_30.pg',0,0,'en',0,1),(41350,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_30.pg',0,0,'en',0,1),(41351,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_07.pg',0,0,'en',0,1),(41352,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_07.pg',0,0,'en',0,1),(41353,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_21.pg',0,0,'en',0,1),(41354,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_21.pg',0,0,'en',0,1),(41355,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_41.pg',0,0,'en',0,1),(41356,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_41.pg',0,0,'en',0,1),(41357,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_34.pg',0,0,'en',0,1),(41358,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_34.pg',0,0,'en',0,1),(41359,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_12.pg',0,0,'en',0,1),(41360,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_12.pg',0,0,'en',0,1),(41361,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_14.pg',0,0,'en',0,1),(41362,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_14.pg',0,0,'en',0,1),(41363,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_39.pg',0,0,'en',0,1),(41364,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_39.pg',0,0,'en',0,1),(41365,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_11.pg',0,0,'en',0,1),(41366,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_11.pg',0,0,'en',0,1),(41367,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_20.pg',0,0,'en',0,1),(41368,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_20.pg',0,0,'en',0,1),(41369,312,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_06.pg',0,0,'en',0,1),(41370,570,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_06.pg',0,0,'en',0,1),(41371,311,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_42.pg',0,0,'en',0,1),(41372,569,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3153,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_2_42.pg',0,0,'en',0,1),(41373,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_31.pg',0,0,'en',0,1),(41374,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_31.pg',0,0,'en',0,1),(41375,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_7.pg',0,0,'en',0,1),(41376,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_7.pg',0,0,'en',0,1),(41377,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_37.pg',0,0,'en',0,1),(41378,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_37.pg',0,0,'en',0,1),(41379,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_19.pg',0,0,'en',0,1),(41380,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_19.pg',0,0,'en',0,1),(41381,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_9.pg',0,0,'en',0,1),(41382,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_9.pg',0,0,'en',0,1),(41383,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_4.pg',0,0,'en',0,1),(41384,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_4.pg',0,0,'en',0,1),(41385,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_6.pg',0,0,'en',0,1),(41386,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_6.pg',0,0,'en',0,1),(41387,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_103.pg',0,0,'en',0,1),(41388,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_103.pg',0,0,'en',0,1),(41389,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_38.pg',0,0,'en',0,1),(41390,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_38.pg',0,0,'en',0,1),(41391,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_42.pg',0,0,'en',0,1),(41392,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_42.pg',0,0,'en',0,1),(41393,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_5.pg',0,0,'en',0,1),(41394,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_5.pg',0,0,'en',0,1),(41395,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_41.pg',0,0,'en',0,1),(41396,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_41.pg',0,0,'en',0,1),(41397,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_20.pg',0,0,'en',0,1),(41398,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_20.pg',0,0,'en',0,1),(41399,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_11.pg',0,0,'en',0,1),(41400,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_11.pg',0,0,'en',0,1),(41401,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_45.pg',0,0,'en',0,1),(41402,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_45.pg',0,0,'en',0,1),(41403,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_94.pg',0,0,'en',0,1),(41404,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_94.pg',0,0,'en',0,1),(41405,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_39.pg',0,0,'en',0,1),(41406,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_39.pg',0,0,'en',0,1),(41407,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_46.pg',0,0,'en',0,1),(41408,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_46.pg',0,0,'en',0,1),(41409,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_12.pg',0,0,'en',0,1),(41410,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_12.pg',0,0,'en',0,1),(41411,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_8.pg',0,0,'en',0,1),(41412,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_8.pg',0,0,'en',0,1),(41413,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_30.pg',0,0,'en',0,1),(41414,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_30.pg',0,0,'en',0,1),(41415,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_18.pg',0,0,'en',0,1),(41416,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_18.pg',0,0,'en',0,1),(41417,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_17.pg',0,0,'en',0,1),(41418,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_17.pg',0,0,'en',0,1),(41419,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_10.pg',0,0,'en',0,1),(41420,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_10.pg',0,0,'en',0,1),(41421,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_100.pg',0,0,'en',0,1),(41422,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_100.pg',0,0,'en',0,1),(41423,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_36.pg',0,0,'en',0,1),(41424,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_36.pg',0,0,'en',0,1),(41425,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_96.pg',0,0,'en',0,1),(41426,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_96.pg',0,0,'en',0,1),(41427,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_25.pg',0,0,'en',0,1),(41428,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_25.pg',0,0,'en',0,1),(41429,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_26.pg',0,0,'en',0,1),(41430,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_26.pg',0,0,'en',0,1),(41431,329,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_28.pg',0,0,'en',0,1),(41432,582,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3154,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_5_28.pg',0,0,'en',0,1),(41433,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_47.pg',0,0,'en',0,1),(41434,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_25.pg',0,0,'en',0,1),(41435,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_19.pg',0,0,'en',0,1),(41436,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_30.pg',0,0,'en',0,1),(41437,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_18.pg',0,0,'en',0,1),(41438,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_7.pg',0,0,'en',0,1),(41439,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_6.pg',0,0,'en',0,1),(41440,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_65.pg',0,0,'en',0,1),(41441,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_63.pg',0,0,'en',0,1),(41442,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_31.pg',0,0,'en',0,1),(41443,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_12.pg',0,0,'en',0,1),(41444,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_33.pg',0,0,'en',0,1),(41445,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_23.pg',0,0,'en',0,1),(41446,324,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_29.pg',0,0,'en',0,1),(41447,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_39.pg',0,0,'en',0,1),(41448,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_52.pg',0,0,'en',0,1),(41449,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_32.pg',0,0,'en',0,1),(41450,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_10.pg',0,0,'en',0,1),(41451,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_40.pg',0,0,'en',0,1),(41452,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_16.pg',0,0,'en',0,1),(41453,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_48.pg',0,0,'en',0,1),(41454,323,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_55.pg',0,0,'en',0,1),(41455,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_21.pg',0,0,'en',0,1),(41456,321,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_38.pg',0,0,'en',0,1),(41457,322,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3155,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_2_34.pg',0,0,'en',0,1),(41458,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_20.pg',0,0,'en',0,1),(41459,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_20.pg',0,0,'en',0,1),(41460,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_20.pg',0,0,'en',0,1),(41461,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_16.pg',0,0,'en',0,1),(41462,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_16.pg',0,0,'en',0,1),(41463,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_16.pg',0,0,'en',0,1),(41464,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_30.pg',0,0,'en',0,1),(41465,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_30.pg',0,0,'en',0,1),(41466,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_30.pg',0,0,'en',0,1),(41467,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_18.pg',0,0,'en',0,1),(41468,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_18.pg',0,0,'en',0,1),(41469,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_18.pg',0,0,'en',0,1),(41470,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_23.pg',0,0,'en',0,1),(41471,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_23.pg',0,0,'en',0,1),(41472,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_23.pg',0,0,'en',0,1),(41473,335,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_31.pg',0,0,'en',0,1),(41474,131,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_31.pg',0,0,'en',0,1),(41475,588,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3156,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_4_31.pg',0,0,'en',0,1),(41476,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_13.pg',0,0,'en',0,1),(41477,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_13.pg',0,0,'en',0,1),(41478,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_24.pg',0,0,'en',0,1),(41479,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_24.pg',0,0,'en',0,1),(41480,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_18.pg',0,0,'en',0,1),(41481,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_18.pg',0,0,'en',0,1),(41482,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_39.pg',0,0,'en',0,1),(41483,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_39.pg',0,0,'en',0,1),(41484,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_32.pg',0,0,'en',0,1),(41485,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_32.pg',0,0,'en',0,1),(41486,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_31.pg',0,0,'en',0,1),(41487,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_31.pg',0,0,'en',0,1),(41488,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_19.pg',0,0,'en',0,1),(41489,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_19.pg',0,0,'en',0,1),(41490,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_12.pg',0,0,'en',0,1),(41491,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_12.pg',0,0,'en',0,1),(41492,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_06.pg',0,0,'en',0,1),(41493,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_06.pg',0,0,'en',0,1),(41494,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_22.pg',0,0,'en',0,1),(41495,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_22.pg',0,0,'en',0,1),(41496,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_35.pg',0,0,'en',0,1),(41497,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_35.pg',0,0,'en',0,1),(41498,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_07.pg',0,0,'en',0,1),(41499,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_07.pg',0,0,'en',0,1),(41500,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_40.pg',0,0,'en',0,1),(41501,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_40.pg',0,0,'en',0,1),(41502,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_36.pg',0,0,'en',0,1),(41503,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_36.pg',0,0,'en',0,1),(41504,329,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_38.pg',0,0,'en',0,1),(41505,582,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3157,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_1_38.pg',0,0,'en',0,1),(41506,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_17.pg',0,0,'en',0,1),(41507,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_17.pg',0,0,'en',0,1),(41508,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_52.pg',0,0,'en',0,1),(41509,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_52.pg',0,0,'en',0,1),(41510,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_34.pg',0,0,'en',0,1),(41511,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_34.pg',0,0,'en',0,1),(41512,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_22.pg',0,0,'en',0,1),(41513,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_22.pg',0,0,'en',0,1),(41514,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_21.pg',0,0,'en',0,1),(41515,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_21.pg',0,0,'en',0,1),(41516,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_16.pg',0,0,'en',0,1),(41517,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_16.pg',0,0,'en',0,1),(41518,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_7.pg',0,0,'en',0,1),(41519,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_7.pg',0,0,'en',0,1),(41520,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_20.pg',0,0,'en',0,1),(41521,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_20.pg',0,0,'en',0,1),(41522,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_91.pg',0,0,'en',0,1),(41523,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_91.pg',0,0,'en',0,1),(41524,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_26.pg',0,0,'en',0,1),(41525,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_26.pg',0,0,'en',0,1),(41526,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_43.pg',0,0,'en',0,1),(41527,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_43.pg',0,0,'en',0,1),(41528,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_19.pg',0,0,'en',0,1),(41529,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_19.pg',0,0,'en',0,1),(41530,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_28.pg',0,0,'en',0,1),(41531,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_28.pg',0,0,'en',0,1),(41532,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_11.pg',0,0,'en',0,1),(41533,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_11.pg',0,0,'en',0,1),(41534,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_42.pg',0,0,'en',0,1),(41535,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_42.pg',0,0,'en',0,1),(41536,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_10.pg',0,0,'en',0,1),(41537,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_10.pg',0,0,'en',0,1),(41538,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_50.pg',0,0,'en',0,1),(41539,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_50.pg',0,0,'en',0,1),(41540,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_15.pg',0,0,'en',0,1),(41541,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_15.pg',0,0,'en',0,1),(41542,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_35.pg',0,0,'en',0,1),(41543,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_35.pg',0,0,'en',0,1),(41544,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_18.pg',0,0,'en',0,1),(41545,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_18.pg',0,0,'en',0,1),(41546,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_56.pg',0,0,'en',0,1),(41547,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_56.pg',0,0,'en',0,1),(41548,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_13.pg',0,0,'en',0,1),(41549,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_13.pg',0,0,'en',0,1),(41550,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_27.pg',0,0,'en',0,1),(41551,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_27.pg',0,0,'en',0,1),(41552,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_14.pg',0,0,'en',0,1),(41553,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_14.pg',0,0,'en',0,1),(41554,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_44.pg',0,0,'en',0,1),(41555,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_44.pg',0,0,'en',0,1),(41556,310,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_6.pg',0,0,'en',0,1),(41557,568,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_6.pg',0,0,'en',0,1),(41558,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_23.pg',0,0,'en',0,1),(41559,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_23.pg',0,0,'en',0,1),(41560,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_36.pg',0,0,'en',0,1),(41561,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_36.pg',0,0,'en',0,1),(41562,308,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_29.pg',0,0,'en',0,1),(41563,566,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_29.pg',0,0,'en',0,1),(41564,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_92.pg',0,0,'en',0,1),(41565,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_92.pg',0,0,'en',0,1),(41566,309,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_12.pg',0,0,'en',0,1),(41567,567,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3158,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_3_12.pg',0,0,'en',0,1),(41568,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_14.pg',0,0,'en',0,1),(41569,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_10.pg',0,0,'en',0,1),(41570,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_19.pg',0,0,'en',0,1),(41571,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_17.pg',0,0,'en',0,1),(41572,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_13.pg',0,0,'en',0,1),(41573,319,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_54.pg',0,0,'en',0,1),(41574,577,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_54.pg',0,0,'en',0,1),(41575,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_8.pg',0,0,'en',0,1),(41576,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_24.pg',0,0,'en',0,1),(41577,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_24.pg',0,0,'en',0,1),(41578,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_26.pg',0,0,'en',0,1),(41579,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_26.pg',0,0,'en',0,1),(41580,319,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_53.pg',0,0,'en',0,1),(41581,577,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_53.pg',0,0,'en',0,1),(41582,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_31.pg',0,0,'en',0,1),(41583,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_31.pg',0,0,'en',0,1),(41584,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_9.pg',0,0,'en',0,1),(41585,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_11.pg',0,0,'en',0,1),(41586,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_32.pg',0,0,'en',0,1),(41587,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_32.pg',0,0,'en',0,1),(41588,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_25.pg',0,0,'en',0,1),(41589,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_25.pg',0,0,'en',0,1),(41590,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_18.pg',0,0,'en',0,1),(41591,1531,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_12.pg',0,0,'en',0,1),(41592,314,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_30.pg',0,0,'en',0,1),(41593,572,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3159,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_8_3_30.pg',0,0,'en',0,1),(41594,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_29.pg',0,0,'en',0,1),(41595,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_29.pg',0,0,'en',0,1),(41596,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_29.pg',0,0,'en',0,1),(41597,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_44.pg',0,0,'en',0,1),(41598,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_44.pg',0,0,'en',0,1),(41599,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_44.pg',0,0,'en',0,1),(41600,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_13.pg',0,0,'en',0,1),(41601,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_13.pg',0,0,'en',0,1),(41602,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_13.pg',0,0,'en',0,1),(41603,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_21.pg',0,0,'en',0,1),(41604,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_21.pg',0,0,'en',0,1),(41605,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_21.pg',0,0,'en',0,1),(41606,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_8.pg',0,0,'en',0,1),(41607,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_8.pg',0,0,'en',0,1),(41608,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_8.pg',0,0,'en',0,1),(41609,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_20.pg',0,0,'en',0,1),(41610,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_20.pg',0,0,'en',0,1),(41611,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_20.pg',0,0,'en',0,1),(41612,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_37.pg',0,0,'en',0,1),(41613,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_37.pg',0,0,'en',0,1),(41614,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_37.pg',0,0,'en',0,1),(41615,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_16.pg',0,0,'en',0,1),(41616,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_16.pg',0,0,'en',0,1),(41617,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_16.pg',0,0,'en',0,1),(41618,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_35.pg',0,0,'en',0,1),(41619,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_35.pg',0,0,'en',0,1),(41620,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_35.pg',0,0,'en',0,1),(41621,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_6.pg',0,0,'en',0,1),(41622,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_6.pg',0,0,'en',0,1),(41623,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_6.pg',0,0,'en',0,1),(41624,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_42.pg',0,0,'en',0,1),(41625,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_42.pg',0,0,'en',0,1),(41626,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_42.pg',0,0,'en',0,1),(41627,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_31.pg',0,0,'en',0,1),(41628,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_31.pg',0,0,'en',0,1),(41629,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_31.pg',0,0,'en',0,1),(41630,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_39.pg',0,0,'en',0,1),(41631,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_39.pg',0,0,'en',0,1),(41632,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_39.pg',0,0,'en',0,1),(41633,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_41.pg',0,0,'en',0,1),(41634,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_41.pg',0,0,'en',0,1),(41635,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_41.pg',0,0,'en',0,1),(41636,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_23.pg',0,0,'en',0,1),(41637,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_23.pg',0,0,'en',0,1),(41638,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_23.pg',0,0,'en',0,1),(41639,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_19.pg',0,0,'en',0,1),(41640,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_19.pg',0,0,'en',0,1),(41641,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_19.pg',0,0,'en',0,1),(41642,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_17.pg',0,0,'en',0,1),(41643,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_17.pg',0,0,'en',0,1),(41644,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_17.pg',0,0,'en',0,1),(41645,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_15.pg',0,0,'en',0,1),(41646,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_15.pg',0,0,'en',0,1),(41647,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_15.pg',0,0,'en',0,1),(41648,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_38.pg',0,0,'en',0,1),(41649,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_38.pg',0,0,'en',0,1),(41650,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_38.pg',0,0,'en',0,1),(41651,334,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_25.pg',0,0,'en',0,1),(41652,130,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_25.pg',0,0,'en',0,1),(41653,587,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3160,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_5_25.pg',0,0,'en',0,1),(41654,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_41.pg',0,0,'en',0,1),(41655,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_41.pg',0,0,'en',0,1),(41656,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_41.pg',0,0,'en',0,1),(41657,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_56.pg',0,0,'en',0,1),(41658,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_56.pg',0,0,'en',0,1),(41659,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_56.pg',0,0,'en',0,1),(41660,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_19.pg',0,0,'en',0,1),(41661,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_19.pg',0,0,'en',0,1),(41662,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_19.pg',0,0,'en',0,1),(41663,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_39.pg',0,0,'en',0,1),(41664,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_39.pg',0,0,'en',0,1),(41665,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_39.pg',0,0,'en',0,1),(41666,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_51.pg',0,0,'en',0,1),(41667,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_51.pg',0,0,'en',0,1),(41668,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_51.pg',0,0,'en',0,1),(41669,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_53.pg',0,0,'en',0,1),(41670,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_53.pg',0,0,'en',0,1),(41671,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_53.pg',0,0,'en',0,1),(41672,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_28.pg',0,0,'en',0,1),(41673,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_28.pg',0,0,'en',0,1),(41674,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_28.pg',0,0,'en',0,1),(41675,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_16.pg',0,0,'en',0,1),(41676,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_16.pg',0,0,'en',0,1),(41677,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_16.pg',0,0,'en',0,1),(41678,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_69.pg',0,0,'en',0,1),(41679,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_69.pg',0,0,'en',0,1),(41680,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_69.pg',0,0,'en',0,1),(41681,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_9.pg',0,0,'en',0,1),(41682,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_9.pg',0,0,'en',0,1),(41683,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_9.pg',0,0,'en',0,1),(41684,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_43.pg',0,0,'en',0,1),(41685,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_43.pg',0,0,'en',0,1),(41686,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_43.pg',0,0,'en',0,1),(41687,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_11.pg',0,0,'en',0,1),(41688,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_11.pg',0,0,'en',0,1),(41689,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_11.pg',0,0,'en',0,1),(41690,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_2.pg',0,0,'en',0,1),(41691,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_2.pg',0,0,'en',0,1),(41692,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_2.pg',0,0,'en',0,1),(41693,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_32.pg',0,0,'en',0,1),(41694,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_32.pg',0,0,'en',0,1),(41695,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_32.pg',0,0,'en',0,1),(41696,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_33.pg',0,0,'en',0,1),(41697,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_33.pg',0,0,'en',0,1),(41698,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_33.pg',0,0,'en',0,1),(41699,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_67.pg',0,0,'en',0,1),(41700,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_67.pg',0,0,'en',0,1),(41701,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_67.pg',0,0,'en',0,1),(41702,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_1.pg',0,0,'en',0,1),(41703,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_1.pg',0,0,'en',0,1),(41704,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_EX16_1.pg',0,0,'en',0,1),(41705,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_17.pg',0,0,'en',0,1),(41706,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_17.pg',0,0,'en',0,1),(41707,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_17.pg',0,0,'en',0,1),(41708,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_20.pg',0,0,'en',0,1),(41709,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_20.pg',0,0,'en',0,1),(41710,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_20.pg',0,0,'en',0,1),(41711,605,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_30.pg',0,0,'en',0,1),(41712,138,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_30.pg',0,0,'en',0,1),(41713,428,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_30.pg',0,0,'en',0,1),(41714,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_61.pg',0,0,'en',0,1),(41715,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_61.pg',0,0,'en',0,1),(41716,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_61.pg',0,0,'en',0,1),(41717,604,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_58.pg',0,0,'en',0,1),(41718,137,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_58.pg',0,0,'en',0,1),(41719,427,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3161,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_10_8_58.pg',0,0,'en',0,1),(41720,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_13.pg',0,0,'en',0,1),(41721,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_13.pg',0,0,'en',0,1),(41722,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_9.pg',0,0,'en',0,1),(41723,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_9.pg',0,0,'en',0,1),(41724,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_33.pg',0,0,'en',0,1),(41725,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_33.pg',0,0,'en',0,1),(41726,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_6.pg',0,0,'en',0,1),(41727,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_6.pg',0,0,'en',0,1),(41728,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_32.pg',0,0,'en',0,1),(41729,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_32.pg',0,0,'en',0,1),(41730,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_29.pg',0,0,'en',0,1),(41731,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_29.pg',0,0,'en',0,1),(41732,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_8.pg',0,0,'en',0,1),(41733,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_8.pg',0,0,'en',0,1),(41734,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_16.pg',0,0,'en',0,1),(41735,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_16.pg',0,0,'en',0,1),(41736,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_18.pg',0,0,'en',0,1),(41737,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_18.pg',0,0,'en',0,1),(41738,328,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_30.pg',0,0,'en',0,1),(41739,581,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_30.pg',0,0,'en',0,1),(41740,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_10.pg',0,0,'en',0,1),(41741,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_10.pg',0,0,'en',0,1),(41742,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_31.pg',0,0,'en',0,1),(41743,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_31.pg',0,0,'en',0,1),(41744,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_7.pg',0,0,'en',0,1),(41745,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_7.pg',0,0,'en',0,1),(41746,327,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_5.pg',0,0,'en',0,1),(41747,580,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3162,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_1_5.pg',0,0,'en',0,1),(41748,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_31.pg',0,0,'en',0,1),(41749,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_31.pg',0,0,'en',0,1),(41750,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_32.pg',0,0,'en',0,1),(41751,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_32.pg',0,0,'en',0,1),(41752,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_27.pg',0,0,'en',0,1),(41753,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_27.pg',0,0,'en',0,1),(41754,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_25.pg',0,0,'en',0,1),(41755,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_25.pg',0,0,'en',0,1),(41756,319,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_44.pg',0,0,'en',0,1),(41757,577,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_44.pg',0,0,'en',0,1),(41758,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_26.pg',0,0,'en',0,1),(41759,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_26.pg',0,0,'en',0,1),(41760,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_10.pg',0,0,'en',0,1),(41761,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_10.pg',0,0,'en',0,1),(41762,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_23.pg',0,0,'en',0,1),(41763,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_23.pg',0,0,'en',0,1),(41764,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_22.pg',0,0,'en',0,1),(41765,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_22.pg',0,0,'en',0,1),(41766,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_13.pg',0,0,'en',0,1),(41767,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_13.pg',0,0,'en',0,1),(41768,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_12.pg',0,0,'en',0,1),(41769,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_12.pg',0,0,'en',0,1),(41770,319,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_52.pg',0,0,'en',0,1),(41771,577,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_52.pg',0,0,'en',0,1),(41772,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_11.pg',0,0,'en',0,1),(41773,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_11.pg',0,0,'en',0,1),(41774,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_24.pg',0,0,'en',0,1),(41775,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_24.pg',0,0,'en',0,1),(41776,310,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_06.pg',0,0,'en',0,1),(41777,568,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_06.pg',0,0,'en',0,1),(41778,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_21.pg',0,0,'en',0,1),(41779,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_21.pg',0,0,'en',0,1),(41780,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_18.pg',0,0,'en',0,1),(41781,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_18.pg',0,0,'en',0,1),(41782,319,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_48.pg',0,0,'en',0,1),(41783,577,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_48.pg',0,0,'en',0,1),(41784,319,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_42.pg',0,0,'en',0,1),(41785,577,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_42.pg',0,0,'en',0,1),(41786,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_30.pg',0,0,'en',0,1),(41787,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_30.pg',0,0,'en',0,1),(41788,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_19.pg',0,0,'en',0,1),(41789,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_19.pg',0,0,'en',0,1),(41790,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_34.pg',0,0,'en',0,1),(41791,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_34.pg',0,0,'en',0,1),(41792,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_29.pg',0,0,'en',0,1),(41793,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_29.pg',0,0,'en',0,1),(41794,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_28.pg',0,0,'en',0,1),(41795,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_28.pg',0,0,'en',0,1),(41796,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_17.pg',0,0,'en',0,1),(41797,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_17.pg',0,0,'en',0,1),(41798,318,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_20.pg',0,0,'en',0,1),(41799,576,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3163,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_7_2_20.pg',0,0,'en',0,1),(41800,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_7.pg',0,0,'en',0,1),(41801,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_7.pg',0,0,'en',0,1),(41802,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_14.pg',0,0,'en',0,1),(41803,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_14.pg',0,0,'en',0,1),(41804,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_24.pg',0,0,'en',0,1),(41805,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_24.pg',0,0,'en',0,1),(41806,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_9.pg',0,0,'en',0,1),(41807,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_9.pg',0,0,'en',0,1),(41808,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_31.pg',0,0,'en',0,1),(41809,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_31.pg',0,0,'en',0,1),(41810,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_5.pg',0,0,'en',0,1),(41811,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_5.pg',0,0,'en',0,1),(41812,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_13.pg',0,0,'en',0,1),(41813,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_13.pg',0,0,'en',0,1),(41814,325,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_28.pg',0,0,'en',0,1),(41815,578,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3164,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_9_3_28.pg',0,0,'en',0,1),(41816,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_1.pg',0,0,'en',0,1),(41817,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_1.pg',0,0,'en',0,1),(41818,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Square_binomial_1.pg',0,0,'en',0,1),(41819,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Square_binomial_1.pg',0,0,'en',0,1),(41820,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_Monomial_1.pg',0,0,'en',0,1),(41821,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_Monomial_1.pg',0,0,'en',0,1),(41822,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_Monomial_2.pg',0,0,'en',0,1),(41823,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_Monomial_2.pg',0,0,'en',0,1),(41824,1525,191,_binary 'Red Rocks Community College','Contrib',3165,'Divide_Monomial_3.pg',0,0,'en',0,1),(41825,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_2.pg',0,0,'en',0,1),(41826,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Multiply_2.pg',0,0,'en',0,1),(41827,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Diff_Squares_2.pg',0,0,'en',0,1),(41828,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Diff_Squares_2.pg',0,0,'en',0,1),(41829,248,191,_binary 'Red Rocks Community College','Contrib',3165,'Diff_Squares_1.pg',0,0,'en',0,1),(41830,506,191,_binary 'Red Rocks Community College','Contrib',3165,'Diff_Squares_1.pg',0,0,'en',0,1),(41831,1525,191,_binary 'Red Rocks Community College','Contrib',3165,'Divide_Monomial_2.pg',0,0,'en',0,1),(41832,1525,191,_binary 'Red Rocks Community College','Contrib',3165,'Divide_Monomial_1.pg',0,0,'en',0,1),(41833,203,143,_binary 'PCC','Contrib',3166,'OpenStax_IA_6.3_200.pg',2976,2,'en',0,1),(41834,203,143,_binary 'PCC','Contrib',3166,'OpenStax_IA_6.3_204.pg',2976,2,'en',0,1),(41835,203,143,_binary 'PCC','Contrib',3166,'OpenStax_IA_6.3_206.pg',2976,2,'en',0,1),(41836,201,143,_binary 'PCC','Contrib',3167,'OpenStax_IA_6.1_55.pg',2964,2,'en',0,1),(41837,1526,191,_binary 'Red Rocks Community College','Contrib',3167,'OpenStax_IA_6.1_23.pg',0,0,'en',0,0),(41838,201,143,_binary 'PCC','Contrib',3167,'OpenStax_IA_6.1_53.pg',2964,2,'en',0,1),(41839,1526,191,_binary 'Red Rocks Community College','Contrib',3167,'OpenStax_IA_6.1_25.pg',0,0,'en',0,0),(41840,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_307.pg',0,0,'en',0,1),(41841,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_307.pg',0,0,'en',0,1),(41842,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_317.pg',0,0,'en',0,1),(41843,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_317.pg',0,0,'en',0,1),(41844,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_329.pg',0,0,'en',0,1),(41845,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_329.pg',0,0,'en',0,1),(41846,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_283.pg',0,0,'en',0,1),(41847,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_283.pg',0,0,'en',0,1),(41848,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_308.pg',0,0,'en',0,1),(41849,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_308.pg',0,0,'en',0,1),(41850,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_297.pg',0,0,'en',0,1),(41851,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_297.pg',0,0,'en',0,1),(41852,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_333.pg',0,0,'en',0,1),(41853,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_333.pg',0,0,'en',0,1),(41854,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_285.pg',0,0,'en',0,1),(41855,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_285.pg',0,0,'en',0,1),(41856,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_296.pg',0,0,'en',0,1),(41857,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_296.pg',0,0,'en',0,1),(41858,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_313.pg',0,0,'en',0,1),(41859,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_313.pg',0,0,'en',0,1),(41860,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_295.pg',0,0,'en',0,1),(41861,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_295.pg',0,0,'en',0,1),(41862,238,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_289.pg',0,0,'en',0,1),(41863,496,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3168,'OpenStax_IA_6.5_289.pg',0,0,'en',0,1),(41864,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_154.pg',0,0,'en',0,1),(41865,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_154.pg',0,0,'en',0,1),(41866,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_85.pg',0,0,'en',0,1),(41867,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_85.pg',0,0,'en',0,1),(41868,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_95.pg',0,0,'en',0,1),(41869,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_95.pg',0,0,'en',0,1),(41870,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_116.pg',0,0,'en',0,1),(41871,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_116.pg',0,0,'en',0,1),(41872,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_92.pg',0,0,'en',0,1),(41873,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_92.pg',0,0,'en',0,1),(41874,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_120.pg',0,0,'en',0,1),(41875,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_120.pg',0,0,'en',0,1),(41876,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_81.pg',0,0,'en',0,1),(41877,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_81.pg',0,0,'en',0,1),(41878,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_126.pg',0,0,'en',0,1),(41879,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_126.pg',0,0,'en',0,1),(41880,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_132.pg',0,0,'en',0,1),(41881,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_132.pg',0,0,'en',0,1),(41882,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_86.pg',0,0,'en',0,1),(41883,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_86.pg',0,0,'en',0,1),(41884,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_109.pg',0,0,'en',0,1),(41885,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_109.pg',0,0,'en',0,1),(41886,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_136.pg',0,0,'en',0,1),(41887,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_136.pg',0,0,'en',0,1),(41888,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_150.pg',0,0,'en',0,1),(41889,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.3_150.pg',0,0,'en',0,1),(41890,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_112.pg',0,0,'en',0,1),(41891,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_112.pg',0,0,'en',0,1),(41892,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_88.pg',0,0,'en',0,1),(41893,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_88.pg',0,0,'en',0,1),(41894,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_73.pg',0,0,'en',0,1),(41895,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3169,'OpenStax_IA_4.2_73.pg',0,0,'en',0,1),(41896,1532,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3170,'OpenStax_IA_8.8_413.pg',0,0,'en',0,1),(41897,1532,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3170,'OpenStax_IA_8.8_411.pg',0,0,'en',0,1),(41898,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_5.pg',0,0,'en',0,1),(41899,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_5.pg',0,0,'en',0,1),(41900,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_2.pg',0,0,'en',0,1),(41901,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_2.pg',0,0,'en',0,1),(41902,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_1.pg',0,0,'en',0,1),(41903,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_1.pg',0,0,'en',0,1),(41904,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_7.pg',0,0,'en',0,1),(41905,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_7.pg',0,0,'en',0,1),(41906,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_6.pg',0,0,'en',0,1),(41907,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_6.pg',0,0,'en',0,1),(41908,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_4.pg',0,0,'en',0,1),(41909,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_4.pg',0,0,'en',0,1),(41910,239,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_3.pg',0,0,'en',0,1),(41911,497,191,_binary 'RRCC, Colorado Community College System','Contrib',3171,'OpenStax_IA_9.2_CompleteSq_3.pg',0,0,'en',0,1),(41912,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_330.pg',0,0,'en',0,1),(41913,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_330.pg',0,0,'en',0,1),(41914,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_Functions1.pg',0,0,'en',0,1),(41915,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_Functions1.pg',0,0,'en',0,1),(41916,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_331.pg',0,0,'en',0,1),(41917,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_331.pg',0,0,'en',0,1),(41918,206,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_Functions2.pg',0,0,'en',0,1),(41919,464,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3172,'OpenStax_IA_3.5_Functions2.pg',0,0,'en',0,1),(41920,203,191,_binary 'Red Rocks Community College','Contrib',3173,'OpenStax_IA_6.4_263.pg',0,0,'en',0,0),(41921,203,194,_binary 'Red Rocks Community College','Contrib',3173,'OpenStax_IA_6.4_260.pg',0,0,'en',0,0),(41922,203,194,_binary 'Red Rocks Community College','Contrib',3173,'OpenStax_IA_6.4_249.pg',0,0,'en',0,0),(41923,203,194,_binary 'Red Rocks Community College','Contrib',3173,'OpenStax_IA_6.4_242.pg',0,0,'en',0,0),(41924,203,194,_binary 'Red Rocks Community College','Contrib',3173,'OpenStax_IA_6.4_235.pg',0,0,'en',0,0),(41925,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_8.pg',0,0,'en',0,1),(41926,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_8.pg',0,0,'en',0,1),(41927,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_6.pg',0,0,'en',0,1),(41928,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_6.pg',0,0,'en',0,1),(41929,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_3.pg',0,0,'en',0,1),(41930,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_3.pg',0,0,'en',0,1),(41931,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_7.pg',0,0,'en',0,1),(41932,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_7.pg',0,0,'en',0,1),(41933,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_4.pg',0,0,'en',0,1),(41934,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_4.pg',0,0,'en',0,1),(41935,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_1.pg',0,0,'en',0,1),(41936,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_1.pg',0,0,'en',0,1),(41937,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_5.pg',0,0,'en',0,1),(41938,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_5.pg',0,0,'en',0,1),(41939,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_9.pg',0,0,'en',0,1),(41940,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_9.pg',0,0,'en',0,1),(41941,276,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_2.pg',0,0,'en',0,1),(41942,534,195,_binary 'Red Rocks Community College','Contrib',3174,'Rational_Equations_2.pg',0,0,'en',0,1),(41943,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_309.pg',0,0,'en',0,1),(41944,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_309.pg',0,0,'en',0,1),(41945,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_311.pg',0,0,'en',0,1),(41946,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_311.pg',0,0,'en',0,1),(41947,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_285.pg',0,0,'en',0,1),(41948,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_285.pg',0,0,'en',0,1),(41949,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_312.pg',0,0,'en',0,1),(41950,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_312.pg',0,0,'en',0,1),(41951,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_287.pg',0,0,'en',0,1),(41952,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_287.pg',0,0,'en',0,1),(41953,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_306.pg',0,0,'en',0,1),(41954,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_306.pg',0,0,'en',0,1),(41955,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_298.pg',0,0,'en',0,1),(41956,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3175,'OpenStax_IA_7.5_298.pg',0,0,'en',0,1),(41957,242,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3176,'OpenStax_IA_9.1_11.pg',0,0,'en',0,1),(41958,500,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3176,'OpenStax_IA_9.1_11.pg',0,0,'en',0,1),(41959,242,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_9.pg',0,0,'en',0,1),(41960,500,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_9.pg',0,0,'en',0,1),(41961,242,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_27.pg',0,0,'en',0,1),(41962,500,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_27.pg',0,0,'en',0,1),(41963,242,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3176,'OpenStax_IA_9.1_35.pg',0,0,'en',0,1),(41964,500,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3176,'OpenStax_IA_9.1_35.pg',0,0,'en',0,1),(41965,242,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_31.pg',0,0,'en',0,1),(41966,500,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_31.pg',0,0,'en',0,1),(41967,242,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3176,'OpenStax_IA_9.1_15.pg',0,0,'en',0,1),(41968,500,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3176,'OpenStax_IA_9.1_15.pg',0,0,'en',0,1),(41969,242,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_33.pg',0,0,'en',0,1),(41970,500,191,_binary 'Red Rocks Community College','Contrib',3176,'OpenStax_IA_9.1_33.pg',0,0,'en',0,1),(41971,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_209.pg',0,0,'en',0,1),(41972,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_209.pg',0,0,'en',0,1),(41973,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_195.pg',0,0,'en',0,1),(41974,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_195.pg',0,0,'en',0,1),(41975,246,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_201.pg',0,0,'en',0,1),(41976,504,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_201.pg',0,0,'en',0,1),(41977,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_213.pg',0,0,'en',0,1),(41978,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_213.pg',0,0,'en',0,1),(41979,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_216.pg',0,0,'en',0,1),(41980,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_216.pg',0,0,'en',0,1),(41981,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_207.pg',0,0,'en',0,1),(41982,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_207.pg',0,0,'en',0,1),(41983,246,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_203.pg',0,0,'en',0,1),(41984,504,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3177,'OpenStax_IA_9.5_203.pg',0,0,'en',0,1),(41985,202,191,_binary 'Red Rocks Community College','Contrib',3178,'OpenStax_IA_6.2_121.pg',0,0,'en',0,0),(41986,202,191,_binary 'Red Rocks Community College','Contrib',3178,'OpenStax_IA_6.2_109.pg',0,0,'en',0,0),(41987,202,191,_binary 'Red Rocks Community College','Contrib',3178,'OpenStax_IA_6.2_119.pg',0,0,'en',0,0),(41988,202,191,_binary 'Red Rocks Community College','Contrib',3178,'OpenStax_IA_6.2_97.pg',0,0,'en',0,0),(41989,202,191,_binary 'Red Rocks Community College','Contrib',3178,'OpenStax_IA_6.2_99.pg',0,0,'en',0,0),(41990,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_33.pg',0,0,'en',0,1),(41991,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_33.pg',0,0,'en',0,1),(41992,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_30.pg',0,0,'en',0,1),(41993,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_30.pg',0,0,'en',0,1),(41994,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_57.pg',0,0,'en',0,1),(41995,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_57.pg',0,0,'en',0,1),(41996,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_25.pg',0,0,'en',0,1),(41997,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_25.pg',0,0,'en',0,1),(41998,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_31.pg',0,0,'en',0,1),(41999,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_31.pg',0,0,'en',0,1),(42000,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_50.pg',0,0,'en',0,1),(42001,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_50.pg',0,0,'en',0,1),(42002,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_49.pg',0,0,'en',0,1),(42003,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_49.pg',0,0,'en',0,1),(42004,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_48.pg',0,0,'en',0,1),(42005,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_48.pg',0,0,'en',0,1),(42006,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_40.pg',0,0,'en',0,1),(42007,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_40.pg',0,0,'en',0,1),(42008,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_6.pg',0,0,'en',0,1),(42009,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_6.pg',0,0,'en',0,1),(42010,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_44.pg',0,0,'en',0,1),(42011,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_44.pg',0,0,'en',0,1),(42012,268,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_5.pg',0,0,'en',0,1),(42013,526,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_5.pg',0,0,'en',0,1),(42014,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_56.pg',0,0,'en',0,1),(42015,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_56.pg',0,0,'en',0,1),(42016,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_34.pg',0,0,'en',0,1),(42017,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_34.pg',0,0,'en',0,1),(42018,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_47.pg',0,0,'en',0,1),(42019,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_47.pg',0,0,'en',0,1),(42020,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_51.pg',0,0,'en',0,1),(42021,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_51.pg',0,0,'en',0,1),(42022,268,198,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_41.pg',0,0,'en',0,1),(42023,526,198,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_41.pg',0,0,'en',0,1),(42024,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_61.pg',0,0,'en',0,1),(42025,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_61.pg',0,0,'en',0,1),(42026,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_32.pg',0,0,'en',0,1),(42027,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3179,'OpenStax_IA_4.1_32.pg',0,0,'en',0,1),(42028,207,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_385.pg',0,0,'en',0,1),(42029,465,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_385.pg',0,0,'en',0,1),(42030,208,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_341.pg',0,0,'en',0,1),(42031,466,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_341.pg',0,0,'en',0,1),(42032,208,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_373.pg',0,0,'en',0,1),(42033,466,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_373.pg',0,0,'en',0,1),(42034,207,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_383.pg',0,0,'en',0,1),(42035,465,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_383.pg',0,0,'en',0,1),(42036,207,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_379.pg',0,0,'en',0,1),(42037,465,191,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3180,'OpenStax_IA_3.6_379.pg',0,0,'en',0,1),(42038,240,191,_binary 'Red Rocks Community College','Contrib',3181,'OpenStax_IA_9.3_135.pg',0,0,'en',0,1),(42039,498,191,_binary 'Red Rocks Community College','Contrib',3181,'OpenStax_IA_9.3_135.pg',0,0,'en',0,1),(42040,240,191,_binary 'Red Rocks Community College','Contrib',3181,'OpenStax_IA_9.3_137.pg',0,0,'en',0,1),(42041,498,191,_binary 'Red Rocks Community College','Contrib',3181,'OpenStax_IA_9.3_137.pg',0,0,'en',0,1),(42042,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_206.pg',0,0,'en',0,0),(42043,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_215.pg',0,0,'en',0,0),(42044,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_210.pg',0,0,'en',0,0),(42045,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_218.pg',0,0,'en',0,0),(42046,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_212.pg',0,0,'en',0,0),(42047,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_217.pg',0,0,'en',0,0),(42048,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_201.pg',0,0,'en',0,0),(42049,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_196.pg',0,0,'en',0,0),(42050,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_198.pg',0,0,'en',0,0),(42051,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3182,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_4_219.pg',0,0,'en',0,0),(42052,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_367.pg',0,0,'en',0,0),(42053,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_398.pg',0,0,'en',0,0),(42054,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_349.pg',0,0,'en',0,0),(42055,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_358.pg',0,0,'en',0,0),(42056,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_363.pg',0,0,'en',0,0),(42057,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_372.pg',0,0,'en',0,0),(42058,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_399.pg',0,0,'en',0,0),(42059,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_348.pg',0,0,'en',0,0),(42060,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_371.pg',0,0,'en',0,0),(42061,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_375.pg',0,0,'en',0,0),(42062,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_350.pg',0,0,'en',0,0),(42063,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_378.pg',0,0,'en',0,0),(42064,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_386.pg',0,0,'en',0,0),(42065,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_387.pg',0,0,'en',0,0),(42066,70,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3183,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_7_381.pg',0,0,'en',0,0),(42067,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_30.pg',0,0,'en',0,0),(42068,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_39.pg',0,0,'en',0,0),(42069,117,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_1-2.pg',0,0,'en',0,0),(42070,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_23.pg',0,0,'en',0,0),(42071,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_11.pg',0,0,'en',0,0),(42072,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_28.pg',0,0,'en',0,0),(42073,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_35.pg',0,0,'en',0,0),(42074,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_34.pg',0,0,'en',0,0),(42075,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_9.pg',0,0,'en',0,0),(42076,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_13.pg',0,0,'en',0,0),(42077,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_20.pg',0,0,'en',0,0),(42078,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_41.pg',0,0,'en',0,0),(42079,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_8.pg',0,0,'en',0,0),(42080,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_17.pg',0,0,'en',0,0),(42081,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_38.pg',0,0,'en',0,0),(42082,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_32.pg',0,0,'en',0,0),(42083,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3184,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_1_18.pg',0,0,'en',0,0),(42084,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_15.pg',0,0,'en',0,1),(42085,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_33.pg',0,0,'en',0,1),(42086,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_28.pg',0,0,'en',0,1),(42087,121,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_41.pg',0,0,'en',0,1),(42088,121,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_43.pg',0,0,'en',0,1),(42089,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_32.pg',0,0,'en',0,1),(42090,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_19.pg',0,0,'en',0,1),(42091,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_27.pg',0,0,'en',0,1),(42092,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_13.pg',0,0,'en',0,1),(42093,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_7.pg',0,0,'en',0,1),(42094,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_3.pg',0,0,'en',0,1),(42095,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_10.pg',0,0,'en',0,1),(42096,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_5.pg',0,0,'en',0,1),(42097,121,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_46.pg',0,0,'en',0,1),(42098,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_25.pg',0,0,'en',0,1),(42099,121,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_40.pg',0,0,'en',0,1),(42100,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_2.pg',0,0,'en',0,1),(42101,122,201,_binary 'Colorado Community College System','Contrib',3185,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_1_18.pg',0,0,'en',0,1),(42102,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_83.pg',0,0,'en',0,1),(42103,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_93.pg',0,0,'en',0,1),(42104,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_98.pg',0,0,'en',0,1),(42105,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_87.pg',0,0,'en',0,1),(42106,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_91.pg',0,0,'en',0,1),(42107,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_70.pg',0,0,'en',0,1),(42108,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_65.pg',0,0,'en',0,1),(42109,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_89.pg',0,0,'en',0,1),(42110,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_96.pg',0,0,'en',0,1),(42111,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_67.pg',0,0,'en',0,1),(42112,118,201,_binary 'Colorado Community College System','Contrib',3186,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_2_79.pg',0,0,'en',0,1),(42113,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_189.pg',0,0,'en',0,1),(42114,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_208.pg',0,0,'en',0,1),(42115,133,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_252.pg',0,0,'en',0,1),(42116,135,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_215.pg',0,0,'en',0,1),(42117,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_192.pg',0,0,'en',0,1),(42118,133,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_246.pg',0,0,'en',0,1),(42119,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_228.pg',0,0,'en',0,1),(42120,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_213.pg',0,0,'en',0,1),(42121,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_210.pg',0,0,'en',0,1),(42122,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_198.pg',0,0,'en',0,1),(42123,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_207.pg',0,0,'en',0,1),(42124,134,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_190.pg',0,0,'en',0,1),(42125,135,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_232.pg',0,0,'en',0,1),(42126,135,201,_binary 'Colorado Community College System','Contrib',3187,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_4_219.pg',0,0,'en',0,1),(42127,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_152.pg',0,0,'en',0,0),(42128,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_154.pg',0,0,'en',0,0),(42129,89,221,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_151.pg',0,0,'en',0,0),(42130,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_133.pg',0,0,'en',0,0),(42131,90,222,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_115_116.pg',0,0,'en',0,0),(42132,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_146.pg',0,0,'en',0,0),(42133,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_121.pg',0,0,'en',0,0),(42134,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_143.pg',0,0,'en',0,0),(42135,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_126.pg',0,0,'en',0,0),(42136,90,223,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_118_119.pg',0,0,'en',0,0),(42137,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_136.pg',0,0,'en',0,0),(42138,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_132.pg',0,0,'en',0,0),(42139,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_148.pg',0,0,'en',0,0),(42140,89,224,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_123.pg',0,0,'en',0,0),(42141,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_130.pg',0,0,'en',0,0),(42142,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3188,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_3_141.pg',0,0,'en',0,0),(42143,105,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_94.pg',0,0,'en',0,0),(42144,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_99.pg',0,0,'en',0,0),(42145,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_79.pg',0,0,'en',0,0),(42146,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_104.pg',0,0,'en',0,0),(42147,102,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_68.pg',0,0,'en',0,0),(42148,102,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_83-86.pg',0,0,'en',0,0),(42149,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_73.pg',0,0,'en',0,0),(42150,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_98.pg',0,0,'en',0,0),(42151,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_72.pg',0,0,'en',0,0),(42152,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_75.pg',0,0,'en',0,0),(42153,107,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_87.pg',0,0,'en',0,0),(42154,105,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_89.pg',0,0,'en',0,0),(42155,102,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_67.pg',0,0,'en',0,0),(42156,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_81.pg',0,0,'en',0,0),(42157,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_105.pg',0,0,'en',0,0),(42158,118,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_97.pg',0,0,'en',0,0),(42159,105,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_96.pg',0,0,'en',0,0),(42160,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_102.pg',0,0,'en',0,0),(42161,105,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_91.pg',0,0,'en',0,0),(42162,103,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3189,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_2_77.pg',0,0,'en',0,0),(42163,350,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3190,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_2_84_85_86_87_88.pg',0,0,'en',0,0),(42164,350,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3190,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_2_66_67_68_69.pg',0,0,'en',0,0),(42165,350,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3190,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_2_75.pg',0,0,'en',0,0),(42166,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_179.pg',0,0,'en',0,0),(42167,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_134.pg',0,0,'en',0,0),(42168,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_176.pg',0,0,'en',0,0),(42169,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_175.pg',0,0,'en',0,0),(42170,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_150.pg',0,0,'en',0,0),(42171,78,225,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_146.pg',0,0,'en',0,0),(42172,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_127.pg',0,0,'en',0,0),(42173,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_137.pg',0,0,'en',0,0),(42174,78,225,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_135.pg',0,0,'en',0,0),(42175,78,225,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_139.pg',0,0,'en',0,0),(42176,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_153.pg',0,0,'en',0,0),(42177,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_165.pg',0,0,'en',0,0),(42178,71,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_172.pg',0,0,'en',0,0),(42179,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_132.pg',0,0,'en',0,0),(42180,78,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_126.pg',0,0,'en',0,0),(42181,78,225,_binary 'Community College of Denver, Colorado Community College System','Contrib',3191,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_3_164.pg',0,0,'en',0,0),(42182,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_275.pg',0,0,'en',0,0),(42183,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_261.pg',0,0,'en',0,0),(42184,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_279.pg',0,0,'en',0,0),(42185,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_258.pg',0,0,'en',0,0),(42186,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_272.pg',0,0,'en',0,0),(42187,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_255.pg',0,0,'en',0,0),(42188,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3192,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_6_265.pg',0,0,'en',0,0),(42189,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_220.pg',0,0,'en',0,1),(42190,118,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_213.pg',0,0,'en',0,1),(42191,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_222.pg',0,0,'en',0,1),(42192,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_204.pg',0,0,'en',0,1),(42193,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_202.pg',0,0,'en',0,1),(42194,116,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_184.pg',0,0,'en',0,1),(42195,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_175.pg',0,0,'en',0,1),(42196,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_229.pg',0,0,'en',0,1),(42197,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_227.pg',0,0,'en',0,1),(42198,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_208.pg',0,0,'en',0,1),(42199,115,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_207.pg',0,0,'en',0,1),(42200,118,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_210.pg',0,0,'en',0,1),(42201,116,201,_binary 'Colorado Community College System','Contrib',3193,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_4_180.pg',0,0,'en',0,1),(42202,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_344.pg',0,0,'en',0,0),(42203,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_351.pg',0,0,'en',0,0),(42204,109,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_317.pg',0,0,'en',0,0),(42205,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_353.pg',0,0,'en',0,0),(42206,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_348.pg',0,0,'en',0,0),(42207,110,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_341.pg',0,0,'en',0,0),(42208,110,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_333.pg',0,0,'en',0,0),(42209,109,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_321.pg',0,0,'en',0,0),(42210,110,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_329.pg',0,0,'en',0,0),(42211,109,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_325.pg',0,0,'en',0,0),(42212,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_367.pg',0,0,'en',0,0),(42213,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_346.pg',0,0,'en',0,0),(42214,110,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_336.pg',0,0,'en',0,0),(42215,109,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_323.pg',0,0,'en',0,0),(42216,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_364.pg',0,0,'en',0,0),(42217,109,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_319.pg',0,0,'en',0,0),(42218,113,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_345.pg',0,0,'en',0,0),(42219,110,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_330.pg',0,0,'en',0,0),(42220,110,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3194,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_6_334.pg',0,0,'en',0,0),(42221,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_220.pg',0,0,'en',0,0),(42222,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_246.pg',0,0,'en',0,0),(42223,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_226.pg',0,0,'en',0,0),(42224,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_239.pg',0,0,'en',0,0),(42225,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_222.pg',0,0,'en',0,0),(42226,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_224.pg',0,0,'en',0,0),(42227,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_250.pg',0,0,'en',0,0),(42228,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_218.pg',0,0,'en',0,0),(42229,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_236.pg',0,0,'en',0,0),(42230,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_248.pg',0,0,'en',0,0),(42231,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_227.pg',0,0,'en',0,0),(42232,96,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_229.pg',0,0,'en',0,0),(42233,94,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3195,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_5_238.pg',0,0,'en',0,0),(42234,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_164.pg',0,0,'en',0,1),(42235,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_126-130.pg',0,0,'en',0,1),(42236,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_143_145_147.pg',0,0,'en',0,1),(42237,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_154.pg',0,0,'en',0,1),(42238,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_155.pg',0,0,'en',0,1),(42239,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_160.pg',0,0,'en',0,1),(42240,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_137_139_141.pg',0,0,'en',0,1),(42241,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_161.pg',0,0,'en',0,1),(42242,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_158.pg',0,0,'en',0,1),(42243,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_166.pg',0,0,'en',0,1),(42244,1533,201,_binary 'Colorado Community College System','Contrib',3196,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_3_132-135.pg',0,0,'en',0,1),(42245,36,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_308.pg',0,0,'en',0,0),(42246,30,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_296.pg',0,0,'en',0,0),(42247,30,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_304.pg',0,0,'en',0,0),(42248,71,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_315.pg',0,0,'en',0,0),(42249,65,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_318.pg',0,0,'en',0,0),(42250,41,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_322.pg',0,0,'en',0,0),(42251,41,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_326.pg',0,0,'en',0,0),(42252,41,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_328.pg',0,0,'en',0,0),(42253,30,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_306.pg',0,0,'en',0,0),(42254,30,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_297.pg',0,0,'en',0,0),(42255,30,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_302.pg',0,0,'en',0,0),(42256,30,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_300.pg',0,0,'en',0,0),(42257,67,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_311.pg',0,0,'en',0,0),(42258,69,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_332.pg',0,0,'en',0,0),(42259,36,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3197,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_7_334.pg',0,0,'en',0,0),(42260,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_35.pg',0,0,'en',0,0),(42261,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_25.pg',0,0,'en',0,0),(42262,338,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_11.pg',0,0,'en',0,0),(42263,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_30.pg',0,0,'en',0,0),(42264,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_19.pg',0,0,'en',0,0),(42265,338,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_1.pg',0,0,'en',0,0),(42266,338,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_6.pg',0,0,'en',0,0),(42267,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_23.pg',0,0,'en',0,0),(42268,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_21.pg',0,0,'en',0,0),(42269,337,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_17.pg',0,0,'en',0,0),(42270,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_32.pg',0,0,'en',0,0),(42271,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_39.pg',0,0,'en',0,0),(42272,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_47.pg',0,0,'en',0,0),(42273,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_42.pg',0,0,'en',0,0),(42274,337,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_13.pg',0,0,'en',0,0),(42275,337,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_15.pg',0,0,'en',0,0),(42276,338,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3198,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_1_3.pg',0,0,'en',0,0),(42277,82,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3199,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_5_287.pg',0,0,'en',0,0),(42278,79,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3199,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_5_247.pg',0,0,'en',0,0),(42279,71,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3199,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_5_275.pg',0,0,'en',0,0),(42280,79,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3199,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_5_268.pg',0,0,'en',0,0),(42281,79,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3199,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_5_244.pg',0,0,'en',0,0),(42282,79,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3199,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_5_298.pg',0,0,'en',0,0),(42283,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_35.pg',0,0,'en',0,0),(42284,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_17.pg',0,0,'en',0,0),(42285,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_15.pg',0,0,'en',0,0),(42286,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_47.pg',0,0,'en',0,0),(42287,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_29.pg',0,0,'en',0,0),(42288,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_27.pg',0,0,'en',0,0),(42289,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_4.pg',0,0,'en',0,0),(42290,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_37.pg',0,0,'en',0,0),(42291,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_1.pg',0,0,'en',0,0),(42292,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_12-13.pg',0,0,'en',0,0),(42293,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_3.pg',0,0,'en',0,0),(42294,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_50.pg',0,0,'en',0,0),(42295,101,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3200,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_1_33.pg',0,0,'en',0,0),(42296,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_329.pg',0,0,'en',0,0),(42297,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_301.pg',0,0,'en',0,0),(42298,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_330.pg',0,0,'en',0,0),(42299,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_309.pg',0,0,'en',0,0),(42300,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_300.pg',0,0,'en',0,0),(42301,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_308.pg',0,0,'en',0,0),(42302,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_317.pg',0,0,'en',0,0),(42303,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_306.pg',0,0,'en',0,0),(42304,83,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_304.pg',0,0,'en',0,0),(42305,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3201,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_6_342.pg',0,0,'en',0,0),(42306,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_156.pg',0,0,'en',0,0),(42307,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_171.pg',0,0,'en',0,0),(42308,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_162.pg',0,0,'en',0,0),(42309,1522,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_169.pg',0,0,'en',0,0),(42310,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_159.pg',0,0,'en',0,0),(42311,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_155.pg',0,0,'en',0,0),(42312,106,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_140.pg',0,0,'en',0,0),(42313,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_165.pg',0,0,'en',0,0),(42314,106,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_146.pg',0,0,'en',0,0),(42315,106,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_145.pg',0,0,'en',0,0),(42316,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_164.pg',0,0,'en',0,0),(42317,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_153.pg',0,0,'en',0,0),(42318,106,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_139.pg',0,0,'en',0,0),(42319,108,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3202,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_3_163.pg',0,0,'en',0,0),(42320,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_117.pg',0,0,'en',0,1),(42321,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_145.pg',0,0,'en',0,1),(42322,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_147.pg',0,0,'en',0,1),(42323,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_121.pg',0,0,'en',0,1),(42324,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_142.pg',0,0,'en',0,1),(42325,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_118.pg',0,0,'en',0,1),(42326,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_140_a.pg',0,0,'en',0,1),(42327,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_148.pg',0,0,'en',0,1),(42328,116,201,_binary 'Colorado Community College System','Contrib',3203,'CCD_CCCS_Openstax_Calc2_C1-2016-002_6_3_123.pg',0,0,'en',0,1),(42329,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_371.pg',0,0,'en',0,0),(42330,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_364.pg',0,0,'en',0,0),(42331,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_383.pg',0,0,'en',0,0),(42332,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_395.pg',0,0,'en',0,0),(42333,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_367.pg',0,0,'en',0,0),(42334,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_359.pg',0,0,'en',0,0),(42335,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_386.pg',0,0,'en',0,0),(42336,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_396.pg',0,0,'en',0,0),(42337,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_363.pg',0,0,'en',0,0),(42338,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_357.pg',0,0,'en',0,0),(42339,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_382.pg',0,0,'en',0,0),(42340,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_391.pg',0,0,'en',0,0),(42341,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_362.pg',0,0,'en',0,0),(42342,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_376.pg',0,0,'en',0,0),(42343,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3204,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_392.pg',0,0,'en',0,0),(42344,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_185.pg',0,0,'en',0,0),(42345,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_202.pg',0,0,'en',0,0),(42346,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_209.pg',0,0,'en',0,0),(42347,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_170.pg',0,0,'en',0,0),(42348,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_176.pg',0,0,'en',0,0),(42349,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_192.pg',0,0,'en',0,0),(42350,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_181.pg',0,0,'en',0,0),(42351,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_184.pg',0,0,'en',0,0),(42352,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_180.pg',0,0,'en',0,0),(42353,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_167.pg',0,0,'en',0,0),(42354,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_175.pg',0,0,'en',0,0),(42355,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_166.pg',0,0,'en',0,0),(42356,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_194.pg',0,0,'en',0,0),(42357,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_200.pg',0,0,'en',0,0),(42358,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_190.pg',0,0,'en',0,0),(42359,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_211.pg',0,0,'en',0,0),(42360,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_172.pg',0,0,'en',0,0),(42361,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_206.pg',0,0,'en',0,0),(42362,92,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3205,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_4_169.pg',0,0,'en',0,0),(42363,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_81.pg',0,0,'en',0,0),(42364,86,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_72.pg',0,0,'en',0,0),(42365,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_79.pg',0,0,'en',0,0),(42366,88,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_90.pg',0,0,'en',0,0),(42367,86,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_63.pg',0,0,'en',0,0),(42368,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_99.pg',0,0,'en',0,0),(42369,88,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_92.pg',0,0,'en',0,0),(42370,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_76.pg',0,0,'en',0,0),(42371,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_85.pg',0,0,'en',0,0),(42372,88,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_96.pg',0,0,'en',0,0),(42373,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_103.pg',0,0,'en',0,0),(42374,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_84.pg',0,0,'en',0,0),(42375,88,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_101.pg',0,0,'en',0,0),(42376,86,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_68.pg',0,0,'en',0,0),(42377,86,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_69.pg',0,0,'en',0,0),(42378,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_88.pg',0,0,'en',0,0),(42379,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_75.pg',0,0,'en',0,0),(42380,87,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_106.pg',0,0,'en',0,0),(42381,86,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3206,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_70.pg',0,0,'en',0,0),(42382,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_183.pg',0,0,'en',0,0),(42383,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_188.pg',0,0,'en',0,0),(42384,77,225,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_194.pg',0,0,'en',0,0),(42385,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_209.pg',0,0,'en',0,0),(42386,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_205.pg',0,0,'en',0,0),(42387,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_221.pg',0,0,'en',0,0),(42388,77,226,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_184.pg',0,0,'en',0,0),(42389,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_186.pg',0,0,'en',0,0),(42390,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_203.pg',0,0,'en',0,0),(42391,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_211.pg',0,0,'en',0,0),(42392,75,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_216.pg',0,0,'en',0,0),(42393,93,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_232.pg',0,0,'en',0,0),(42394,77,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3207,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_4_237.pg',0,0,'en',0,0),(42395,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_103.pg',0,0,'en',0,0),(42396,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_87.pg',0,0,'en',0,0),(42397,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_84.pg',0,0,'en',0,0),(42398,91,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_119.pg',0,0,'en',0,0),(42399,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_89.pg',0,0,'en',0,0),(42400,75,221,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_90.pg',0,0,'en',0,0),(42401,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_74.pg',0,0,'en',0,0),(42402,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_80.pg',0,0,'en',0,0),(42403,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_100.pg',0,0,'en',0,0),(42404,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_99.pg',0,0,'en',0,0),(42405,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_69.pg',0,0,'en',0,0),(42406,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_108.pg',0,0,'en',0,0),(42407,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_83.pg',0,0,'en',0,0),(42408,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_110.pg',0,0,'en',0,0),(42409,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_76.pg',0,0,'en',0,0),(42410,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_77.pg',0,0,'en',0,0),(42411,75,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3208,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_2_70.pg',0,0,'en',0,0),(42412,114,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_254.pg',0,0,'en',0,0),(42413,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_258.pg',0,0,'en',0,0),(42414,111,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_280.pg',0,0,'en',0,0),(42415,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_257.pg',0,0,'en',0,0),(42416,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_276.pg',0,0,'en',0,0),(42417,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_251.pg',0,0,'en',0,0),(42418,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_253.pg',0,0,'en',0,0),(42419,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_264.pg',0,0,'en',0,0),(42420,111,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_283.pg',0,0,'en',0,0),(42421,111,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_295-296.pg',0,0,'en',0,0),(42422,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_278.pg',0,0,'en',0,0),(42423,112,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3209,'CCD_CCCS_Openstax_Calc2_C1-2016-002_5_5_260.pg',0,0,'en',0,0),(42424,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_61.pg',0,0,'en',0,0),(42425,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_13.pg',0,0,'en',0,0),(42426,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_31.pg',0,0,'en',0,0),(42427,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_20.pg',0,0,'en',0,0),(42428,90,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_60.pg',0,0,'en',0,0),(42429,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_25.pg',0,0,'en',0,0),(42430,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_7.pg',0,0,'en',0,0),(42431,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_40.pg',0,0,'en',0,0),(42432,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_22.pg',0,0,'en',0,0),(42433,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_30.pg',0,0,'en',0,0),(42434,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_4.pg',0,0,'en',0,0),(42435,89,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_2_2_107.pg',0,0,'en',0,0),(42436,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_36.pg',0,0,'en',0,0),(42437,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_45.pg',0,0,'en',0,0),(42438,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_39.pg',0,0,'en',0,0),(42439,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_10.pg',0,0,'en',0,0),(42440,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_16.pg',0,0,'en',0,0),(42441,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_2.pg',0,0,'en',0,0),(42442,73,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_26.pg',0,0,'en',0,0),(42443,74,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3210,'CCD_CCCS_Openstax_Calc2_C2-2016-002_3_1_8.pg',0,0,'en',0,0),(42444,124,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_89.pg',0,0,'en',0,1),(42445,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_65.pg',0,0,'en',0,1),(42446,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_70.pg',0,0,'en',0,1),(42447,124,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_99.pg',0,0,'en',0,1),(42448,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_68.pg',0,0,'en',0,1),(42449,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_81-82.pg',0,0,'en',0,1),(42450,128,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_122.pg',0,0,'en',0,1),(42451,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_63.pg',0,0,'en',0,1),(42452,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_67.pg',0,0,'en',0,1),(42453,124,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_85.pg',0,0,'en',0,1),(42454,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_73.pg',0,0,'en',0,1),(42455,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_78-79.pg',0,0,'en',0,1),(42456,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_94.pg',0,0,'en',0,1),(42457,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_72.pg',0,0,'en',0,1),(42458,125,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_114.pg',0,0,'en',0,1),(42459,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_86.pg',0,0,'en',0,1),(42460,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_91.pg',0,0,'en',0,1),(42461,123,201,_binary 'Colorado Community College System','Contrib',3211,'CCD_CCCS_Openstax_Calc2_C1-2016-002_7_2_76.pg',0,0,'en',0,1),(42462,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_129.pg',0,0,'en',0,0),(42463,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_122.pg',0,0,'en',0,0),(42464,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_149.pg',0,0,'en',0,0),(42465,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_138.pg',0,0,'en',0,0),(42466,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_124.pg',0,0,'en',0,0),(42467,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_132.pg',0,0,'en',0,0),(42468,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_135.pg',0,0,'en',0,0),(42469,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_136.pg',0,0,'en',0,0),(42470,341,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3212,'CCD_CCCS_Openstax_Calc2_C2-2016-002_4_3_141.pg',0,0,'en',0,0),(42471,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_17.pg',0,0,'en',0,1),(42472,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_17.pg',0,0,'en',0,1),(42473,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_61.pg',0,0,'en',0,1),(42474,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_61.pg',0,0,'en',0,1),(42475,210,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_13.pg',0,0,'en',0,1),(42476,468,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_13.pg',0,0,'en',0,1),(42477,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_59.pg',0,0,'en',0,1),(42478,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_59.pg',0,0,'en',0,1),(42479,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_5.pg',0,0,'en',0,1),(42480,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_5.pg',0,0,'en',0,1),(42481,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_73.pg',0,0,'en',0,1),(42482,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_73.pg',0,0,'en',0,1),(42483,210,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_9.pg',0,0,'en',0,1),(42484,468,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_9.pg',0,0,'en',0,1),(42485,210,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3213,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_A.pg',0,0,'en',0,1),(42486,468,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3213,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_A.pg',0,0,'en',0,1),(42487,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_16.pg',0,0,'en',0,1),(42488,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_16.pg',0,0,'en',0,1),(42489,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_11.pg',0,0,'en',0,1),(42490,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_11.pg',0,0,'en',0,1),(42491,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_77.pg',0,0,'en',0,1),(42492,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3213,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_77.pg',0,0,'en',0,1),(42493,210,17,_binary 'University of Missouri-Columbia','Contrib',3213,'Openstax_AlgTrig_AT-1-001-AS_3_4_43.pg',0,3,'en',0,0),(42494,468,17,_binary 'University of Missouri-Columbia','Contrib',3213,'Openstax_AlgTrig_AT-1-001-AS_3_4_43.pg',0,3,'en',0,0),(42495,210,17,_binary 'University of Missouri-Columbia','Contrib',3213,'Openstax_AlgTrig_AT-1-001-AS_3_4_45.pg',0,3,'en',0,0),(42496,468,17,_binary 'University of Missouri-Columbia','Contrib',3213,'Openstax_AlgTrig_AT-1-001-AS_3_4_45.pg',0,3,'en',0,0),(42497,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_11.pg',0,0,'en',0,1),(42498,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_11.pg',0,0,'en',0,1),(42499,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_10.pg',0,0,'en',0,1),(42500,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_10.pg',0,0,'en',0,1),(42501,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_52.pg',0,0,'en',0,1),(42502,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_52.pg',0,0,'en',0,1),(42503,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_60.pg',0,0,'en',0,1),(42504,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_60.pg',0,0,'en',0,1),(42505,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_40.pg',0,0,'en',0,1),(42506,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_40.pg',0,0,'en',0,1),(42507,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_6.pg',0,0,'en',0,1),(42508,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_6.pg',0,0,'en',0,1),(42509,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_16.pg',0,0,'en',0,1),(42510,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_16.pg',0,0,'en',0,1),(42511,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_22.pg',0,0,'en',0,1),(42512,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_22.pg',0,0,'en',0,1),(42513,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_30.pg',0,0,'en',0,1),(42514,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_30.pg',0,0,'en',0,1),(42515,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_19.pg',0,0,'en',0,1),(42516,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3214,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_19.pg',0,0,'en',0,1),(42517,293,210,_binary 'Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_51.pg',0,0,'en',0,1),(42518,551,210,_binary 'Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_51.pg',0,0,'en',0,1),(42519,291,228,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_24.pg',0,0,'en',0,1),(42520,549,228,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_24.pg',0,0,'en',0,1),(42521,293,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_29.pg',0,0,'en',0,1),(42522,551,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_29.pg',0,0,'en',0,1),(42523,291,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_18.pg',0,0,'en',0,1),(42524,549,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_18.pg',0,0,'en',0,1),(42525,291,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_39-40.pg',0,0,'en',0,1),(42526,549,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_39-40.pg',0,0,'en',0,1),(42527,291,229,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_sup2.pg',0,0,'en',0,1),(42528,549,229,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_sup2.pg',0,0,'en',0,1),(42529,293,228,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_6.pg',0,0,'en',0,1),(42530,551,228,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_6.pg',0,0,'en',0,1),(42531,291,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_sup1.pg',0,0,'en',0,1),(42532,549,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3215,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_sup1.pg',0,0,'en',0,1),(42533,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_10.pg',0,0,'en',0,1),(42534,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_10.pg',0,0,'en',0,1),(42535,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_7.pg',0,0,'en',0,1),(42536,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_7.pg',0,0,'en',0,1),(42537,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_2.pg',0,0,'en',0,1),(42538,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_2.pg',0,0,'en',0,1),(42539,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_1.pg',0,0,'en',0,1),(42540,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_1.pg',0,0,'en',0,1),(42541,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_6.pg',0,0,'en',0,1),(42542,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_6.pg',0,0,'en',0,1),(42543,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_9.pg',0,0,'en',0,1),(42544,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_9.pg',0,0,'en',0,1),(42545,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_4.pg',0,0,'en',0,1),(42546,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_4.pg',0,0,'en',0,1),(42547,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_5.pg',0,0,'en',0,1),(42548,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_5.pg',0,0,'en',0,1),(42549,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_8.pg',0,0,'en',0,1),(42550,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_8.pg',0,0,'en',0,1),(42551,256,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_3.pg',0,0,'en',0,1),(42552,514,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3216,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_Poly_Ineq_3.pg',0,0,'en',0,1),(42553,1534,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3217,'ConicGraphs2.pg',0,0,'en',0,0),(42554,1534,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3217,'ConicGraphs1.pg',0,0,'en',0,0),(42555,1534,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3217,'ConicGraphs3.pg',0,0,'en',0,0),(42556,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_19.pg',0,0,'en',0,1),(42557,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_19.pg',0,0,'en',0,1),(42558,278,204,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_73.pg',0,0,'en',0,1),(42559,536,204,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_73.pg',0,0,'en',0,1),(42560,275,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_75.pg',0,0,'en',0,1),(42561,533,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_75.pg',0,0,'en',0,1),(42562,281,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_86.pg',0,0,'en',0,1),(42563,539,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_86.pg',0,0,'en',0,1),(42564,275,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_77.pg',0,0,'en',0,1),(42565,533,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_77.pg',0,0,'en',0,1),(42566,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_45.pg',0,0,'en',0,1),(42567,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_45.pg',0,0,'en',0,1),(42568,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_9.pg',0,0,'en',0,1),(42569,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_9.pg',0,0,'en',0,1),(42570,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_39.pg',0,0,'en',0,1),(42571,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_39.pg',0,0,'en',0,1),(42572,277,230,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_57.pg',0,0,'en',0,1),(42573,535,230,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_57.pg',0,0,'en',0,1),(42574,280,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg',0,0,'en',0,1),(42575,538,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg',0,0,'en',0,1),(42576,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_43.pg',0,0,'en',0,1),(42577,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_43.pg',0,0,'en',0,1),(42578,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_51.pg',0,0,'en',0,1),(42579,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_51.pg',0,0,'en',0,1),(42580,208,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_8.pg',0,0,'en',0,1),(42581,466,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_8.pg',0,0,'en',0,1),(42582,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_10.pg',0,0,'en',0,1),(42583,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_10.pg',0,0,'en',0,1),(42584,278,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_71.pg',0,0,'en',0,1),(42585,536,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_71.pg',0,0,'en',0,1),(42586,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_6.pg',0,0,'en',0,1),(42587,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_6.pg',0,0,'en',0,1),(42588,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_40.pg',0,0,'en',0,1),(42589,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_40.pg',0,0,'en',0,1),(42590,281,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_83.pg',0,0,'en',0,1),(42591,539,207,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_83.pg',0,0,'en',0,1),(42592,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_20.pg',0,0,'en',0,1),(42593,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_20.pg',0,0,'en',0,1),(42594,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_15.pg',0,0,'en',0,1),(42595,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3218,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_15.pg',0,0,'en',0,1),(42596,203,0,_binary 'Community College of Denver','Contrib',3219,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_27.pg',0,0,'en',0,1),(42597,246,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_57.pg',0,0,'en',0,1),(42598,504,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_57.pg',0,0,'en',0,1),(42599,239,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_21.pg',0,0,'en',0,1),(42600,497,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_21.pg',0,0,'en',0,1),(42601,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_12.pg',0,0,'en',0,1),(42602,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_12.pg',0,0,'en',0,1),(42603,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_26.pg',0,0,'en',0,1),(42604,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_26.pg',0,0,'en',0,1),(42605,239,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_25.pg',0,0,'en',0,1),(42606,497,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_25.pg',0,0,'en',0,1),(42607,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_32.pg',0,0,'en',0,1),(42608,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_32.pg',0,0,'en',0,1),(42609,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_7.pg',0,0,'en',0,1),(42610,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_7.pg',0,0,'en',0,1),(42611,240,0,_binary 'Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_41.pg',0,0,'en',0,1),(42612,498,0,_binary 'Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_41.pg',0,0,'en',0,1),(42613,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_38.pg',0,0,'en',0,1),(42614,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_38.pg',0,0,'en',0,1),(42615,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_6.pg',0,0,'en',0,1),(42616,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_6.pg',0,0,'en',0,1),(42617,240,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_39.pg',0,0,'en',0,1),(42618,498,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_39.pg',0,0,'en',0,1),(42619,246,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_56.pg',0,0,'en',0,1),(42620,504,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_56.pg',0,0,'en',0,1),(42621,240,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_35.pg',0,0,'en',0,1),(42622,498,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_35.pg',0,0,'en',0,1),(42623,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_19.pg',0,0,'en',0,1),(42624,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3220,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_19.pg',0,0,'en',0,1),(42625,1535,210,_binary 'Colorado Community College System','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_57.pg',0,0,'en',0,1),(42626,194,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_2_26.pg',0,0,'en',0,1),(42627,194,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_2_30.pg',0,0,'en',0,1),(42628,203,193,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_C.pg',0,0,'en',0,1),(42629,1536,193,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_A.pg',0,0,'en',0,1),(42630,229,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3221,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_22.pg',0,0,'en',1,1),(42631,487,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3221,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_22.pg',0,0,'en',1,1),(42632,202,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_F.pg',0,0,'en',0,1),(42633,186,205,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_12.pg',0,0,'en',0,1),(42634,194,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_2_32.pg',0,0,'en',0,1),(42635,187,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3221,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_13.pg',0,0,'en',0,1),(42636,187,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3221,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_8.pg',0,0,'en',0,1),(42637,202,193,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_B.pg',0,0,'en',0,1),(42638,194,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3221,'CCD_CCCS_PropertiesofExponents1.pg',0,0,'en',1,1),(42639,195,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_3_sup2.pg',0,0,'en',0,1),(42640,202,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_G.pg',0,0,'en',0,1),(42641,187,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_10.pg',0,0,'en',0,1),(42642,194,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_2_27.pg',0,0,'en',0,1),(42643,195,205,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_3_sup1.pg',0,0,'en',0,1),(42644,186,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_29.pg',0,0,'en',0,1),(42645,186,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_13.pg',0,0,'en',0,1),(42646,1536,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_SUP1.pg',0,0,'en',0,1),(42647,229,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3221,'CCD_CCCS_LinearEquation1.pg',0,0,'en',1,1),(42648,487,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3221,'CCD_CCCS_LinearEquation1.pg',0,0,'en',1,1),(42649,202,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_5_E.pg',0,0,'en',0,1),(42650,234,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3221,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_30.pg',0,0,'en',0,1),(42651,492,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3221,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_30.pg',0,0,'en',0,1),(42652,186,0,_binary 'Community College of Denver','Contrib',3221,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_1_4_21.pg',0,0,'en',0,1),(42653,235,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_28.pg',0,0,'en',0,1),(42654,493,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_28.pg',0,0,'en',0,1),(42655,190,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_449.pg',0,0,'en',0,1),(42656,192,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_15.pg',0,0,'en',0,1),(42657,190,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_443.pg',0,0,'en',0,1),(42658,192,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_17.pg',0,0,'en',0,1),(42659,192,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_19.pg',0,0,'en',0,1),(42660,235,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_7.pg',0,0,'en',0,1),(42661,493,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_7.pg',0,0,'en',0,1),(42662,235,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_11.pg',0,0,'en',0,1),(42663,493,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_11.pg',0,0,'en',0,1),(42664,190,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_447.pg',0,0,'en',0,1),(42665,192,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_21.pg',0,0,'en',0,1),(42666,235,0,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_10.pg',0,0,'en',0,1),(42667,493,0,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_10.pg',0,0,'en',0,1),(42668,190,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_440.pg',0,0,'en',0,1),(42669,235,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_6.pg',0,0,'en',0,1),(42670,493,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_6.pg',0,0,'en',0,1),(42671,190,199,_binary 'Colorado Community College System','Contrib',3222,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_442.pg',0,0,'en',0,1),(42672,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_43.pg',0,0,'en',0,1),(42673,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_43.pg',0,0,'en',0,1),(42674,243,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_27.pg',0,0,'en',0,1),(42675,501,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_27.pg',0,0,'en',0,1),(42676,243,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_29.pg',0,0,'en',0,1),(42677,501,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_29.pg',0,0,'en',0,1),(42678,243,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_10.pg',0,0,'en',0,1),(42679,501,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_10.pg',0,0,'en',0,1),(42680,246,231,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_67.pg',0,0,'en',0,1),(42681,504,231,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_67.pg',0,0,'en',0,1),(42682,245,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_21.pg',0,0,'en',0,1),(42683,503,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_21.pg',0,0,'en',0,1),(42684,246,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_73.pg',0,0,'en',0,1),(42685,504,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_73.pg',0,0,'en',0,1),(42686,243,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_23.pg',0,0,'en',0,1),(42687,501,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_23.pg',0,0,'en',0,1),(42688,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_41.pg',0,0,'en',0,1),(42689,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_41.pg',0,0,'en',0,1),(42690,243,232,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg',0,0,'en',0,1),(42691,501,232,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg',0,0,'en',0,1),(42692,243,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_35.pg',0,0,'en',0,1),(42693,501,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_35.pg',0,0,'en',0,1),(42694,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_56.pg',0,0,'en',0,1),(42695,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_56.pg',0,0,'en',0,1),(42696,243,196,_binary 'Red Rocks Community College, Colorado Community College System; EDIT: Changed to PGML, added popups, James Morski 8/31/17','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_16.pg',0,0,'en',0,1),(42697,501,196,_binary 'Red Rocks Community College, Colorado Community College System; EDIT: Changed to PGML, added popups, James Morski 8/31/17','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_16.pg',0,0,'en',0,1),(42698,243,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_6.pg',0,0,'en',0,1),(42699,501,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_6.pg',0,0,'en',0,1),(42700,243,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_39.pg',0,0,'en',0,1),(42701,501,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3223,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_39.pg',0,0,'en',0,1),(42702,286,196,_binary 'Red Rocks Community College','Contrib',3224,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_16.pg',0,0,'en',0,1),(42703,544,196,_binary 'Red Rocks Community College','Contrib',3224,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_16.pg',0,0,'en',0,1),(42704,286,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_25.pg',0,0,'en',0,1),(42705,544,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_25.pg',0,0,'en',0,1),(42706,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_13.pg',0,0,'en',0,1),(42707,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_13.pg',0,0,'en',0,1),(42708,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_19.pg',0,0,'en',0,1),(42709,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_19.pg',0,0,'en',0,1),(42710,286,233,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_23.pg',0,0,'en',0,1),(42711,544,233,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_23.pg',0,0,'en',0,1),(42712,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_05.pg',0,0,'en',0,1),(42713,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_05.pg',0,0,'en',0,1),(42714,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_27.pg',0,0,'en',0,1),(42715,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_27.pg',0,0,'en',0,1),(42716,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_12.pg',0,0,'en',0,1),(42717,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_12.pg',0,0,'en',0,1),(42718,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_21.pg',0,0,'en',0,1),(42719,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_21.pg',0,0,'en',0,1),(42720,286,234,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_15.pg',0,0,'en',0,1),(42721,544,234,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_15.pg',0,0,'en',0,1),(42722,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_3.pg',0,0,'en',0,1),(42723,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_3.pg',0,0,'en',0,1),(42724,286,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_9.pg',0,0,'en',0,1),(42725,544,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_9.pg',0,0,'en',0,1),(42726,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_7.pg',0,0,'en',0,1),(42727,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3224,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_7.pg',0,0,'en',0,1),(42728,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_31.pg',0,0,'en',0,1),(42729,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_31.pg',0,0,'en',0,1),(42730,290,193,_binary 'Community College of Denver','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_29.pg',0,0,'en',0,1),(42731,548,193,_binary 'Community College of Denver','Contrib',3224,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_29.pg',0,0,'en',0,1),(42732,283,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_45.pg',0,0,'en',0,1),(42733,541,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_45.pg',0,0,'en',0,1),(42734,284,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_25.pg',0,0,'en',0,1),(42735,542,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_25.pg',0,0,'en',0,1),(42736,284,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_37.pg',0,0,'en',0,1),(42737,542,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_37.pg',0,0,'en',0,1),(42738,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_12.pg',0,0,'en',0,1),(42739,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_12.pg',0,0,'en',0,1),(42740,283,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3225,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_9.pg',0,0,'en',0,1),(42741,541,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3225,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_9.pg',0,0,'en',0,1),(42742,282,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_21.pg',0,0,'en',0,1),(42743,540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_21.pg',0,0,'en',0,1),(42744,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_7.pg',0,0,'en',0,1),(42745,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_7.pg',0,0,'en',0,1),(42746,284,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_29.pg',0,0,'en',0,1),(42747,542,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_29.pg',0,0,'en',0,1),(42748,284,196,_binary 'Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_57.pg',0,0,'en',0,1),(42749,542,196,_binary 'Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_57.pg',0,0,'en',0,1),(42750,283,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_11.pg',0,0,'en',0,1),(42751,541,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_11.pg',0,0,'en',0,1),(42752,283,196,_binary 'Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_18.pg',0,0,'en',0,1),(42753,541,196,_binary 'Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_18.pg',0,0,'en',0,1),(42754,284,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_19.pg',0,0,'en',0,1),(42755,542,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_19.pg',0,0,'en',0,1),(42756,283,196,_binary 'Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_16.pg',0,0,'en',0,1),(42757,541,196,_binary 'Colorado Community College System','Contrib',3225,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_16.pg',0,0,'en',0,1),(42758,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_54.pg',0,0,'en',0,1),(42759,196,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_27.pg',0,0,'en',0,1),(42760,197,0,_binary 'Red Rocks Community College','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_17.pg',0,0,'en',0,1),(42761,236,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_5.pg',0,0,'en',0,1),(42762,494,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_5.pg',0,0,'en',0,1),(42763,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_25.pg',0,0,'en',0,1),(42764,196,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_29.pg',0,0,'en',0,1),(42765,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3226,'RRCC_CCCS_Circles_1.pg',0,0,'en',0,1),(42766,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3226,'RRCC_CCCS_Circles_3.pg',0,0,'en',0,1),(42767,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_44.pg',0,0,'en',0,1),(42768,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_19.pg',0,0,'en',0,1),(42769,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_45.pg',0,0,'en',0,1),(42770,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3226,'RRCC_CCCS_Circles_4.pg',0,0,'en',0,1),(42771,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_43.pg',0,0,'en',0,1),(42772,197,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_23.pg',0,0,'en',0,1),(42773,229,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_13.pg',0,0,'en',0,1),(42774,487,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_13.pg',0,0,'en',0,1),(42775,196,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_30.pg',0,0,'en',0,1),(42776,196,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_28.pg',0,0,'en',0,1),(42777,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3226,'RRCC_CCCS_Circles_5.pg',0,0,'en',0,1),(42778,236,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_9.pg',0,0,'en',0,1),(42779,494,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_9.pg',0,0,'en',0,1),(42780,196,0,_binary 'Colorado Community College System','Contrib',3226,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_34.pg',0,0,'en',0,1),(42781,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3226,'RRCC_CCCS_Circles_2.pg',0,0,'en',0,1),(42782,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(42783,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(42784,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_235.pg',0,0,'en',0,1),(42785,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_235.pg',0,0,'en',0,1),(42786,276,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(42787,534,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(42788,276,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(42789,534,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(42790,276,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(42791,534,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(42792,276,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_199.pg',0,0,'en',0,1),(42793,534,212,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_199.pg',0,0,'en',0,1),(42794,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(42795,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(42796,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(42797,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(42798,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(42799,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(42800,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(42801,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3227,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(42802,1537,0,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_28.pg',0,0,'en',0,1),(42803,1537,0,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_24.pg',0,0,'en',0,1),(42804,242,210,_binary 'Colorado Community College System','Contrib',3228,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_38.pg',0,0,'en',0,1),(42805,500,210,_binary 'Colorado Community College System','Contrib',3228,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_38.pg',0,0,'en',0,1),(42806,242,210,_binary 'Colorado Community College System','Contrib',3228,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_37.pg',0,0,'en',0,1),(42807,500,210,_binary 'Colorado Community College System','Contrib',3228,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_37.pg',0,0,'en',0,1),(42808,195,210,_binary 'Colorado Community College System','Contrib',3228,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_9.pg',0,0,'en',0,1),(42809,1537,0,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_22.pg',0,0,'en',0,1),(42810,190,196,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_31.pg',0,0,'en',0,1),(42811,190,196,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_29.pg',0,0,'en',0,1),(42812,195,210,_binary 'Colorado Community College System','Contrib',3228,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_7.pg',0,0,'en',0,1),(42813,1537,0,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_21.pg',0,0,'en',0,1),(42814,190,196,_binary 'Red Rocks Community College','Contrib',3228,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_35.pg',0,0,'en',0,1),(42815,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_15.pg',0,0,'en',0,1),(42816,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_15.pg',0,0,'en',0,1),(42817,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_49.pg',0,0,'en',0,1),(42818,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_49.pg',0,0,'en',0,1),(42819,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_27.pg',0,0,'en',0,1),(42820,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_27.pg',0,0,'en',0,1),(42821,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_51.pg',0,0,'en',0,1),(42822,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_51.pg',0,0,'en',0,1),(42823,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_39.pg',0,0,'en',0,1),(42824,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_39.pg',0,0,'en',0,1),(42825,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_38.pg',0,0,'en',0,1),(42826,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_38.pg',0,0,'en',0,1),(42827,249,235,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_9.pg',0,0,'en',0,1),(42828,507,235,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_9.pg',0,0,'en',0,1),(42829,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_14.pg',0,0,'en',0,1),(42830,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_14.pg',0,0,'en',0,1),(42831,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_3.pg',0,0,'en',0,1),(42832,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_3.pg',0,0,'en',0,1),(42833,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_65.pg',0,0,'en',0,1),(42834,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_65.pg',0,0,'en',0,1),(42835,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_44.pg',0,0,'en',0,1),(42836,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_44.pg',0,0,'en',0,1),(42837,249,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_7.pg',0,0,'en',0,1),(42838,507,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3229,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_7.pg',0,0,'en',0,1),(42839,229,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3230,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_29.pg',0,0,'en',1,1),(42840,487,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3230,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_29.pg',0,0,'en',1,1),(42841,187,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3230,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_6.pg',0,0,'en',0,1),(42842,228,0,_binary 'Colorado Community College System','Contrib',3230,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_36d.pg',0,0,'en',0,1),(42843,486,0,_binary 'Colorado Community College System','Contrib',3230,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_36d.pg',0,0,'en',0,1),(42844,229,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3230,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_23.pg',0,0,'en',1,1),(42845,487,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3230,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_23.pg',0,0,'en',1,1),(42846,268,196,_binary 'Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_47.pg',0,0,'en',0,1),(42847,526,196,_binary 'Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_47.pg',0,0,'en',0,1),(42848,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_7.pg',0,0,'en',0,1),(42849,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_7.pg',0,0,'en',0,1),(42850,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_51.pg',0,0,'en',0,1),(42851,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_51.pg',0,0,'en',0,1),(42852,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_15.pg',0,0,'en',0,1),(42853,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_15.pg',0,0,'en',0,1),(42854,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_54.pg',0,0,'en',0,1),(42855,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_54.pg',0,0,'en',0,1),(42856,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_28.pg',0,0,'en',0,1),(42857,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_28.pg',0,0,'en',0,1),(42858,268,196,_binary 'Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_39.pg',0,0,'en',0,1),(42859,526,196,_binary 'Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_39.pg',0,0,'en',0,1),(42860,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_11.pg',0,0,'en',0,1),(42861,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_11.pg',0,0,'en',0,1),(42862,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_25.pg',0,0,'en',0,1),(42863,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_25.pg',0,0,'en',0,1),(42864,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_17.pg',0,0,'en',0,1),(42865,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_17.pg',0,0,'en',0,1),(42866,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_21.pg',0,0,'en',0,1),(42867,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_21.pg',0,0,'en',0,1),(42868,268,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_13.pg',0,0,'en',0,1),(42869,526,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_13.pg',0,0,'en',0,1),(42870,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_9.pg',0,0,'en',0,1),(42871,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3231,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_9.pg',0,0,'en',0,1),(42872,1494,49,_binary 'Hope College','Contrib',3232,'RRCC_Openstax_Alg_Section6.1_Num6_44.pg',0,0,'en',0,1),(42873,285,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_44.pg',0,0,'en',0,1),(42874,543,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_44.pg',0,0,'en',0,1),(42875,293,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9.pg',0,0,'en',0,1),(42876,551,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9.pg',0,0,'en',0,1),(42877,293,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_4.pg',0,0,'en',0,1),(42878,551,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_4.pg',0,0,'en',0,1),(42879,293,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_65.pg',0,0,'en',0,1),(42880,551,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_65.pg',0,0,'en',0,1),(42881,1494,49,_binary 'Hope College','Contrib',3232,'RRCC_Openstax_Alg_Section6.1_Num6_28.pg',0,0,'en',0,1),(42882,291,212,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61.pg',0,0,'en',0,1),(42883,549,212,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61.pg',0,0,'en',0,1),(42884,1538,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_24.pg',0,0,'en',1,1),(42885,293,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_28.pg',0,0,'en',0,1),(42886,551,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_28.pg',0,0,'en',0,1),(42887,293,0,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_14.pg',0,0,'en',0,1),(42888,551,0,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_14.pg',0,0,'en',0,1),(42889,285,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_48.pg',0,0,'en',0,1),(42890,543,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_48.pg',0,0,'en',0,1),(42891,285,0,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_18.pg',0,0,'en',1,1),(42892,543,0,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_18.pg',0,0,'en',1,1),(42893,1538,212,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_23.pg',0,0,'en',1,1),(42894,1538,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_41.pg',0,0,'en',0,1),(42895,1494,49,_binary 'Hope College','Contrib',3232,'RRCC_Openstax_Alg_Section6.1_Num6_64.pg',0,0,'en',0,1),(42896,285,0,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_21.pg',0,0,'en',1,1),(42897,543,0,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_21.pg',0,0,'en',1,1),(42898,1538,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_26.pg',0,0,'en',1,1),(42899,293,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_39.pg',0,0,'en',0,1),(42900,551,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_39.pg',0,0,'en',0,1),(42901,293,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_40.pg',0,0,'en',0,1),(42902,551,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_40.pg',0,0,'en',0,1),(42903,1538,199,_binary 'Colorado Community College System','Contrib',3232,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_25.pg',0,0,'en',1,1),(42904,206,236,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_35.pg',0,0,'en',0,1),(42905,464,236,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_35.pg',0,0,'en',0,1),(42906,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_47.pg',0,0,'en',0,1),(42907,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_47.pg',0,0,'en',0,1),(42908,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_7.pg',0,0,'en',0,1),(42909,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_7.pg',0,0,'en',0,1),(42910,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_71.pg',0,0,'en',0,1),(42911,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_71.pg',0,0,'en',0,1),(42912,205,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_9.pg',0,0,'en',0,1),(42913,463,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_9.pg',0,0,'en',0,1),(42914,205,237,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_15.pg',0,0,'en',0,1),(42915,463,237,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_15.pg',0,0,'en',0,1),(42916,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_63.pg',0,0,'en',0,1),(42917,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_63.pg',0,0,'en',0,1),(42918,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_75.pg',0,0,'en',0,1),(42919,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_75.pg',0,0,'en',0,1),(42920,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_41.pg',0,0,'en',0,1),(42921,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_41.pg',0,0,'en',0,1),(42922,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_65.pg',0,0,'en',0,1),(42923,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_65.pg',0,0,'en',0,1),(42924,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_29.pg',0,0,'en',0,1),(42925,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_29.pg',0,0,'en',0,1),(42926,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_53.pg',0,0,'en',0,1),(42927,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_53.pg',0,0,'en',0,1),(42928,206,238,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_27.pg',0,0,'en',0,1),(42929,464,238,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_27.pg',0,0,'en',0,1),(42930,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_43.pg',0,0,'en',0,1),(42931,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_43.pg',0,0,'en',0,1),(42932,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_37.pg',0,0,'en',0,1),(42933,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_37.pg',0,0,'en',0,1),(42934,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_45.pg',0,0,'en',0,1),(42935,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_45.pg',0,0,'en',0,1),(42936,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_30.pg',0,0,'en',0,1),(42937,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_30.pg',0,0,'en',0,1),(42938,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_31.pg',0,0,'en',0,1),(42939,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_31.pg',0,0,'en',0,1),(42940,206,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_28.pg',0,0,'en',0,1),(42941,464,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_28.pg',0,0,'en',0,1),(42942,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_66.pg',0,0,'en',0,1),(42943,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3233,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_66.pg',0,0,'en',0,1),(42944,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_17.pg',0,0,'en',0,1),(42945,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_17.pg',0,0,'en',0,1),(42946,212,236,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_18.pg',0,0,'en',0,1),(42947,470,236,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_18.pg',0,0,'en',0,1),(42948,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7a.pg',0,0,'en',0,1),(42949,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7a.pg',0,0,'en',0,1),(42950,211,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_16.pg',0,0,'en',0,1),(42951,469,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_16.pg',0,0,'en',0,1),(42952,212,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_45.pg',0,0,'en',0,1),(42953,470,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_45.pg',0,0,'en',0,1),(42954,207,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_25.pg',0,0,'en',0,1),(42955,465,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_25.pg',0,0,'en',0,1),(42956,212,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_23.pg',0,0,'en',0,1),(42957,470,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_23.pg',0,0,'en',0,1),(42958,212,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_22.pg',0,0,'en',0,1),(42959,470,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_22.pg',0,0,'en',0,1),(42960,211,239,_binary 'Community College of Denver, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7b.pg',0,0,'en',0,1),(42961,469,239,_binary 'Community College of Denver, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7b.pg',0,0,'en',0,1),(42962,207,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_24.pg',0,0,'en',0,1),(42963,465,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_24.pg',0,0,'en',0,1),(42964,212,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_26.pg',0,0,'en',0,1),(42965,470,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_26.pg',0,0,'en',0,1),(42966,212,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_44.pg',0,0,'en',0,1),(42967,470,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3234,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_44.pg',0,0,'en',0,1),(42968,278,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_365.pg',0,0,'en',0,1),(42969,536,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_365.pg',0,0,'en',0,1),(42970,278,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_343.pg',0,0,'en',0,1),(42971,536,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_343.pg',0,0,'en',0,1),(42972,278,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_339.pg',0,0,'en',0,1),(42973,536,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_339.pg',0,0,'en',0,1),(42974,278,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_347.pg',0,0,'en',0,1),(42975,536,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_347.pg',0,0,'en',0,1),(42976,278,228,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_349.pg',0,0,'en',0,1),(42977,536,228,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_349.pg',0,0,'en',0,1),(42978,278,228,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_352.pg',0,0,'en',0,1),(42979,536,228,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_352.pg',0,0,'en',0,1),(42980,278,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_354.pg',0,0,'en',0,1),(42981,536,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_354.pg',0,0,'en',0,1),(42982,278,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_357.pg',0,0,'en',0,1),(42983,536,210,_binary 'Colorado Community College System','Contrib',3235,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_357.pg',0,0,'en',0,1),(42984,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3236,'RRCC_CCCS_Circles_1.pg',0,0,'en',0,1),(42985,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3236,'RRCC_CCCS_Circles_3.pg',0,0,'en',0,1),(42986,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3236,'RRCC_CCCS_Circles_4.pg',0,0,'en',0,1),(42987,198,199,_binary 'Commnity College of Denver, Colorado Community College System','Contrib',3236,'CCD_CCCS_Circles_7.pg',0,0,'en',0,1),(42988,198,199,_binary 'Commnity College of Denver, Colorado Community College System','Contrib',3236,'CCD_CCCS_Circles_8.pg',0,0,'en',0,1),(42989,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3236,'RRCC_CCCS_Circles_5.pg',0,0,'en',0,1),(42990,198,199,_binary 'Commnity College of Denver, Colorado Community College System','Contrib',3236,'CCD_CCCS_Circles_6.pg',0,0,'en',0,1),(42991,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3236,'RRCC_CCCS_Circles_2.pg',0,0,'en',0,1),(42992,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_13.pg',0,0,'en',0,1),(42993,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_13.pg',0,0,'en',0,1),(42994,255,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_7.pg',0,0,'en',0,0),(42995,513,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_7.pg',0,0,'en',0,0),(42996,1539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_24.pg',0,0,'en',0,1),(42997,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_33.pg',0,0,'en',0,1),(42998,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_33.pg',0,0,'en',0,1),(42999,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_28.pg',0,0,'en',0,1),(43000,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_28.pg',0,0,'en',0,1),(43001,1539,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_6.pg',0,0,'en',0,0),(43002,261,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_66.pg',0,0,'en',0,1),(43003,519,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_66.pg',0,0,'en',0,1),(43004,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_39.pg',0,0,'en',0,1),(43005,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_39.pg',0,0,'en',0,1),(43006,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_14.pg',0,0,'en',0,1),(43007,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_14.pg',0,0,'en',0,1),(43008,258,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_58.pg',0,0,'en',0,1),(43009,516,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_58.pg',0,0,'en',0,1),(43010,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_12.pg',0,0,'en',0,1),(43011,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_12.pg',0,0,'en',0,1),(43012,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_25.pg',0,0,'en',0,1),(43013,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_25.pg',0,0,'en',0,1),(43014,258,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_60.pg',0,0,'en',0,1),(43015,516,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_60.pg',0,0,'en',0,1),(43016,1539,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_9.pg',0,0,'en',0,0),(43017,258,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_53.pg',0,0,'en',0,1),(43018,516,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_53.pg',0,0,'en',0,1),(43019,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_37.pg',0,0,'en',0,1),(43020,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_37.pg',0,0,'en',0,1),(43021,1539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_22.pg',0,0,'en',0,1),(43022,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_31.pg',0,0,'en',0,1),(43023,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_31.pg',0,0,'en',0,1),(43024,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_34.pg',0,0,'en',0,1),(43025,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_34.pg',0,0,'en',0,1),(43026,258,204,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_51.pg',0,0,'en',0,1),(43027,516,204,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_51.pg',0,0,'en',0,1),(43028,1539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_20.pg',0,0,'en',0,1),(43029,258,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_55.pg',0,0,'en',0,1),(43030,516,240,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_55.pg',0,0,'en',0,1),(43031,1539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_17.pg',0,0,'en',0,1),(43032,1539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_23.pg',0,0,'en',0,1),(43033,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_36.pg',0,0,'en',0,1),(43034,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3237,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_36.pg',0,0,'en',0,1),(43035,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_34a.pg',0,0,'en',1,1),(43036,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_34a.pg',0,0,'en',1,1),(43037,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_14.pg',0,0,'en',1,1),(43038,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_14.pg',0,0,'en',1,1),(43039,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_13.pg',0,0,'en',1,1),(43040,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_13.pg',0,0,'en',1,1),(43041,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_34b.pg',0,0,'en',1,1),(43042,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_34b.pg',0,0,'en',1,1),(43043,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_11.pg',0,0,'en',1,1),(43044,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_11.pg',0,0,'en',1,1),(43045,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_32a.pg',0,0,'en',1,1),(43046,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_32a.pg',0,0,'en',1,1),(43047,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_12.pg',0,0,'en',1,1),(43048,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_12.pg',0,0,'en',1,1),(43049,300,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_32b.pg',0,0,'en',1,1),(43050,558,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3238,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_1_32b.pg',0,0,'en',1,1),(43051,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_7.pg',0,0,'en',0,1),(43052,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_7.pg',0,0,'en',0,1),(43053,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_9.pg',0,0,'en',0,1),(43054,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_9.pg',0,0,'en',0,1),(43055,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_6.pg',0,0,'en',0,1),(43056,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_6.pg',0,0,'en',0,1),(43057,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_31.pg',0,0,'en',0,1),(43058,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_31.pg',0,0,'en',0,1),(43059,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_16.pg',0,0,'en',0,1),(43060,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_16.pg',0,0,'en',0,1),(43061,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_10.pg',0,0,'en',0,1),(43062,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_10.pg',0,0,'en',0,1),(43063,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_17.pg',0,0,'en',0,1),(43064,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_17.pg',0,0,'en',0,1),(43065,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_29.pg',0,0,'en',0,1),(43066,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_29.pg',0,0,'en',0,1),(43067,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_8.pg',0,0,'en',0,1),(43068,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3239,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_8.pg',0,0,'en',0,1),(43069,1540,199,_binary 'Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9a.pg',0,0,'en',1,1),(43070,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9.pg',0,0,'en',1,1),(43071,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_11.pg',0,0,'en',1,1),(43072,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_23.pg',0,0,'en',0,1),(43073,285,199,_binary 'Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_45.pg',0,0,'en',0,1),(43074,543,199,_binary 'Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_45.pg',0,0,'en',0,1),(43075,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_19.pg',0,0,'en',1,1),(43076,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_27.pg',0,0,'en',1,1),(43077,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_43.pg',0,0,'en',0,1),(43078,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_43.pg',0,0,'en',0,1),(43079,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_44.pg',0,0,'en',0,1),(43080,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_44.pg',0,0,'en',0,1),(43081,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_28.pg',0,0,'en',1,1),(43082,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_32.pg',0,0,'en',0,1),(43083,1540,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3240,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_7.pg',0,0,'en',1,1),(43084,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_24.pg',0,0,'en',0,1),(43085,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_24.pg',0,0,'en',0,1),(43086,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_30.pg',0,0,'en',0,1),(43087,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_30.pg',0,0,'en',0,1),(43088,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_13.pg',0,0,'en',0,1),(43089,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_13.pg',0,0,'en',0,1),(43090,214,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_59.pg',0,0,'en',0,1),(43091,472,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_59.pg',0,0,'en',0,1),(43092,1540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32b.pg',0,0,'en',0,1),(43093,214,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_56.pg',0,0,'en',0,1),(43094,472,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_56.pg',0,0,'en',0,1),(43095,213,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_8.pg',0,0,'en',0,1),(43096,471,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_8.pg',0,0,'en',0,1),(43097,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_10.pg',0,0,'en',0,1),(43098,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_10.pg',0,0,'en',0,1),(43099,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_25.pg',0,0,'en',0,1),(43100,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_25.pg',0,0,'en',0,1),(43101,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_6.pg',0,0,'en',0,1),(43102,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_6.pg',0,0,'en',0,1),(43103,1540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_31.pg',0,0,'en',0,1),(43104,219,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_47.pg',0,0,'en',0,1),(43105,477,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_47.pg',0,0,'en',0,1),(43106,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_27.pg',0,0,'en',0,1),(43107,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_27.pg',0,0,'en',0,1),(43108,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_75.pg',0,0,'en',0,1),(43109,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_75.pg',0,0,'en',0,1),(43110,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_39.pg',0,0,'en',0,1),(43111,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_39.pg',0,0,'en',0,1),(43112,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_53.pg',0,0,'en',0,1),(43113,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_53.pg',0,0,'en',0,1),(43114,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_17.pg',0,0,'en',0,1),(43115,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_17.pg',0,0,'en',0,1),(43116,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_69.pg',0,0,'en',0,1),(43117,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_69.pg',0,0,'en',0,1),(43118,226,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_37.pg',0,0,'en',0,1),(43119,484,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_37.pg',0,0,'en',0,1),(43120,216,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_64.pg',0,0,'en',0,1),(43121,474,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_64.pg',0,0,'en',0,1),(43122,219,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_50.pg',0,0,'en',0,1),(43123,477,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_50.pg',0,0,'en',0,1),(43124,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_19.pg',0,0,'en',0,1),(43125,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_19.pg',0,0,'en',0,1),(43126,226,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_35.pg',0,0,'en',0,1),(43127,484,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_35.pg',0,0,'en',0,1),(43128,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_73.pg',0,0,'en',0,1),(43129,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_73.pg',0,0,'en',0,1),(43130,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_11.pg',0,0,'en',0,1),(43131,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_11.pg',0,0,'en',0,1),(43132,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_61.pg',0,0,'en',0,1),(43133,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_61.pg',0,0,'en',0,1),(43134,219,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_49.pg',0,0,'en',0,1),(43135,477,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_49.pg',0,0,'en',0,1),(43136,1540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32.pg',0,0,'en',0,1),(43137,220,216,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_77.pg',0,0,'en',0,1),(43138,478,216,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_77.pg',0,0,'en',0,1),(43139,1540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3241,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_21.pg',0,0,'en',0,1),(43140,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_39.pg',0,0,'en',1,1),(43141,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_39.pg',0,0,'en',1,1),(43142,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_32.pg',0,0,'en',1,1),(43143,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_32.pg',0,0,'en',1,1),(43144,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_38.pg',0,0,'en',1,1),(43145,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_38.pg',0,0,'en',1,1),(43146,298,199,_binary 'Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_4_6.pg',0,0,'en',0,1),(43147,556,199,_binary 'Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_4_6.pg',0,0,'en',0,1),(43148,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_34.pg',0,0,'en',1,1),(43149,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_34.pg',0,0,'en',1,1),(43150,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_15.pg',0,0,'en',1,1),(43151,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_15.pg',0,0,'en',1,1),(43152,298,199,_binary 'Community College of Denver,Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_4_8.pg',0,0,'en',0,1),(43153,556,199,_binary 'Community College of Denver,Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_4_8.pg',0,0,'en',0,1),(43154,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_19.pg',0,0,'en',1,1),(43155,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_19.pg',0,0,'en',1,1),(43156,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_17.pg',0,0,'en',1,1),(43157,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_17.pg',0,0,'en',1,1),(43158,298,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_13.pg',0,0,'en',1,1),(43159,556,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3242,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_3_13.pg',0,0,'en',1,1),(43160,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_17.pg',0,0,'en',0,1),(43161,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_17.pg',0,0,'en',0,1),(43162,257,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_16.pg',0,0,'en',0,1),(43163,515,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_16.pg',0,0,'en',0,1),(43164,262,241,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_41.pg',0,0,'en',0,1),(43165,520,241,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_41.pg',0,0,'en',0,1),(43166,254,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_43.pg',0,0,'en',0,1),(43167,512,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_43.pg',0,0,'en',0,1),(43168,257,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_14.pg',0,0,'en',0,1),(43169,515,227,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_14.pg',0,0,'en',0,1),(43170,254,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_45.pg',0,0,'en',0,1),(43171,512,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3243,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_45.pg',0,0,'en',0,1),(43172,290,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_26.pg',0,0,'en',0,1),(43173,548,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_26.pg',0,0,'en',0,1),(43174,287,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_7.pg',0,0,'en',0,1),(43175,545,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_7.pg',0,0,'en',0,1),(43176,287,0,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_13.pg',0,0,'en',0,1),(43177,545,0,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_13.pg',0,0,'en',0,1),(43178,288,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_52.pg',0,0,'en',0,1),(43179,546,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_52.pg',0,0,'en',0,1),(43180,290,193,_binary 'Community College of Denver','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_43.pg',0,0,'en',0,1),(43181,548,193,_binary 'Community College of Denver','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_43.pg',0,0,'en',0,1),(43182,287,0,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_17.pg',0,0,'en',0,1),(43183,545,0,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_17.pg',0,0,'en',0,1),(43184,287,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_9.pg',0,0,'en',0,1),(43185,545,196,_binary 'Red Rocks Community College','Contrib',3244,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_9.pg',0,0,'en',0,1),(43186,290,193,_binary 'Community College of Denver','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_45.pg',0,0,'en',0,1),(43187,548,193,_binary 'Community College of Denver','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_45.pg',0,0,'en',0,1),(43188,287,0,_binary 'Red Rocks Community College','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_15.pg',0,0,'en',0,1),(43189,545,0,_binary 'Red Rocks Community College','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_15.pg',0,0,'en',0,1),(43190,290,0,_binary 'Community College of Denver','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_41.pg',0,0,'en',0,1),(43191,548,0,_binary 'Community College of Denver','Contrib',3244,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_41.pg',0,0,'en',0,1),(43192,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_33.pg',0,0,'en',0,1),(43193,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_33.pg',0,0,'en',0,1),(43194,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_15.pg',0,0,'en',0,1),(43195,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_15.pg',0,0,'en',0,1),(43196,209,242,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_45.pg',0,0,'en',0,1),(43197,467,242,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_45.pg',0,0,'en',0,1),(43198,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_10.pg',0,0,'en',0,1),(43199,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_10.pg',0,0,'en',0,1),(43200,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_39.pg',0,0,'en',0,1),(43201,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_39.pg',0,0,'en',0,1),(43202,209,17,_binary 'University of Missouri-Columbia','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_SUP1.pg',2368,2,'en',0,1),(43203,467,17,_binary 'University of Missouri-Columbia','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_SUP1.pg',2368,2,'en',0,1),(43204,208,217,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_27.pg',0,0,'en',0,1),(43205,466,217,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_27.pg',0,0,'en',0,1),(43206,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_8.pg',0,0,'en',0,1),(43207,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_8.pg',0,0,'en',0,1),(43208,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_17.pg',0,0,'en',0,1),(43209,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_17.pg',0,0,'en',0,1),(43210,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_31.pg',0,0,'en',0,1),(43211,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_31.pg',0,0,'en',0,1),(43212,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_32.pg',0,0,'en',0,1),(43213,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_32.pg',0,0,'en',0,1),(43214,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_51.pg',0,0,'en',0,1),(43215,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_51.pg',0,0,'en',0,1),(43216,208,242,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_41.pg',0,0,'en',0,1),(43217,466,242,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_41.pg',0,0,'en',0,1),(43218,209,242,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_49.pg',0,0,'en',0,1),(43219,467,242,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_49.pg',0,0,'en',0,1),(43220,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_47.pg',0,0,'en',0,1),(43221,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_47.pg',0,0,'en',0,1),(43222,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_6.pg',0,0,'en',0,1),(43223,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_6.pg',0,0,'en',0,1),(43224,209,217,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_43.pg',0,0,'en',0,1),(43225,467,217,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3245,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_43.pg',0,0,'en',0,1),(43226,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_57.pg',0,0,'en',0,1),(43227,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_57.pg',0,0,'en',0,1),(43228,288,228,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_21.pg',0,0,'en',0,1),(43229,546,228,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_21.pg',0,0,'en',0,1),(43230,288,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_37.pg',0,0,'en',0,1),(43231,546,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_37.pg',0,0,'en',0,1),(43232,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_19.pg',0,0,'en',0,1),(43233,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_19.pg',0,0,'en',0,1),(43234,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_17.pg',0,0,'en',0,1),(43235,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_17.pg',0,0,'en',0,1),(43236,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_23.pg',0,0,'en',0,1),(43237,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_23.pg',0,0,'en',0,1),(43238,288,212,_binary 'Community College of Denver','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_8.pg',0,0,'en',0,1),(43239,546,212,_binary 'Community College of Denver','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_8.pg',0,0,'en',0,1),(43240,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_41.pg',0,0,'en',0,1),(43241,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_41.pg',0,0,'en',0,1),(43242,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_29.pg',0,0,'en',0,1),(43243,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_29.pg',0,0,'en',0,1),(43244,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_43.pg',0,0,'en',0,1),(43245,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_43.pg',0,0,'en',0,1),(43246,288,199,_binary 'Community College of Denver','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_4.pg',0,0,'en',0,1),(43247,546,199,_binary 'Community College of Denver','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_4.pg',0,0,'en',0,1),(43248,288,227,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_11.pg',0,0,'en',0,1),(43249,546,227,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_11.pg',0,0,'en',0,1),(43250,288,227,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_7.pg',0,0,'en',0,1),(43251,546,227,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_7.pg',0,0,'en',0,1),(43252,288,228,_binary 'Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_15.pg',0,0,'en',0,1),(43253,546,228,_binary 'Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_15.pg',0,0,'en',0,1),(43254,291,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_67.pg',0,0,'en',0,1),(43255,549,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_67.pg',0,0,'en',0,1),(43256,288,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_45.pg',0,0,'en',0,1),(43257,546,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_45.pg',0,0,'en',0,1),(43258,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_25.pg',0,0,'en',0,1),(43259,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_25.pg',0,0,'en',0,1),(43260,288,227,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_33.pg',0,0,'en',0,1),(43261,546,227,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_33.pg',0,0,'en',0,1),(43262,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_49.pg',0,0,'en',0,1),(43263,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_49.pg',0,0,'en',0,1),(43264,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_13.pg',0,0,'en',0,1),(43265,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_13.pg',0,0,'en',0,1),(43266,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_39.pg',0,0,'en',0,1),(43267,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_39.pg',0,0,'en',0,1),(43268,288,199,_binary 'Community College of Denver','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_5.pg',0,0,'en',0,1),(43269,546,199,_binary 'Community College of Denver','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_5.pg',0,0,'en',0,1),(43270,288,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_31.pg',0,0,'en',0,1),(43271,546,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_31.pg',0,0,'en',0,1),(43272,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_47.pg',0,0,'en',0,1),(43273,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3246,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_47.pg',0,0,'en',0,1),(43274,288,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_12.pg',0,0,'en',0,1),(43275,546,196,_binary 'Red Rocks Community College','Contrib',3246,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_12.pg',0,0,'en',0,1),(43276,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_13.pg',0,0,'en',1,1),(43277,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_13.pg',0,0,'en',1,1),(43278,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_33.pg',0,0,'en',1,1),(43279,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_33.pg',0,0,'en',1,1),(43280,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_31.pg',0,0,'en',1,1),(43281,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_31.pg',0,0,'en',1,1),(43282,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_34.pg',0,0,'en',1,1),(43283,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_34.pg',0,0,'en',1,1),(43284,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_11.pg',0,0,'en',1,1),(43285,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_11.pg',0,0,'en',1,1),(43286,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_14b.pg',0,0,'en',1,1),(43287,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_14b.pg',0,0,'en',1,1),(43288,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_14a.pg',0,0,'en',1,1),(43289,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_14a.pg',0,0,'en',1,1),(43290,301,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_35.pg',0,0,'en',1,1),(43291,559,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3247,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_12_2_35.pg',0,0,'en',1,1),(43292,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_29.pg',0,0,'en',0,1),(43293,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_29.pg',0,0,'en',0,1),(43294,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_11.pg',0,0,'en',0,1),(43295,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_11.pg',0,0,'en',0,1),(43296,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25.pg',0,0,'en',0,1),(43297,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25.pg',0,0,'en',0,1),(43298,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_09.pg',0,0,'en',0,1),(43299,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_09.pg',0,0,'en',0,1),(43300,286,227,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_36.pg',0,0,'en',0,1),(43301,544,227,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_36.pg',0,0,'en',0,1),(43302,286,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_53.pg',0,0,'en',0,1),(43303,544,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_53.pg',0,0,'en',0,1),(43304,288,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_16.pg',0,0,'en',0,1),(43305,546,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_16.pg',0,0,'en',0,1),(43306,286,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_41.pg',0,0,'en',0,1),(43307,544,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_41.pg',0,0,'en',0,1),(43308,286,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43.pg',0,0,'en',0,1),(43309,544,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43.pg',0,0,'en',0,1),(43310,288,234,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_35.pg',0,0,'en',0,1),(43311,546,234,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_35.pg',0,0,'en',0,1),(43312,288,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_12.pg',0,0,'en',0,1),(43313,546,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_12.pg',0,0,'en',0,1),(43314,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_27.pg',0,0,'en',0,1),(43315,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_27.pg',0,0,'en',0,1),(43316,286,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_51.pg',0,0,'en',0,1),(43317,544,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_51.pg',0,0,'en',0,1),(43318,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_19.pg',0,0,'en',0,1),(43319,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_19.pg',0,0,'en',0,1),(43320,286,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_49.pg',0,0,'en',0,1),(43321,544,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_49.pg',0,0,'en',0,1),(43322,288,227,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_07.pg',0,0,'en',0,1),(43323,546,227,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_07.pg',0,0,'en',0,1),(43324,286,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_39.pg',0,0,'en',0,1),(43325,544,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_39.pg',0,0,'en',0,1),(43326,288,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_06.pg',0,0,'en',0,1),(43327,546,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_06.pg',0,0,'en',0,1),(43328,288,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23.pg',0,0,'en',0,1),(43329,546,193,_binary 'Community College of Denver','Contrib',3248,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23.pg',0,0,'en',0,1),(43330,286,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_44.pg',0,0,'en',0,1),(43331,544,196,_binary 'Red Rocks Community College','Contrib',3248,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_44.pg',0,0,'en',0,1),(43332,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_51.pg',0,0,'en',0,1),(43333,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_51.pg',0,0,'en',0,1),(43334,260,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_48.pg',0,0,'en',0,1),(43335,518,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_48.pg',0,0,'en',0,1),(43336,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_23.pg',0,0,'en',0,1),(43337,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_23.pg',0,0,'en',0,1),(43338,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_19.pg',0,0,'en',0,1),(43339,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_19.pg',0,0,'en',0,1),(43340,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_30.pg',0,0,'en',0,1),(43341,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_30.pg',0,0,'en',0,1),(43342,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_60.pg',0,0,'en',0,1),(43343,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_60.pg',0,0,'en',0,1),(43344,255,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_57.pg',0,0,'en',0,1),(43345,513,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_57.pg',0,0,'en',0,1),(43346,261,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_75.pg',0,0,'en',0,1),(43347,519,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_75.pg',0,0,'en',0,1),(43348,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_11.pg',0,0,'en',0,1),(43349,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_11.pg',0,0,'en',0,1),(43350,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_37.pg',0,0,'en',0,1),(43351,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_37.pg',0,0,'en',0,1),(43352,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_46.pg',0,0,'en',0,1),(43353,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_46.pg',0,0,'en',0,1),(43354,258,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_32.pg',0,0,'en',0,1),(43355,516,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_32.pg',0,0,'en',0,1),(43356,261,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_79.pg',0,0,'en',0,1),(43357,519,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_79.pg',0,0,'en',0,1),(43358,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_16.pg',0,0,'en',0,1),(43359,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_16.pg',0,0,'en',0,1),(43360,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_8.pg',0,0,'en',0,1),(43361,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3249,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_3_8.pg',0,0,'en',0,1),(43362,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_226.pg',0,0,'en',0,0),(43363,49,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_197.pg',0,0,'en',0,0),(43364,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_228.pg',0,0,'en',0,0),(43365,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_217.pg',0,0,'en',0,0),(43366,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_214.pg',0,0,'en',0,0),(43367,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_202.pg',0,0,'en',0,0),(43368,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_194.pg',0,0,'en',0,0),(43369,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_210.pg',0,0,'en',0,0),(43370,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_246_250.pg',0,0,'en',0,0),(43371,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_218.pg',0,0,'en',0,0),(43372,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_213.pg',0,0,'en',0,0),(43373,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_234.pg',0,0,'en',0,0),(43374,44,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3250,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_5_241.pg',0,0,'en',0,0),(43375,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_175.pg',0,0,'en',0,0),(43376,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_190.pg',0,0,'en',0,0),(43377,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_165.pg',0,0,'en',0,0),(43378,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_153.pg',0,0,'en',0,0),(43379,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_172.pg',0,0,'en',0,0),(43380,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_167.pg',0,0,'en',0,0),(43381,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_176.pg',0,0,'en',0,0),(43382,43,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3251,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_4_157.pg',0,0,'en',0,0),(43383,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_213.pg',0,0,'en',0,0),(43384,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_208.pg',0,0,'en',0,0),(43385,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_219.pg',0,0,'en',0,0),(43386,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_223.pg',0,0,'en',0,0),(43387,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_226.pg',0,0,'en',0,0),(43388,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_210.pg',0,0,'en',0,0),(43389,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_207.pg',0,0,'en',0,0),(43390,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_227.pg',0,0,'en',0,0),(43391,65,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_212.pg',0,0,'en',0,0),(43392,65,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3252,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_211.pg',0,0,'en',0,0),(43393,32,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_283.pg',0,0,'en',0,1),(43394,31,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_264.pg',0,0,'en',0,1),(43395,32,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_280.pg',0,0,'en',0,1),(43396,44,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_296.pg',0,0,'en',0,1),(43397,32,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_281.pg',0,0,'en',0,1),(43398,32,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_288.pg',0,0,'en',0,1),(43399,31,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_269.pg',0,0,'en',0,1),(43400,44,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_297.pg',0,0,'en',0,1),(43401,31,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_265.pg',0,0,'en',0,1),(43402,31,245,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_271.pg',0,0,'en',0,1),(43403,31,0,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_272.pg',0,0,'en',0,1),(43404,32,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_284.pg',0,0,'en',0,1),(43405,31,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_270.pg',0,0,'en',0,1),(43406,32,244,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_279.pg',0,0,'en',0,1),(43407,31,0,_binary 'Colorado Community College System','Contrib',3253,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_7_277.pg',0,0,'en',0,1),(43408,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_002.pg',0,0,'en',0,0),(43409,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_022.pg',0,0,'en',0,0),(43410,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_007.pg',0,0,'en',0,0),(43411,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_001.pg',0,0,'en',0,0),(43412,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_005.pg',0,0,'en',0,0),(43413,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_011.pg',0,0,'en',0,0),(43414,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_006.pg',0,0,'en',0,0),(43415,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_019.pg',0,0,'en',0,0),(43416,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_028.pg',0,0,'en',0,0),(43417,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_004.pg',0,0,'en',0,0),(43418,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_010.pg',0,0,'en',0,0),(43419,67,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3254,'CCD_CCCS_Openstax_Calc1_C1-2016-002_6_1_008.pg',0,0,'en',0,0),(43420,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_476.pg',0,0,'en',0,0),(43421,63,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_507.pg',0,0,'en',0,0),(43422,93,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_512.pg',0,0,'en',0,0),(43423,63,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_488.pg',0,0,'en',0,0),(43424,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_478.pg',0,0,'en',0,0),(43425,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_500.pg',0,0,'en',0,0),(43426,63,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_489.pg',0,0,'en',0,0),(43427,62,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_493.pg',0,0,'en',0,0),(43428,63,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_482.pg',0,0,'en',0,0),(43429,63,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_517.pg',0,0,'en',0,0),(43430,63,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_471.pg',0,0,'en',0,0),(43431,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_484.pg',0,0,'en',0,0),(43432,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_520.pg',0,0,'en',0,0),(43433,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_479.pg',0,0,'en',0,0),(43434,62,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_470.pg',0,0,'en',0,0),(43435,62,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_496.pg',0,0,'en',0,0),(43436,93,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3255,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_10_511.pg',0,0,'en',0,0),(43437,13,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_103_106.pg',0,0,'en',0,0),(43438,2,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_118_120.pg',0,0,'en',0,0),(43439,3,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_88_92.pg',0,0,'en',0,0),(43440,4,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_93_102.pg',0,0,'en',0,0),(43441,3,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_85.pg',0,0,'en',0,0),(43442,8,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_126.pg',0,0,'en',0,0),(43443,8,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_127.pg',0,0,'en',0,0),(43444,3,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3256,'CCD_CCCS_Openstax_Calc1_C1-2016-002_03_107_112.pg',0,0,'en',0,0),(43445,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_88.pg',0,0,'en',0,0),(43446,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_139.pg',0,0,'en',0,0),(43447,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_141.pg',0,0,'en',0,0),(43448,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_82.pg',0,0,'en',0,0),(43449,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_100.pg',0,0,'en',0,0),(43450,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_84.pg',0,0,'en',0,0),(43451,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_67.pg',0,0,'en',0,0),(43452,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_106.pg',0,0,'en',0,0),(43453,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_61.pg',0,0,'en',0,0),(43454,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_138.pg',0,0,'en',0,0),(43455,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_140.pg',0,0,'en',0,0),(43456,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_72.pg',0,0,'en',0,0),(43457,84,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_112.pg',0,0,'en',0,0),(43458,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_71.pg',0,0,'en',0,0),(43459,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_79.pg',0,0,'en',0,0),(43460,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_77.pg',0,0,'en',0,0),(43461,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_64.pg',0,0,'en',0,0),(43462,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_105.pg',0,0,'en',0,0),(43463,84,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_113.pg',0,0,'en',0,0),(43464,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3257,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_2_104.pg',0,0,'en',0,0),(43465,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_65.pg',0,0,'en',0,1),(43466,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_75.pg',0,0,'en',0,1),(43467,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_69.pg',0,0,'en',0,1),(43468,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_63.pg',0,0,'en',0,1),(43469,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_83.pg',0,0,'en',0,1),(43470,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_79.pg',0,0,'en',0,1),(43471,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_57.pg',0,0,'en',0,1),(43472,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_59.pg',0,0,'en',0,1),(43473,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_55.pg',0,0,'en',0,1),(43474,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_46.pg',0,0,'en',0,1),(43475,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_51.pg',0,0,'en',0,1),(43476,56,244,_binary 'Colorado Community College System','Contrib',3258,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_2_71.pg',0,0,'en',0,1),(43477,14,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_264.pg',0,0,'en',0,0),(43478,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_259.pg',0,0,'en',0,0),(43479,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_274.pg',0,0,'en',0,0),(43480,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_273.pg',0,0,'en',0,0),(43481,14,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_270.pg',0,0,'en',0,0),(43482,1541,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_302.pg',0,0,'en',0,0),(43483,14,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_293.pg',0,0,'en',0,0),(43484,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_284.pg',0,0,'en',0,0),(43485,1541,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_287.pg',0,0,'en',0,0),(43486,14,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_267.pg',0,0,'en',0,0),(43487,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_254.pg',0,0,'en',0,0),(43488,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_272.pg',0,0,'en',0,0),(43489,14,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_265.pg',0,0,'en',0,0),(43490,13,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_310.pg',0,0,'en',0,0),(43491,1541,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_301.pg',0,0,'en',0,0),(43492,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3259,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_6_295.pg',0,0,'en',0,0),(43493,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_339.pg',0,0,'en',0,0),(43494,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_348.pg',0,0,'en',0,0),(43495,1,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_314.pg',0,0,'en',0,0),(43496,1541,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_313.pg',0,0,'en',0,0),(43497,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_316.pg',0,0,'en',0,0),(43498,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_351.pg',0,0,'en',0,0),(43499,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_329.pg',0,0,'en',0,0),(43500,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_315.pg',0,0,'en',0,0),(43501,53,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_332_334.pg',0,0,'en',0,0),(43502,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_318.pg',0,0,'en',0,0),(43503,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_343.pg',0,0,'en',0,0),(43504,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_353.pg',0,0,'en',0,0),(43505,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_319.pg',0,0,'en',0,0),(43506,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_320.pg',0,0,'en',0,0),(43507,52,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3260,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_7_354.pg',0,0,'en',0,0),(43508,22,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_122.pg',0,0,'en',0,1),(43509,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_109.pg',0,0,'en',0,1),(43510,26,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_116.pg',0,0,'en',0,1),(43511,26,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_117.pg',0,0,'en',0,1),(43512,40,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_111.pg',0,0,'en',0,1),(43513,26,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_115.pg',0,0,'en',0,1),(43514,26,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_125.pg',0,0,'en',0,1),(43515,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_112.pg',0,0,'en',0,1),(43516,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_106.pg',0,0,'en',0,1),(43517,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_137.pg',0,0,'en',0,1),(43518,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_110.pg',0,0,'en',0,1),(43519,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_118.pg',0,0,'en',0,1),(43520,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_107.pg',0,0,'en',0,1),(43521,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_121.pg',0,0,'en',0,1),(43522,24,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_123.pg',0,0,'en',0,1),(43523,24,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_124.pg',0,0,'en',0,1),(43524,22,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_130.pg',0,0,'en',0,1),(43525,39,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_126_129.pg',0,0,'en',0,1),(43526,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_119.pg',0,0,'en',0,1),(43527,23,201,_binary 'Colorado Community College System','Contrib',3261,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_3_138.pg',0,0,'en',0,1),(43528,17,246,_binary 'Community College of Denver, Colorado Community College System','Contrib',3262,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_1_1_3.pg',0,0,'en',0,0),(43529,17,246,_binary 'Community College of Denver, Colorado Community College System','Contrib',3262,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_1_7_9.pg',0,0,'en',0,0),(43530,16,246,_binary 'Community College of Denver, Colorado Community College System','Contrib',3262,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_1_22_23.pg',0,0,'en',0,0),(43531,17,246,_binary 'Community College of Denver, Colorado Community College System','Contrib',3262,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_1_13_15.pg',0,0,'en',0,0),(43532,16,246,_binary 'Community College of Denver, Colorado Community College System','Contrib',3262,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_1_20_21.pg',0,0,'en',0,0),(43533,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_306.pg',0,0,'en',0,1),(43534,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_320.pg',0,0,'en',0,1),(43535,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_301.pg',0,0,'en',0,1),(43536,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_311.pg',0,0,'en',0,1),(43537,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_312.pg',0,0,'en',0,1),(43538,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_307.pg',0,0,'en',0,1),(43539,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_322.pg',0,0,'en',0,1),(43540,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_308.pg',0,0,'en',0,1),(43541,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_302.pg',0,0,'en',0,1),(43542,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_300.pg',0,0,'en',0,1),(43543,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_326.pg',0,0,'en',0,1),(43544,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_309.pg',0,0,'en',0,1),(43545,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_304.pg',0,0,'en',0,1),(43546,42,244,_binary 'Colorado Community College System','Contrib',3263,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_8_310.pg',0,0,'en',0,1),(43547,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_333.pg',0,0,'en',0,0),(43548,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_350.pg',0,0,'en',0,0),(43549,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_330.pg',0,0,'en',0,0),(43550,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_362.pg',0,0,'en',0,0),(43551,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_359.pg',0,0,'en',0,0),(43552,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_372.pg',0,0,'en',0,0),(43553,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_340.pg',0,0,'en',0,0),(43554,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_320.pg',0,0,'en',0,0),(43555,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_374.pg',0,0,'en',0,0),(43556,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_340_a.pg',0,0,'en',0,0),(43557,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_324.pg',0,0,'en',0,0),(43558,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_360.pg',0,0,'en',0,0),(43559,64,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3264,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_322.pg',0,0,'en',0,0),(43560,20,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3265,'CCD_CCCS_Openstax_Calc1_C1-2016-002_05_176.pg',0,0,'en',0,0),(43561,20,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3265,'CCD_CCCS_Openstax_Calc1_C1-2016-002_05_188.pg',0,0,'en',0,0),(43562,20,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3265,'CCD_CCCS_Openstax_Calc1_C1-2016-002_05_184_185.pg',0,0,'en',0,0),(43563,20,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3265,'CCD_CCCS_Openstax_Calc1_C1-2016-002_05_182_183.pg',0,0,'en',0,0),(43564,20,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3265,'CCD_CCCS_Openstax_Calc1_C1-2016-002_05_180_181.pg',0,0,'en',0,0),(43565,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_27.pg',0,0,'en',0,1),(43566,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_15.pg',0,0,'en',0,1),(43567,57,247,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_5.pg',0,0,'en',0,1),(43568,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_14.pg',0,0,'en',0,1),(43569,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_23.pg',0,0,'en',0,1),(43570,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_35.pg',0,0,'en',0,1),(43571,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_19.pg',0,0,'en',0,1),(43572,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_21.pg',0,0,'en',0,1),(43573,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_43.pg',0,0,'en',0,1),(43574,57,248,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_11.pg',0,0,'en',0,1),(43575,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_37.pg',0,0,'en',0,1),(43576,42,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_3.pg',0,0,'en',0,1),(43577,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_30.pg',0,0,'en',0,1),(43578,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_17.pg',0,0,'en',0,1),(43579,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_9.pg',0,0,'en',0,1),(43580,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_25.pg',0,0,'en',0,1),(43581,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_7.pg',0,0,'en',0,1),(43582,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_45.pg',0,0,'en',0,1),(43583,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_33.pg',0,0,'en',0,1),(43584,57,244,_binary 'Colorado Community College System','Contrib',3266,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_1_29.pg',0,0,'en',0,1),(43585,25,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_178.pg',0,0,'en',0,1),(43586,25,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_197.pg',0,0,'en',0,1),(43587,25,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_177.pg',0,0,'en',0,1),(43588,37,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_212.pg',0,0,'en',0,1),(43589,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_176.pg',0,0,'en',0,1),(43590,37,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_209.pg',0,0,'en',0,1),(43591,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_186.pg',0,0,'en',0,1),(43592,37,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_196.pg',0,0,'en',0,1),(43593,37,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_194.pg',0,0,'en',0,1),(43594,46,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_200.pg',0,0,'en',0,1),(43595,27,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_183.pg',0,0,'en',0,1),(43596,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_185.pg',0,0,'en',0,1),(43597,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_189.pg',0,0,'en',0,1),(43598,25,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_180.pg',0,0,'en',0,1),(43599,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_175.pg',0,0,'en',0,1),(43600,37,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_191.pg',0,0,'en',0,1),(43601,37,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_192.pg',0,0,'en',0,1),(43602,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_188.pg',0,0,'en',0,1),(43603,27,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_179.pg',0,0,'en',0,1),(43604,28,201,_binary 'Colorado Community College System','Contrib',3267,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_5_198.pg',0,0,'en',0,1),(43605,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_4.pg',0,0,'en',0,0),(43606,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_23.pg',0,0,'en',0,0),(43607,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_13.pg',0,0,'en',0,0),(43608,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_34.pg',0,0,'en',0,0),(43609,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_44.pg',0,0,'en',0,0),(43610,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_20.pg',0,0,'en',0,0),(43611,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_1.pg',0,0,'en',0,0),(43612,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_57.pg',0,0,'en',0,0),(43613,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_17.pg',0,0,'en',0,0),(43614,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_42.pg',0,0,'en',0,0),(43615,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_11.pg',0,0,'en',0,0),(43616,66,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3268,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_1_10.pg',0,0,'en',0,0),(43617,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_220.pg',0,0,'en',0,1),(43618,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_237.pg',0,0,'en',0,1),(43619,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_214.pg',0,0,'en',0,1),(43620,40,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_234.pg',0,0,'en',0,1),(43621,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_226.pg',0,0,'en',0,1),(43622,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_232.pg',0,0,'en',0,1),(43623,40,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_248.pg',0,0,'en',0,1),(43624,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_229.pg',0,0,'en',0,1),(43625,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_235.pg',0,0,'en',0,1),(43626,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_223.pg',0,0,'en',0,1),(43627,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_221.pg',0,0,'en',0,1),(43628,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_225.pg',0,0,'en',0,1),(43629,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_228.pg',0,0,'en',0,1),(43630,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_238.pg',0,0,'en',0,1),(43631,36,249,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_224.pg',0,0,'en',0,1),(43632,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_216.pg',0,0,'en',0,1),(43633,35,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_242.pg',0,0,'en',0,1),(43634,44,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_254.pg',0,0,'en',0,1),(43635,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_222.pg',0,0,'en',0,1),(43636,36,244,_binary 'Colorado Community College System','Contrib',3269,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_6_227.pg',0,0,'en',0,1),(43637,84,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_200.pg',0,0,'en',0,0),(43638,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_182.pg',0,0,'en',0,0),(43639,84,250,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_sup1.pg',0,0,'en',0,0),(43640,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_180.pg',0,0,'en',0,0),(43641,84,250,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_sup2.pg',0,0,'en',0,0),(43642,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_185.pg',0,0,'en',0,0),(43643,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_160.pg',0,0,'en',0,0),(43644,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_176.pg',0,0,'en',0,0),(43645,61,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_191.pg',0,0,'en',0,0),(43646,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_179.pg',0,0,'en',0,0),(43647,22,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_146.pg',0,0,'en',0,0),(43648,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_155.pg',0,0,'en',0,0),(43649,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_149.pg',0,0,'en',0,0),(43650,22,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_144.pg',0,0,'en',0,0),(43651,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_153.pg',0,0,'en',0,0),(43652,67,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_195.pg',0,0,'en',0,0),(43653,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_189.pg',0,0,'en',0,0),(43654,69,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3270,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_3_173.pg',0,0,'en',0,0),(43655,20,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_157.pg',0,0,'en',0,0),(43656,11,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_134.pg',0,0,'en',0,0),(43657,11,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_138.pg',0,0,'en',0,0),(43658,11,246,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_133.pg',0,0,'en',0,0),(43659,11,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_136.pg',0,0,'en',0,0),(43660,12,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_153.pg',0,0,'en',0,0),(43661,10,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_145_147.pg',0,0,'en',0,0),(43662,11,251,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_154.pg',0,0,'en',0,0),(43663,11,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_139_143.pg',0,0,'en',0,0),(43664,11,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3271,'CCD_CCCS_Openstax_Calc1_C1-2016-002_04_135.pg',0,0,'en',0,0),(43665,40,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_333.pg',0,0,'en',0,1),(43666,26,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_335.pg',0,0,'en',0,1),(43667,29,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_345.pg',0,0,'en',0,1),(43668,40,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_334.pg',0,0,'en',0,1),(43669,41,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_346.pg',0,0,'en',0,1),(43670,29,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_337.pg',0,0,'en',0,1),(43671,24,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_331.pg',0,0,'en',0,1),(43672,30,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_340.pg',0,0,'en',0,1),(43673,29,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_339.pg',0,0,'en',0,1),(43674,41,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_350.pg',0,0,'en',0,1),(43675,35,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_344.pg',0,0,'en',0,1),(43676,36,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_338.pg',0,0,'en',0,1),(43677,41,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_357.pg',0,0,'en',0,1),(43678,26,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_336.pg',0,0,'en',0,1),(43679,30,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_342.pg',0,0,'en',0,1),(43680,41,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_352.pg',0,0,'en',0,1),(43681,42,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_356.pg',0,0,'en',0,1),(43682,41,252,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_353.pg',0,0,'en',0,1),(43683,26,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_332.pg',0,0,'en',0,1),(43684,41,244,_binary 'Colorado Community College System','Contrib',3272,'CCD_CCCS_Openstax_Calc1_C1-2016-002_3_9_347.pg',0,0,'en',0,1),(43685,15,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_38.pg',0,0,'en',0,0),(43686,15,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_41.pg',0,0,'en',0,0),(43687,2,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_71_75.pg',0,0,'en',0,0),(43688,15,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_35.pg',0,0,'en',0,0),(43689,15,253,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_43.pg',0,0,'en',0,0),(43690,2,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_50_54.pg',0,0,'en',0,0),(43691,2,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_46_49.pg',0,0,'en',0,0),(43692,15,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_39.pg',0,0,'en',0,0),(43693,2,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_59_64.pg',0,0,'en',0,0),(43694,2,254,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_76.pg',0,0,'en',0,0),(43695,2,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_77.pg',0,0,'en',0,0),(43696,15,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_30_31.pg',0,0,'en',0,0),(43697,15,220,_binary 'Community College of Denver, Colorado Community College System','Contrib',3273,'CCD_CCCS_Openstax_Calc1_C1-2016-002_02_2_40.pg',0,0,'en',0,0),(43698,44,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_155.pg',0,0,'en',0,0),(43699,44,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_158.pg',0,0,'en',0,0),(43700,45,201,_binary 'Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_160.pg',0,0,'en',0,1),(43701,44,255,_binary 'Community College of Denver, Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_153.pg',0,0,'en',0,0),(43702,44,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_154.pg',0,0,'en',0,0),(43703,44,201,_binary 'Community College of Denver, Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_151.pg',0,0,'en',0,0),(43704,44,201,_binary 'Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_159.pg',0,0,'en',0,1),(43705,46,201,_binary 'Colorado Community College System','Contrib',3274,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_4_166.pg',0,0,'en',0,1),(43706,21,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_57.pg',0,0,'en',0,1),(43707,21,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_55.pg',0,0,'en',0,1),(43708,21,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_70.pg',0,0,'en',0,1),(43709,22,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_78.pg',0,0,'en',0,1),(43710,21,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_68.pg',0,0,'en',0,1),(43711,22,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_80.pg',0,0,'en',0,1),(43712,22,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_64.pg',0,0,'en',0,1),(43713,21,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_61.pg',0,0,'en',0,1),(43714,22,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_65.pg',0,0,'en',0,1),(43715,22,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_66.pg',0,0,'en',0,1),(43716,21,201,_binary 'Colorado Community College System','Contrib',3275,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_2_59.pg',0,0,'en',0,1),(43717,71,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_271.pg',0,0,'en',0,0),(43718,71,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_256.pg',0,0,'en',0,0),(43719,71,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_265.pg',0,0,'en',0,0),(43720,72,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_276.pg',0,0,'en',0,0),(43721,71,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_259.pg',0,0,'en',0,0),(43722,72,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_278.pg',0,0,'en',0,0),(43723,72,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_279.pg',0,0,'en',0,0),(43724,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_264.pg',0,0,'en',0,0),(43725,72,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_296.pg',0,0,'en',0,0),(43726,72,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_306.pg',0,0,'en',0,0),(43727,72,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3276,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_5_284.pg',0,0,'en',0,0),(43728,21,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_26.pg',0,0,'en',0,0),(43729,17,201,_binary 'Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_31.pg',0,0,'en',0,1),(43730,17,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_16.pg',0,0,'en',0,0),(43731,16,201,_binary 'Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_36.pg',0,0,'en',0,1),(43732,21,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_21.pg',0,0,'en',0,0),(43733,17,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_11.pg',0,0,'en',0,0),(43734,17,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_13.pg',0,0,'en',0,0),(43735,21,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_23.pg',0,0,'en',0,0),(43736,17,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_15.pg',0,0,'en',0,0),(43737,21,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3277,'CCD_CCCS_Openstax_Calculus_C1-2016-002_3_1_28.pg',0,0,'en',0,0),(43738,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_134.pg',0,0,'en',0,0),(43739,1521,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_94.pg',0,0,'en',0,0),(43740,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_111.pg',0,0,'en',0,0),(43741,50,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_119.pg',0,0,'en',0,0),(43742,1521,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_98.pg',0,0,'en',0,0),(43743,50,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_144.pg',0,0,'en',0,0),(43744,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_103.pg',0,0,'en',0,0),(43745,50,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_92.pg',0,0,'en',0,0),(43746,50,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_123.pg',0,0,'en',0,0),(43747,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_90.pg',0,0,'en',0,0),(43748,50,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_91.pg',0,0,'en',0,0),(43749,45,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_140.pg',0,0,'en',0,0),(43750,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_106.pg',0,0,'en',0,0),(43751,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_104.pg',0,0,'en',0,0),(43752,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_131.pg',0,0,'en',0,0),(43753,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_113.pg',0,0,'en',0,0),(43754,48,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_116.pg',0,0,'en',0,0),(43755,46,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_141.pg',0,0,'en',0,0),(43756,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_137.pg',0,0,'en',0,0),(43757,51,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_136.pg',0,0,'en',0,0),(43758,1521,197,_binary 'Community College of Denver, Colorado Community College System','Contrib',3278,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_3_93.pg',0,0,'en',0,0),(43759,64,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_432.pg',0,0,'en',0,0),(43760,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_413.pg',0,0,'en',0,0),(43761,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_430.pg',0,0,'en',0,0),(43762,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_426.pg',0,0,'en',0,0),(43763,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_427.pg',0,0,'en',0,0),(43764,64,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_395.pg',0,0,'en',0,0),(43765,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_394.pg',0,0,'en',0,0),(43766,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_399.pg',0,0,'en',0,0),(43767,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_412.pg',0,0,'en',0,0),(43768,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_398.pg',0,0,'en',0,0),(43769,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_391.pg',0,0,'en',0,0),(43770,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3279,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_7_424.pg',0,0,'en',0,0),(43771,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_371.pg',0,0,'en',0,0),(43772,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_364.pg',0,0,'en',0,0),(43773,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_383.pg',0,0,'en',0,0),(43774,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_395.pg',0,0,'en',0,0),(43775,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_367.pg',0,0,'en',0,0),(43776,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_359.pg',0,0,'en',0,0),(43777,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_386.pg',0,0,'en',0,0),(43778,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_396.pg',0,0,'en',0,0),(43779,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_363.pg',0,0,'en',0,0),(43780,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_357.pg',0,0,'en',0,0),(43781,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_382.pg',0,0,'en',0,0),(43782,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_391.pg',0,0,'en',0,0),(43783,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_362.pg',0,0,'en',0,0),(43784,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_376.pg',0,0,'en',0,0),(43785,58,219,_binary 'Community College of Denver, Colorado Community College System','Contrib',3280,'CCD_CCCS_Openstax_Calc1_C1-2016-002_4_8_392.pg',0,0,'en',0,0),(43786,394,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-12.pg',0,2,'en',0,0),(43787,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-4.pg',0,1,'en',0,0),(43788,390,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-1.pg',0,1,'en',0,0),(43789,390,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-3.pg',0,1,'en',0,0),(43790,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-6.pg',0,1,'en',0,0),(43791,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-8.pg',0,1,'en',0,0),(43792,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-9.pg',0,2,'en',0,0),(43793,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-5.pg',0,1,'en',0,0),(43794,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-7.pg',0,1,'en',0,0),(43795,394,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-11.pg',0,2,'en',0,0),(43796,1517,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-10.pg',0,2,'en',0,0),(43797,390,256,_binary 'Valparaiso University','Contrib',3281,'valpo-pde-intro-2.pg',0,1,'en',0,0),(43798,451,74,_binary 'Winona State University','Contrib',870,'Gram-Schmidt_3.pg',0,0,'en',0,0),(43799,451,74,_binary 'Winona State University','Contrib',870,'Gram-Schmidt_1.pg',0,0,'en',0,0),(43800,451,74,_binary 'Winona State University','Contrib',870,'Gram-Schmidt_2.pg',0,0,'en',0,0),(43801,450,74,_binary 'Winona State University','Contrib',871,'Norms_1.pg',0,0,'en',0,0),(43802,448,74,_binary 'Winona State University','Contrib',872,'Hermitian_inner_product_1.pg',0,0,'en',0,0),(43803,448,74,_binary 'Winona State University','Contrib',872,'Hermitian_inner_product_2.pg',0,0,'en',0,0),(43804,70,77,_binary 'Berkeley','Contrib',886,'7-8-x01.pg',0,0,'en',0,0),(43805,10,77,_binary 'Berkeley','Contrib',887,'2-5-11.pg',0,0,'en',0,0),(43806,208,77,_binary 'Berkeley','Contrib',888,'1-1-x01.pg',0,0,'en',0,0),(43807,466,77,_binary 'Berkeley','Contrib',888,'1-1-x01.pg',0,0,'en',0,0),(43808,57,16,_binary 'University of Minnesota','Contrib',3282,'3.9.rescue1.pg',0,0,'en',0,0),(43809,215,44,_binary 'UVA','Contrib',889,'local-1-3-01.pg',1519,2,'en',0,0),(43810,473,44,_binary 'UVA','Contrib',889,'local-1-3-01.pg',1519,2,'en',0,0),(43811,286,77,_binary 'Berkeley','Contrib',890,'1-6-x01.pg',0,0,'en',0,0),(43812,544,77,_binary 'Berkeley','Contrib',890,'1-6-x01.pg',0,0,'en',0,0),(43813,85,44,_binary 'UVA','Contrib',891,'6.1.rescue1.pg',0,0,'en',0,0),(43814,362,77,_binary 'Berkeley','Contrib',892,'17-2-28.pg',0,0,'en',0,0),(43815,387,77,_binary 'Berkeley','Contrib',893,'17-4-x01.pg',0,0,'en',0,0),(43816,387,77,_binary 'Berkeley','Contrib',893,'17-4-05.pg',0,0,'en',0,0),(43817,388,77,_binary 'Berkeley','Contrib',893,'17-4-x04.pg',0,0,'en',0,0),(43818,387,77,_binary 'Berkeley','Contrib',893,'17-4-x02.pg',0,0,'en',0,0),(43819,387,77,_binary 'Berkeley','Contrib',893,'17-4-x03.pg',0,0,'en',0,0),(43820,83,65,_binary 'University of Michigan','Contrib',894,'local-Q23.pg',0,2,'en',0,0),(43821,108,77,_binary 'Berkeley','Contrib',895,'11-3-x02.pg',0,0,'en',0,0),(43822,108,77,_binary 'Berkeley','Contrib',895,'11-3-x01.pg',0,0,'en',0,0),(43823,52,45,_binary 'Univeristy of Utah','Contrib',896,'local-1210s7p15.pg',1522,5,'en',0,0),(43824,71,0,_binary 'ASU','Contrib',897,'local-sc5_5_25_mo.pg',83,2,'en',0,0),(43825,20,77,_binary 'Berkeley','Contrib',898,'2-4-x05.pg',0,0,'en',0,0),(43826,20,77,_binary 'Berkeley','Contrib',898,'2-4-x01.pg',0,0,'en',0,0),(43827,20,78,_binary 'Berkeley','Contrib',898,'2-4-x04.pg',0,0,'en',0,0),(43828,20,77,_binary 'Berkeley','Contrib',898,'2-4-x03.pg',0,0,'en',0,0),(43829,20,78,_binary 'Berkeley','Contrib',898,'2-4-x02.pg',0,0,'en',0,0),(43830,20,78,_binary 'Berkeley','Contrib',898,'2-4-03.pg',0,0,'en',0,0),(43831,349,77,_binary 'Berkeley','Contrib',899,'9-6-12.pg',0,0,'en',0,0),(43832,349,77,_binary 'Berkeley','Contrib',899,'9-6-10.pg',0,0,'en',0,0),(43833,349,77,_binary 'Berkeley','Contrib',899,'9-6-11.pg',0,0,'en',0,0),(43834,69,77,_binary 'Berkeley','Contrib',900,'5-3-61.pg',0,0,'en',0,0),(43835,80,77,_binary 'Berkeley','Contrib',900,'5-3-x01.pg',0,2,'en',0,0),(43836,418,83,_binary 'NAU','Contrib',957,'JordanForm2_jfonly_v2.pg',0,3,'en',0,1),(43837,1486,86,_binary 'Mississippi College and U. of Rochester','Contrib',1016,'ABCabc_mark.pg',0,0,'en',0,0),(43838,1486,86,_binary 'Mississippi College and U. of Rochester','Contrib',1016,'ABCabc_mike.pg',0,0,'en',0,0),(43839,1486,87,_binary 'Mississippi College','Contrib',1016,'ABCabc.pg',1739,3,'en',0,1),(43840,1447,87,_binary 'Mississippi College','Contrib',1221,'Parity.pg',0,6,'en',0,0),(43841,1447,87,_binary 'Mississippi College','Contrib',1221,'EvenOdd1.pg',0,6,'en',0,0),(43842,1321,87,_binary 'Mississippi College','Contrib',1222,'Containment04.pg',0,6,'en',0,0),(43843,1321,87,_binary 'Mississippi College','Contrib',1222,'Containment01.pg',0,3,'en',0,0),(43844,1321,87,_binary 'Mississippi College','Contrib',1222,'Containment02.pg',0,4,'en',0,0),(43845,1447,87,_binary 'Mississippi College','Contrib',1223,'InductionDivisibility01.pg',0,0,'en',0,0),(43846,20,87,_binary 'Mississippi College','Contrib',1224,'EpsilonDeltaLimit.pg',0,6,'en',0,0),(43847,1447,87,_binary 'Mississippi College','Contrib',1224,'parity.pg',0,6,'en',0,0),(43848,1390,87,_binary 'Mississippi College','Contrib',1224,'IncreasingNumbers.pg',0,6,'en',0,0),(43849,20,87,_binary 'Mississippi College','Contrib',1224,'EpsilonDeltaLimitLinear.pg',0,6,'en',0,0),(43850,1447,87,_binary 'Mississippi College','Contrib',1224,'divisibility1.pg',0,6,'en',0,0),(43851,1447,87,_binary 'Mississippi College','Contrib',1225,'Parity.pg',0,6,'en',0,0),(43852,1542,87,_binary 'Mississippi College','Contrib',1225,'UniqueReciprocal.pg',0,6,'en',0,0),(43853,1447,87,_binary 'Mississippi College','Contrib',1225,'NsquaredOddImpliesNodd.pg',0,6,'en',0,0),(43854,48,102,_binary 'Westmont College','Contrib',1263,'preview_3_1_ab.pg',0,0,'en',0,0),(43855,48,102,_binary 'Westmont College','Contrib',1264,'preview_3_1_gh.pg',0,0,'en',0,0),(43856,48,102,_binary 'Westmont College','Contrib',1265,'preview_3_1_cd.pg',0,0,'en',0,0),(43857,48,102,_binary 'Westmont College','Contrib',1266,'preview_3_1_ef.pg',0,0,'en',0,0),(43858,24,102,_binary 'Westmont College','Contrib',1268,'preview_2_3_abc.pg',0,0,'en',0,0),(43859,26,102,_binary 'Westmont College','Contrib',1268,'preview_2_3_de.pg',0,0,'en',0,0),(43860,31,102,_binary 'Westmont College','Contrib',3283,'preview_2_6_abcd.pg',0,0,'en',0,0),(43861,31,102,_binary 'Westmont College','Contrib',3283,'preview_2_6_e.pg',0,0,'en',0,0),(43862,42,102,_binary 'Westmont College','Contrib',1270,'preview_2_7_d.pg',0,0,'en',0,0),(43863,42,102,_binary 'Westmont College','Contrib',1270,'preview_2_7_e.pg',0,0,'en',0,0),(43864,42,102,_binary 'Westmont College','Contrib',1270,'preview_2_7_b.pg',0,0,'en',0,0),(43865,42,102,_binary 'Westmont College','Contrib',1270,'preview_2_7_a.pg',0,0,'en',0,0),(43866,42,102,_binary 'Westmont College','Contrib',1270,'preview_2_7_c.pg',0,0,'en',0,0),(43867,21,102,_binary 'Westmont College','Contrib',1271,'preview_1_4_ac.pg',0,0,'en',0,0),(43868,21,102,_binary 'Westmont College','Contrib',1271,'preview_1_4_ab.pg',0,0,'en',0,0),(43869,66,102,_binary 'Westmont College','Contrib',1272,'preview_4_3_abc.pg',0,0,'en',0,0),(43870,66,102,_binary 'Westmont College','Contrib',1272,'preview_4_3_de.pg',0,0,'en',0,0),(43871,23,102,_binary 'Westmont College','Contrib',1273,'preview_2_1_abcde.pg',0,0,'en',0,0),(43872,48,102,_binary 'Westmont College','Contrib',1274,'preview_3_2_abcde.pg',0,0,'en',0,0),(43873,105,102,_binary 'Westmont College','Contrib',1277,'preview_8_2_all.pg',0,4,'en',0,1),(43874,21,102,_binary 'Westmont College','Contrib',1278,'preview_1_5_d.pg',0,0,'en',0,0),(43875,21,102,_binary 'Westmont College','Contrib',1279,'preview_1_5_b.pg',0,0,'en',0,0),(43876,21,102,_binary 'Westmont College','Contrib',1280,'preview_1_5_a.pg',0,0,'en',0,0),(43877,21,102,_binary 'Westmont College','Contrib',1281,'preview_1_5_c.pg',0,0,'en',0,0),(43878,105,102,_binary 'Westmont College','Contrib',1282,'preview_8_1_all.pg',0,4,'en',0,1),(43879,29,102,_binary 'Westmont College','Contrib',1284,'preview_2_2_c.pg',0,0,'en',0,0),(43880,29,102,_binary 'Westmont College','Contrib',1284,'preview_2_2_de.pg',0,0,'en',0,0),(43881,29,102,_binary 'Westmont College','Contrib',1284,'preview_2_2_ab.pg',0,0,'en',0,0),(43882,36,102,_binary 'Westmont College','Contrib',1285,'preview_2_5_f.pg',0,0,'en',0,0),(43883,36,102,_binary 'Westmont College','Contrib',1285,'preview_2_5_c.pg',0,0,'en',0,0),(43884,25,102,_binary 'Westmont College','Contrib',1285,'preview_2_5_b.pg',0,0,'en',0,0),(43885,36,102,_binary 'Westmont College','Contrib',1285,'preview_2_5_d.pg',0,0,'en',0,0),(43886,28,102,_binary 'Westmont College','Contrib',1285,'preview_2_5_e.pg',0,0,'en',0,0),(43887,36,102,_binary 'Westmont College','Contrib',1285,'preview_2_5_a.pg',0,0,'en',0,0),(43888,105,103,_binary 'Adelphi University','Contrib',3284,'preview_8_6_all.pg',0,4,'en',0,1),(43889,27,102,_binary 'Westmont College','Contrib',1288,'preview_2_4_abcde.pg',0,0,'en',0,0),(43890,105,103,_binary 'Adelphi University','Contrib',3285,'preview_8_5_all.pg',0,4,'en',0,1),(43891,22,102,_binary 'Westmont College','Contrib',1290,'preview_7_6_all.pg',0,4,'en',0,1),(43892,1,102,_binary 'Westmont 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'Piedmont','Contrib',3303,'1.pg',0,2,'en',0,0),(44120,288,104,_binary 'Piedmont','Contrib',3303,'7.pg',0,2,'en',0,0),(44121,546,104,_binary 'Piedmont','Contrib',3303,'7.pg',0,2,'en',0,0),(44122,286,104,_binary 'Piedmont','Contrib',3303,'6.pg',0,2,'en',0,0),(44123,544,104,_binary 'Piedmont','Contrib',3303,'6.pg',0,2,'en',0,0),(44124,293,104,_binary 'Piedmont','Contrib',3303,'9.pg',0,2,'en',0,0),(44125,551,104,_binary 'Piedmont','Contrib',3303,'9.pg',0,2,'en',0,0),(44126,285,104,_binary 'Piedmont','Contrib',3303,'3.pg',0,2,'en',0,0),(44127,543,104,_binary 'Piedmont','Contrib',3303,'3.pg',0,2,'en',0,0),(44128,292,104,_binary 'Piedmont','Contrib',3303,'10.pg',0,2,'en',0,0),(44129,550,104,_binary 'Piedmont','Contrib',3303,'10.pg',0,2,'en',0,0),(44130,287,104,_binary 'Piedmont','Contrib',3303,'4.pg',0,2,'en',0,0),(44131,545,104,_binary 'Piedmont','Contrib',3303,'4.pg',0,2,'en',0,0),(44132,288,104,_binary 'Piedmont','Contrib',3303,'8.pg',0,2,'en',0,0),(44133,546,104,_binary 'Piedmont','Contrib',3303,'8.pg',0,2,'en',0,0),(44134,685,0,_binary 'Rochester','Contrib',3304,'ur_stt_7_4.pg',1907,2,'en',0,0),(44135,303,104,_binary 'Piedmont','Contrib',1350,'11.6.14.pg',0,2,'en',0,0),(44136,561,104,_binary 'Piedmont','Contrib',1350,'11.6.14.pg',0,2,'en',0,0),(44137,303,104,_binary 'Piedmont','Contrib',1350,'11.6.11.pg',0,2,'en',0,0),(44138,561,104,_binary 'Piedmont','Contrib',1350,'11.6.11.pg',0,2,'en',0,0),(44139,303,104,_binary 'Piedmont','Contrib',1350,'11.6.9.pg',0,2,'en',0,0),(44140,561,104,_binary 'Piedmont','Contrib',1350,'11.6.9.pg',0,2,'en',0,0),(44141,303,104,_binary 'Piedmont','Contrib',1350,'11.6.10.pg',0,2,'en',0,0),(44142,561,104,_binary 'Piedmont','Contrib',1350,'11.6.10.pg',0,2,'en',0,0),(44143,303,104,_binary 'Piedmont','Contrib',1350,'11.6.12.pg',0,2,'en',0,0),(44144,561,104,_binary 'Piedmont','Contrib',1350,'11.6.12.pg',0,2,'en',0,0),(44145,303,104,_binary 'Piedmont','Contrib',1350,'11.6.13.pg',0,2,'en',0,0),(44146,561,104,_binary 'Piedmont','Contrib',1350,'11.6.13.pg',0,2,'en',0,0),(44147,1486,257,_binary 'Champlain College Saint-Lambert','Contrib',3305,'TrigDegreesPGML.pg',0,0,'en',0,1),(44148,1486,257,_binary 'Champlain College Saint-Lambert','Contrib',3305,'TrigDegrees.pg',0,0,'en',0,1),(44149,453,49,_binary 'Rochester and Hope College','Contrib',3306,'prob1.pg',0,2,'en',0,1),(44150,453,49,_binary 'Rochester and Hope College','Contrib',3306,'prob2.pg',0,3,'en',0,1),(44151,456,49,_binary 'Rochester and Hope College','Contrib',3307,'prob1.pg',0,4,'en',0,1),(44152,456,49,_binary 'Rochester and Hope College','Contrib',3307,'prob2.pg',0,4,'en',0,1),(44153,440,65,_binary 'University of Michigan','Contrib',3308,'prob4.3.32.pg',0,0,'en',0,0),(44154,440,65,_binary 'University of Michigan','Contrib',3308,'prob4.3.5.pg',0,0,'en',0,0),(44155,440,65,_binary 'University of Michigan','Contrib',3308,'prob8.1.12.pg',0,0,'en',0,0),(44156,440,65,_binary 'University of Michigan','Contrib',3308,'prob4.3.22.pg',0,0,'en',0,0),(44157,416,49,_binary 'Rochester and Hope College','Contrib',3309,'prob1.pg',0,3,'en',0,1),(44158,456,49,_binary 'Rochester and Hope College','Contrib',3310,'prob3.pg',0,4,'en',0,1),(44159,456,49,_binary 'Rochester and Hope College','Contrib',3310,'prob2.pg',0,4,'en',0,1),(44160,438,0,_binary 'ASU','Contrib',3311,'kolossa1.pg',0,0,'en',0,0),(44161,425,0,_binary 'Rochester','Contrib',3312,'ur_la_10_28.pg',0,0,'en',0,0),(44162,425,0,_binary 'Rochester','Contrib',3312,'ur_la_10_13a.pg',0,0,'en',0,0),(44163,462,0,_binary 'Rochester','Contrib',3313,'ur_la_6_25.pg',0,0,'en',0,0),(44164,439,0,_binary 'Rochester','Contrib',3314,'ur_la_8_5.pg',0,0,'en',0,0),(44165,454,0,_binary 'Rochester','Contrib',3315,'ur_la_15_1.pg',0,0,'en',0,0),(44166,456,0,_binary 'Rochester','Contrib',3315,'ur_la_15_15.pg',0,0,'en',0,0),(44167,454,49,_binary 'Rochester and Hope College','Contrib',3315,'ur_la_15_17.pg',0,2,'en',0,1),(44168,423,0,_binary 'TCNJ','Contrib',3316,'problem5.pg',0,0,'en',0,0),(44169,425,0,_binary 'TCNJ','Contrib',3316,'problem6.pg',0,0,'en',0,0),(44170,425,0,_binary 'TCNJ','Contrib',3316,'problem9.pg',0,0,'en',0,0),(44171,425,0,_binary 'TCNJ','Contrib',3316,'problem2.pg',0,0,'en',0,0),(44172,425,0,_binary 'TCNJ','Contrib',3316,'problem8.pg',0,0,'en',0,0),(44173,423,0,_binary 'TCNJ','Contrib',3316,'problem3.pg',0,0,'en',0,0),(44174,423,0,_binary 'TCNJ','Contrib',3316,'problem4.pg',0,0,'en',0,0),(44175,425,0,_binary 'TCNJ','Contrib',3316,'problem7.pg',0,0,'en',0,0),(44176,425,0,_binary 'TCNJ','Contrib',3316,'problem1.pg',0,0,'en',0,0),(44177,414,0,_binary 'TCNJ','Contrib',3317,'problem1.pg',0,0,'en',0,0),(44178,416,0,_binary 'TCNJ','Contrib',3318,'problem2.pg',0,0,'en',0,0),(44179,452,0,_binary 'TCNJ','Contrib',3318,'problem1.pg',0,0,'en',0,0),(44180,449,0,_binary 'TCNJ','Contrib',3319,'problem2.pg',0,0,'en',0,0),(44181,449,49,_binary 'TCNJ and Hope College','Contrib',3319,'problem3.pg',0,0,'en',0,0),(44182,449,0,_binary 'TCNJ','Contrib',3319,'problem1.pg',0,0,'en',0,0),(44183,403,0,_binary 'TCNJ','Contrib',3320,'problem13.pg',0,0,'en',0,0),(44184,407,0,_binary 'TCNJ','Contrib',3320,'problem2.pg',0,0,'en',0,0),(44185,442,0,_binary 'TCNJ','Contrib',3321,'problem12.pg',0,0,'en',0,0),(44186,444,0,_binary 'TCNJ','Contrib',3322,'problem3.pg',0,0,'en',0,0),(44187,405,49,_binary 'TCNJ and Hope College','Contrib',3323,'problem5.pg',0,2,'en',0,1),(44188,410,49,_binary 'TCNJ and Hope College','Contrib',3323,'problem6.pg',2047,0,'en',0,1),(44189,410,49,_binary 'TCNJ and Hope College','Contrib',3323,'problem8.pg',2047,3,'en',0,1),(44190,405,49,_binary 'TCNJ and Hope College','Contrib',3323,'problem4.pg',0,3,'en',0,1),(44191,410,49,_binary 'TCNJ and Hope College','Contrib',3323,'problem7.pg',2047,3,'en',0,1),(44192,450,0,_binary 'TCNJ','Contrib',3324,'problem4.pg',0,0,'en',0,0),(44193,450,49,_binary 'TCNJ and Hope 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College','Contrib',3327,'prob2.pg',0,3,'en',0,1),(44200,329,0,NULL,'Contrib',3328,'prob01.pg',0,2,'en',0,0),(44201,582,0,NULL,'Contrib',3328,'prob01.pg',0,2,'en',0,0),(44202,329,0,NULL,'Contrib',3328,'prob03.pg',0,2,'en',0,0),(44203,582,0,NULL,'Contrib',3328,'prob03.pg',0,2,'en',0,0),(44204,329,0,NULL,'Contrib',3328,'prob04.pg',0,2,'en',0,0),(44205,582,0,NULL,'Contrib',3328,'prob04.pg',0,2,'en',0,0),(44206,329,0,NULL,'Contrib',3328,'prob02.pg',0,2,'en',0,0),(44207,582,0,NULL,'Contrib',3328,'prob02.pg',0,2,'en',0,0),(44208,760,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-003-001.pg',0,0,'en',0,0),(44209,767,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-006-003.pg',0,0,'en',0,0),(44210,762,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-003-004.pg',0,0,'en',0,0),(44211,762,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-004-004.pg',0,0,'en',0,0),(44212,760,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-009-004.pg',0,0,'en',0,0),(44213,767,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-006-002.pg',0,0,'en',0,0),(44214,946,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-008-003.pg',0,0,'en',0,0),(44215,753,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-002-001.pg',0,0,'en',0,0),(44216,760,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-005-001.pg',0,0,'en',0,0),(44217,760,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-003-002.pg',0,0,'en',0,0),(44218,946,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-008-005.pg',0,0,'en',0,0),(44219,766,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-004-002.pg',0,0,'en',0,0),(44220,763,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-002-004.pg',0,0,'en',0,0),(44221,795,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-005-003.pg',0,0,'en',0,0),(44222,752,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-001-001.pg',0,0,'en',0,0),(44223,763,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-001-004.pg',0,0,'en',0,0),(44224,762,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-004-005.pg',0,0,'en',0,0),(44225,975,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-008-006.pg',0,0,'en',0,0),(44226,773,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-008-002.pg',0,0,'en',0,0),(44227,759,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-004-001.pg',0,0,'en',0,0),(44228,763,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-001-003.pg',0,0,'en',0,0),(44229,753,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-001-005.pg',0,0,'en',0,0),(44230,759,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-003-005.pg',0,0,'en',0,0),(44231,752,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-002-002.pg',0,0,'en',0,0),(44232,762,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-003-003.pg',0,0,'en',0,0),(44233,771,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-007-001.pg',0,0,'en',0,0),(44234,767,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-006-001.pg',0,0,'en',0,0),(44235,773,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-008-001.pg',0,0,'en',0,0),(44236,771,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-007-002.pg',0,0,'en',0,0),(44237,771,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-007-003.pg',0,0,'en',0,0),(44238,753,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-002-003.pg',0,0,'en',0,0),(44239,795,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-005-002.pg',0,0,'en',0,0),(44240,946,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-008-004.pg',0,0,'en',0,0),(44241,754,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-001-002.pg',0,0,'en',0,0),(44242,763,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-002-005.pg',0,0,'en',0,0),(44243,795,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-005-004.pg',0,0,'en',0,0),(44244,770,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-007-004.pg',0,0,'en',0,0),(44245,760,258,_binary 'Whatcom Community College','Contrib',3329,'Whatcom-HW-004-003.pg',0,0,'en',0,0),(44246,633,0,_binary 'Fitchburg State','Contrib',3330,'pz_2_RMN.pg',909,2,'en',0,0),(44247,633,0,_binary 'Fitchburg State','Contrib',3330,'normal-01.pg',909,2,'en',0,0),(44248,633,259,_binary 'Fitchburg State University','Contrib',3330,'6_2_RMN.pg',0,0,'en',0,0),(44249,633,259,_binary 'Fitchburg State University','Contrib',3330,'6_4_RMN.pg',0,0,'en',0,0),(44250,666,259,_binary 'Fitchburg State University','Contrib',3331,'8_3_1_RMN.pg',0,0,'en',0,0),(44251,666,259,_binary 'Fitchburg State University','Contrib',3331,'8_3_2_RMN.pg',0,0,'en',0,0),(44252,185,260,_binary 'Fitchburg State University','Contrib',3332,'interval_notation.pg',0,1,'en',0,0),(44253,228,260,_binary 'Fitchburg State University','Contrib',3333,'line-perp-2.pg',0,1,'en',0,1),(44254,486,260,_binary 'Fitchburg State University','Contrib',3333,'line-perp-2.pg',0,1,'en',0,1),(44255,233,0,NULL,'Contrib',3333,'explicit-in-x.pg',0,1,'en',0,0),(44256,491,0,NULL,'Contrib',3333,'explicit-in-x.pg',0,1,'en',0,0),(44257,233,260,_binary 'Fitchburg State University','Contrib',3333,'function-evaluation-1.pg',0,1,'en',0,0),(44258,491,260,_binary 'Fitchburg State University','Contrib',3333,'function-evaluation-1.pg',0,1,'en',0,0),(44259,236,260,_binary 'Fitchburg State College','Contrib',3333,'line-graph-1.pg',0,1,'en',0,0),(44260,494,260,_binary 'Fitchburg State College','Contrib',3333,'line-graph-1.pg',0,1,'en',0,0),(44261,237,260,_binary 'Fitchburg State College','Contrib',3333,'linear-model-internet.pg',0,1,'en',0,0),(44262,495,260,_binary 'Fitchburg State College','Contrib',3333,'linear-model-internet.pg',0,1,'en',0,0),(44263,268,260,_binary 'Fitchburg State University','Contrib',3333,'is-it-a solution.pg',0,1,'en',0,0),(44264,526,260,_binary 'Fitchburg State University','Contrib',3333,'is-it-a solution.pg',0,1,'en',0,0),(44265,236,260,_binary 'Fitchburg State University','Contrib',3333,'line-graph-2.pg',0,1,'en',0,0),(44266,494,260,_binary 'Fitchburg State University','Contrib',3333,'line-graph-2.pg',0,1,'en',0,0),(44267,236,260,_binary 'Fitchburg State University','Contrib',3333,'intercepts-1.pg',0,1,'en',0,0),(44268,494,260,_binary 'Fitchburg State University','Contrib',3333,'intercepts-1.pg',0,1,'en',0,0),(44269,236,260,_binary 'Fitchburg State University','Contrib',3333,'choice-of-lines.pg',0,1,'en',0,0),(44270,494,260,_binary 'Fitchburg State University','Contrib',3333,'choice-of-lines.pg',0,1,'en',0,0),(44271,229,260,_binary 'Fitchburg State College','Contrib',3333,'line-1.pg',0,1,'en',0,0),(44272,487,260,_binary 'Fitchburg State College','Contrib',3333,'line-1.pg',0,1,'en',0,0),(44273,234,260,_binary 'Fitchburg State University','Contrib',3333,'checkbox.pg',0,1,'en',0,0),(44274,492,260,_binary 'Fitchburg State University','Contrib',3333,'checkbox.pg',0,1,'en',0,0),(44275,237,260,_binary 'Fitchburg State University','Contrib',3333,'linear-model-mass.pg',0,1,'en',0,0),(44276,495,260,_binary 'Fitchburg State University','Contrib',3333,'linear-model-mass.pg',0,1,'en',0,0),(44277,227,0,_binary 'Fitchburg State University','Contrib',3333,'find-slope.pg',0,1,'en',0,0),(44278,485,0,_binary 'Fitchburg State University','Contrib',3333,'find-slope.pg',0,1,'en',0,0),(44279,227,260,_binary 'Fitchburg State University','Contrib',3333,'line-2.pg',0,1,'en',0,0),(44280,485,260,_binary 'Fitchburg State University','Contrib',3333,'line-2.pg',0,1,'en',0,0),(44281,236,260,_binary 'Fitchburg State College','Contrib',3333,'intercepts-2.pg',0,1,'en',0,0),(44282,494,260,_binary 'Fitchburg State College','Contrib',3333,'intercepts-2.pg',0,1,'en',0,0),(44283,228,260,_binary 'Fitchburg State University','Contrib',3333,'line-parallel.pg',0,1,'en',0,0),(44284,486,260,_binary 'Fitchburg State University','Contrib',3333,'line-parallel.pg',0,1,'en',0,0),(44285,233,260,_binary 'Fitchburg State College','Contrib',3333,'is-function-linear.pg',0,1,'en',0,0),(44286,491,260,_binary 'Fitchburg State College','Contrib',3333,'is-function-linear.pg',0,1,'en',0,0),(44287,228,260,_binary 'Fitchburg State University','Contrib',3333,'line-perp-1.pg',0,1,'en',0,1),(44288,486,260,_binary 'Fitchburg State University','Contrib',3333,'line-perp-1.pg',0,1,'en',0,1),(44289,237,260,_binary 'Fitchburg State 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'METU-NCC','Contrib',3387,'Vector_ops-Fun.pg',0,2,'en',0,1),(44846,1315,263,_binary 'METU-NCC','Contrib',3387,'Set_select.pg',0,2,'en',0,1),(44847,1315,263,_binary 'METU-NCC','Contrib',3387,'Set-Intersect_plane_3.pg',0,2,'en',0,1),(44848,419,263,_binary 'METU-NCC','Contrib',3387,'Vector_ops-R.pg',0,2,'en',0,1),(44849,1315,263,_binary 'METU-NCC','Contrib',3387,'Set_ops.pg',0,2,'en',0,1),(44850,455,263,_binary 'METU-NCC','Contrib',3388,'transf_funct.pg',0,3,'en',0,1),(44851,458,263,_binary 'METU-NCC','Contrib',3388,'ker_im_3x4.pg',0,3,'en',0,1),(44852,423,263,_binary 'METU-NCC','Contrib',3388,'vector_eqn.pg',0,3,'en',0,1),(44853,458,263,_binary 'METU-NCC','Contrib',3388,'transf_image.pg',0,4,'en',0,1),(44854,458,263,_binary 'METU-NCC','Contrib',3388,'transf_kernel_basis.pg',0,3,'en',0,1),(44855,458,263,_binary 'METU-NCC','Contrib',3388,'transf_kernel_select.pg',0,3,'en',0,1),(44856,421,263,_binary 'METU-NCC','Contrib',3388,'vector_span.pg',0,3,'en',0,1),(44857,458,263,_binary 'METU-NCC','Contrib',3388,'transf_ker_im-P-nerf.pg',0,4,'en',0,1),(44858,458,263,_binary 'METU-NCC','Contrib',3388,'transf_image_eqn.pg',0,3,'en',0,1),(44859,458,263,_binary 'METU-NCC','Contrib',3388,'transf_ker_im-F-nerf.pg',0,4,'en',0,1),(44860,455,263,_binary 'METU-NCC','Contrib',3388,'transf_compute.pg',0,3,'en',0,1),(44861,421,263,_binary 'METU-NCC','Contrib',3388,'vector_span_nerf.pg',0,2,'en',0,1),(44862,458,263,_binary 'METU-NCC','Contrib',3388,'transf_ker_im-F.pg',0,4,'en',0,1),(44863,424,263,_binary 'METU-NCC','Contrib',3388,'basis_enlarge.pg',0,3,'en',0,1),(44864,454,263,_binary 'METU-NCC','Contrib',3388,'transf_select.pg',0,3,'en',0,1),(44865,458,263,_binary 'METU-NCC','Contrib',3388,'transf_ker_eqn.pg',0,4,'en',0,1),(44866,458,263,_binary 'METU-NCC','Contrib',3388,'transf_dims.pg',0,3,'en',0,1),(44867,418,263,_binary 'METU-NCC','Contrib',3389,'Jordan_solve_2+1_2.pg',0,4,'en',0,1),(44868,418,263,_binary 'METU-NCC','Contrib',3389,'Jordan_solve_3_2.pg',0,4,'en',0,1),(44869,418,263,_binary 'METU-NCC','Contrib',3389,'Jordan_solve_2_1+1_1.pg',0,4,'en',0,1),(44870,418,263,_binary 'METU-NCC','Contrib',3389,'Jordan_solve_2+2_1.pg',0,4,'en',0,1),(44871,418,263,_binary 'METU-NCC','Contrib',3389,'Jordan_solve_2_2_1.pg',0,4,'en',0,1),(44872,435,263,_binary 'METU-NCC','Contrib',3390,'Relation-F3.pg',0,2,'en',0,1),(44873,435,263,_binary 'METU-NCC','Contrib',3390,'Relation-P2.pg',0,2,'en',0,1),(44874,435,263,_binary 'METU-NCC','Contrib',3390,'Relation-R3.pg',0,2,'en',0,1),(44875,436,263,_binary 'METU-NCC','Contrib',3390,'Span_find-R3.pg',0,2,'en',0,1),(44876,438,263,_binary 'METU-NCC','Contrib',3390,'VSub_select_P.pg',0,2,'en',0,1),(44877,436,263,_binary 'METU-NCC','Contrib',3390,'Span_pick-P2.pg',0,2,'en',0,1),(44878,436,263,_binary 'METU-NCC','Contrib',3390,'Span_pick-R3.pg',0,2,'en',0,1),(44879,436,263,_binary 'METU-NCC','Contrib',3390,'Span_pick-R3-nerf.pg',0,1,'en',0,1),(44880,438,263,_binary 'METU-NCC','Contrib',3390,'VSub_select_R.pg',0,2,'en',0,1),(44881,436,263,_binary 'METU-NCC','Contrib',3390,'Span_find-P3.pg',0,2,'en',0,1),(44882,436,263,_binary 'METU-NCC','Contrib',3390,'Span_find-R4.pg',0,2,'en',0,1),(44883,436,263,_binary 'METU-NCC','Contrib',3390,'Span_pick-F3.pg',0,2,'en',0,1),(44884,435,263,_binary 'METU-NCC','Contrib',3390,'Relation-R4.pg',0,2,'en',0,1),(44885,438,263,_binary 'METU-NCC','Contrib',3390,'VSub_select_F.pg',0,2,'en',0,1),(44886,436,263,_binary 'METU-NCC','Contrib',3390,'UplusW.pg',0,2,'en',0,1),(44887,436,263,_binary 'METU-NCC','Contrib',3390,'UintW.pg',0,2,'en',0,1),(44888,418,263,_binary 'METU-NCC','Contrib',3391,'Cyclic_P2.pg',0,3,'en',0,1),(44889,418,263,_binary 'METU-NCC','Contrib',3391,'Cyclic_R3.pg',0,2,'en',0,1),(44890,414,263,_binary 'METU-NCC','Contrib',3391,'Skew_proj4.pg',0,4,'en',0,1),(44891,418,263,_binary 'METU-NCC','Contrib',3391,'Cyclic_P3.pg',0,2,'en',0,1),(44892,418,263,_binary 'METU-NCC','Contrib',3391,'Cyclic_R4.pg',0,2,'en',0,1),(44893,418,263,_binary 'METU-NCC','Contrib',3391,'Cyclic3_choose.pg',0,2,'en',0,1),(44894,454,263,_binary 'METU-NCC','Contrib',3391,'proj_select.pg',0,2,'en',0,1),(44895,414,263,_binary 'METU-NCC','Contrib',3391,'Orthog_proj.pg',0,3,'en',0,1),(44896,414,263,_binary 'METU-NCC','Contrib',3391,'Skew_proj3.pg',0,4,'en',0,1),(44897,454,263,_binary 'METU-NCC','Contrib',3391,'Noncyclic_R2.pg',0,2,'en',0,1),(44898,148,122,_binary 'METU-NCC','Contrib',3392,'2_Plane_eqn.pg',0,1,'en',0,1),(44899,141,122,_binary 'METU-NCC','Contrib',3392,'4_Distance.pg',0,1,'en',0,1),(44900,149,122,_binary 'METU-NCC','Contrib',3392,'5_surfaces.pg',0,1,'en',0,1),(44901,155,264,_binary 'METU-NCC','Contrib',3393,'4_Chain.pg',0,2,'en',0,0),(44902,157,264,_binary 'METU-NCC','Contrib',3393,'3_Gradient.pg',0,2,'en',0,0),(44903,153,264,_binary 'METU-NCC','Contrib',3393,'1_Limits.pg',0,2,'en',0,0),(44904,158,264,_binary 'METU-NCC','Contrib',3393,'5_MaxMin.pg',0,2,'en',0,0),(44905,101,264,_binary 'METU-NCC','Contrib',3394,'Q1_v1.pg',0,2,'en',0,0),(44906,118,264,_binary 'METU-NCC','Contrib',3394,'Q5_v1.pg',0,2,'en',0,0),(44907,113,264,_binary 'METU-NCC','Contrib',3394,'Q2_v1.pg',0,3,'en',0,0),(44908,118,264,_binary 'METU-NCC','Contrib',3394,'Q4_v2.pg',0,2,'en',0,0),(44909,114,264,_binary 'METU-NCC','Contrib',3394,'Q3_v1.pg',0,2,'en',0,0),(44910,113,264,_binary 'METU-NCC','Contrib',3394,'Q6_v1.pg',0,3,'en',0,0),(44911,113,264,_binary 'METU-NCC','Contrib',3394,'Q6_v3.pg',0,3,'en',0,0),(44912,160,264,_binary 'METU-NCC','Contrib',3395,'Q1_v1.pg',0,1,'en',0,0),(44913,163,0,NULL,'Contrib',3395,'Q5_v1.pg',0,2,'en',0,0),(44914,165,0,NULL,'Contrib',3395,'Q6_v1.pg',0,2,'en',0,0),(44915,822,265,_binary 'University of British Columbia','Contrib',3396,'21-P-WE-AG-017.pg',0,0,'en',0,0),(44916,822,265,_binary 'University of British Columbia','Contrib',3396,'21-P-WE-AG-027.pg',0,0,'en',0,0),(44917,822,265,_binary 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Columbia','Contrib',3407,'21-P-WE-AG-023.pg',0,0,'en',0,0),(45017,821,266,_binary 'University of British Columbia','Contrib',3407,'20-P-WE-BK-004.pg',0,0,'en',0,0),(45018,821,0,_binary 'University of British Columbia','Contrib',3407,'21-P-WE-GD-003.pg',0,1,'en',0,0),(45019,821,265,_binary 'University of British Columbia','Contrib',3407,'21-P-WE-AG-019.pg',0,0,'en',0,0),(45020,821,266,_binary 'University of British Columbia','Contrib',3407,'20-P-WE-BK-002.pg',0,0,'en',0,0),(45021,821,266,_binary 'University of British Columbia','Contrib',3407,'20-P-WE-BK-006.pg',0,0,'en',0,0),(45022,821,0,_binary 'University of British Columbia','Contrib',3407,'21-P-WE-GD-001.pg',0,1,'en',0,0),(45023,821,266,_binary 'University of British Columbia','Contrib',3407,'20-P-WE-BK-005.pg',0,0,'en',0,0),(45024,821,265,_binary 'University of British Columbia','Contrib',3407,'21-P-WE-AG-018.pg',0,0,'en',0,0),(45025,821,0,_binary 'University of British Columbia','Contrib',3407,'21-P-WE-GD-002.pg',0,1,'en',0,0),(45026,821,265,_binary 'University of British Columbia','Contrib',3407,'21-P-WE-AG-022.pg',0,0,'en',0,0),(45027,809,265,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-AG-008.pg',0,0,'en',0,0),(45028,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-007.pg',0,1,'en',0,0),(45029,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-014.pg',0,1,'en',0,0),(45030,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-012.pg',0,1,'en',0,0),(45031,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-009.pg',0,1,'en',0,0),(45032,817,0,_binary 'University of British Columbia','Contrib',3408,'20-P-FA-BK-013.pg',0,0,'en',0,0),(45033,817,0,_binary 'University of British Columbia','Contrib',3408,'20-P-FA-BK-011.pg',0,0,'en',0,0),(45034,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-010.pg',0,1,'en',0,0),(45035,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-015.pg',0,1,'en',0,0),(45036,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-016.pg',0,1,'en',0,0),(45037,817,0,_binary 'University of British Columbia','Contrib',3408,'20-P-FA-AF-005.pg',0,0,'en',0,0),(45038,817,0,_binary 'University of British Columbia','Contrib',3408,'20-P-FA-AF-012.pg',0,0,'en',0,0),(45039,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-011.pg',0,1,'en',0,0),(45040,817,0,_binary 'University of British Columbia','Contrib',3408,'20-P-FA-BK-012.pg',0,0,'en',0,0),(45041,812,0,_binary 'University of British Columbia','Contrib',3408,'21-P-FA-GD-013.pg',0,1,'en',0,0),(45042,827,265,_binary 'University of British Columbia','Contrib',3409,'21-P-WE-AG-030.pg',0,0,'en',0,0),(45043,827,0,_binary 'University of British 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Columbia','Contrib',3411,'21-P-KM-GD-009.pg',0,1,'en',0,0),(45071,808,266,_binary 'University of British Columbia','Contrib',3411,'20-P-KM-BK-018.pg',0,0,'en',0,0),(45072,808,266,_binary 'University of British Columbia','Contrib',3411,'20-P-KM-BK-019.pg',0,0,'en',0,0),(45073,808,266,_binary 'University of British Columbia','Contrib',3411,'20-P-KM-BK-017.pg',0,0,'en',0,0),(45074,808,267,_binary 'University of British Columbia','Contrib',3411,'20-P-KM-NW-010.pg',0,0,'en',0,0),(45075,808,266,_binary 'University of British Columbia','Contrib',3411,'20-P-KM-BK-015.pg',0,0,'en',0,0),(45076,809,266,_binary 'University of British Columbia','Contrib',3412,'20-P-KM-BK-021.pg',0,0,'en',0,0),(45077,809,266,_binary 'University of British Columbia','Contrib',3412,'20-P-KM-BK-023.pg',0,0,'en',0,0),(45078,809,266,_binary 'University of British Columbia','Contrib',3412,'20-P-KM-BK-020.pg',0,0,'en',0,0),(45079,809,267,_binary 'University of British 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Columbia','Contrib',3429,'21-S-2-3-AG-050.pg',0,0,'en',0,0),(45171,137,265,_binary 'University of British Columbia','Contrib',3429,'21-S-2-3-AG-050.pg',0,0,'en',0,0),(45172,427,265,_binary 'University of British Columbia','Contrib',3429,'21-S-2-3-AG-050.pg',0,0,'en',0,0),(45173,604,0,_binary 'University of British Columbia','Contrib',3430,'21-S-2-7-GD-001.pg',0,1,'en',0,0),(45174,137,0,_binary 'University of British Columbia','Contrib',3430,'21-S-2-7-GD-001.pg',0,1,'en',0,0),(45175,427,0,_binary 'University of British Columbia','Contrib',3430,'21-S-2-7-GD-001.pg',0,1,'en',0,0),(45176,604,0,_binary 'University of British Columbia','Contrib',3430,'21-S-2-7-GD-002.pg',0,1,'en',0,0),(45177,137,0,_binary 'University of British Columbia','Contrib',3430,'21-S-2-7-GD-002.pg',0,1,'en',0,0),(45178,427,0,_binary 'University of British Columbia','Contrib',3430,'21-S-2-7-GD-002.pg',0,1,'en',0,0),(45179,604,265,_binary 'University of British 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Columbia','Contrib',3433,'21-S-2-8-AG-055.pg',0,0,'en',0,0),(45189,427,265,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-AG-055.pg',0,0,'en',0,0),(45190,604,265,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-AG-054.pg',0,0,'en',0,0),(45191,137,265,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-AG-054.pg',0,0,'en',0,0),(45192,427,265,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-AG-054.pg',0,0,'en',0,0),(45193,604,0,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-GD-001.pg',0,1,'en',0,0),(45194,137,0,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-GD-001.pg',0,1,'en',0,0),(45195,427,0,_binary 'University of British Columbia','Contrib',3433,'21-S-2-8-GD-001.pg',0,1,'en',0,0),(45196,757,0,_binary 'University of British Columbia','Contrib',3434,'21-S-5-5-GD-002.pg',0,1,'en',0,0),(45197,763,265,_binary 'University of British Columbia','Contrib',3434,'21-S-5-5-AG-077.pg',0,0,'en',0,0),(45198,757,0,_binary 'University of British Columbia','Contrib',3434,'21-S-5-5-GD-001.pg',0,1,'en',0,0),(45199,605,0,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-GD-001.pg',0,1,'en',0,0),(45200,138,0,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-GD-001.pg',0,1,'en',0,0),(45201,428,0,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-GD-001.pg',0,1,'en',0,0),(45202,605,265,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-AG-056.pg',0,0,'en',0,0),(45203,138,265,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-AG-056.pg',0,0,'en',0,0),(45204,428,265,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-AG-056.pg',0,0,'en',0,0),(45205,605,0,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-GD-002.pg',0,1,'en',0,0),(45206,138,0,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-GD-002.pg',0,1,'en',0,0),(45207,428,0,_binary 'University of British Columbia','Contrib',3435,'21-S-2-9-GD-002.pg',0,1,'en',0,0),(45208,755,42,_binary 'University of British Columbia','Contrib',3436,'FreeBodyDiagrams4.pg',0,0,'en',0,0),(45209,756,0,_binary 'University of British Columbia','Contrib',3436,'21-S-3-4-GD-001.pg',0,1,'en',0,0),(45210,755,42,_binary 'University of British Columbia','Contrib',3436,'FreeBodyDiagrams6.pg',0,0,'en',0,0),(45211,756,265,_binary 'University of British Columbia','Contrib',3436,'21-S-3-4-AG-059.pg',0,0,'en',0,0),(45212,755,42,_binary 'University of British Columbia','Contrib',3436,'FreeBodyDiagrams5.pg',0,0,'en',0,0),(45213,761,42,_binary 'University of British Columbia','Contrib',3436,'FreeBodyDiagrams7.pg',0,0,'en',0,0),(45214,756,265,_binary 'University of British Columbia','Contrib',3436,'21-S-3-4-AG-058.pg',0,0,'en',0,0),(45215,764,42,_binary 'University of British Columbia','Contrib',3437,'Constraints10.pg',0,0,'en',0,0),(45216,764,0,_binary 'University of British Columbia','Contrib',3437,'21-S-5-7-GD-001.pg',0,1,'en',0,0),(45217,764,42,_binary 'University of British Columbia','Contrib',3437,'Constraints11.pg',0,4,'en',0,0),(45218,764,265,_binary 'University of British Columbia','Contrib',3437,'21-S-5-7-AG-078.pg',0,0,'en',0,0),(45219,764,42,_binary 'University of British Columbia','Contrib',3437,'Constraints9.pg',0,4,'en',0,0),(45220,764,42,_binary 'University of British Columbia','Contrib',3437,'Constraints5.pg',0,0,'en',0,0),(45221,764,42,_binary 'University of British Columbia','Contrib',3437,'Constraints4.pg',0,0,'en',0,0),(45222,796,268,_binary 'University of British Columbia','Contrib',3438,'21-S-8-3-RP-01.pg',0,0,'en',0,0),(45223,796,269,_binary 'University of British Columbia','Contrib',3438,'21-S-8-3-MK-01.pg',0,0,'en',0,0),(45224,796,269,_binary 'University of British Columbia','Contrib',3438,'21-S-8-3-MK-02.pg',0,0,'en',0,0),(45225,758,0,_binary 'University of British Columbia','Contrib',3439,'21-S-4-5-GD-001.pg',0,1,'en',0,0),(45226,758,265,_binary 'University of British Columbia','Contrib',3439,'21-S-4-5-AG-067.pg',0,0,'en',0,0),(45227,758,265,_binary 'University of British Columbia','Contrib',3439,'21-S-4-5-AG-066.pg',0,0,'en',0,0),(45228,245,143,_binary 'PCC','Contrib',3440,'pr6.pg',2931,3,'en',0,1),(45229,503,143,_binary 'PCC','Contrib',3440,'pr6.pg',2931,3,'en',0,1),(45230,243,270,_binary 'University of Utah','Contrib',3440,'pr1.pg',0,0,'en',0,0),(45231,501,270,_binary 'University of Utah','Contrib',3440,'pr1.pg',0,0,'en',0,0),(45232,243,270,_binary 'University of Utah','Contrib',3440,'pr11.pg',0,0,'en',0,0),(45233,501,270,_binary 'University of Utah','Contrib',3440,'pr11.pg',0,0,'en',0,0),(45234,243,270,_binary 'Utah','Contrib',3440,'pr12.pg',0,0,'en',0,0),(45235,501,270,_binary 'Utah','Contrib',3440,'pr12.pg',0,0,'en',0,0),(45236,254,0,NULL,'Contrib',3441,'pr8.pg',235,2,'en',0,0),(45237,512,0,NULL,'Contrib',3441,'pr8.pg',235,2,'en',0,0),(45238,290,61,_binary 'Loyola University Chicago and Fort Lewis College','Contrib',3442,'pr6.pg',0,3,'en',0,1),(45239,548,61,_binary 'Loyola University Chicago and Fort Lewis College','Contrib',3442,'pr6.pg',0,3,'en',0,1),(45240,285,270,_binary 'University of Utah','Contrib',3442,'pr3.pg',0,0,'en',0,0),(45241,543,270,_binary 'University of Utah','Contrib',3442,'pr3.pg',0,0,'en',0,0),(45242,290,17,_binary 'University of Missouri-Columbia','Contrib',3442,'pr5.pg',0,3,'en',0,0),(45243,548,17,_binary 'University of Missouri-Columbia','Contrib',3442,'pr5.pg',0,3,'en',0,0),(45244,239,45,_binary 'Univeristy of Utah','Contrib',3443,'pr6.pg',0,2,'en',1,0),(45245,497,45,_binary 'Univeristy of Utah','Contrib',3443,'pr6.pg',0,2,'en',1,0),(45246,239,270,_binary 'University of Utah','Contrib',3443,'pr1.pg',0,0,'en',0,0),(45247,497,270,_binary 'University of Utah','Contrib',3443,'pr1.pg',0,0,'en',0,0),(45248,239,270,_binary 'University of Utah','Contrib',3443,'pr2.pg',0,0,'en',0,0),(45249,497,270,_binary 'University of Utah','Contrib',3443,'pr2.pg',0,0,'en',0,0),(45250,239,270,_binary 'University of Utah','Contrib',3443,'pr3.pg',0,0,'en',0,0),(45251,497,270,_binary 'University of Utah','Contrib',3443,'pr3.pg',0,0,'en',0,0),(45252,239,45,_binary 'Univeristy of Utah','Contrib',3443,'pr5.pg',0,2,'en',1,0),(45253,497,45,_binary 'Univeristy of Utah','Contrib',3443,'pr5.pg',0,2,'en',1,0),(45254,266,137,_binary 'Loyola University Chicago','Contrib',3444,'pr2.pg',1314,2,'en',0,1),(45255,524,137,_binary 'Loyola University Chicago','Contrib',3444,'pr2.pg',1314,2,'en',0,1),(45256,273,49,_binary 'Fort Lewis College','Contrib',3444,'pr3.pg',0,3,'en',0,0),(45257,531,49,_binary 'Fort Lewis College','Contrib',3444,'pr3.pg',0,3,'en',0,0),(45258,273,49,_binary 'Fort Lewis College','Contrib',3444,'pr4.pg',0,3,'en',0,0),(45259,531,49,_binary 'Fort Lewis College','Contrib',3444,'pr4.pg',0,3,'en',0,0),(45260,205,16,_binary 'University of Minnesota','Contrib',3445,'pr7.pg',226,2,'en',0,1),(45261,463,16,_binary 'University of Minnesota','Contrib',3445,'pr7.pg',226,2,'en',0,1),(45262,205,0,NULL,'Contrib',3445,'pr6.pg',0,2,'en',0,0),(45263,463,0,NULL,'Contrib',3445,'pr6.pg',0,2,'en',0,0),(45264,205,143,_binary 'PCC','Contrib',3445,'pr8.pg',0,1,'en',0,1),(45265,463,143,_binary 'PCC','Contrib',3445,'pr8.pg',0,1,'en',0,1),(45266,205,143,_binary 'PCC','Contrib',3445,'pr5.pg',0,1,'en',0,1),(45267,463,143,_binary 'PCC','Contrib',3445,'pr5.pg',0,1,'en',0,1),(45268,205,0,NULL,'Contrib',3445,'pr4.pg',0,2,'en',0,1),(45269,463,0,NULL,'Contrib',3445,'pr4.pg',0,2,'en',0,1),(45270,212,271,_binary 'University of Utah/Harvard','Contrib',3446,'pr7.pg',0,2,'en',0,0),(45271,470,271,_binary 'University of Utah/Harvard','Contrib',3446,'pr7.pg',0,2,'en',0,0),(45272,212,49,_binary 'Fort Lewis College','Contrib',3446,'pr6.pg',0,3,'en',0,1),(45273,470,49,_binary 'Fort Lewis College','Contrib',3446,'pr6.pg',0,3,'en',0,1),(45274,207,271,_binary 'University of Utah/Harvard','Contrib',3446,'pr2.pg',0,2,'en',0,0),(45275,465,271,_binary 'University of Utah/Harvard','Contrib',3446,'pr2.pg',0,2,'en',0,0),(45276,205,0,_binary 'ASU','Contrib',3446,'pr3.pg',1008,2,'en',0,0),(45277,463,0,_binary 'ASU','Contrib',3446,'pr3.pg',1008,2,'en',0,0),(45278,205,0,_binary 'ASU','Contrib',3446,'pr4.pg',1008,2,'en',0,0),(45279,463,0,_binary 'ASU','Contrib',3446,'pr4.pg',1008,2,'en',0,0),(45280,1395,0,_binary 'University of Utah','Contrib',3447,'pr8.pg',0,2,'en',0,0),(45281,1395,0,_binary 'University of Utah','Contrib',3447,'pr12.pg',0,2,'en',0,0),(45282,268,272,_binary 'University of Utah','Contrib',3448,'pr7.pg',0,0,'en',0,0),(45283,526,272,_binary 'University of Utah','Contrib',3448,'pr7.pg',0,0,'en',0,0),(45284,404,45,_binary 'Univeristy of Utah','Contrib',3448,'pr8.pg',0,2,'en',1,0),(45285,237,0,NULL,'Contrib',3448,'pr11.pg',1261,5,'en',0,0),(45286,495,0,NULL,'Contrib',3448,'pr11.pg',1261,5,'en',0,0),(45287,268,273,_binary 'Utah','Contrib',3448,'pr2.pg',0,2,'en',0,0),(45288,526,273,_binary 'Utah','Contrib',3448,'pr2.pg',0,2,'en',0,0),(45289,268,0,NULL,'Contrib',3448,'pr4.pg',1754,3,'en',0,0),(45290,526,0,NULL,'Contrib',3448,'pr4.pg',1754,3,'en',0,0),(45291,210,7,_binary 'Rochester','Contrib',3449,'pr1.pg',533,2,'en',0,1),(45292,468,7,_binary 'Rochester','Contrib',3449,'pr1.pg',533,2,'en',0,1),(45293,210,0,_binary 'OSU','Contrib',3449,'pr4.pg',0,2,'en',0,0),(45294,468,0,_binary 'OSU','Contrib',3449,'pr4.pg',0,2,'en',0,0),(45295,212,0,_binary 'ASU','Contrib',3450,'pr6.pg',0,5,'en',0,0),(45296,470,0,_binary 'ASU','Contrib',3450,'pr6.pg',0,5,'en',0,0),(45297,246,102,_binary 'Westmont College','Contrib',3450,'pr3.pg',0,2,'en',0,1),(45298,504,102,_binary 'Westmont College','Contrib',3450,'pr3.pg',0,2,'en',0,1),(45299,246,270,_binary 'University of Utah','Contrib',3450,'pr5.pg',0,0,'en',0,0),(45300,504,270,_binary 'University of Utah','Contrib',3450,'pr5.pg',0,0,'en',0,0),(45301,246,270,_binary 'University of Utah','Contrib',3450,'pr4.pg',0,0,'en',0,0),(45302,504,270,_binary 'University of Utah','Contrib',3450,'pr4.pg',0,0,'en',0,0),(45303,208,0,NULL,'Contrib',3451,'pr9.pg',1011,2,'en',0,0),(45304,466,0,NULL,'Contrib',3451,'pr9.pg',1011,2,'en',0,0),(45305,290,17,_binary 'University of Missouri-Columbia','Contrib',3451,'pr1.pg',2373,3,'en',0,0),(45306,548,17,_binary 'University of Missouri-Columbia','Contrib',3451,'pr1.pg',2373,3,'en',0,0),(45307,199,0,NULL,'Contrib',3451,'pr8.pg',822,2,'en',0,0),(45308,290,0,_binary 'ASU','Contrib',3451,'pr2.pg',951,2,'en',0,0),(45309,548,0,_binary 'ASU','Contrib',3451,'pr2.pg',951,2,'en',0,0),(45310,285,17,_binary 'University of Missouri-Columbia','Contrib',3451,'pr4.pg',2374,3,'en',0,0),(45311,543,17,_binary 'University of Missouri-Columbia','Contrib',3451,'pr4.pg',2374,3,'en',0,0),(45312,185,273,_binary 'University of Utah','Contrib',3452,'pr7.pg',0,2,'en',0,0),(45313,185,111,_binary 'The College of Idaho','Contrib',3452,'pr6.pg',0,0,'en',0,0),(45314,208,143,_binary 'PCC','Contrib',3452,'pr10.pg',1293,2,'en',0,1),(45315,466,143,_binary 'PCC','Contrib',3452,'pr10.pg',1293,2,'en',0,1),(45316,185,45,_binary 'University of Utah','Contrib',3452,'pr1.pg',0,0,'en',0,0),(45317,185,0,_binary 'Rochester','Contrib',3452,'pr8.pg',1670,2,'en',0,0),(45318,185,45,_binary 'Univeristy of Utah','Contrib',3452,'pr2.pg',2667,3,'en',0,0),(45319,185,111,_binary 'The College of Idaho','Contrib',3452,'pr3.pg',0,0,'en',0,0),(45320,185,0,_binary 'Rochester','Contrib',3452,'pr5.pg',1666,2,'en',0,1),(45321,185,111,_binary 'The College of Idaho','Contrib',3452,'pr4.pg',0,0,'en',0,0),(45322,202,0,_binary 'Utah','Contrib',3453,'pr7.pg',0,0,'en',0,0),(45323,202,270,_binary 'University of Utah','Contrib',3453,'pr6.pg',0,0,'en',0,0),(45324,203,0,_binary 'Utah','Contrib',3453,'pr9.pg',0,0,'en',0,0),(45325,202,270,_binary 'University of Utah','Contrib',3453,'pr5.pg',0,0,'en',0,0),(45326,202,270,_binary 'University of Utah','Contrib',3453,'pr4.pg',0,0,'en',0,0),(45327,283,45,_binary 'Univeristy of Utah','Contrib',3454,'pr7.pg',783,2,'en',1,0),(45328,541,45,_binary 'Univeristy of Utah','Contrib',3454,'pr7.pg',783,2,'en',1,0),(45329,284,0,NULL,'Contrib',3454,'pr10.pg',1818,2,'en',0,0),(45330,542,0,NULL,'Contrib',3454,'pr10.pg',1818,2,'en',0,0),(45331,284,17,_binary 'University of Missouri-Columbia','Contrib',3454,'pr12.pg',0,2,'en',0,0),(45332,542,17,_binary 'University of Missouri-Columbia','Contrib',3454,'pr12.pg',0,2,'en',0,0),(45333,283,45,_binary 'Univeristy of Utah','Contrib',3454,'pr13.pg',2699,3,'en',1,0),(45334,541,45,_binary 'Univeristy of Utah','Contrib',3454,'pr13.pg',2699,3,'en',1,0),(45335,227,0,_binary 'University of Missouri','Contrib',3455,'pr10.pg',0,2,'en',0,0),(45336,485,0,_binary 'University of Missouri','Contrib',3455,'pr10.pg',0,2,'en',0,0),(45337,237,0,_binary 'University of Michigan','Contrib',3455,'pr9.pg',0,5,'en',0,1),(45338,495,0,_binary 'University of Michigan','Contrib',3455,'pr9.pg',0,5,'en',0,1),(45339,236,49,_binary 'Fort Lewis College','Contrib',3455,'pr1.pg',0,0,'en',0,0),(45340,494,49,_binary 'Fort Lewis College','Contrib',3455,'pr1.pg',0,0,'en',0,0),(45341,237,0,NULL,'Contrib',3455,'pr8.pg',0,5,'en',0,0),(45342,495,0,NULL,'Contrib',3455,'pr8.pg',0,5,'en',0,0),(45343,227,111,_binary 'The College of Idaho','Contrib',3455,'pr2.pg',1879,2,'en',0,1),(45344,485,111,_binary 'The College of Idaho','Contrib',3455,'pr2.pg',1879,2,'en',0,1),(45345,236,0,NULL,'Contrib',3455,'pr5.pg',0,2,'en',0,0),(45346,494,0,NULL,'Contrib',3455,'pr5.pg',0,2,'en',0,0),(45347,246,270,_binary 'University of Utah','Contrib',3456,'pr7.pg',0,0,'en',0,0),(45348,504,270,_binary 'University of Utah','Contrib',3456,'pr7.pg',0,0,'en',0,0),(45349,186,87,_binary 'Mississippi College','Contrib',3457,'pr7.pg',0,3,'en',0,1),(45350,1394,143,_binary 'PCC','Contrib',3457,'pr6.pg',0,2,'en',0,1),(45351,186,87,_binary 'Mississippi College','Contrib',3457,'pr9.pg',0,2,'en',0,1),(45352,183,87,_binary 'Mississippi College','Contrib',3457,'pr1.pg',0,4,'en',0,1),(45353,194,0,NULL,'Contrib',3457,'pr5.pg',0,1,'en',0,1),(45354,1394,143,_binary 'PCC','Contrib',3457,'pr4.pg',0,2,'en',0,1),(45355,237,17,_binary 'University of Missouri-Columbia','Contrib',3458,'pr7.pg',0,5,'en',0,0),(45356,495,17,_binary 'University of Missouri-Columbia','Contrib',3458,'pr7.pg',0,5,'en',0,0),(45357,237,143,_binary 'PCC','Contrib',3458,'pr6.pg',2921,4,'en',0,1),(45358,495,143,_binary 'PCC','Contrib',3458,'pr6.pg',2921,4,'en',0,1),(45359,237,0,_binary 'Unknown','Contrib',3458,'pr1.pg',0,2,'en',0,0),(45360,495,0,_binary 'Unknown','Contrib',3458,'pr1.pg',0,2,'en',0,0),(45361,212,49,_binary 'Fort Lewis College','Contrib',3458,'pr8.pg',1292,2,'en',0,1),(45362,470,49,_binary 'Fort Lewis College','Contrib',3458,'pr8.pg',1292,2,'en',0,1),(45363,183,0,_binary 'Unknown','Contrib',3458,'pr2.pg',0,2,'en',0,0),(45364,237,143,_binary 'PCC','Contrib',3458,'pr3.pg',0,4,'en',0,1),(45365,495,143,_binary 'PCC','Contrib',3458,'pr3.pg',0,4,'en',0,1),(45366,237,111,_binary 'The College of Idaho','Contrib',3458,'pr4.pg',0,0,'en',0,0),(45367,495,111,_binary 'The College of Idaho','Contrib',3458,'pr4.pg',0,0,'en',0,0),(45368,242,45,_binary 'Univeristy of Utah','Contrib',3459,'pr1.pg',0,2,'en',1,0),(45369,500,45,_binary 'Univeristy of Utah','Contrib',3459,'pr1.pg',0,2,'en',1,0),(45370,242,45,_binary 'Univeristy of Utah','Contrib',3459,'pr2.pg',0,2,'en',1,0),(45371,500,45,_binary 'Univeristy of Utah','Contrib',3459,'pr2.pg',0,2,'en',1,0),(45372,242,0,NULL,'Contrib',3459,'pr3.pg',0,2,'en',0,0),(45373,500,0,NULL,'Contrib',3459,'pr3.pg',0,2,'en',0,0),(45374,290,61,_binary 'Loyola University Chicago and Fort Lewis College','Contrib',3460,'pr2.pg',0,3,'en',0,0),(45375,548,61,_binary 'Loyola University Chicago and Fort Lewis College','Contrib',3460,'pr2.pg',0,3,'en',0,0),(45376,290,45,_binary 'Univeristy of Utah','Contrib',3460,'pr3.pg',2167,2,'en',1,0),(45377,548,45,_binary 'Univeristy of Utah','Contrib',3460,'pr3.pg',2167,2,'en',1,0),(45378,290,0,_binary 'ASU','Contrib',3460,'pr4.pg',0,3,'en',0,1),(45379,548,0,_binary 'ASU','Contrib',3460,'pr4.pg',0,3,'en',0,1),(45380,284,73,_binary 'Sparta High School','Contrib',3461,'pr6.pg',1301,3,'en',0,1),(45381,542,73,_binary 'Sparta High School','Contrib',3461,'pr6.pg',1301,3,'en',0,1),(45382,1429,143,_binary 'PCC','Contrib',3461,'pr1.pg',2887,2,'en',0,1),(45383,1429,143,_binary 'PCC','Contrib',3461,'pr2.pg',2887,2,'en',0,1),(45384,1429,143,_binary 'PCC','Contrib',3461,'pr3.pg',2887,2,'en',0,1),(45385,237,45,_binary 'Univeristy of Utah','Contrib',3462,'pr5.pg',696,2,'en',0,0),(45386,495,45,_binary 'Univeristy of Utah','Contrib',3462,'pr5.pg',696,2,'en',0,0),(45387,237,0,NULL,'Contrib',3463,'pr7.pg',0,4,'en',0,1),(45388,495,0,NULL,'Contrib',3463,'pr7.pg',0,4,'en',0,1),(45389,237,0,NULL,'Contrib',3463,'pr6.pg',0,3,'en',0,0),(45390,495,0,NULL,'Contrib',3463,'pr6.pg',0,3,'en',0,0),(45391,212,106,_binary 'University of Michigan','Contrib',3463,'pr1.pg',0,5,'en',0,0),(45392,470,106,_binary 'University of Michigan','Contrib',3463,'pr1.pg',0,5,'en',0,0),(45393,237,0,NULL,'Contrib',3463,'pr8.pg',0,2,'en',0,1),(45394,495,0,NULL,'Contrib',3463,'pr8.pg',0,2,'en',0,1),(45395,227,0,NULL,'Contrib',3463,'pr2.pg',0,3,'en',0,0),(45396,485,0,NULL,'Contrib',3463,'pr2.pg',0,3,'en',0,0),(45397,237,0,NULL,'Contrib',3463,'pr3.pg',0,3,'en',0,1),(45398,495,0,NULL,'Contrib',3463,'pr3.pg',0,3,'en',0,1),(45399,237,0,NULL,'Contrib',3463,'pr5.pg',0,3,'en',0,0),(45400,495,0,NULL,'Contrib',3463,'pr5.pg',0,3,'en',0,0),(45401,237,0,NULL,'Contrib',3463,'pr4.pg',0,2,'en',0,0),(45402,495,0,NULL,'Contrib',3463,'pr4.pg',0,2,'en',0,0),(45403,228,45,_binary 'University of Utah','Contrib',3464,'pr1.pg',0,3,'en',1,0),(45404,486,45,_binary 'University of Utah','Contrib',3464,'pr1.pg',0,3,'en',1,0),(45405,229,111,_binary 'The College of Idaho','Contrib',3465,'pr7.pg',1880,2,'en',0,1),(45406,487,111,_binary 'The College of Idaho','Contrib',3465,'pr7.pg',1880,2,'en',0,1),(45407,233,156,_binary 'NAU','Contrib',3465,'pr8.pg',2839,2,'en',0,1),(45408,491,156,_binary 'NAU','Contrib',3465,'pr8.pg',2839,2,'en',0,1),(45409,199,0,NULL,'Contrib',3465,'pr2.pg',0,2,'en',0,1),(45410,238,274,_binary 'University of Utah','Contrib',3466,'pr7.pg',0,0,'en',0,0),(45411,496,274,_binary 'University of Utah','Contrib',3466,'pr7.pg',0,0,'en',0,0),(45412,238,274,_binary 'University of Utah','Contrib',3466,'pr9.pg',0,0,'en',0,0),(45413,496,274,_binary 'University of Utah','Contrib',3466,'pr9.pg',0,0,'en',0,0),(45414,212,0,_binary 'ASU','Contrib',3466,'pr15.pg',0,5,'en',0,0),(45415,470,0,_binary 'ASU','Contrib',3466,'pr15.pg',0,5,'en',0,0),(45416,238,274,_binary 'University of Utah','Contrib',3466,'pr8.pg',0,0,'en',0,0),(45417,496,274,_binary 'University of Utah','Contrib',3466,'pr8.pg',0,0,'en',0,0),(45418,236,45,_binary 'Univeristy of Utah','Contrib',3466,'pr14.pg',0,3,'en',1,0),(45419,494,45,_binary 'Univeristy of Utah','Contrib',3466,'pr14.pg',0,3,'en',1,0),(45420,1539,0,NULL,'Contrib',3466,'pr3.pg',0,0,'en',0,0),(45421,1539,0,NULL,'Contrib',3466,'pr4.pg',0,0,'en',0,0),(45422,210,111,_binary 'The College of Idaho','Contrib',3466,'pr13.pg',1631,2,'en',0,1),(45423,468,111,_binary 'The College of Idaho','Contrib',3466,'pr13.pg',1631,2,'en',0,1),(45424,287,0,NULL,'Contrib',3467,'pr7.pg',0,0,'en',0,0),(45425,545,0,NULL,'Contrib',3467,'pr7.pg',0,0,'en',0,0),(45426,286,45,_binary 'Univeristy of Utah','Contrib',3467,'pr4.pg',1947,3,'en',1,0),(45427,544,45,_binary 'Univeristy of Utah','Contrib',3467,'pr4.pg',1947,3,'en',1,0),(45428,288,45,_binary 'Univeristy of Utah','Contrib',3468,'pr15.pg',2658,2,'en',1,0),(45429,546,45,_binary 'Univeristy of Utah','Contrib',3468,'pr15.pg',2658,2,'en',1,0),(45430,195,45,_binary 'Univeristy of Utah','Contrib',3468,'pr11.pg',0,2,'en',1,0),(45431,288,45,_binary 'Univeristy of Utah','Contrib',3468,'pr14.pg',2658,2,'en',1,0),(45432,546,45,_binary 'Univeristy of Utah','Contrib',3468,'pr14.pg',2658,2,'en',1,0),(45433,242,45,_binary 'Univeristy of Utah','Contrib',3469,'pr4.pg',0,2,'en',1,0),(45434,500,45,_binary 'Univeristy of Utah','Contrib',3469,'pr4.pg',0,2,'en',1,0),(45435,194,45,_binary 'Univeristy of Utah','Contrib',3470,'pr7.pg',616,2,'en',1,0),(45436,275,270,_binary 'University of Utah','Contrib',3470,'pr10.pg',0,2,'en',0,0),(45437,533,270,_binary 'University of Utah','Contrib',3470,'pr10.pg',0,2,'en',0,0),(45438,275,270,_binary 'University of Utah','Contrib',3470,'pr9.pg',0,2,'en',0,0),(45439,533,270,_binary 'University of Utah','Contrib',3470,'pr9.pg',0,2,'en',0,0),(45440,194,0,NULL,'Contrib',3470,'pr8.pg',1178,2,'en',0,0),(45441,195,16,_binary 'University of Minnesota','Contrib',3470,'pr2.pg',0,2,'en',0,1),(45442,275,270,_binary 'University of Utah','Contrib',3470,'pr14.pg',0,2,'en',0,0),(45443,533,270,_binary 'University of Utah','Contrib',3470,'pr14.pg',0,2,'en',0,0),(45444,1394,143,_binary 'PCC','Contrib',3470,'pr5.pg',0,2,'en',0,1),(45445,1394,143,_binary 'PCC','Contrib',3470,'pr4.pg',0,2,'en',0,1),(45446,275,270,_binary 'University of Utah','Contrib',3470,'pr13.pg',0,2,'en',0,0),(45447,533,270,_binary 'University of Utah','Contrib',3470,'pr13.pg',0,2,'en',0,0),(45448,288,60,_binary 'Fort Lewis College','Contrib',3471,'pr9.pg',1258,2,'en',0,1),(45449,546,60,_binary 'Fort Lewis College','Contrib',3471,'pr9.pg',1258,2,'en',0,1),(45450,273,45,_binary 'Univeristy of Utah','Contrib',3471,'pr1.pg',0,2,'en',1,0),(45451,531,45,_binary 'Univeristy of Utah','Contrib',3471,'pr1.pg',0,2,'en',1,0),(45452,273,275,_binary 'University of Utah','Contrib',3471,'pr3.pg',0,2,'en',0,1),(45453,531,275,_binary 'University of Utah','Contrib',3471,'pr3.pg',0,2,'en',0,1),(45454,273,275,_binary 'Utah','Contrib',3471,'pr5.pg',0,0,'en',0,0),(45455,531,275,_binary 'Utah','Contrib',3471,'pr5.pg',0,0,'en',0,0),(45456,235,0,_binary 'University of Utah','Contrib',3472,'pr16.pg',0,2,'en',0,0),(45457,493,0,_binary 'University of Utah','Contrib',3472,'pr16.pg',0,2,'en',0,0),(45458,186,45,_binary 'University of Utah','Contrib',3472,'pr2.pg',0,0,'en',0,0),(45459,234,0,_binary 'University of Utah','Contrib',3472,'pr4.pg',0,2,'en',0,0),(45460,492,0,_binary 'University of Utah','Contrib',3472,'pr4.pg',0,2,'en',0,0),(45461,235,111,_binary 'The College of Idaho','Contrib',3472,'pr19.pg',0,0,'en',0,0),(45462,493,111,_binary 'The College of Idaho','Contrib',3472,'pr19.pg',0,0,'en',0,0),(45463,234,0,NULL,'Contrib',3472,'pr13.pg',0,0,'en',0,0),(45464,492,0,NULL,'Contrib',3472,'pr13.pg',0,0,'en',0,0),(45465,285,270,_binary 'University of Utah','Contrib',3473,'pr7.pg',0,0,'en',0,0),(45466,543,270,_binary 'University of Utah','Contrib',3473,'pr7.pg',0,0,'en',0,0),(45467,285,270,_binary 'University of Utah','Contrib',3473,'pr6.pg',0,0,'en',0,0),(45468,543,270,_binary 'University of Utah','Contrib',3473,'pr6.pg',0,0,'en',0,0),(45469,291,61,_binary 'Loyola University Chicago and Fort Lewis College','Contrib',3473,'pr1.pg',0,3,'en',0,1),(45470,549,61,_binary 'Loyola University Chicago and Fort Lewis College','Contrib',3473,'pr1.pg',0,3,'en',0,1),(45471,291,0,_binary 'NAU','Contrib',3473,'pr2.pg',844,2,'en',0,0),(45472,549,0,_binary 'NAU','Contrib',3473,'pr2.pg',844,2,'en',0,0),(45473,291,44,_binary 'UVA','Contrib',3473,'pr3.pg',0,5,'en',0,0),(45474,549,44,_binary 'UVA','Contrib',3473,'pr3.pg',0,5,'en',0,0),(45475,1350,0,NULL,'Contrib',3473,'pr5.pg',970,3,'en',0,0),(45476,206,0,_binary 'Rochester','Contrib',3474,'pr15.pg',1931,2,'en',0,0),(45477,464,0,_binary 'Rochester','Contrib',3474,'pr15.pg',1931,2,'en',0,0),(45478,205,0,_binary 'John Wiley & Sons','Contrib',3474,'pr1.pg',0,1,'en',0,1),(45479,463,0,_binary 'John Wiley & Sons','Contrib',3474,'pr1.pg',0,1,'en',0,1),(45480,206,45,_binary 'University of Utah','Contrib',3474,'pr11.pg',0,0,'en',0,0),(45481,464,45,_binary 'University of Utah','Contrib',3474,'pr11.pg',0,0,'en',0,0),(45482,206,49,_binary 'Fort Lewis College','Contrib',3474,'pr2.pg',1245,3,'en',0,1),(45483,464,49,_binary 'Fort Lewis College','Contrib',3474,'pr2.pg',1245,3,'en',0,1),(45484,206,0,NULL,'Contrib',3474,'pr14.pg',0,0,'en',0,0),(45485,464,0,NULL,'Contrib',3474,'pr14.pg',0,0,'en',0,0),(45486,212,137,_binary 'Loyola University Chicago','Contrib',3474,'pr3.pg',0,3,'en',0,1),(45487,470,137,_binary 'Loyola University Chicago','Contrib',3474,'pr3.pg',0,3,'en',0,1),(45488,208,17,_binary 'University of Missouri-Columbia','Contrib',3474,'pr17.pg',2372,3,'en',0,0),(45489,466,17,_binary 'University of Missouri-Columbia','Contrib',3474,'pr17.pg',2372,3,'en',0,0),(45490,212,137,_binary 'Loyola University Chicago','Contrib',3474,'pr4.pg',0,3,'en',0,1),(45491,470,137,_binary 'Loyola University Chicago','Contrib',3474,'pr4.pg',0,3,'en',0,1),(45492,245,0,NULL,'Contrib',3475,'pr1.pg',1673,2,'en',0,0),(45493,503,0,NULL,'Contrib',3475,'pr1.pg',1673,2,'en',0,0),(45494,245,143,_binary 'PCC','Contrib',3475,'pr2.pg',1098,3,'en',0,1),(45495,503,143,_binary 'PCC','Contrib',3475,'pr2.pg',1098,3,'en',0,1),(45496,243,49,_binary 'Fort Lewis College','Contrib',3475,'pr5.pg',0,3,'en',0,1),(45497,501,49,_binary 'Fort Lewis College','Contrib',3475,'pr5.pg',0,3,'en',0,1),(45498,233,49,_binary 'Fort Lewis College','Contrib',3476,'pr6.pg',1260,2,'en',0,1),(45499,491,49,_binary 'Fort Lewis College','Contrib',3476,'pr6.pg',1260,2,'en',0,1),(45500,229,137,_binary 'Loyola University Chicago','Contrib',3476,'pr2.pg',1288,2,'en',0,1),(45501,487,137,_binary 'Loyola University Chicago','Contrib',3476,'pr2.pg',1288,2,'en',0,1),(45502,229,137,_binary 'Loyola University Chicago','Contrib',3476,'pr3.pg',0,3,'en',0,1),(45503,487,137,_binary 'Loyola University Chicago','Contrib',3476,'pr3.pg',0,3,'en',0,1),(45504,237,49,_binary 'Fort Lewis College','Contrib',3476,'pr5.pg',0,2,'en',0,0),(45505,495,49,_binary 'Fort Lewis College','Contrib',3476,'pr5.pg',0,2,'en',0,0),(45506,232,45,_binary 'University of Utah','Contrib',3477,'pr7.pg',0,2,'en',0,0),(45507,490,45,_binary 'University of Utah','Contrib',3477,'pr7.pg',0,2,'en',0,0),(45508,233,45,_binary 'University of Utah','Contrib',3477,'pr6.pg',2715,2,'en',0,0),(45509,491,45,_binary 'University of Utah','Contrib',3477,'pr6.pg',2715,2,'en',0,0),(45510,232,0,NULL,'Contrib',3477,'pr10.pg',0,4,'en',0,1),(45511,490,0,NULL,'Contrib',3477,'pr10.pg',0,4,'en',0,1),(45512,228,270,_binary 'University of Utah','Contrib',3477,'pr9.pg',0,2,'en',0,0),(45513,486,270,_binary 'University of Utah','Contrib',3477,'pr9.pg',0,2,'en',0,0),(45514,229,270,_binary 'University of Utah','Contrib',3477,'pr1.pg',0,2,'en',0,0),(45515,487,270,_binary 'University of Utah','Contrib',3477,'pr1.pg',0,2,'en',0,0),(45516,228,45,_binary 'University of Utah','Contrib',3477,'pr8.pg',0,0,'en',0,0),(45517,486,45,_binary 'University of Utah','Contrib',3477,'pr8.pg',0,0,'en',0,0),(45518,206,16,_binary 'University of Minnesota','Contrib',3477,'pr11.pg',1006,2,'en',0,1),(45519,464,16,_binary 'University of Minnesota','Contrib',3477,'pr11.pg',1006,2,'en',0,1),(45520,229,270,_binary 'University of Utah','Contrib',3477,'pr2.pg',0,2,'en',0,0),(45521,487,270,_binary 'University of Utah','Contrib',3477,'pr2.pg',0,2,'en',0,0),(45522,232,45,_binary 'Univeristy of Utah','Contrib',3477,'pr3.pg',0,2,'en',0,0),(45523,490,45,_binary 'Univeristy of Utah','Contrib',3477,'pr3.pg',0,2,'en',0,0),(45524,212,273,_binary 'University of Utah','Contrib',3477,'pr12.pg',0,2,'en',0,0),(45525,470,273,_binary 'University of Utah','Contrib',3477,'pr12.pg',0,2,'en',0,0),(45526,212,273,_binary 'University of Utah','Contrib',3477,'pr13.pg',0,2,'en',0,0),(45527,470,273,_binary 'University of Utah','Contrib',3477,'pr13.pg',0,2,'en',0,0),(45528,242,16,_binary 'University of Minnesota','Contrib',3478,'pr1.pg',0,2,'en',0,1),(45529,500,16,_binary 'University of Minnesota','Contrib',3478,'pr1.pg',0,2,'en',0,1),(45530,242,0,_binary 'ASU','Contrib',3478,'pr2.pg',0,2,'en',0,0),(45531,500,0,_binary 'ASU','Contrib',3478,'pr2.pg',0,2,'en',0,0),(45532,606,276,_binary 'Mount Allison University','Contrib',3479,'true_false.pg',0,0,'en',0,0),(45533,139,276,_binary 'Mount Allison University','Contrib',3479,'true_false.pg',0,0,'en',0,0),(45534,429,276,_binary 'Mount Allison University','Contrib',3479,'true_false.pg',0,0,'en',0,0),(45535,606,276,_binary 'Mount Allison University','Contrib',3479,'parallelepiped_volume_r3.pg',0,0,'en',0,0),(45536,139,276,_binary 'Mount Allison University','Contrib',3479,'parallelepiped_volume_r3.pg',0,0,'en',0,0),(45537,429,276,_binary 'Mount Allison University','Contrib',3479,'parallelepiped_volume_r3.pg',0,0,'en',0,0),(45538,606,276,_binary 'Mount Allison University','Contrib',3479,'compute_orthogonal.pg',0,0,'en',0,0),(45539,139,276,_binary 'Mount Allison University','Contrib',3479,'compute_orthogonal.pg',0,0,'en',0,0),(45540,429,276,_binary 'Mount Allison University','Contrib',3479,'compute_orthogonal.pg',0,0,'en',0,0),(45541,606,276,_binary 'Mount Allison University','Contrib',3479,'compute_cross_products.pg',0,0,'en',0,0),(45542,139,276,_binary 'Mount Allison University','Contrib',3479,'compute_cross_products.pg',0,0,'en',0,0),(45543,429,276,_binary 'Mount Allison University','Contrib',3479,'compute_cross_products.pg',0,0,'en',0,0),(45544,606,276,_binary 'Mount Allison University','Contrib',3479,'parallelogram_area_r2.pg',0,0,'en',0,0),(45545,139,276,_binary 'Mount Allison University','Contrib',3479,'parallelogram_area_r2.pg',0,0,'en',0,0),(45546,429,276,_binary 'Mount Allison University','Contrib',3479,'parallelogram_area_r2.pg',0,0,'en',0,0),(45547,606,276,_binary 'Mount Allison University','Contrib',3479,'triangle_area_r2.pg',0,0,'en',0,0),(45548,139,276,_binary 'Mount Allison University','Contrib',3479,'triangle_area_r2.pg',0,0,'en',0,0),(45549,429,276,_binary 'Mount Allison University','Contrib',3479,'triangle_area_r2.pg',0,0,'en',0,0),(45550,606,276,_binary 'Mount Allison University','Contrib',3479,'parallelogram_area_r3.pg',0,0,'en',0,0),(45551,139,276,_binary 'Mount Allison University','Contrib',3479,'parallelogram_area_r3.pg',0,0,'en',0,0),(45552,429,276,_binary 'Mount Allison University','Contrib',3479,'parallelogram_area_r3.pg',0,0,'en',0,0),(45553,606,276,_binary 'Mount Allison University','Contrib',3479,'triangle_area_r3.pg',0,0,'en',0,0),(45554,139,276,_binary 'Mount Allison University','Contrib',3479,'triangle_area_r3.pg',0,0,'en',0,0),(45555,429,276,_binary 'Mount Allison University','Contrib',3479,'triangle_area_r3.pg',0,0,'en',0,0),(45556,408,276,_binary 'Mount Allison University','Contrib',3480,'true_false.pg',0,0,'en',0,0),(45557,407,276,_binary 'Mount Allison University','Contrib',3480,'rank_2_decomposition_3x3.pg',0,0,'en',0,0),(45558,407,276,_binary 'Mount Allison University','Contrib',3480,'rank_1_decomposition_3x3.pg',0,0,'en',0,0),(45559,399,276,_binary 'Mount Allison University','Contrib',3481,'how_many_solutions_3x3.pg',0,0,'en',0,0),(45560,268,276,_binary 'Mount Allison University','Contrib',3481,'true_false.pg',0,0,'en',0,0),(45561,526,276,_binary 'Mount Allison University','Contrib',3481,'true_false.pg',0,0,'en',0,0),(45562,399,276,_binary 'Mount Allison University','Contrib',3481,'solve_3x3_linear_system.pg',0,0,'en',0,0),(45563,398,276,_binary 'Mount Allison University','Contrib',3481,'solve_2x2_linear_system.pg',0,0,'en',0,0),(45564,398,276,_binary 'Mount Allison University','Contrib',3481,'how_many_solutions_2x2.pg',0,0,'en',0,0),(45565,449,276,_binary 'Mount Allison University','Contrib',3481,'orthogonal_to_3_vectors.pg',0,0,'en',0,0),(45566,407,276,_binary 'Mount Allison University','Contrib',3481,'rref_2x2.pg',0,0,'en',0,0),(45567,449,276,_binary 'Mount Allison University','Contrib',3481,'orthogonal_to_2_vectors.pg',0,0,'en',0,0),(45568,407,276,_binary 'Mount Allison University','Contrib',3481,'rref_2x3.pg',0,0,'en',0,0),(45569,398,276,_binary 'Mount Allison University','Contrib',3481,'how_many_solutions_3x2.pg',0,0,'en',0,0),(45570,407,276,_binary 'Mount Allison University','Contrib',3481,'rref_3x3.pg',0,0,'en',0,0),(45571,407,276,_binary 'Mount Allison University','Contrib',3481,'rref_3x2.pg',0,0,'en',0,0),(45572,399,276,_binary 'Mount Allison University','Contrib',3481,'how_many_free_variables.pg',0,0,'en',0,0),(45573,399,276,_binary 'Mount Allison University','Contrib',3481,'how_many_solutions_2x3.pg',0,0,'en',0,0),(45574,407,276,_binary 'Mount Allison University','Contrib',3481,'row_equivalent_3x3.pg',0,0,'en',0,0),(45575,407,276,_binary 'Mount Allison University','Contrib',3481,'row_equivalent_2x2.pg',0,0,'en',0,0),(45576,415,276,_binary 'Mount Allison University','Contrib',3482,'true_false.pg',0,0,'en',0,0),(45577,415,276,_binary 'Mount Allison University','Contrib',3482,'unit_lu_decomposition_3x3.pg',0,0,'en',0,0),(45578,415,276,_binary 'Mount Allison University','Contrib',3482,'unit_lu_decomposition_2x2.pg',0,0,'en',0,0),(45579,742,276,_binary 'Mount Allison University','Contrib',3483,'true_false.pg',0,0,'en',0,0),(45580,405,276,_binary 'Mount Allison University','Contrib',3484,'true_false.pg',0,0,'en',0,0),(45581,405,276,_binary 'Mount Allison University','Contrib',3484,'matrix_multiplication.pg',0,0,'en',0,0),(45582,405,276,_binary 'Mount Allison University','Contrib',3484,'makes_sense.pg',0,0,'en',0,0),(45583,405,276,_binary 'Mount Allison University','Contrib',3484,'block_matrix_makes_sense.pg',0,0,'en',0,0),(45584,405,276,_binary 'Mount Allison 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Northern Colorado','Contrib',3509,'2_2_6.pg',0,3,'en-US',0,0),(45764,297,277,_binary 'University of Northern Colorado','Contrib',3509,'2_2_7.pg',0,3,'en-US',0,0),(45765,555,277,_binary 'University of Northern Colorado','Contrib',3509,'2_2_7.pg',0,3,'en-US',0,0),(45766,1335,277,_binary 'Northern Colorado','Contrib',3510,'3_2_2.pg',0,6,'en',0,0),(45767,1335,277,_binary 'Northern Colorado','Contrib',3510,'3_2_3.pg',0,6,'en',0,0),(45768,1335,277,_binary 'University of Northern Colorado','Contrib',3510,'3_2_1.pg',0,6,'en',0,0),(45769,1335,277,_binary 'Northern Colorado','Contrib',3510,'3_2_5.pg',0,4,'en',0,0),(45770,1335,277,_binary 'Northern Colorado','Contrib',3510,'3_2_4.pg',0,6,'en',0,0),(45771,1329,277,_binary 'University of Northern Colorado','Contrib',3511,'3_1_13.pg',0,4,'en-US',0,0),(45772,1329,277,_binary 'University of Northern Colorado','Contrib',3511,'3_1_2.pg',0,3,'en-US',0,0),(45773,1329,277,_binary 'University of Northern 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of Northern Colorado','Contrib',3513,'1_3_12.pg',0,4,'en-US',0,0),(45784,734,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_2.pg',0,5,'en-US',0,0),(45785,740,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_5.pg',0,4,'en-US',0,0),(45786,734,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_7.pg',0,3,'en-US',0,0),(45787,740,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_1.pg',0,5,'en-US',0,0),(45788,734,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_11.pg',0,5,'en-US',0,0),(45789,740,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_3.pg',0,4,'en-US',0,0),(45790,740,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_4.pg',0,5,'en-US',0,0),(45791,740,277,_binary 'University of Northern Colorado','Contrib',3513,'1_3_13.pg',0,4,'en-US',0,0),(45792,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_6.pg',0,3,'en-US',0,0),(45793,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_4.pg',0,4,'en-US',0,0),(45794,733,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_1.pg',0,4,'en-US',0,0),(45795,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_5.pg',0,5,'en-US',0,0),(45796,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_10.pg',0,4,'en-US',0,0),(45797,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_8.pg',0,2,'en-US',0,0),(45798,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_9.pg',0,3,'en-US',0,0),(45799,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_7.pg',0,3,'en-US',0,0),(45800,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_2.pg',0,3,'en-US',0,0),(45801,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_11.pg',0,5,'en-US',0,0),(45802,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_12.pg',0,5,'en-US',0,0),(45803,735,277,_binary 'University of Northern Colorado','Contrib',3514,'1_2_3.pg',0,4,'en-US',0,0),(45804,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_1.pg',0,5,'en-US',0,0),(45805,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_9.pg',0,5,'en-US',0,0),(45806,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_4.pg',0,4,'en-US',0,0),(45807,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_11.pg',0,4,'en-US',0,0),(45808,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_10.pg',0,5,'en-US',0,0),(45809,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_3.pg',0,5,'en-US',0,0),(45810,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_3a.pg',0,0,'en-US',0,0),(45811,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_5.pg',0,5,'en-US',0,0),(45812,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_8.pg',0,4,'en-US',0,0),(45813,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_12.pg',0,4,'en-US',0,0),(45814,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_13.pg',0,4,'en-US',0,0),(45815,737,277,_binary 'University of Northern Colorado','Contrib',3515,'1_6_2.pg',0,5,'en-US',0,0),(45816,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_6.pg',0,5,'en-US',0,0),(45817,740,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_11.pg',0,5,'en-US',0,0),(45818,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_10.pg',0,4,'en-US',0,0),(45819,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_2.pg',0,4,'en-US',0,0),(45820,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_1.pg',0,4,'en-US',0,0),(45821,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_5.pg',0,4,'en-US',0,0),(45822,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_7.pg',0,5,'en-US',0,0),(45823,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_8.pg',0,4,'en-US',0,0),(45824,738,277,_binary 'University of Northern Colorado','Contrib',3516,'1_5_4.pg',0,5,'en-US',0,0),(45825,735,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_21.pg',0,4,'en-US',0,0),(45826,735,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_8.pg',0,4,'en-US',0,0),(45827,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_5.pg',0,4,'en-US',0,0),(45828,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_12.pg',0,4,'en-US',0,0),(45829,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_18.pg',0,4,'en-US',0,0),(45830,737,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_6.pg',0,5,'en-US',0,0),(45831,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_19.pg',0,5,'en-US',0,0),(45832,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_10.pg',0,4,'en-US',0,0),(45833,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_17.pg',0,4,'en-US',0,0),(45834,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_7.pg',0,4,'en-US',0,0),(45835,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_3.pg',0,5,'en-US',0,0),(45836,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_14.pg',0,4,'en-US',0,0),(45837,735,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_11.pg',0,5,'en-US',0,0),(45838,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_13.pg',0,4,'en-US',0,0),(45839,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_9.pg',0,4,'en-US',0,0),(45840,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_1.pg',0,5,'en-US',0,0),(45841,740,277,_binary 'University of Northern Colorado','Contrib',3517,'1_7_16.pg',0,5,'en-US',0,0),(45842,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_9.pg',0,5,'en-US',0,0),(45843,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_6.pg',0,4,'en-US',0,0),(45844,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_7.pg',0,5,'en-US',0,0),(45845,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_8.pg',0,5,'en-US',0,0),(45846,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_2.pg',0,5,'en-US',0,0),(45847,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_4.pg',0,5,'en-US',0,0),(45848,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_10.pg',0,5,'en-US',0,0),(45849,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_12.pg',0,5,'en-US',0,0),(45850,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_5.pg',0,4,'en-US',0,0),(45851,733,277,_binary 'University of Northern Colorado','Contrib',3518,'1_1_1.pg',0,5,'en-US',0,0),(45852,1315,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_1.pg',0,2,'en-US',0,0),(45853,1315,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_8.pg',0,2,'en-US',0,0),(45854,1321,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_7.pg',0,4,'en-US',0,0),(45855,1321,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_6.pg',0,4,'en-US',0,0),(45856,1321,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_5.pg',0,3,'en-US',0,0),(45857,1320,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_3.pg',0,3,'en-US',0,0),(45858,1321,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_4.pg',0,3,'en-US',0,0),(45859,1320,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_23-nr.pg',0,4,'en-US',0,0),(45860,1319,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_18.pg',0,4,'en-US',0,0),(45861,1315,277,_binary 'University of Northern Colorado','Contrib',3519,'0_3_9.pg',0,3,'en-US',0,0),(45862,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_11.pg',0,3,'en-US',0,0),(45863,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_7.pg',0,2,'en-US',0,0),(45864,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_1.pg',0,2,'en-US',0,0),(45865,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_9.pg',0,3,'en-US',0,0),(45866,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_6.pg',0,3,'en-US',0,0),(45867,1332,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_13.pg',0,2,'en-US',0,0),(45868,1332,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_12.pg',0,2,'en-US',0,0),(45869,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_2.pg',0,2,'en-US',0,0),(45870,1332,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_15.pg',0,3,'en-US',0,0),(45871,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_4.pg',0,3,'en-US',0,0),(45872,1328,277,_binary 'University of Northern Colorado','Contrib',3520,'0_2_5.pg',0,3,'en-US',0,0),(45873,1325,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_2.pg',0,2,'en-US',0,0),(45874,1325,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_4.pg',0,2,'en-US',0,0),(45875,1324,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_9.pg',0,3,'en-US',0,0),(45876,1325,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_5.pg',0,4,'en-US',0,0),(45877,1324,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_1.pg',0,3,'en-US',0,0),(45878,1324,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_10.pg',0,3,'en-US',0,0),(45879,1325,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_3.pg',0,2,'en-US',0,0),(45880,1325,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_6.pg',0,4,'en-US',0,0),(45881,1326,277,_binary 'University of Northern Colorado','Contrib',3521,'0_4_14.pg',0,4,'en-US',0,0),(45882,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem2.pg',0,0,'en',0,0),(45883,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem8.pg',0,0,'en',0,0),(45884,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem5.pg',0,0,'en',0,0),(45885,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem4.pg',0,0,'en',0,0),(45886,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem7.pg',0,0,'en',0,0),(45887,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem3.pg',0,0,'en',0,0),(45888,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem9.pg',0,0,'en',0,0),(45889,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem10.pg',0,0,'en',0,0),(45890,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem1.pg',0,0,'en',0,0),(45891,622,136,_binary 'UMASS-Amherst-Math-Stat','Contrib',2449,'Problem6.pg',0,0,'en',0,0),(45892,665,0,NULL,'Contrib',3522,'p2.pg',0,1,'en',0,0),(45893,667,0,_binary 'ASU','Contrib',3522,'p2_steps.pg',913,2,'en',0,0),(45894,288,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-hard.pg',0,2,'en',0,0),(45895,546,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-hard.pg',0,2,'en',0,0),(45896,288,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-binomial-bases.pg',0,2,'en',0,0),(45897,546,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-binomial-bases.pg',0,2,'en',0,0),(45898,288,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-binomial-rationals.pg',0,2,'en',0,0),(45899,546,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-binomial-rationals.pg',0,2,'en',0,0),(45900,288,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-easy.pg',0,2,'en',0,0),(45901,546,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-easy.pg',0,2,'en',0,0),(45902,288,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-med.pg',0,2,'en',0,0),(45903,546,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-med.pg',0,2,'en',0,0),(45904,288,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-binomial.pg',0,2,'en',0,0),(45905,546,278,_binary 'CUNY City Tech','Contrib',3523,'exponential-binomial.pg',0,2,'en',0,0),(45906,239,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough-fractions.pg',0,2,'en',0,0),(45907,497,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough-fractions.pg',0,2,'en',0,0),(45908,239,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough-fractions-hard.pg',0,2,'en',0,0),(45909,497,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough-fractions-hard.pg',0,2,'en',0,0),(45910,239,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough-fractions-medium.pg',0,2,'en',0,0),(45911,497,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough-fractions-medium.pg',0,2,'en',0,0),(45912,239,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough.pg',0,2,'en',0,0),(45913,497,278,_binary 'CUNY City Tech','Contrib',3524,'vertex-CtS-walkthrough.pg',0,2,'en',0,0),(45914,194,278,_binary 'CUNY City Tech','Contrib',3525,'multiply-divide-easy.pg',0,2,'en',0,0),(45915,194,278,_binary 'CUNY City Tech','Contrib',3525,'multiply-medium.pg',0,2,'en',0,0),(45916,194,278,_binary 'CUNY City Tech','Contrib',3525,'exponents-fraction-positive.pg',0,2,'en',0,0),(45917,194,278,_binary 'CUNY City Tech','Contrib',3525,'divide-medium.pg',0,2,'en',0,0),(45918,194,278,_binary 'CUNY City Tech','Contrib',3525,'negative1-exponents.pg',0,2,'en',0,0),(45919,194,278,_binary 'CUNY City Tech','Contrib',3525,'exponents-mixed-hard.pg',0,2,'en',0,0),(45920,194,278,_binary 'CUNY City Tech','Contrib',3525,'negative2-exponents.pg',0,2,'en',0,0),(45921,194,278,_binary 'CUNY City Tech','Contrib',3525,'powers-exponents-basic.pg',0,2,'en',0,0),(45922,194,278,_binary 'CUNY City Tech','Contrib',3525,'exponents-multiply-negative.pg',0,2,'en',0,0),(45923,268,278,_binary 'CUNY City Tech','Contrib',3526,'slope-intercept-standard.pg',0,2,'en',0,0),(45924,526,278,_binary 'CUNY City Tech','Contrib',3526,'slope-intercept-standard.pg',0,2,'en',0,0),(45925,268,278,_binary 'CUNY City Tech','Contrib',3526,'standard-standard.pg',0,2,'en',0,0),(45926,526,278,_binary 'CUNY City Tech','Contrib',3526,'standard-standard.pg',0,2,'en',0,0),(45927,268,278,_binary 'CUNY City Tech','Contrib',3526,'standard-standard-med.pg',0,2,'en',0,0),(45928,526,278,_binary 'CUNY City Tech','Contrib',3526,'standard-standard-med.pg',0,2,'en',0,0),(45929,268,278,_binary 'CUNY City Tech','Contrib',3526,'slope-intercepts.pg',0,2,'en',0,0),(45930,526,278,_binary 'CUNY City Tech','Contrib',3526,'slope-intercepts.pg',0,2,'en',0,0),(45931,268,278,_binary 'CUNY City Tech','Contrib',3526,'standard-standard-hard.pg',0,2,'en',0,0),(45932,526,278,_binary 'CUNY City Tech','Contrib',3526,'standard-standard-hard.pg',0,2,'en',0,0),(45933,308,278,_binary 'CUNY City Tech','Contrib',3527,'pos-neg-coterminal.pg',0,2,'en',0,0),(45934,566,278,_binary 'CUNY City Tech','Contrib',3527,'pos-neg-coterminal.pg',0,2,'en',0,0),(45935,308,278,_binary 'CUNY City Tech','Contrib',3527,'pos-neg-coterminal-neg.pg',0,2,'en',0,0),(45936,566,278,_binary 'CUNY City Tech','Contrib',3527,'pos-neg-coterminal-neg.pg',0,2,'en',0,0),(45937,306,278,_binary 'CUNY City Tech','Contrib',3527,'convert-degrees2rads-nice.pg',0,2,'en',0,0),(45938,564,278,_binary 'CUNY City Tech','Contrib',3527,'convert-degrees2rads-nice.pg',0,2,'en',0,0),(45939,306,278,_binary 'CUNY City Tech','Contrib',3527,'convert-rads2degrees-med.pg',0,2,'en',0,0),(45940,564,278,_binary 'CUNY City Tech','Contrib',3527,'convert-rads2degrees-med.pg',0,2,'en',0,0),(45941,306,278,_binary 'CUNY City Tech','Contrib',3527,'convert-rads2degrees-nice.pg',0,2,'en',0,0),(45942,564,278,_binary 'CUNY City Tech','Contrib',3527,'convert-rads2degrees-nice.pg',0,2,'en',0,0),(45943,306,278,_binary 'CUNY City Tech','Contrib',3527,'convert-degrees2rads-med.pg',0,2,'en',0,0),(45944,564,278,_binary 'CUNY City Tech','Contrib',3527,'convert-degrees2rads-med.pg',0,2,'en',0,0),(45945,252,278,_binary 'CUNY City Tech','Contrib',3528,'separated-quadraticLCD-med.pg',0,2,'en',0,0),(45946,510,278,_binary 'CUNY City Tech','Contrib',3528,'separated-quadraticLCD-med.pg',0,2,'en',0,0),(45947,252,278,_binary 'CUNY City Tech','Contrib',3528,'single-binomial-easy.pg',0,2,'en',0,0),(45948,510,278,_binary 'CUNY City Tech','Contrib',3528,'single-binomial-easy.pg',0,2,'en',0,0),(45949,252,278,_binary 'CUNY City Tech','Contrib',3528,'separated-reduce-DoS-med.pg',0,2,'en',0,0),(45950,510,278,_binary 'CUNY City Tech','Contrib',3528,'separated-reduce-DoS-med.pg',0,2,'en',0,0),(45951,252,278,_binary 'CUNY City Tech','Contrib',3528,'separated-reduce-mono-easy.pg',0,2,'en',0,0),(45952,510,278,_binary 'CUNY City Tech','Contrib',3528,'separated-reduce-mono-easy.pg',0,2,'en',0,0),(45953,195,278,_binary 'CUNY City Tech','Contrib',3529,'mixed-unsimplfied-radicals-with-coeff.pg',0,2,'en',0,0),(45954,195,278,_binary 'CUNY City Tech','Contrib',3529,'subtract-mixed-terms.pg',0,2,'en',0,0),(45955,195,278,_binary 'CUNY City Tech','Contrib',3529,'add-liketerms.pg',0,2,'en',0,0),(45956,195,278,_binary 'CUNY City Tech','Contrib',3529,'algebraic-unsimplfied-radicals-frac-coeff.pg',0,2,'en',0,0),(45957,195,278,_binary 'CUNY City Tech','Contrib',3529,'algebraic-unsimplfied-radicals-with-coeff.pg',0,2,'en',0,0),(45958,195,278,_binary 'CUNY City Tech','Contrib',3529,'subtract-liketerms.pg',0,2,'en',0,0),(45959,195,278,_binary 'CUNY City Tech','Contrib',3529,'add-unsimplfied-radicals.pg',0,2,'en',0,0),(45960,195,278,_binary 'CUNY City Tech','Contrib',3529,'add-unsimplfied-radicals-with-coeff.pg',0,2,'en',0,0),(45961,227,278,_binary 'CUNY City Tech','Contrib',3530,'slope-formula.pg',0,2,'en',0,0),(45962,485,278,_binary 'CUNY City Tech','Contrib',3530,'slope-formula.pg',0,2,'en',0,0),(45963,230,278,_binary 'CUNY City Tech','Contrib',3530,'perpendicular-formula.pg',0,2,'en',0,0),(45964,488,278,_binary 'CUNY City Tech','Contrib',3530,'perpendicular-formula.pg',0,2,'en',0,0),(45965,230,278,_binary 'CUNY City Tech','Contrib',3530,'point-slope-formula.pg',0,2,'en',0,0),(45966,488,278,_binary 'CUNY City Tech','Contrib',3530,'point-slope-formula.pg',0,2,'en',0,0),(45967,230,278,_binary 'CUNY City Tech','Contrib',3530,'from-graph-ratl-inter.pg',0,2,'en',0,0),(45968,488,278,_binary 'CUNY City Tech','Contrib',3530,'from-graph-ratl-inter.pg',0,2,'en',0,0),(45969,230,278,_binary 'CUNY City Tech','Contrib',3530,'parallel-formula.pg',0,2,'en',0,0),(45970,488,278,_binary 'CUNY City Tech','Contrib',3530,'parallel-formula.pg',0,2,'en',0,0),(45971,230,278,_binary 'CUNY City Tech','Contrib',3530,'from-graph-integ-inter.pg',0,2,'en',0,0),(45972,488,278,_binary 'CUNY City Tech','Contrib',3530,'from-graph-integ-inter.pg',0,2,'en',0,0),(45973,227,278,_binary 'CUNY City Tech','Contrib',3530,'slope-formula-equation.pg',0,2,'en',0,0),(45974,485,278,_binary 'CUNY City Tech','Contrib',3530,'slope-formula-equation.pg',0,2,'en',0,0),(45975,197,278,_binary 'CUNY City Tech','Contrib',3531,'three-points-right-triangle.pg',0,2,'en',0,0),(45976,197,278,_binary 'CUNY City Tech','Contrib',3531,'two-points.pg',0,2,'en',0,0),(45977,239,278,_binary 'CUNY City Tech','Contrib',3532,'complete-the-square-walkthrough.pg',0,2,'en',0,0),(45978,497,278,_binary 'CUNY City Tech','Contrib',3532,'complete-the-square-walkthrough.pg',0,2,'en',0,0),(45979,239,278,_binary 'CUNY City Tech','Contrib',3532,'complete-the-square-irrational.pg',0,2,'en',0,0),(45980,497,278,_binary 'CUNY City Tech','Contrib',3532,'complete-the-square-irrational.pg',0,2,'en',0,0),(45981,239,278,_binary 'CUNY City Tech','Contrib',3532,'complete-the-square-imaginary.pg',0,2,'en',0,0),(45982,497,278,_binary 'CUNY City Tech','Contrib',3532,'complete-the-square-imaginary.pg',0,2,'en',0,0),(45983,242,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares-imperfect.pg',0,2,'en',0,0),(45984,500,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares-imperfect.pg',0,2,'en',0,0),(45985,242,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares-perfect.pg',0,2,'en',0,0),(45986,500,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares-perfect.pg',0,2,'en',0,0),(45987,242,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares-imperfect-fractions.pg',0,2,'en',0,0),(45988,500,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares-imperfect-fractions.pg',0,2,'en',0,0),(45989,242,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares1.pg',0,2,'en',0,0),(45990,500,278,_binary 'CUNY City Tech','Contrib',3532,'basic-squares1.pg',0,2,'en',0,0),(45991,239,278,_binary 'CUNY City Tech','Contrib',3532,'basic-complete-square-factor-fraction.pg',0,2,'en',0,0),(45992,497,278,_binary 'CUNY City Tech','Contrib',3532,'basic-complete-square-factor-fraction.pg',0,2,'en',0,0),(45993,239,278,_binary 'CUNY City Tech','Contrib',3532,'basic-complete-square-factor.pg',0,2,'en',0,0),(45994,497,278,_binary 'CUNY City Tech','Contrib',3532,'basic-complete-square-factor.pg',0,2,'en',0,0),(45995,252,278,_binary 'CUNY City Tech','Contrib',3533,'binomial-mono-med.pg',0,2,'en',0,0),(45996,510,278,_binary 'CUNY City Tech','Contrib',3533,'binomial-mono-med.pg',0,2,'en',0,0),(45997,252,278,_binary 'CUNY City Tech','Contrib',3533,'diff-of-squares-mono-med.pg',0,2,'en',0,0),(45998,510,278,_binary 'CUNY City Tech','Contrib',3533,'diff-of-squares-mono-med.pg',0,2,'en',0,0),(45999,252,278,_binary 'CUNY City Tech','Contrib',3533,'mono-easy.pg',0,2,'en',0,0),(46000,510,278,_binary 'CUNY City Tech','Contrib',3533,'mono-easy.pg',0,2,'en',0,0),(46001,252,278,_binary 'CUNY City Tech','Contrib',3533,'separated-algebraic-hard.pg',0,2,'en',0,0),(46002,510,278,_binary 'CUNY City Tech','Contrib',3533,'separated-algebraic-hard.pg',0,2,'en',0,0),(46003,252,278,_binary 'CUNY City Tech','Contrib',3533,'mono-med.pg',0,2,'en',0,0),(46004,510,278,_binary 'CUNY City Tech','Contrib',3533,'mono-med.pg',0,2,'en',0,0),(46005,252,278,_binary 'CUNY City Tech','Contrib',3533,'separated-numeric.pg',0,2,'en',0,0),(46006,510,278,_binary 'CUNY City Tech','Contrib',3533,'separated-numeric.pg',0,2,'en',0,0),(46007,285,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-neg-exponential.pg',0,2,'en',0,0),(46008,543,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-neg-exponential.pg',0,2,'en',0,0),(46009,285,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-exponential1.pg',0,2,'en',0,0),(46010,543,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-exponential1.pg',0,2,'en',0,0),(46011,285,278,_binary 'CUNY City Tech','Contrib',3534,'solve-exponential-medium.pg',0,2,'en',0,0),(46012,543,278,_binary 'CUNY City Tech','Contrib',3534,'solve-exponential-medium.pg',0,2,'en',0,0),(46013,285,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-irrational-exponential.pg',0,2,'en',0,0),(46014,543,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-irrational-exponential.pg',0,2,'en',0,0),(46015,285,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-frac-exponential.pg',0,2,'en',0,0),(46016,543,278,_binary 'CUNY City Tech','Contrib',3534,'evaluate-frac-exponential.pg',0,2,'en',0,0),(46017,285,278,_binary 'CUNY City Tech','Contrib',3534,'solve-exponential.pg',0,2,'en',0,0),(46018,543,278,_binary 'CUNY City Tech','Contrib',3534,'solve-exponential.pg',0,2,'en',0,0),(46019,243,278,_binary 'CUNY City Tech','Contrib',3535,'vertex-formula-fractions-hard.pg',0,2,'en',0,0),(46020,501,278,_binary 'CUNY City Tech','Contrib',3535,'vertex-formula-fractions-hard.pg',0,2,'en',0,0),(46021,243,278,_binary 'CUNY City Tech','Contrib',3535,'vertex-formula-fractions.pg',0,2,'en',0,0),(46022,501,278,_binary 'CUNY City Tech','Contrib',3535,'vertex-formula-fractions.pg',0,2,'en',0,0),(46023,243,278,_binary 'CUNY City Tech','Contrib',3535,'vertex-formula-integers.pg',0,2,'en',0,0),(46024,501,278,_binary 'CUNY City Tech','Contrib',3535,'vertex-formula-integers.pg',0,2,'en',0,0),(46025,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-monomial1.pg',0,2,'en',0,0),(46026,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-integers2.pg',0,2,'en',0,0),(46027,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-integers1.pg',0,2,'en',0,0),(46028,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-simple-mixed-fraction.pg',0,2,'en',0,0),(46029,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-mixed-monomial.pg',0,2,'en',0,0),(46030,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-long-monomial-with-out.pg',0,2,'en',0,0),(46031,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-simple-integer-fraction.pg',0,2,'en',0,0),(46032,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-monomial2.pg',0,2,'en',0,0),(46033,195,278,_binary 'CUNY City Tech','Contrib',3536,'simplify-long-monomial.pg',0,2,'en',0,0),(46034,287,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-3.pg',0,2,'en',0,0),(46035,545,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-3.pg',0,2,'en',0,0),(46036,287,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-algebraic-2.pg',0,2,'en',0,0),(46037,545,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-algebraic-2.pg',0,2,'en',0,0),(46038,287,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-2.pg',0,2,'en',0,0),(46039,545,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-2.pg',0,2,'en',0,0),(46040,287,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-base-10.pg',0,2,'en',0,0),(46041,545,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-base-10.pg',0,2,'en',0,0),(46042,287,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-4.pg',0,2,'en',0,0),(46043,545,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-4.pg',0,2,'en',0,0),(46044,287,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-5.pg',0,2,'en',0,0),(46045,545,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs-5.pg',0,2,'en',0,0),(46046,287,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-algebraic-3.pg',0,2,'en',0,0),(46047,545,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-algebraic-3.pg',0,2,'en',0,0),(46048,287,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-1.pg',0,2,'en',0,0),(46049,545,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-1.pg',0,2,'en',0,0),(46050,287,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs.pg',0,2,'en',0,0),(46051,545,278,_binary 'CUNY City Tech','Contrib',3537,'evaluate-integer-logs.pg',0,2,'en',0,0),(46052,287,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-algebraic.pg',0,2,'en',0,0),(46053,545,278,_binary 'CUNY City Tech','Contrib',3537,'exponential-form-algebraic.pg',0,2,'en',0,0),(46054,245,278,_binary 'CUNY City Tech','Contrib',3538,'shift-down.pg',0,2,'en',0,0),(46055,503,278,_binary 'CUNY City Tech','Contrib',3538,'shift-down.pg',0,2,'en',0,0),(46056,245,278,_binary 'CUNY City Tech','Contrib',3538,'shift-right.pg',0,2,'en',0,0),(46057,503,278,_binary 'CUNY City Tech','Contrib',3538,'shift-right.pg',0,2,'en',0,0),(46058,245,278,_binary 'CUNY City Tech','Contrib',3538,'shift-up-leftOrRight.pg',0,2,'en',0,0),(46059,503,278,_binary 'CUNY City Tech','Contrib',3538,'shift-up-leftOrRight.pg',0,2,'en',0,0),(46060,245,278,_binary 'CUNY City Tech','Contrib',3538,'shift-up.pg',0,2,'en',0,0),(46061,503,278,_binary 'CUNY City Tech','Contrib',3538,'shift-up.pg',0,2,'en',0,0),(46062,245,278,_binary 'CUNY City Tech','Contrib',3538,'shift-down-leftOrRight.pg',0,2,'en',0,0),(46063,503,278,_binary 'CUNY City Tech','Contrib',3538,'shift-down-leftOrRight.pg',0,2,'en',0,0),(46064,245,278,_binary 'CUNY City Tech','Contrib',3538,'shift-left.pg',0,2,'en',0,0),(46065,503,278,_binary 'CUNY City Tech','Contrib',3538,'shift-left.pg',0,2,'en',0,0),(46066,203,278,_binary 'CUNY City Tech','Contrib',3539,'dos-med.pg',0,2,'en',0,0),(46067,203,278,_binary 'CUNY City Tech','Contrib',3539,'dos-basic.pg',0,2,'en',0,0),(46068,203,278,_binary 'CUNY City Tech','Contrib',3539,'dos-basic2.pg',0,2,'en',0,0),(46069,203,278,_binary 'CUNY City Tech','Contrib',3539,'dos-med3.pg',0,2,'en',0,0),(46070,203,278,_binary 'CUNY City Tech','Contrib',3539,'dos-med2.pg',0,2,'en',0,0),(46071,310,278,_binary 'CUNY City Tech','Contrib',3540,'identify-both.pg',0,2,'en',0,0),(46072,568,278,_binary 'CUNY City Tech','Contrib',3540,'identify-both.pg',0,2,'en',0,0),(46073,310,278,_binary 'CUNY City Tech','Contrib',3540,'function-graphing-period.pg',0,2,'en',0,0),(46074,568,278,_binary 'CUNY City Tech','Contrib',3540,'function-graphing-period.pg',0,2,'en',0,0),(46075,310,278,_binary 'CUNY City Tech','Contrib',3540,'identify-amplitude.pg',0,2,'en',0,0),(46076,568,278,_binary 'CUNY City Tech','Contrib',3540,'identify-amplitude.pg',0,2,'en',0,0),(46077,310,278,_binary 'CUNY City Tech','Contrib',3540,'identify-period.pg',0,2,'en',0,0),(46078,568,278,_binary 'CUNY City Tech','Contrib',3540,'identify-period.pg',0,2,'en',0,0),(46079,310,278,_binary 'CUNY City Tech','Contrib',3540,'function-graphing.pg',0,2,'en',0,0),(46080,568,278,_binary 'CUNY City Tech','Contrib',3540,'function-graphing.pg',0,2,'en',0,0),(46081,273,278,_binary 'CUNY City Tech','Contrib',3541,'hard-binomial-root-quadratics.pg',0,2,'en',0,0),(46082,531,278,_binary 'CUNY City Tech','Contrib',3541,'hard-binomial-root-quadratics.pg',0,2,'en',0,0),(46083,273,278,_binary 'CUNY City Tech','Contrib',3541,'simple-monomial-root.pg',0,2,'en',0,0),(46084,531,278,_binary 'CUNY City Tech','Contrib',3541,'simple-monomial-root.pg',0,2,'en',0,0),(46085,273,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root.pg',0,2,'en',0,0),(46086,531,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root.pg',0,2,'en',0,0),(46087,273,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-NS.pg',0,2,'en',0,0),(46088,531,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-NS.pg',0,2,'en',0,0),(46089,273,278,_binary 'CUNY City Tech','Contrib',3541,'simple-binomial-root.pg',0,2,'en',0,0),(46090,531,278,_binary 'CUNY City Tech','Contrib',3541,'simple-binomial-root.pg',0,2,'en',0,0),(46091,273,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-quadratics.pg',0,2,'en',0,0),(46092,531,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-quadratics.pg',0,2,'en',0,0),(46093,273,278,_binary 'CUNY City Tech','Contrib',3541,'hard-binomial-root-quadratic.pg',0,2,'en',0,0),(46094,531,278,_binary 'CUNY City Tech','Contrib',3541,'hard-binomial-root-quadratic.pg',0,2,'en',0,0),(46095,273,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-quadratic.pg',0,2,'en',0,0),(46096,531,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-quadratic.pg',0,2,'en',0,0),(46097,273,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-nosolution.pg',0,2,'en',0,0),(46098,531,278,_binary 'CUNY City Tech','Contrib',3541,'medium-binomial-root-nosolution.pg',0,2,'en',0,0),(46099,195,278,_binary 'CUNY City Tech','Contrib',3542,'square-root-fraction.pg',0,2,'en',0,0),(46100,195,278,_binary 'CUNY City Tech','Contrib',3542,'square-roots-with-negatives.pg',0,2,'en',0,0),(46101,195,278,_binary 'CUNY City Tech','Contrib',3542,'even-root-negative-one.pg',0,2,'en',0,0),(46102,195,278,_binary 'CUNY City Tech','Contrib',3542,'alg-roots-perfect-monomials.pg',0,2,'en',0,0),(46103,195,278,_binary 'CUNY City Tech','Contrib',3542,'alg-roots-perfect-mixed-frac-mono3.pg',0,2,'en',0,0),(46104,195,278,_binary 'CUNY City Tech','Contrib',3542,'cube-root-negative-fraction.pg',0,2,'en',0,0),(46105,195,278,_binary 'CUNY City Tech','Contrib',3542,'alg-roots-perfect-polynomials.pg',0,2,'en',0,0),(46106,195,278,_binary 'CUNY City Tech','Contrib',3542,'alg-roots-perfect-mixed-mono2.pg',0,2,'en',0,0),(46107,195,278,_binary 'CUNY City Tech','Contrib',3542,'square-root-decimal.pg',0,2,'en',0,0),(46108,195,278,_binary 'CUNY City Tech','Contrib',3542,'higher-power-half.pg',0,2,'en',0,0),(46109,195,278,_binary 'CUNY City Tech','Contrib',3542,'cube-roots-with-negatives.pg',0,2,'en',0,0),(46110,195,278,_binary 'CUNY City Tech','Contrib',3542,'alg-roots-perfect-mixed-mono1.pg',0,2,'en',0,0),(46111,198,278,_binary 'CUNY City Tech','Contrib',3543,'identify-center-radius-CtS.pg',0,2,'en',0,0),(46112,198,278,_binary 'CUNY City Tech','Contrib',3543,'identify-center-radical-radius.pg',0,2,'en',0,0),(46113,198,278,_binary 'CUNY City Tech','Contrib',3543,'formula-from-diameter-endpts.pg',0,2,'en',0,0),(46114,198,278,_binary 'CUNY City Tech','Contrib',3543,'identify-center-integer-radius.pg',0,2,'en',0,0),(46115,198,278,_binary 'CUNY City Tech','Contrib',3543,'identify-center-radical-radius-CtS.pg',0,2,'en',0,0),(46116,329,278,_binary 'CUNY City Tech','Contrib',3544,'tangent-basic.pg',0,2,'en',0,0),(46117,582,278,_binary 'CUNY City Tech','Contrib',3544,'tangent-basic.pg',0,2,'en',0,0),(46118,329,278,_binary 'CUNY City Tech','Contrib',3544,'random-zero.pg',0,2,'en',0,0),(46119,582,278,_binary 'CUNY City Tech','Contrib',3544,'random-zero.pg',0,2,'en',0,0),(46120,329,278,_binary 'CUNY City Tech','Contrib',3544,'sine-basic.pg',0,2,'en',0,0),(46121,582,278,_binary 'CUNY City Tech','Contrib',3544,'sine-basic.pg',0,2,'en',0,0),(46122,329,278,_binary 'CUNY City Tech','Contrib',3544,'full-solutions-quadratic.pg',0,2,'en',0,0),(46123,582,278,_binary 'CUNY City Tech','Contrib',3544,'full-solutions-quadratic.pg',0,2,'en',0,0),(46124,329,278,_binary 'CUNY City Tech','Contrib',3544,'cosine-basic.pg',0,2,'en',0,0),(46125,582,278,_binary 'CUNY City Tech','Contrib',3544,'cosine-basic.pg',0,2,'en',0,0),(46126,329,278,_binary 'CUNY City Tech','Contrib',3544,'fundamental-equation.pg',0,2,'en',0,0),(46127,582,278,_binary 'CUNY City Tech','Contrib',3544,'fundamental-equation.pg',0,2,'en',0,0),(46128,329,278,_binary 'CUNY City Tech','Contrib',3544,'different-trig-factors.pg',0,2,'en',0,0),(46129,582,278,_binary 'CUNY City Tech','Contrib',3544,'different-trig-factors.pg',0,2,'en',0,0),(46130,329,278,_binary 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Tech','Contrib',3546,'rationalize1.pg',0,2,'en',0,0),(46161,195,278,_binary 'CUNY City Tech','Contrib',3546,'conjugate3.pg',0,2,'en',0,0),(46162,195,278,_binary 'CUNY City Tech','Contrib',3546,'conjugate1.pg',0,2,'en',0,0),(46163,195,278,_binary 'CUNY City Tech','Contrib',3546,'rationalize4.pg',0,2,'en',0,0),(46164,195,278,_binary 'CUNY City Tech','Contrib',3546,'rationalize3.pg',0,2,'en',0,0),(46165,240,278,_binary 'CUNY City Tech','Contrib',3547,'two-real-scaff.pg',0,2,'en',0,0),(46166,498,278,_binary 'CUNY City Tech','Contrib',3547,'two-real-scaff.pg',0,2,'en',0,0),(46167,240,278,_binary 'CUNY City Tech','Contrib',3547,'nonmonic-two-complex-NS.pg',0,2,'en',0,0),(46168,498,278,_binary 'CUNY City Tech','Contrib',3547,'nonmonic-two-complex-NS.pg',0,2,'en',0,0),(46169,240,278,_binary 'CUNY City Tech','Contrib',3547,'nonmonic-two-complex-scaff.pg',0,2,'en',0,0),(46170,498,278,_binary 'CUNY City Tech','Contrib',3547,'nonmonic-two-complex-scaff.pg',0,2,'en',0,0),(46171,240,278,_binary 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Tech','Contrib',3551,'AC-hard.pg',0,2,'en',0,0),(46204,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-basic2.pg',0,2,'en',0,0),(46205,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-medium2.pg',0,2,'en',0,0),(46206,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-basic4.pg',0,2,'en',0,0),(46207,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-basic.pg',0,2,'en',0,0),(46208,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-basic3.pg',0,2,'en',0,0),(46209,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-medium3.pg',0,2,'en',0,0),(46210,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-medium.pg',0,2,'en',0,0),(46211,202,278,_binary 'CUNY City Tech','Contrib',3551,'AC-medium4.pg',0,2,'en',0,0),(46212,268,278,_binary 'CUNY City Tech','Contrib',3552,'linear-system.pg',0,2,'en',0,0),(46213,526,278,_binary 'CUNY City Tech','Contrib',3552,'linear-system.pg',0,2,'en',0,0),(46214,236,278,_binary 'CUNY City Tech','Contrib',3553,'standard-two-lines-parallel.pg',0,2,'en',0,0),(46215,494,278,_binary 'CUNY City Tech','Contrib',3553,'standard-two-lines-parallel.pg',0,2,'en',0,0),(46216,236,278,_binary 'CUNY City Tech','Contrib',3554,'line-slope-intercept.pg',0,2,'en',0,0),(46217,494,278,_binary 'CUNY City Tech','Contrib',3554,'line-slope-intercept.pg',0,2,'en',0,0),(46218,236,278,_binary 'CUNY City Tech','Contrib',3555,'fixed-point-slope.pg',0,2,'en',0,0),(46219,494,278,_binary 'CUNY City Tech','Contrib',3555,'fixed-point-slope.pg',0,2,'en',0,0),(46220,236,278,_binary 'CUNY City Tech','Contrib',3556,'two-lines-parallel.pg',0,2,'en',0,0),(46221,494,278,_binary 'CUNY City Tech','Contrib',3556,'two-lines-parallel.pg',0,2,'en',0,0),(46222,236,278,_binary 'CUNY City Tech','Contrib',3557,'two-lines-perpendicular.pg',0,2,'en',0,0),(46223,494,278,_binary 'CUNY City Tech','Contrib',3557,'two-lines-perpendicular.pg',0,2,'en',0,0),(46224,236,278,_binary 'CUNY City Tech','Contrib',3557,'standard-two-lines-perpendicular.pg',0,2,'en',0,0),(46225,494,278,_binary 'CUNY City Tech','Contrib',3557,'standard-two-lines-perpendicular.pg',0,2,'en',0,0),(46226,268,278,_binary 'CUNY City Tech','Contrib',3558,'standard-linear-system.pg',0,2,'en',0,0),(46227,526,278,_binary 'CUNY City Tech','Contrib',3558,'standard-linear-system.pg',0,2,'en',0,0),(46228,236,278,_binary 'CUNY City Tech','Contrib',3559,'standard-line-slope-intercept.pg',0,2,'en',0,0),(46229,494,278,_binary 'CUNY City Tech','Contrib',3559,'standard-line-slope-intercept.pg',0,2,'en',0,0),(46230,251,278,_binary 'CUNY City Tech','Contrib',3560,'diff-mono-easy.pg',0,2,'en',0,0),(46231,509,278,_binary 'CUNY City Tech','Contrib',3560,'diff-mono-easy.pg',0,2,'en',0,0),(46232,251,278,_binary 'CUNY City Tech','Contrib',3560,'add-reduce-factoring-medium.pg',0,2,'en',0,0),(46233,509,278,_binary 'CUNY City Tech','Contrib',3560,'add-reduce-factoring-medium.pg',0,2,'en',0,0),(46234,251,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-easy-scaff.pg',0,2,'en',0,0),(46235,509,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-easy-scaff.pg',0,2,'en',0,0),(46236,251,278,_binary 'CUNY City Tech','Contrib',3560,'add-mono-reduce-easy.pg',0,2,'en',0,0),(46237,509,278,_binary 'CUNY City Tech','Contrib',3560,'add-mono-reduce-easy.pg',0,2,'en',0,0),(46238,251,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-med-scaff.pg',0,2,'en',0,0),(46239,509,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-med-scaff.pg',0,2,'en',0,0),(46240,251,278,_binary 'CUNY City Tech','Contrib',3560,'add-reduce-factoring-easy.pg',0,2,'en',0,0),(46241,509,278,_binary 'CUNY City Tech','Contrib',3560,'add-reduce-factoring-easy.pg',0,2,'en',0,0),(46242,251,278,_binary 'CUNY City Tech','Contrib',3560,'add-DiffSquares-med-scaff.pg',0,2,'en',0,0),(46243,509,278,_binary 'CUNY City Tech','Contrib',3560,'add-DiffSquares-med-scaff.pg',0,2,'en',0,0),(46244,251,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-easy.pg',0,2,'en',0,0),(46245,509,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-easy.pg',0,2,'en',0,0),(46246,251,278,_binary 'CUNY City Tech','Contrib',3560,'add-binomial-reduce-medium.pg',0,2,'en',0,0),(46247,509,278,_binary 'CUNY City Tech','Contrib',3560,'add-binomial-reduce-medium.pg',0,2,'en',0,0),(46248,251,278,_binary 'CUNY City Tech','Contrib',3560,'diff-mono-easy-scaff.pg',0,2,'en',0,0),(46249,509,278,_binary 'CUNY City Tech','Contrib',3560,'diff-mono-easy-scaff.pg',0,2,'en',0,0),(46250,251,278,_binary 'CUNY City Tech','Contrib',3560,'subtract-noreduce-medium.pg',0,2,'en',0,0),(46251,509,278,_binary 'CUNY City Tech','Contrib',3560,'subtract-noreduce-medium.pg',0,2,'en',0,0),(46252,251,278,_binary 'CUNY City Tech','Contrib',3560,'subtract-noreduce-easy.pg',0,2,'en',0,0),(46253,509,278,_binary 'CUNY City Tech','Contrib',3560,'subtract-noreduce-easy.pg',0,2,'en',0,0),(46254,251,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-med.pg',0,2,'en',0,0),(46255,509,278,_binary 'CUNY City Tech','Contrib',3560,'diff-binomial-med.pg',0,2,'en',0,0),(46256,251,278,_binary 'CUNY City Tech','Contrib',3560,'add-DiffSquares-med.pg',0,2,'en',0,0),(46257,509,278,_binary 'CUNY City Tech','Contrib',3560,'add-DiffSquares-med.pg',0,2,'en',0,0),(46258,238,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-binomials.pg',0,2,'en',0,0),(46259,496,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-binomials.pg',0,2,'en',0,0),(46260,238,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-fundamental.pg',0,2,'en',0,0),(46261,496,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-fundamental.pg',0,2,'en',0,0),(46262,238,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-standard-medium.pg',0,2,'en',0,0),(46263,496,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-standard-medium.pg',0,2,'en',0,0),(46264,238,278,_binary 'CUNY City Tech','Contrib',3561,'ZPP-binomials-medium.pg',0,2,'en',0,0),(46265,496,278,_binary 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Tech','Contrib',3597,'graphs-repeated-factors.pg',0,0,'en',0,0),(46680,280,278,_binary 'City Tech','Contrib',3597,'intro-vertical.pg',0,0,'en',0,0),(46681,538,278,_binary 'City Tech','Contrib',3597,'intro-vertical.pg',0,0,'en',0,0),(46682,280,278,_binary 'City Tech','Contrib',3597,'intro-coeff.pg',0,0,'en',0,0),(46683,538,278,_binary 'City Tech','Contrib',3597,'intro-coeff.pg',0,0,'en',0,0),(46684,280,278,_binary 'City Tech','Contrib',3597,'challenge-equation-from-graph.pg',0,0,'en',0,0),(46685,538,278,_binary 'City Tech','Contrib',3597,'challenge-equation-from-graph.pg',0,0,'en',0,0),(46686,327,0,_binary 'ASU','Contrib',3598,'TrueFalse-trig-identity.pg',0,3,'en',0,0),(46687,580,0,_binary 'ASU','Contrib',3598,'TrueFalse-trig-identity.pg',0,3,'en',0,0),(46688,327,158,_binary 'NAU','Contrib',3598,'match-trigonometric-expressions.pg',996,2,'en',0,0),(46689,580,158,_binary 'NAU','Contrib',3598,'match-trigonometric-expressions.pg',996,2,'en',0,0),(46690,328,158,_binary 'NAU','Contrib',3598,'simplify-trig-product.pg',0,2,'en',0,0),(46691,581,158,_binary 'NAU','Contrib',3598,'simplify-trig-product.pg',0,2,'en',0,0),(46692,328,158,_binary 'NAU','Contrib',3598,'simplify-trig-squared.pg',0,3,'en',0,0),(46693,581,158,_binary 'NAU','Contrib',3598,'simplify-trig-squared.pg',0,3,'en',0,0),(46694,328,0,NULL,'Contrib',3598,'basic-identities.pg',0,0,'en',0,0),(46695,581,0,NULL,'Contrib',3598,'basic-identities.pg',0,0,'en',0,0),(46696,212,143,_binary 'PCC','Contrib',3599,'FunctionInContext10.pg',0,4,'en',0,1),(46697,470,143,_binary 'PCC','Contrib',3599,'FunctionInContext10.pg',0,4,'en',0,1),(46698,212,143,_binary 'PCC','Contrib',3599,'FunctionInContext20.pg',0,4,'en',0,1),(46699,470,143,_binary 'PCC','Contrib',3599,'FunctionInContext20.pg',0,4,'en',0,1),(46700,212,148,_binary 'PCC','Contrib',3599,'DataFromTable10.pg',0,5,'en',0,1),(46701,470,148,_binary 'PCC','Contrib',3599,'DataFromTable10.pg',0,5,'en',0,1),(46702,212,143,_binary 'PCC','Contrib',3599,'FunctionInContext30.pg',3002,4,'en',0,1),(46703,470,143,_binary 'PCC','Contrib',3599,'FunctionInContext30.pg',3002,4,'en',0,1),(46704,205,278,_binary 'City Tech','Contrib',3599,'function-intro.pg',0,0,'en',0,0),(46705,463,278,_binary 'City Tech','Contrib',3599,'function-intro.pg',0,0,'en',0,0),(46706,258,278,_binary 'City Tech','Contrib',3600,'vertical-line-test.pg',0,0,'en',0,0),(46707,516,278,_binary 'City Tech','Contrib',3600,'vertical-line-test.pg',0,0,'en',0,0),(46708,258,278,_binary 'City Tech','Contrib',3600,'max-min-roots-2.pg',0,0,'en',0,0),(46709,516,278,_binary 'City Tech','Contrib',3600,'max-min-roots-2.pg',0,0,'en',0,0),(46710,258,278,_binary 'City Tech','Contrib',3600,'max-min-roots.pg',0,0,'en',0,0),(46711,516,278,_binary 'City Tech','Contrib',3600,'max-min-roots.pg',0,0,'en',0,0),(46712,296,278,_binary 'City Tech','Contrib',3601,'binomial-expansion-advanced.pg',0,0,'en',0,0),(46713,554,278,_binary 'City Tech','Contrib',3601,'binomial-expansion-advanced.pg',0,0,'en',0,0),(46714,296,278,_binary 'City Tech','Contrib',3601,'binomial-expansion.pg',0,0,'en',0,0),(46715,554,278,_binary 'City Tech','Contrib',3601,'binomial-expansion.pg',0,0,'en',0,0),(46716,296,278,_binary 'City Tech','Contrib',3601,'pascals-triangle.pg',0,0,'en',0,0),(46717,554,278,_binary 'City Tech','Contrib',3601,'pascals-triangle.pg',0,0,'en',0,0),(46718,296,278,_binary 'City Tech','Contrib',3602,'pascals-triangle.pg',0,0,'en',0,0),(46719,554,278,_binary 'City Tech','Contrib',3602,'pascals-triangle.pg',0,0,'en',0,0),(46720,605,278,_binary 'City Tech','Contrib',3603,'vector-direction.pg',0,0,'en',0,0),(46721,138,278,_binary 'City Tech','Contrib',3603,'vector-direction.pg',0,0,'en',0,0),(46722,428,278,_binary 'City Tech','Contrib',3603,'vector-direction.pg',0,0,'en',0,0),(46723,605,278,_binary 'City Tech','Contrib',3603,'vector-magnitude.pg',0,0,'en',0,0),(46724,138,278,_binary 'City Tech','Contrib',3603,'vector-magnitude.pg',0,0,'en',0,0),(46725,428,278,_binary 'City Tech','Contrib',3603,'vector-magnitude.pg',0,0,'en',0,0),(46726,334,278,_binary 'City Tech','Contrib',3603,'ggb-magnitude-direction.pg',0,0,'en',0,0),(46727,130,278,_binary 'City Tech','Contrib',3603,'ggb-magnitude-direction.pg',0,0,'en',0,0),(46728,587,278,_binary 'City Tech','Contrib',3603,'ggb-magnitude-direction.pg',0,0,'en',0,0),(46729,326,278,_binary 'City Tech','Contrib',3604,'sum-diff-tangent.pg',0,0,'en',0,0),(46730,579,278,_binary 'City Tech','Contrib',3604,'sum-diff-tangent.pg',0,0,'en',0,0),(46731,326,278,_binary 'City Tech','Contrib',3604,'sum-forced.pg',0,0,'en',0,0),(46732,579,278,_binary 'City Tech','Contrib',3604,'sum-forced.pg',0,0,'en',0,0),(46733,326,278,_binary 'City Tech','Contrib',3604,'sum-diff-sine.pg',0,0,'en',0,0),(46734,579,278,_binary 'City Tech','Contrib',3604,'sum-diff-sine.pg',0,0,'en',0,0),(46735,326,278,_binary 'City Tech','Contrib',3604,'diff-forced.pg',0,0,'en',0,0),(46736,579,278,_binary 'City Tech','Contrib',3604,'diff-forced.pg',0,0,'en',0,0),(46737,326,278,_binary 'City Tech','Contrib',3604,'sum-diff-cosine.pg',0,0,'en',0,0),(46738,579,278,_binary 'City Tech','Contrib',3604,'sum-diff-cosine.pg',0,0,'en',0,0),(46739,290,278,_binary 'City Tech','Contrib',3605,'log-domains-quadratic.pg',0,0,'en',0,0),(46740,548,278,_binary 'City Tech','Contrib',3605,'log-domains-quadratic.pg',0,0,'en',0,0),(46741,290,278,_binary 'City Tech','Contrib',3605,'ln-domains-abs.pg',0,0,'en',0,0),(46742,548,278,_binary 'City Tech','Contrib',3605,'ln-domains-abs.pg',0,0,'en',0,0),(46743,290,278,_binary 'City Tech','Contrib',3605,'ln-domains.pg',0,0,'en',0,0),(46744,548,278,_binary 'City Tech','Contrib',3605,'ln-domains.pg',0,0,'en',0,0),(46745,290,278,_binary 'City Tech','Contrib',3605,'shifting-logs.pg',0,0,'en',0,0),(46746,548,278,_binary 'City Tech','Contrib',3605,'shifting-logs.pg',0,0,'en',0,0),(46747,290,278,_binary 'City Tech','Contrib',3605,'log-domains.pg',0,0,'en',0,0),(46748,548,278,_binary 'City Tech','Contrib',3605,'log-domains.pg',0,0,'en',0,0),(46749,290,278,_binary 'City Tech','Contrib',3605,'intro-graphing-logs.pg',0,0,'en',0,0),(46750,548,278,_binary 'City Tech','Contrib',3605,'intro-graphing-logs.pg',0,0,'en',0,0),(46751,290,278,_binary 'City Tech','Contrib',3605,'log10-domains.pg',0,0,'en',0,0),(46752,548,278,_binary 'City Tech','Contrib',3605,'log10-domains.pg',0,0,'en',0,0),(46753,334,278,_binary 'City Tech','Contrib',3606,'ggb-modulus.pg',0,0,'en',0,0),(46754,130,278,_binary 'City Tech','Contrib',3606,'ggb-modulus.pg',0,0,'en',0,0),(46755,587,278,_binary 'City Tech','Contrib',3606,'ggb-modulus.pg',0,0,'en',0,0),(46756,334,278,_binary 'City Tech','Contrib',3606,'intro-modulus.pg',0,0,'en',0,0),(46757,130,278,_binary 'City Tech','Contrib',3606,'intro-modulus.pg',0,0,'en',0,0),(46758,587,278,_binary 'City Tech','Contrib',3606,'intro-modulus.pg',0,0,'en',0,0),(46759,334,278,_binary 'City Tech','Contrib',3606,'ggb-modulus-given.pg',0,0,'en',0,0),(46760,130,278,_binary 'City Tech','Contrib',3606,'ggb-modulus-given.pg',0,0,'en',0,0),(46761,587,278,_binary 'City Tech','Contrib',3606,'ggb-modulus-given.pg',0,0,'en',0,0),(46762,256,278,_binary 'City Tech','Contrib',3607,'poly-ineq-quad-nonmonic.pg',0,0,'en',0,0),(46763,514,278,_binary 'City Tech','Contrib',3607,'poly-ineq-quad-nonmonic.pg',0,0,'en',0,0),(46764,256,278,_binary 'City Tech','Contrib',3607,'poly-ineq-quad-nonmonic2.pg',0,0,'en',0,0),(46765,514,278,_binary 'City Tech','Contrib',3607,'poly-ineq-quad-nonmonic2.pg',0,0,'en',0,0),(46766,256,278,_binary 'City Tech','Contrib',3607,'poly-ineq-quad.pg',0,0,'en',0,0),(46767,514,278,_binary 'City Tech','Contrib',3607,'poly-ineq-quad.pg',0,0,'en',0,0),(46768,256,278,_binary 'City Tech','Contrib',3607,'poly-ineq-cubic-factored.pg',0,0,'en',0,0),(46769,514,278,_binary 'City 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Tech','Contrib',3608,'quad-linear-xy.pg',0,0,'en',0,0),(46781,538,278,_binary 'City Tech','Contrib',3608,'quad-linear-xy.pg',0,0,'en',0,0),(46782,280,278,_binary 'City Tech','Contrib',3608,'linear-linear.pg',0,0,'en',0,0),(46783,538,278,_binary 'City Tech','Contrib',3608,'linear-linear.pg',0,0,'en',0,0),(46784,280,278,_binary 'City Tech','Contrib',3608,'quad-linear-rep-xy.pg',0,0,'en',0,0),(46785,538,278,_binary 'City Tech','Contrib',3608,'quad-linear-rep-xy.pg',0,0,'en',0,0),(46786,280,278,_binary 'City Tech','Contrib',3608,'quad-quad-xy.pg',0,0,'en',0,0),(46787,538,278,_binary 'City Tech','Contrib',3608,'quad-quad-xy.pg',0,0,'en',0,0),(46788,280,278,_binary 'City Tech','Contrib',3608,'linear-linear-xy.pg',0,0,'en',0,0),(46789,538,278,_binary 'City Tech','Contrib',3608,'linear-linear-xy.pg',0,0,'en',0,0),(46790,280,278,_binary 'City Tech','Contrib',3608,'quad-quad.pg',0,0,'en',0,0),(46791,538,278,_binary 'City Tech','Contrib',3608,'quad-quad.pg',0,0,'en',0,0),(46792,280,278,_binary 'City Tech','Contrib',3608,'quad-linear-rep.pg',0,0,'en',0,0),(46793,538,278,_binary 'City Tech','Contrib',3608,'quad-linear-rep.pg',0,0,'en',0,0),(46794,280,278,_binary 'City Tech','Contrib',3608,'quad-linear.pg',0,0,'en',0,0),(46795,538,278,_binary 'City Tech','Contrib',3608,'quad-linear.pg',0,0,'en',0,0),(46796,280,278,_binary 'City Tech','Contrib',3608,'quad-quad-rep.pg',0,0,'en',0,0),(46797,538,278,_binary 'City Tech','Contrib',3608,'quad-quad-rep.pg',0,0,'en',0,0),(46798,280,278,_binary 'City Tech','Contrib',3608,'quad-quad-rep-xy.pg',0,0,'en',0,0),(46799,538,278,_binary 'City Tech','Contrib',3608,'quad-quad-rep-xy.pg',0,0,'en',0,0),(46800,310,278,_binary 'City Tech','Contrib',3609,'ggb-amplitude-cosine.pg',0,0,'en',0,0),(46801,568,278,_binary 'City Tech','Contrib',3609,'ggb-amplitude-cosine.pg',0,0,'en',0,0),(46802,310,278,_binary 'City Tech','Contrib',3609,'ggb-amplitude-sine.pg',0,0,'en',0,0),(46803,568,278,_binary 'City Tech','Contrib',3609,'ggb-amplitude-sine.pg',0,0,'en',0,0),(46804,310,278,_binary 'City Tech','Contrib',3609,'matching-amplitudes.pg',0,0,'en',0,0),(46805,568,278,_binary 'City Tech','Contrib',3609,'matching-amplitudes.pg',0,0,'en',0,0),(46806,310,278,_binary 'City Tech','Contrib',3609,'short-answer-amplitudes.pg',0,0,'en',0,0),(46807,568,278,_binary 'City Tech','Contrib',3609,'short-answer-amplitudes.pg',0,0,'en',0,0),(46808,249,278,_binary 'City Tech','Contrib',3610,'intro-long-division.pg',0,0,'en',0,0),(46809,507,278,_binary 'City Tech','Contrib',3610,'intro-long-division.pg',0,0,'en',0,0),(46810,249,278,_binary 'City Tech','Contrib',3610,'long-division-nonmonic-linear-rem.pg',0,0,'en',0,0),(46811,507,278,_binary 'City Tech','Contrib',3610,'long-division-nonmonic-linear-rem.pg',0,0,'en',0,0),(46812,249,278,_binary 'City Tech','Contrib',3610,'long-division-monic-linear-rem.pg',0,0,'en',0,0),(46813,507,278,_binary 'City Tech','Contrib',3610,'long-division-monic-linear-rem.pg',0,0,'en',0,0),(46814,249,278,_binary 'City Tech','Contrib',3610,'long-division-neg-nonmonic-linear.pg',0,0,'en',0,0),(46815,507,278,_binary 'City Tech','Contrib',3610,'long-division-neg-nonmonic-linear.pg',0,0,'en',0,0),(46816,249,278,_binary 'City Tech','Contrib',3610,'long-division-neg-nonmonic-linear-rem.pg',0,0,'en',0,0),(46817,507,278,_binary 'City Tech','Contrib',3610,'long-division-neg-nonmonic-linear-rem.pg',0,0,'en',0,0),(46818,249,278,_binary 'City Tech','Contrib',3610,'long-division-nonmonic-linear.pg',0,0,'en',0,0),(46819,507,278,_binary 'City Tech','Contrib',3610,'long-division-nonmonic-linear.pg',0,0,'en',0,0),(46820,283,278,_binary 'City Tech','Contrib',3611,'20-06.1.06.compute-inverse-rational-dbl.pg',0,0,'en',0,0),(46821,541,278,_binary 'City Tech','Contrib',3611,'20-06.1.06.compute-inverse-rational-dbl.pg',0,0,'en',0,0),(46822,288,278,_binary 'City Tech','Contrib',3611,'23-15.1.07.diff-bases-lin-exp.pg',0,0,'en',0,0),(46823,546,278,_binary 'City Tech','Contrib',3611,'23-15.1.07.diff-bases-lin-exp.pg',0,0,'en',0,0),(46824,310,278,_binary 'City Tech','Contrib',3611,'13-18.4.08.amp-per-phase-cosine.pg',0,0,'en',0,0),(46825,568,278,_binary 'City Tech','Contrib',3611,'13-18.4.08.amp-per-phase-cosine.pg',0,0,'en',0,0),(46826,256,278,_binary 'City Tech','Contrib',3611,'01-12.1.04.poly-ineq-quad-nonmonic.pg',0,0,'en',0,0),(46827,514,278,_binary 'City Tech','Contrib',3611,'01-12.1.04.poly-ineq-quad-nonmonic.pg',0,0,'en',0,0),(46828,286,278,_binary 'CUNY City Tech','Contrib',3611,'11-14.1.04.fundamental-properties-roots.pg',0,2,'en',0,0),(46829,544,278,_binary 'CUNY City Tech','Contrib',3611,'11-14.1.04.fundamental-properties-roots.pg',0,2,'en',0,0),(46830,280,278,_binary 'City Tech','Contrib',3611,'04-11.1.02.rational-from-graph-1-over-3.pg',0,0,'en',0,0),(46831,538,278,_binary 'City Tech','Contrib',3611,'04-11.1.02.rational-from-graph-1-over-3.pg',0,0,'en',0,0),(46832,211,278,_binary 'City Tech','Contrib',3611,'05-02.1.03.diff-quot-quad-2.pg',0,0,'en',0,0),(46833,469,278,_binary 'City Tech','Contrib',3611,'05-02.1.03.diff-quot-quad-2.pg',0,0,'en',0,0),(46834,280,278,_binary 'City Tech','Contrib',3611,'03-11.1.01.rational-from-graph-2-over-2.pg',0,0,'en',0,0),(46835,538,278,_binary 'City Tech','Contrib',3611,'03-11.1.01.rational-from-graph-2-over-2.pg',0,0,'en',0,0),(46836,329,278,_binary 'CUNY City Tech','Contrib',3611,'17-20.1.07.same-quad-all-solutions-tan.pg',0,0,'en',0,0),(46837,582,278,_binary 'CUNY City Tech','Contrib',3611,'17-20.1.07.same-quad-all-solutions-tan.pg',0,0,'en',0,0),(46838,310,278,_binary 'City Tech','Contrib',3611,'14-18.4.04.amp-per-phase-sine.pg',0,0,'en',0,0),(46839,568,278,_binary 'City Tech','Contrib',3611,'14-18.4.04.amp-per-phase-sine.pg',0,0,'en',0,0),(46840,329,278,_binary 'CUNY City Tech','Contrib',3611,'15-20.1.05.same-quad-all-solutions-sin.pg',0,0,'en',0,0),(46841,582,278,_binary 'CUNY City Tech','Contrib',3611,'15-20.1.05.same-quad-all-solutions-sin.pg',0,0,'en',0,0),(46842,329,278,_binary 'CUNY City Tech','Contrib',3611,'16-20.1.06.same-quad-all-solutions-cos.pg',0,0,'en',0,0),(46843,582,278,_binary 'CUNY City Tech','Contrib',3611,'16-20.1.06.same-quad-all-solutions-cos.pg',0,0,'en',0,0),(46844,290,278,_binary 'City Tech','Contrib',3611,'12-13.2.05.ln-domains.pg',0,0,'en',0,0),(46845,548,278,_binary 'City Tech','Contrib',3611,'12-13.2.05.ln-domains.pg',0,0,'en',0,0),(46846,278,278,_binary 'City Tech','Contrib',3611,'02-12.2.02.linear-over-linear-nonmonic.pg',0,0,'en',0,0),(46847,536,278,_binary 'City Tech','Contrib',3611,'02-12.2.02.linear-over-linear-nonmonic.pg',0,0,'en',0,0),(46848,295,278,_binary 'City Tech','Contrib',3611,'21-24.4.02.finite-sums-elements.pg',0,0,'en',0,0),(46849,553,278,_binary 'City Tech','Contrib',3611,'21-24.4.02.finite-sums-elements.pg',0,0,'en',0,0),(46850,185,278,_binary 'City Tech','Contrib',3612,'interval-compound.pg',0,0,'en',0,0),(46851,185,278,_binary 'City Tech','Contrib',3612,'interval-compound-union.pg',0,0,'en',0,0),(46852,185,278,_binary 'City Tech','Contrib',3612,'interval-intro.pg',0,0,'en',0,0),(46853,185,278,_binary 'City Tech','Contrib',3612,'interval-mixed-union.pg',0,0,'en',0,0),(46854,328,1,_binary 'W.H.Freeman','Contrib',3613,'blankProblem.pg',229,3,'en',0,1),(46855,581,1,_binary 'W.H.Freeman','Contrib',3613,'blankProblem.pg',229,3,'en',0,1),(46856,658,44,_binary 'UVA','Contrib',3614,'sec_2.2_prob5.pg',0,2,'en',0,0),(46857,667,0,_binary 'UVa','Contrib',3614,'sec_6.2_prob7.pg',913,3,'en',0,0),(46858,49,3,_binary 'W.H.Freeman','Contrib',3615,'4.4.9.pg',0,4,'en',0,1),(46859,51,3,_binary 'W.H.Freeman','Contrib',3615,'4.4.47.pg',0,4,'en',0,1),(46860,48,0,_binary 'W.H.Freeman','Contrib',3616,'4.2.9.pg',12,3,'en',0,1),(46861,48,0,_binary 'W.H.Freeman','Contrib',3616,'4.2.3.pg',0,2,'en',0,0),(46862,56,0,_binary 'W.H.Freeman','Contrib',3617,'4.1.20.pg',0,4,'en',0,1),(46863,52,0,_binary 'W.H.Freeman','Contrib',3618,'4.7.12.pg',19,4,'en',0,0),(46864,48,3,_binary 'W.H.Freeman','Contrib',3619,'4.3.27.pg',0,3,'en',0,1),(46865,48,3,_binary 'W.H.Freeman','Contrib',3619,'4.3.37.pg',0,3,'en',0,1),(46866,48,0,_binary 'W.H.Freeman','Contrib',3619,'4.3.23.pg',0,2,'en',0,0),(46867,48,0,_binary 'W.H.Freeman','Contrib',3619,'4.3.30.pg',0,2,'en',0,0),(46868,65,0,_binary 'W.H.Freeman','Contrib',3620,'4.9.33.pg',22,2,'en',0,0),(46869,63,0,_binary 'W.H.Freeman','Contrib',3620,'4.9.68.pg',0,3,'en',0,1),(46870,62,5,_binary 'W.H.Freeman','Contrib',3620,'4.9.66.pg',27,3,'en',0,1),(46871,77,6,_binary 'W.H.Freeman','Contrib',3621,'7.5.1.pg',33,2,'en',0,0),(46872,73,1,_binary 'W.H.Freeman','Contrib',3622,'7.1.3.pg',38,2,'en',0,1),(46873,78,1,_binary 'W.H.Freeman','Contrib',3623,'7.3.39.pg',52,2,'en',0,1),(46874,78,1,_binary 'W.H.Freeman','Contrib',3623,'7.3.21.pg',51,3,'en',0,1),(46875,2,0,_binary 'W.H.Freeman','Contrib',3624,'2.2.5.pg',0,2,'en',0,0),(46876,93,0,_binary 'W.H.Freeman','Contrib',3625,'5.5.11.pg',81,5,'en',0,1),(46877,69,0,_binary 'W.H.Freeman','Contrib',3626,'5.4.5.pg',88,2,'en',0,1),(46878,35,0,_binary 'W.H.Freeman','Contrib',3627,'3.7.1.pg',0,2,'en',0,1),(46879,35,10,_binary 'W.H.Freeman','Contrib',3627,'3.7.11.pg',112,2,'en',0,1),(46880,35,45,_binary 'Univeristy of Utah','Contrib',3628,'3.2.53.pg',539,2,'en',0,1),(46881,23,0,_binary 'W.H.Freeman','Contrib',3628,'3.2.25.pg',123,2,'en',0,1),(46882,21,11,_binary 'W.H.Freeman','Contrib',3629,'3.1.51.pg',129,2,'en',0,1),(46883,21,0,_binary 'W.H.Freeman','Contrib',3629,'3.1.17.pg',130,2,'en',0,0),(46884,26,0,_binary 'W.H.Freeman','Contrib',3630,'3.3.23.pg',138,2,'en',0,1),(46885,24,0,_binary 'W.H.Freeman','Contrib',3630,'3.3.6.pg',139,2,'en',0,1),(46886,26,0,_binary 'W.H.Freeman','Contrib',3630,'3.3.9.pg',138,2,'en',0,0),(46887,89,0,_binary 'W.H.Freeman','Contrib',3631,'6.4.39.pg',0,4,'en',0,0),(46888,102,4,_binary 'W.H.Freeman','Contrib',3632,'10.2.1.pg',0,2,'en',0,1),(46889,294,4,_binary 'W.H.Freeman','Contrib',3633,'10.1.3.pg',304,2,'en',0,1),(46890,552,4,_binary 'W.H.Freeman','Contrib',3633,'10.1.3.pg',304,2,'en',0,1),(46891,101,4,_binary 'W.H.Freeman','Contrib',3633,'10.1.43.pg',305,2,'en',0,1),(46892,101,4,_binary 'W.H.Freeman','Contrib',3633,'10.1.51.pg',0,2,'en',0,1),(46893,114,16,_binary 'University of Minnesota','Contrib',3634,'10.7.37.pg',308,3,'en',0,1),(46894,114,10,_binary 'W.H.Freeman','Contrib',3634,'10.7.3.pg',311,3,'en',0,1),(46895,114,8,_binary 'W.H.Freeman','Contrib',3634,'10.7.29.pg',311,2,'en',0,1),(46896,108,1,_binary 'W.H.Freeman','Contrib',3635,'10.3.13.pg',0,2,'en',0,1),(46897,108,1,_binary 'W.H.Freeman','Contrib',3635,'10.3.10.pg',0,2,'en',0,1),(46898,108,1,_binary 'W.H.Freeman','Contrib',3635,'10.3.3.pg',0,2,'en',0,1),(46899,628,27,_binary 'University of British Columbia','Contrib',3636,'hw02_q1.pg',0,4,'en',0,0),(46900,628,25,_binary 'University of British Columbia','Contrib',3637,'HW06-03.pg',0,3,'en',0,1),(46901,624,0,NULL,'Contrib',3638,'hw05-q05a.pg',0,3,'en',0,0),(46902,624,29,_binary 'University of BC','Contrib',3639,'hw06-q04.pg',0,3,'en',0,1),(46903,48,44,_binary 'UVA','Contrib',3640,'4-3-37kmca.pg',0,3,'en',0,0),(46904,48,44,_binary 'UVA','Contrib',3640,'4-3-08kmc.pg',0,3,'en',0,1),(46905,89,44,_binary 'UVA','Contrib',3641,'6-3-14.pg',0,5,'en',0,0),(46906,7,44,_binary 'UCSB','Contrib',3642,'3-4-44.pg',0,3,'en',0,0),(46907,7,44,_binary 'UCSB','Contrib',3642,'3-4-37.pg',0,3,'en',0,0),(46908,48,44,_binary 'UVA','Contrib',3643,'4-1-36.pg',0,2,'en',0,0),(46909,69,44,_binary 'UVA','Contrib',3644,'5-3-34.pg',87,2,'en',0,0),(46910,69,44,_binary 'UVA','Contrib',3644,'5-3-30.pg',0,2,'en',0,0),(46911,68,44,_binary 'UVA','Contrib',3644,'5-3-40.pg',0,3,'en',0,0),(46912,56,44,_binary 'UVA','Contrib',3645,'3-11-23.pg',0,2,'en',0,0),(46913,71,44,_binary 'UVA','Contrib',3646,'5-5-14.pg',83,2,'en',0,0),(46914,72,44,_binary 'UVA','Contrib',3646,'5-5-23.pg',630,2,'en',0,0),(46915,72,44,_binary 'UVA','Contrib',3646,'5-5-29.pg',0,2,'en',0,0),(46916,71,44,_binary 'UVA','Contrib',3646,'5-5-38.pg',633,3,'en',0,0),(46917,74,44,_binary 'UVA','Contrib',3647,'7-1-05.pg',35,3,'en',0,0),(46918,180,0,_binary 'ASU','Contrib',3648,'stef16_9p1.pg',0,2,'en',0,0),(46919,17,0,_binary 'ASU','Contrib',3649,'stef2_8p1.pg',871,2,'en',0,1),(46920,84,55,_binary 'Valdosta State University','Contrib',3650,'APEX_5.4_36-38.pg',0,3,'en',0,0),(46921,71,55,_binary 'Valdosta State University','Contrib',3651,'APEX_6.1_14.pg',0,3,'en',0,1),(46922,64,55,_binary 'Valdosta State University','Contrib',3651,'APEX_6.1_36.pg',0,3,'en',0,1),(46923,71,55,_binary 'Valdosta State University','Contrib',3651,'APEX_6.1_24.pg',0,3,'en',0,1),(46924,66,49,_binary 'University of Rochester','Contrib',3652,'HGM5-05-02-Definite-integral-25a.pg',1368,2,'en',0,1),(46925,66,49,_binary 'University of Rochester','Contrib',3652,'HGM5-05-02-Definite-integral-25b.pg',1368,2,'en',0,1),(46926,107,49,_binary 'Fort Lewis College','Contrib',3653,'limit-comparison-02.pg',1460,3,'en',0,1),(46927,107,49,_binary 'Fort Lewis College','Contrib',3653,'limit-comparison-01.pg',1460,3,'en',0,1),(46928,109,49,_binary 'Fort Lewis College','Contrib',3654,'ratio-05.pg',1471,2,'en',0,1),(46929,604,0,NULL,'Contrib',3655,'l2dvectorllincomb.pg',1485,2,'en',0,0),(46930,137,0,NULL,'Contrib',3655,'l2dvectorllincomb.pg',1485,2,'en',0,0),(46931,427,0,NULL,'Contrib',3655,'l2dvectorllincomb.pg',1485,2,'en',0,0),(46932,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3656,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_208.pg',0,0,'en',0,0),(46933,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3656,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_4_210.pg',0,0,'en',0,0),(46934,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_333.pg',0,0,'en',0,0),(46935,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_350.pg',0,0,'en',0,0),(46936,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_330.pg',0,0,'en',0,0),(46937,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_340.pg',0,0,'en',0,0),(46938,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_340_a.pg',0,0,'en',0,0),(46939,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_324.pg',0,0,'en',0,0),(46940,64,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_360.pg',0,0,'en',0,0),(46941,64,243,_binary 'Community College of Denver, Colorado Community College System','Contrib',3657,'CCD_CCCS_Openstax_Calc1_C1-2016-002_5_6_322.pg',0,0,'en',0,0),(46942,52,80,_binary 'UVA, Fort Lewis College','Contrib',3658,'S04.07.Optimization.PTP04.pg',1546,5,'en',0,1),(46943,89,49,_binary 'University of Rochester','Contrib',3659,'S06.03.VolumesByShells.PTP06a.pg',1604,4,'en',0,0),(46944,89,49,_binary 'University of Rochester','Contrib',3659,'S06.03.VolumesByShells.PTP04b.pg',1603,4,'en',0,0),(46945,115,0,_binary 'Rochester','Contrib',3660,'e8_7_4.pg',1617,2,'en',0,0),(46946,210,44,_binary 'UVA','Contrib',3661,'s0_1_87_mo.pg',0,2,'en',0,0),(46947,468,44,_binary 'UVA','Contrib',3661,'s0_1_87_mo.pg',0,2,'en',0,0),(46948,210,0,_binary 'ASU','Contrib',3661,'sw4_7_31.pg',534,2,'en',0,0),(46949,468,0,_binary 'ASU','Contrib',3661,'sw4_7_31.pg',534,2,'en',0,0),(46950,105,45,_binary 'OSU','Contrib',3662,'ns8_2_23.pg',1678,3,'en',0,0),(46951,61,45,_binary 'Univeristy of Utah','Contrib',3663,'sc5_2_24_mo.pg',483,2,'en',0,1),(46952,66,49,_binary 'University of Rochester','Contrib',3663,'S05.01.AreaDistance.PTP02.pg',1368,2,'en',0,1),(46953,61,45,_binary 'Univeristy of Utah','Contrib',3663,'sc5_2_28_mo.pg',483,2,'en',0,1),(46954,105,0,NULL,'Contrib',3664,'ur_sr_3_7.pg',1678,2,'en',0,0),(46955,294,0,_binary 'ASU','Contrib',3665,'ns8_1_5.pg',307,2,'en',0,0),(46956,552,0,_binary 'ASU','Contrib',3665,'ns8_1_5.pg',307,2,'en',0,0),(46957,108,49,_binary 'OSU','Contrib',3666,'eva8_3_2.pg',0,2,'en',0,0),(46958,103,0,_binary 'Rochester','Contrib',3667,'ns8_2_25.pg',0,2,'en',0,0),(46959,71,0,_binary 'Rochester','Contrib',3668,'ur_in_25_11.pg',990,2,'en',0,1),(46960,180,0,NULL,'Contrib',3669,'ur_vc_13_8.pg',1423,2,'en',0,0),(46961,180,0,NULL,'Contrib',3669,'ur_vc_13_7.pg',0,2,'en',0,0),(46962,93,49,_binary 'University of Rochester','Contrib',3670,'S05.04.NetChangeTheorem.PTP01a.pg',0,2,'en',0,1),(46963,67,47,_binary 'OSU','Contrib',3671,'osu_in_3_6.pg',1892,3,'en',0,0),(46964,67,45,_binary 'Univeristy of Utah','Contrib',3671,'s4_4_21.pg',1894,2,'en',0,0),(46965,101,45,_binary 'OSU','Contrib',3672,'ur_sq_2_11.pg',1513,2,'en',0,0),(46966,101,0,_binary 'Rochester','Contrib',3672,'ur_sq_2_17.pg',1514,2,'en',0,0),(46967,61,103,_binary 'Adelphi University','Contrib',3673,'preview_5_6_abcdef.pg',0,5,'en',0,1),(46968,21,0,_binary 'OSU','Contrib',3674,'prob8.pg',0,3,'en',0,1),(46969,122,47,_binary 'Rochester','Contrib',3675,'prob1.pg',0,2,'en',0,0),(46970,28,0,_binary 'OSU','Contrib',3676,'prob3.pg',0,2,'en',0,1),(46971,78,0,_binary 'Rochester','Contrib',3677,'prob12.pg',1904,2,'en',0,0),(46972,604,65,_binary 'University of Michigan','Contrib',3678,'Q33Spacevectors.pg',189,2,'en',0,1),(46973,137,65,_binary 'University of Michigan','Contrib',3678,'Q33Spacevectors.pg',189,2,'en',0,1),(46974,427,65,_binary 'University of Michigan','Contrib',3678,'Q33Spacevectors.pg',189,2,'en',0,1),(46975,604,65,_binary 'University of Michigan','Contrib',3678,'Q33Plane2.pg',189,2,'en',0,1),(46976,137,65,_binary 'University of Michigan','Contrib',3678,'Q33Plane2.pg',189,2,'en',0,1),(46977,427,65,_binary 'University of Michigan','Contrib',3678,'Q33Plane2.pg',189,2,'en',0,1),(46978,108,65,_binary 'University of Michigan','Contrib',3679,'Q03.pg',2127,2,'en',0,0),(46979,77,65,_binary 'UCSB','Contrib',3680,'Q33.pg',34,2,'en',1,1),(46980,294,65,_binary 'University of Michigan','Contrib',3681,'Q17.pg',0,2,'en',0,0),(46981,552,65,_binary 'University of Michigan','Contrib',3681,'Q17.pg',0,2,'en',0,0),(46982,73,65,_binary 'University of Michigan','Contrib',3682,'Q07.pg',38,3,'en',0,1),(46983,71,65,_binary 'University of Michigan','Contrib',3683,'Q83.pg',0,2,'en',0,1),(46984,64,65,_binary 'University of Michigan','Contrib',3683,'Q37.pg',623,3,'en',0,1),(46985,207,17,_binary 'University of Missouri-Columbia','Contrib',3684,'inc_dec_const_dom_range_02.pg',2400,3,'en',0,0),(46986,465,17,_binary 'University of Missouri-Columbia','Contrib',3684,'inc_dec_const_dom_range_02.pg',2400,3,'en',0,0),(46987,56,44,_binary 'UVA','Contrib',3685,'s3_11_9.pg',581,3,'en',0,0),(46988,71,0,NULL,'Contrib',3686,'s5_5_77.pg',0,3,'en',0,0),(46989,72,0,NULL,'Contrib',3686,'s5_5_59.pg',1955,2,'en',0,0),(46990,69,0,NULL,'Contrib',3687,'s5_3_15.pg',1973,3,'en',0,0),(46991,68,0,NULL,'Contrib',3687,'s5_3_32.pg',0,2,'en',0,0),(46992,64,0,_binary 'UCSB','Contrib',3688,'Stewart5_7_5_65.pg',0,3,'en',0,0),(46993,74,0,_binary 'UCSB','Contrib',3689,'Stewart5_7_1_16.pg',2485,3,'en',0,0),(46994,73,0,_binary 'UCSB','Contrib',3689,'Stewart5_7_1_23.pg',0,3,'en',0,0),(46995,75,0,_binary 'UCSB','Contrib',3689,'Stewart5_7_1_42.pg',2484,2,'en',1,0),(46996,29,0,_binary 'UCSB','Contrib',3690,'Stewart5_3_1_2.pg',0,2,'en',1,0),(46997,29,0,_binary 'UCSB','Contrib',3690,'Stewart5_3_1_39.pg',644,2,'en',0,0),(46998,70,0,_binary 'UCSB','Contrib',3691,'Stewart5_7_8_24.pg',765,3,'en',0,0),(46999,70,0,_binary 'UCSB','Contrib',3691,'Stewart5_7_8_59.pg',0,3,'en',1,0),(47000,70,0,_binary 'UCSB','Contrib',3691,'Stewart5_7_8_57.pg',0,3,'en',1,0),(47001,83,0,_binary 'UCSB','Contrib',3692,'Stewart5_5_1_6.pg',91,2,'en',1,0),(47002,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_6a.pg',33,3,'en',0,0),(47003,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_4b.pg',33,3,'en',0,0),(47004,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_5a.pg',33,2,'en',0,0),(47005,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_60.pg',2529,2,'en',0,0),(47006,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_41.pg',2526,2,'en',0,0),(47007,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_2b.pg',33,2,'en',0,0),(47008,77,0,_binary 'UCSB','Contrib',3693,'Stewart5_7_4_1b.pg',33,2,'en',0,0),(47009,68,0,_binary 'UCSB','Contrib',3694,'Stewart5_5_4_31.pg',619,2,'en',0,0),(47010,67,0,_binary 'UCSB','Contrib',3694,'Stewart5_5_4_38.pg',0,3,'en',0,0),(47011,72,0,_binary 'UCSB','Contrib',3695,'Stewart5_5_5_33.pg',634,2,'en',0,0),(47012,71,0,_binary 'UCSB','Contrib',3695,'Stewart5_5_5_14.pg',83,2,'en',0,0),(47013,72,0,_binary 'UCSB','Contrib',3695,'Stewart5_5_5_59.pg',1955,2,'en',0,0),(47014,71,0,_binary 'UCSB','Contrib',3695,'Stewart5_5_5_49.pg',742,2,'en',0,1),(47015,71,0,_binary 'UCSB','Contrib',3695,'Stewart5_5_5_31.pg',83,2,'en',0,0),(47016,75,0,_binary 'UCSB','Contrib',3696,'Stewart5_7_2_45.pg',0,3,'en',0,0),(47017,72,0,_binary 'UCSB','Contrib',3696,'Stewart5_7_2_21.pg',2317,2,'en',0,0),(47018,69,0,_binary 'UCSB','Contrib',3697,'Stewart5_5_3_27.pg',0,2,'en',0,0),(47019,69,0,_binary 'UCSB','Contrib',3697,'Stewart5_5_3_8.pg',89,2,'en',0,0),(47020,69,0,_binary 'UCSB','Contrib',3697,'Stewart5_5_3_26.pg',0,2,'en',0,0),(47021,26,0,_binary 'UCSB','Contrib',3698,'Stewart5_3_2_44.pg',0,3,'en',0,1),(47022,105,45,_binary 'Univeristy of Utah','Contrib',3699,'set7_pr16.pg',2640,2,'en',0,0),(47023,75,45,_binary 'Univeristy of Utah','Contrib',3700,'set4_pr2.pg',44,2,'en',1,0),(47024,310,45,_binary 'Univeristy of Utah','Contrib',3701,'s6p3.pg',0,3,'en',1,0),(47025,568,45,_binary 'Univeristy of Utah','Contrib',3701,'s6p3.pg',0,3,'en',1,0),(47026,89,45,_binary 'Univeristy of Utah','Contrib',3702,'p12-2.pg',0,4,'en',1,0),(47027,295,45,_binary 'Univeristy of Utah','Contrib',3703,'q1.pg',0,2,'en',1,0),(47028,553,45,_binary 'Univeristy of Utah','Contrib',3703,'q1.pg',0,2,'en',1,0),(47029,73,45,_binary 'Univeristy of Utah','Contrib',3704,'1220s13p2.pg',38,2,'en',1,0),(47030,72,45,_binary 'Univeristy of Utah','Contrib',3704,'1220s11p2.pg',0,2,'en',1,0),(47031,72,45,_binary 'Univeristy of Utah','Contrib',3704,'1220s10p5.pg',0,3,'en',1,0),(47032,208,45,_binary 'Univeristy of Utah','Contrib',3705,'p09.pg',2714,1,'en',1,0),(47033,466,45,_binary 'Univeristy of Utah','Contrib',3705,'p09.pg',2714,1,'en',1,0),(47034,210,45,_binary 'Univeristy of Utah','Contrib',3706,'1050s5p20.pg',2719,2,'en',1,0),(47035,468,45,_binary 'Univeristy of Utah','Contrib',3706,'1050s5p20.pg',2719,2,'en',1,0),(47036,61,16,_binary 'University of Minnesota','Contrib',3707,'s_5_2_42.pg',1684,2,'en',0,1),(47037,69,16,_binary 'University of Minnesota','Contrib',3707,'s_5_4_10.pg',89,2,'en',0,1),(47038,109,16,_binary 'University of Minnesota','Contrib',3707,'s_11_6_28.pg',2856,2,'en',0,1),(47039,116,16,_binary 'University of Minnesota','Contrib',3707,'s_11_10_58.pg',2149,3,'en',0,1),(47040,72,16,_binary 'University of Minnesota','Contrib',3707,'s_5_5_44.pg',0,2,'en',0,1),(47041,114,16,_binary 'University of Minnesota','Contrib',3707,'s_11_8_3.pg',2858,3,'en',0,1),(47042,77,16,_binary 'University of Minnesota','Contrib',3707,'s_5_0_prob04.pg',34,2,'en',0,1),(47043,105,16,_binary 'University of Minnesota','Contrib',3707,'s_11_2_18.pg',1677,2,'en',0,1),(47044,89,16,_binary 'University of Minnesota','Contrib',3707,'s_6_3_6.pg',0,4,'en',0,1),(47045,75,16,_binary 'University of Minnesota','Contrib',3707,'s_5_0_prob01.pg',39,3,'en',0,1),(47046,294,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_5.pg',304,2,'en',0,1),(47047,552,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_5.pg',304,2,'en',0,1),(47048,101,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_prob01.pg',1556,2,'en',0,1),(47049,101,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_21.pg',305,2,'en',0,1),(47050,107,16,_binary 'University of Minnesota','Contrib',3707,'s_11_4_prob03.pg',1927,3,'en',0,1),(47051,101,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_25.pg',0,2,'en',0,1),(47052,105,16,_binary 'University of Minnesota','Contrib',3707,'s_11_2_36.pg',1676,4,'en',0,1),(47053,114,16,_binary 'University of Minnesota','Contrib',3707,'s_11_10_14.pg',2165,2,'en',0,1),(47054,294,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_12.pg',307,2,'en',0,1),(47055,552,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_12.pg',307,2,'en',0,1),(47056,105,16,_binary 'University of Minnesota','Contrib',3707,'s_11_2_44.pg',2147,3,'en',0,1),(47057,114,16,_binary 'University of Minnesota','Contrib',3707,'s_11_8_18.pg',0,3,'en',0,1),(47058,105,16,_binary 'Dartmouth','Contrib',3707,'s_11_2_41.pg',2147,2,'en',0,1),(47059,101,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_prob03.pg',1556,2,'en',0,1),(47060,7,16,_binary 'University of Minnesota','Contrib',3707,'s_13_3_prob02.pg',0,3,'en',0,1),(47061,105,16,_binary 'University of Minnesota','Contrib',3707,'s_11_2_6.pg',2640,2,'en',0,1),(47062,101,16,_binary 'University of Minnesota','Contrib',3707,'s_11_1_32.pg',1912,2,'en',0,1),(47063,102,16,_binary 'University of Minnesota','Contrib',3707,'s_11_5_prob01.pg',0,2,'en',0,1),(47064,72,16,_binary 'University of Minnesota','Contrib',3707,'s_5_5_16.pg',0,2,'en',0,1),(47065,109,16,_binary 'University of Minnesota','Contrib',3707,'s_11_6_15.pg',2856,2,'en',0,1),(47066,77,16,_binary 'Rochester','Contrib',3708,'s_7_4_prob03.pg',2135,3,'en',0,1),(47067,75,16,_binary 'University of Minnesota','Contrib',3708,'s_7_2_23.pg',762,3,'en',0,1),(47068,75,16,_binary 'University of Minnesota','Contrib',3708,'s_7_2_10.pg',45,3,'en',0,1),(47069,81,16,_binary 'ASU','Contrib',3708,'s_7_1_prob05.pg',0,3,'en',0,1),(47070,75,16,_binary 'University of Minnesota','Contrib',3708,'s_7_2_2.pg',44,3,'en',0,1),(47071,607,16,_binary 'Colby College','Contrib',3708,'s_12_5_prob04.pg',0,3,'en',0,1),(47072,139,16,_binary 'Colby College','Contrib',3708,'s_12_5_prob04.pg',0,3,'en',0,1),(47073,430,16,_binary 'Colby College','Contrib',3708,'s_12_5_prob04.pg',0,3,'en',0,1),(47074,78,16,_binary 'University of Minnesota','Contrib',3708,'s_7_3_prob03.pg',51,3,'en',0,1),(47075,77,16,_binary 'University of Minnesota','Contrib',3708,'s_7_4_47.pg',1776,3,'en',0,1),(47076,72,16,_binary 'University of Minnesota','Contrib',3708,'s_7_2_prob05.pg',0,2,'en',0,1),(47077,78,16,_binary 'University of Minnesota','Contrib',3708,'s_7_3_prob02.pg',54,2,'en',0,1),(47078,78,16,_binary 'University of Minnesota','Contrib',3708,'s_7_3_6.pg',53,3,'en',0,1),(47079,81,16,_binary 'University of Minnesota','Contrib',3708,'s_7_1_29.pg',0,3,'en',0,1),(47080,75,16,_binary 'University of Minnesota','Contrib',3708,'s_7_2_33.pg',758,3,'en',0,1),(47081,70,46,_binary 'ASU','Contrib',3708,'s_7_8_22.pg',28,3,'en',0,1),(47082,73,16,_binary 'University of Minnesota','Contrib',3708,'s_7_1_prob07.pg',0,3,'en',0,1),(47083,70,16,_binary 'University of Minnesota','Contrib',3708,'s_7_8_10.pg',28,2,'en',0,1),(47084,70,16,_binary 'University of Minnesota','Contrib',3708,'s_7_8_6.pg',31,3,'en',0,1),(47085,78,46,_binary 'rochester','Contrib',3708,'s_7_3_9.pg',54,2,'en',0,1),(47086,78,16,_binary 'University of Minnesota','Contrib',3708,'s_7_3_prob01.pg',52,3,'en',0,1),(47087,73,16,_binary 'ASU','Contrib',3708,'s_7_1_4.pg',36,3,'en',0,1),(47088,77,16,_binary 'University of Minnesota','Contrib',3708,'s_7_4_prob01.pg',1771,2,'en',0,1),(47089,75,16,_binary 'ASU','Contrib',3708,'s_7_2_prob04.pg',1831,3,'en',0,1),(47090,78,16,_binary 'University of Minnesota','Contrib',3708,'s_7_3_7.pg',51,3,'en',0,1),(47091,73,16,_binary 'University of Minnesota','Contrib',3708,'s_7_1_prob01.pg',37,3,'en',0,1),(47092,75,0,NULL,'Contrib',3709,'s7_2_1.pg',39,3,'en',1,0),(47093,74,44,_binary 'UVA','Contrib',3709,'s7_1_11.pg',2485,3,'en',0,1),(47094,114,0,NULL,'Contrib',3710,'s11_8_5.pg',2636,3,'en',0,0),(47095,114,0,NULL,'Contrib',3710,'s11_8_19.pg',315,3,'en',0,1),(47096,113,0,NULL,'Contrib',3711,'s11_5_13.pg',320,3,'en',0,0),(47097,111,0,NULL,'Contrib',3711,'s11_5_5.pg',0,2,'en',1,0),(47098,105,0,NULL,'Contrib',3712,'s11_2_43.pg',2147,2,'en',0,0),(47099,101,0,_binary 'Rochester','Contrib',3712,'s11_1_24.pg',1514,2,'en',0,0),(47100,72,0,_binary 'ASU','Contrib',3713,'c4s5p4.pg',2480,2,'en',0,0),(47101,67,0,_binary 'Indiana','Contrib',3714,'c4s4p5.pg',3108,2,'en',0,0),(47102,67,45,_binary 'Univeristy of Utah','Contrib',3714,'s4_4_27.pg',3109,3,'en',0,0),(47103,68,45,_binary 'Univeristy of Utah','Contrib',3714,'sc5_3_17.pg',0,2,'en',0,0),(47104,108,45,_binary 'Univeristy of Utah','Contrib',3715,'ur_sr_5_11.pg',0,2,'en',0,0),(47105,108,1,_binary 'W.H.Freeman','Contrib',3715,'eva8_3_1.pg',0,2,'en',0,0),(47106,114,0,_binary 'Indiana','Contrib',3716,'eva8_5b.pg',2639,3,'en',0,0),(47107,318,156,_binary 'NAU','Contrib',3717,'triangle.pg',0,2,'en',0,0),(47108,576,156,_binary 'NAU','Contrib',3717,'triangle.pg',0,2,'en',0,0),(47109,318,154,_binary 'NAU','Contrib',3717,'triangle2.pg',0,3,'en',0,0),(47110,576,154,_binary 'NAU','Contrib',3717,'triangle2.pg',0,3,'en',0,0),(47111,57,154,_binary 'NAU','Contrib',3718,'growingBall.pg',137,2,'en',0,0),(47112,624,0,_binary 'UVA','Contrib',3719,'stat212-HW05-16.pg',0,2,'en',0,0),(47113,633,0,_binary 'UVA','Contrib',3720,'stat212-HW06-01.pg',0,2,'en',0,0),(47114,85,16,_binary 'University of Minnesota','Contrib',3721,'osu_in_19_15.pg',1751,4,'en',0,1),(47115,295,7,_binary 'Union','Contrib',3722,'an6_4_07.pg',0,2,'en',0,1),(47116,553,7,_binary 'Union','Contrib',3722,'an6_4_07.pg',0,2,'en',0,1),(47117,294,7,_binary 'Union','Contrib',3722,'an6_4_02and03.pg',1715,2,'en',0,1),(47118,552,7,_binary 'Union','Contrib',3722,'an6_4_02and03.pg',1715,2,'en',0,1),(47119,75,7,_binary 'ASU','Contrib',3723,'an8_3_09.pg',762,3,'en',0,1),(47120,72,7,_binary 'Union','Contrib',3723,'an8_3_01.pg',0,2,'en',0,1),(47121,158,0,_binary 'Union College','Contrib',3724,'levels-5b.pg',3181,4,'en',0,0),(47122,158,0,_binary 'Union College','Contrib',3724,'levels-5c.pg',3181,4,'en',0,0),(47123,73,16,_binary 'University of Minnesota','Contrib',3725,'sc5_6_16.pg',636,2,'en',0,1),(47124,73,44,_binary 'UVA','Contrib',3725,'sc5_6_07.pg',37,3,'en',0,1),(47125,606,0,_binary 'Union College','Contrib',3726,'an12_6_11.pg',0,3,'en',0,1),(47126,139,0,_binary 'Union College','Contrib',3726,'an12_6_11.pg',0,3,'en',0,1),(47127,429,0,_binary 'Union College','Contrib',3726,'an12_6_11.pg',0,3,'en',0,1),(47128,315,7,_binary 'Union','Contrib',3727,'ur_tr_1_6d.pg',1031,2,'en',0,1),(47129,573,7,_binary 'Union','Contrib',3727,'ur_tr_1_6d.pg',1031,2,'en',0,1),(47130,21,0,_binary 'Rochester','Contrib',3728,'osu_dr_1_12new_mo.pg',2241,2,'en',0,1),(47131,14,0,NULL,'Contrib',3729,'ur_lr_3_18(2).pg',0,3,'en',0,0),(47132,14,0,NULL,'Contrib',3729,'ur_lr_3_18.pg',0,3,'en',0,0),(47133,108,49,_binary 'Rochester','Contrib',3730,'ur_sr_5_12.pg',2864,2,'en',0,1),(47134,35,45,_binary 'Univeristy of Utah','Contrib',3731,'ur_dr_2_12.pg',539,2,'en',0,1),(47135,72,0,_binary 'ASU','Contrib',3732,'sc5_5_6.pg',1951,2,'en',0,0),(47136,65,279,_binary 'Monroe Community College','Contrib',3733,'arctanCompleteSq1.pg',0,0,'en',0,0),(47137,65,279,_binary 'Monroe Community College','Contrib',3733,'arctanLongDivision1.pg',0,0,'en',0,0),(47138,299,0,NULL,'Contrib',3734,'05.pg',0,0,'en',0,0),(47139,557,0,NULL,'Contrib',3734,'05.pg',0,0,'en',0,0),(47140,35,45,_binary 'Univeristy of Utah','Contrib',3735,'larson_47_p6d.pg',539,2,'en',0,1),(47141,35,45,_binary 'Univeristy of Utah','Contrib',3735,'larson_47_p7.pg',539,2,'en',0,1),(47142,1493,49,_binary 'Fort Lewis College','Contrib',3735,'larson_47_p9.pg',0,0,'en',0,1),(47143,46,0,_binary 'Union College','Contrib',3735,'BMCC.pg',806,2,'en',0,1),(47144,52,0,_binary 'Rochester','Contrib',3736,'c3s8p1_mo.pg',359,4,'en',0,1),(47145,48,65,_binary 'University of Michigan','Contrib',3737,'Q11.pg',2111,3,'en',0,0),(47146,56,16,_binary 'UCSB','Contrib',3738,'s_3_9_17.pg',2441,4,'en',0,1),(47147,11,0,_binary 'W.H.Freeman','Contrib',3739,'continuity.pg',0,3,'en',0,0),(47148,52,0,_binary 'W.H.Freeman','Contrib',3740,'4.7.7.pg',15,5,'en',0,0),(47149,50,0,_binary 'Rochester','Contrib',3740,'k7.pg',2067,3,'en',0,1),(47150,52,0,_binary 'ASU','Contrib',3740,'4-5-47.pg',17,5,'en',0,1),(47151,52,16,_binary 'University of Minnesota','Contrib',3740,'s05_08.pg',0,5,'en',0,1),(47152,50,0,_binary 'Rochester','Contrib',3740,'k3.pg',0,4,'en',0,1),(47153,52,47,_binary 'OSU','Contrib',3740,'s04_07.pg',1545,5,'en',0,1),(47154,52,45,_binary 'UCSB','Contrib',3740,'s3_8_6.pg',670,5,'en',0,1),(47155,52,44,_binary 'ASU','Contrib',3740,'4-5-45.pg',16,5,'en',0,1),(47156,66,49,_binary 'University of Rochester','Contrib',3741,'HGM5-05-02-Definite-integral-25a.pg',1368,2,'en',0,1),(47157,52,44,_binary 'ASU','Contrib',3742,'Stewart_4_7.pg',16,5,'en',0,1),(47158,57,55,_binary 'Valdosta State University','Contrib',3742,'Hartman_4_2_8.pg',0,3,'en',0,1),(47159,57,0,_binary 'Union College','Contrib',3743,'8.pg',1747,3,'en',0,1),(47160,56,0,_binary 'UCSB','Contrib',3744,'Stewart5_3_11_41.pg',579,4,'en',1,0),(47161,48,7,_binary 'Union College','Contrib',3745,'4-2-37.pg',0,2,'en',0,1),(47162,48,7,_binary 'Union College','Contrib',3745,'4-2-31.pg',0,2,'en',0,1),(47163,48,7,_binary 'Union College','Contrib',3745,'4-2-27.pg',0,2,'en',0,1),(47164,48,7,_binary 'Union College','Contrib',3745,'4-2-29.pg',0,2,'en',0,1),(47165,64,65,_binary 'University of Michigan','Contrib',3746,'Q37.pg',623,3,'en',0,1),(47166,5,0,_binary 'ASU','Contrib',3747,'3-2-57.pg',986,2,'en',0,1),(47167,56,0,NULL,'Contrib',3748,'s2_9_22.pg',578,3,'en',0,0),(47168,57,44,_binary 'UVA','Contrib',3749,'SRM_s2_8_12.pg',1742,5,'en',0,1),(47169,57,44,_binary 'OSU','Contrib',3749,'c32s8p5.pg',2231,5,'en',0,1),(47170,35,45,_binary 'Univeristy of Utah','Contrib',3749,'an3_7_4.pg',539,2,'en',0,1),(47171,57,0,_binary 'Union College','Contrib',3749,'an3_7_14.pg',689,4,'en',0,1),(47172,35,45,_binary 'Univeristy of Utah','Contrib',3750,'Q31.pg',539,2,'en',0,1),(47173,24,0,_binary 'ASU','Contrib',3751,'3-5-33.pg',0,2,'en',0,1),(47174,106,0,NULL,'Contrib',3752,'p601-19.pg',1515,2,'en',0,0),(47175,48,121,_binary 'Hopkins School','Contrib',3753,'LabelingPointsCustom.pg',0,0,'en',0,1),(47176,299,0,NULL,'Contrib',3754,'05.pg',0,0,'en',0,0),(47177,557,0,NULL,'Contrib',3754,'05.pg',0,0,'en',0,0),(47178,219,280,_binary 'University of Rochester','Contrib',3755,'M8_Q1.pg',0,0,'en',0,0),(47179,477,280,_binary 'University of Rochester','Contrib',3755,'M8_Q1.pg',0,0,'en',0,0),(47180,219,280,_binary 'University of Rochester','Contrib',3755,'M8_Q3.pg',0,0,'en',0,0),(47181,477,280,_binary 'University of Rochester','Contrib',3755,'M8_Q3.pg',0,0,'en',0,0),(47182,219,280,_binary 'University of Rochester','Contrib',3755,'M8_Q2.pg',0,0,'en',0,0),(47183,477,280,_binary 'University of Rochester','Contrib',3755,'M8_Q2.pg',0,0,'en',0,0),(47184,215,280,NULL,'Contrib',3755,'M8_Q6.pg',0,0,'en',0,0),(47185,473,280,NULL,'Contrib',3755,'M8_Q6.pg',0,0,'en',0,0),(47186,1327,101,_binary 'Montana State University\', \'Stonehill College','Contrib',3756,'M7_Q17.pg',0,5,'en',1,0),(47187,40,280,_binary 'University of Rochester','Contrib',3757,'M3_Q3.pg',0,0,'en',0,0),(47188,28,280,_binary 'University of Rochester','Contrib',3757,'M3_Q2.pg',0,0,'en',0,0),(47189,23,280,_binary 'University of Rochester','Contrib',3757,'M3_Q1.pg',0,0,'en',0,0),(47190,65,280,_binary 'University of Rochester','Contrib',3758,'M6_Q5.pg',0,0,'en',0,0),(47191,68,280,_binary 'University of Rochester','Contrib',3758,'M6_Q8.pg',0,0,'en',0,0),(47192,68,280,_binary 'University of Rochester','Contrib',3758,'M6_Q10.pg',0,0,'en',0,0),(47193,61,280,_binary 'University of Rochester','Contrib',3758,'M6_Q13.pg',0,0,'en',0,0),(47194,85,280,_binary 'University of Rochester','Contrib',3758,'M6_Q15.pg',0,0,'en',0,0),(47195,68,280,_binary 'University of Rochester','Contrib',3758,'M6_Q9.pg',0,0,'en',0,0),(47196,64,280,_binary 'University of Rochester','Contrib',3758,'M6_Q2.pg',0,0,'en',0,0),(47197,64,280,_binary 'University of Rochester','Contrib',3758,'M6_Q1.pg',0,0,'en',0,0),(47198,67,280,_binary 'University of Rochester','Contrib',3758,'M6_Q7.pg',0,0,'en',0,0),(47199,74,280,_binary 'University of Rochester','Contrib',3758,'M6_Q6.pg',0,0,'en',0,0),(47200,65,280,_binary 'University of Rochester','Contrib',3758,'M6_Q4.pg',0,0,'en',0,0),(47201,85,280,_binary 'University of Rochester','Contrib',3758,'M6_Q12.pg',0,0,'en',0,0),(47202,64,280,_binary 'University of Rochester','Contrib',3758,'M6_Q3.pg',0,0,'en',0,0),(47203,61,55,_binary 'Valdosta State University','Contrib',3758,'M6_Q11.pg',0,3,'en',0,0),(47204,1532,280,_binary 'University of Rochester','Contrib',3759,'M1_Q0.pg',0,0,'en',0,0),(47205,1371,280,_binary 'University of Rochester','Contrib',3759,'M1_Q2.pg',0,0,'en',0,0),(47206,1439,280,_binary 'University of Rochester','Contrib',3759,'M1_Q2.pg',0,0,'en',0,0),(47207,1371,280,_binary 'University of Rochester','Contrib',3759,'M1_Q3.pg',0,0,'en',0,0),(47208,1439,280,_binary 'University of Rochester','Contrib',3759,'M1_Q3.pg',0,0,'en',0,0),(47209,1372,280,_binary 'University of Rochester','Contrib',3759,'M1_Q5.pg',0,0,'en',0,0),(47210,1440,280,_binary 'University of Rochester','Contrib',3759,'M1_Q5.pg',0,0,'en',0,0),(47211,1371,280,_binary 'University of Rochester','Contrib',3759,'M1_Q4.pg',0,0,'en',0,0),(47212,1439,280,_binary 'University of 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University','Contrib',2525,'2-6-VectorBetweenFormulaPoints2D.pg',0,0,'en',0,0),(47538,137,142,_binary 'Bentley University','Contrib',2525,'2-6-VectorBetweenFormulaPoints2D.pg',0,0,'en',0,0),(47539,427,142,_binary 'Bentley University','Contrib',2525,'2-6-VectorBetweenFormulaPoints2D.pg',0,0,'en',0,0),(47540,604,142,_binary 'Bentley University','Contrib',2525,'2-11-VectorAnimationIn2D.pg',0,0,'en',0,0),(47541,137,142,_binary 'Bentley University','Contrib',2525,'2-11-VectorAnimationIn2D.pg',0,0,'en',0,0),(47542,427,142,_binary 'Bentley University','Contrib',2525,'2-11-VectorAnimationIn2D.pg',0,0,'en',0,0),(47543,604,142,_binary 'Bentley University','Contrib',2525,'2-8-MagnitudeAndDirectionDecimals2D.pg',0,0,'en',0,0),(47544,137,142,_binary 'Bentley University','Contrib',2525,'2-8-MagnitudeAndDirectionDecimals2D.pg',0,0,'en',0,0),(47545,427,142,_binary 'Bentley University','Contrib',2525,'2-8-MagnitudeAndDirectionDecimals2D.pg',0,0,'en',0,0),(47546,40,16,_binary 'Colby College','Contrib',2545,'t_2_4_prob01.pg',0,2,'en',0,0),(47547,40,16,_binary 'Colby College','Contrib',2545,'t_2_4_prob02.pg',0,4,'en',0,0),(47548,39,16,_binary 'Colby College','Contrib',2545,'t_2_3_11.pg',0,3,'en',0,0),(47549,22,16,_binary 'Colby College','Contrib',2545,'t_2_1_prob03.pg',0,2,'en',0,0),(47550,40,16,_binary 'Colby College','Contrib',2545,'t_2_4_prob03.pg',0,4,'en',0,0),(47551,40,16,_binary 'Colby College','Contrib',2545,'t_2_4_27.pg',0,2,'en',0,0),(47552,40,16,_binary 'Colby College','Contrib',2545,'t_2_4_22.pg',0,2,'en',0,0),(47553,22,16,_binary 'Colby College','Contrib',2545,'t_2_1_prob01.pg',0,3,'en',0,0),(47554,1546,147,_binary 'PCC','Contrib',2557,'radicalFunctionGraph10.pg',0,0,'en',0,0),(47555,1449,143,_binary 'PCC','Contrib',2558,'FactorInteger10.pg',0,0,'en',0,0),(47556,1449,143,_binary 'PCC','Contrib',2558,'FactorInteger20.pg',0,0,'en',0,0),(47557,1449,143,_binary 'PCC','Contrib',2558,'FactorInteger40.pg',0,0,'en',0,0),(47558,1449,143,_binary 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'PCC','Contrib',3770,'eForm1.pg',0,0,'en',0,0),(47582,1546,147,_binary 'PCC','Contrib',3770,'HalvingTime2.pg',0,0,'en',0,0),(47583,1546,147,_binary 'PCC','Contrib',3770,'GrowthRates3.pg',0,0,'en',0,0),(47584,1546,147,_binary 'PCC','Contrib',3770,'GrowthRates1.pg',0,0,'en',0,0),(47585,1546,147,_binary 'PCC','Contrib',3770,'bForm2.pg',0,0,'en',0,0),(47586,1546,147,_binary 'PCC','Contrib',3770,'GrowthRates2.pg',0,0,'en',0,0),(47587,1546,147,_binary 'PCC','Contrib',3770,'Solve.pg',0,0,'en',0,0),(47588,1546,147,_binary 'PCC','Contrib',3770,'HalvingTime.pg',0,0,'en',0,0),(47589,1546,147,_binary 'PCC','Contrib',3770,'ContinuousDoublingTime.pg',0,0,'en',0,0),(47590,1546,147,_binary 'PCC','Contrib',3770,'bForm3.pg',0,0,'en',0,0),(47591,1546,147,_binary 'PCC','Contrib',3770,'bForm1.pg',0,0,'en',0,0),(47592,283,0,NULL,'Contrib',3771,'InversesOfFunctions70.pg',783,2,'en',0,0),(47593,541,0,NULL,'Contrib',3771,'InversesOfFunctions70.pg',783,2,'en',0,0),(47594,283,0,_binary 'Union College','Contrib',3771,'InversesOfFunctions40.pg',516,3,'en',0,0),(47595,541,0,_binary 'Union College','Contrib',3771,'InversesOfFunctions40.pg',516,3,'en',0,0),(47596,282,0,NULL,'Contrib',3771,'InversesOfFunctions10.pg',0,2,'en',0,0),(47597,540,0,NULL,'Contrib',3771,'InversesOfFunctions10.pg',0,2,'en',0,0),(47598,283,0,_binary 'Rochester','Contrib',3771,'InversesOfFunctions90.pg',783,2,'en',0,0),(47599,541,0,_binary 'Rochester','Contrib',3771,'InversesOfFunctions90.pg',783,2,'en',0,0),(47600,282,16,_binary 'ASU','Contrib',3771,'OneToOne10.pg',0,3,'en',0,0),(47601,540,16,_binary 'ASU','Contrib',3771,'OneToOne10.pg',0,3,'en',0,0),(47602,279,45,_binary 'Univeristy of Utah','Contrib',3772,'Asymptotes30.pg',0,2,'en',0,0),(47603,537,45,_binary 'Univeristy of Utah','Contrib',3772,'Asymptotes30.pg',0,2,'en',0,0),(47604,279,45,_binary 'Univeristy of Utah','Contrib',3772,'Asymptotes40.pg',0,2,'en',0,0),(47605,537,45,_binary 'Univeristy of Utah','Contrib',3772,'Asymptotes40.pg',0,2,'en',0,0),(47606,281,0,_binary 'ASU','Contrib',3772,'Asymptotes60.pg',0,3,'en',0,0),(47607,539,0,_binary 'ASU','Contrib',3772,'Asymptotes60.pg',0,3,'en',0,0),(47608,1546,147,_binary 'PCC','Contrib',3773,'FunctionGraphs05.pg',0,0,'en',0,0),(47609,10,7,_binary 'Union College','Contrib',3773,'Piecewise40.pg',2125,4,'en',0,0),(47610,208,0,_binary 'ASU','Contrib',3773,'Domain10.pg',505,2,'en',0,0),(47611,466,0,_binary 'ASU','Contrib',3773,'Domain10.pg',505,2,'en',0,0),(47612,208,0,_binary 'ASU','Contrib',3773,'Domain30.pg',1003,2,'en',0,0),(47613,466,0,_binary 'ASU','Contrib',3773,'Domain30.pg',1003,2,'en',0,0),(47614,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_13_AbsValEq.pg',773,2,'en',0,1),(47615,190,140,_binary 'University of Minnesota','Contrib',3774,'ks_2_7_72.pg',774,4,'en',0,1),(47616,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_16_AbsValIneq.pg',225,0,'en',0,1),(47617,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_02_AbsValEq.pg',899,2,'en',0,1),(47618,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_19_AbsValIneq.pg',225,0,'en',0,1),(47619,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_12_AbsValEq.pg',773,2,'en',0,1),(47620,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_26_AbsValIneq.pg',225,0,'en',0,1),(47621,190,0,_binary 'ASU','Contrib',3774,'zhu12.pg',0,4,'en',0,0),(47622,189,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_36_ScientificNot.pg',2759,2,'en',0,1),(47623,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_09_AbsValEq.pg',0,2,'en',0,1),(47624,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_04_AbsValEq.pg',0,2,'en',0,1),(47625,190,140,_binary 'University of Minnesota','Contrib',3774,'ks_2_7_60.pg',0,2,'en',0,1),(47626,191,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_33_AbsValGraph.pg',0,0,'en',0,1),(47627,190,0,_binary 'ASU','Contrib',3774,'pn4.pg',899,2,'en',0,0),(47628,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_32_AbsValFunc.pg',0,2,'en',0,1),(47629,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_28_AbsValIneq.pg',227,0,'en',0,1),(47630,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_17_AbsValIneq.pg',225,0,'en',0,1),(47631,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_01_AbsValEq.pg',2713,2,'en',0,1),(47632,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_10_AbsValEq.pg',773,2,'en',0,1),(47633,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_27_AbsValIneq.pg',227,0,'en',0,1),(47634,206,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_31_AbsValFunc.pg',1015,0,'en',0,1),(47635,464,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_31_AbsValFunc.pg',1015,0,'en',0,1),(47636,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_21_AbsValIneq.pg',225,0,'en',0,1),(47637,190,49,_binary 'Fort Lewis College','Contrib',3774,'MCH1-3-3-14-Absolute-value.pg',0,2,'en',0,1),(47638,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_05_AbsValEq.pg',0,2,'en',0,1),(47639,190,0,_binary 'ASU','Contrib',3774,'pn5.pg',899,3,'en',0,0),(47640,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_29_AbsValIneq.pg',227,0,'en',0,1),(47641,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_23_AbsValIneq.pg',227,0,'en',0,1),(47642,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_22_AbsValIneq.pg',225,0,'en',0,1),(47643,190,0,NULL,'Contrib',3774,'lh1-6_66.pg',899,2,'en',0,0),(47644,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_08_AbsValEq.pg',899,2,'en',0,1),(47645,190,0,_binary 'ASU','Contrib',3774,'zhu2.pg',773,4,'en',0,0),(47646,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_03_AbsValEq.pg',899,2,'en',0,1),(47647,191,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_34_AbsValGraph.pg',0,0,'en',0,1),(47648,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_07_AbsValEq.pg',899,2,'en',0,1),(47649,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_06_AbsValEq.pg',0,2,'en',0,1),(47650,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_30_AbsValIneq.pg',227,0,'en',0,1),(47651,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_15_AbsValIneq.pg',225,0,'en',0,1),(47652,190,45,_binary 'Univeristy of Utah','Contrib',3774,'s5p6.pg',774,3,'en',0,0),(47653,190,111,_binary 'The College of Idaho','Contrib',3774,'57IntAlg_32_AbsoluteValEq_Review.pg',0,2,'en',0,1),(47654,190,111,_binary 'The College of Idaho','Contrib',3774,'54IntAlg_35_AbsoluteValEq_Review.pg',0,2,'en',0,1),(47655,190,49,_binary 'Fort Lewis College','Contrib',3774,'MCH1-3-3-12-Absolute-value.pg',0,3,'en',0,1),(47656,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_24_AbsValIneq.pg',227,0,'en',0,1),(47657,190,0,_binary 'ASU','Contrib',3774,'zhu3.pg',774,4,'en',0,0),(47658,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_18_AbsValIneq.pg',227,0,'en',0,1),(47659,190,140,_binary 'University of Minnesota','Contrib',3774,'ks_2_7_70.pg',774,4,'en',1,1),(47660,190,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_14_AbsValEq.pg',773,2,'en',0,1),(47661,192,111,_binary 'The College of Idaho','Contrib',3774,'43IntAlg_25_AbsValIneq.pg',227,0,'en',0,1),(47662,405,150,_binary 'Oklahoma State University','Contrib',3775,'matrixpowers1.pg',0,4,'en',0,1),(47663,442,150,_binary 'Oklahoma State University','Contrib',3775,'eigenvectors1.pg',0,3,'en',0,1),(47664,393,150,_binary 'Oklahoma State University','Contrib',2596,'one-dim-wave-propagation-speed.pg',0,5,'en',0,1),(47665,393,150,_binary 'Oklahoma State University','Contrib',2596,'planar2.pg',0,4,'en',0,0),(47666,393,150,_binary 'Oklahoma State University','Contrib',2596,'setup-guitar-1.pg',0,5,'en',0,1),(47667,393,150,_binary 'Oklahoma State University','Contrib',2596,'wave-dimensionless.pg',0,5,'en',0,0),(47668,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-wave-dal1.pg',3061,4,'en',0,0),(47669,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-finite-string-simple1.pg',0,5,'en',0,0),(47670,393,150,_binary 'Oklahoma State University','Contrib',2596,'wavefront1.pg',0,5,'en',0,0),(47671,393,150,_binary 'Oklahoma State University','Contrib',2596,'setup-guitar-2.pg',0,5,'en',0,1),(47672,393,150,_binary 'Oklahoma State University','Contrib',2596,'frequencies1.pg',0,5,'en',0,0),(47673,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-wave-dal4.pg',0,4,'en',0,1),(47674,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-finite-string-dal1.pg',0,5,'en',0,0),(47675,393,150,_binary 'Oklahoma State University','Contrib',2596,'guitar-hold-middle.pg',0,5,'en',0,0),(47676,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-wave-dal3.pg',3061,4,'en',0,0),(47677,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-wave-guess1.pg',0,5,'en',0,0),(47678,393,150,_binary 'Oklahoma State University','Contrib',2596,'wave-speed-zero.pg',0,5,'en',0,1),(47679,393,150,_binary 'Oklahoma State University','Contrib',2596,'planar1.pg',0,4,'en',0,0),(47680,393,150,_binary 'Oklahoma State University','Contrib',2596,'solve-wave-dal2.pg',3061,4,'en',0,0),(47681,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-inhomog.pg',0,5,'en',0,0),(47682,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-steadystate1.pg',0,5,'en',0,0),(47683,392,150,_binary 'Oklahoma State 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'Oklahoma State University','Contrib',2597,'heat-setup3.pg',0,2,'en',0,0),(47703,392,150,_binary 'Oklahoma State University','Contrib',2597,'solve-heat-convect3.pg',3063,5,'en',0,0),(47704,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-units.pg',0,2,'en',0,0),(47705,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-intuition1.pg',0,2,'en',0,0),(47706,392,150,_binary 'Oklahoma State University','Contrib',2597,'solve-heat-convect2.pg',3063,5,'en',0,0),(47707,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-intuition2.pg',0,2,'en',0,0),(47708,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-steadystate2.pg',0,5,'en',0,0),(47709,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-plugin-values.pg',0,2,'en',0,0),(47710,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-setup1.pg',0,2,'en',0,0),(47711,392,150,_binary 'Oklahoma State University','Contrib',2597,'heat-useformula1.pg',3062,2,'en',0,0),(47712,390,150,_binary 'Oklahoma State University','Contrib',2598,'canon1.pg',3191,4,'en',0,0),(47713,390,150,_binary 'Oklahoma State University','Contrib',2598,'classify1.pg',3064,2,'en',0,0),(47714,390,150,_binary 'Oklahoma State University','Contrib',2598,'solutions3.pg',3065,2,'en',0,0),(47715,390,150,_binary 'Oklahoma State University','Contrib',2598,'solutions1.pg',3065,2,'en',0,0),(47716,390,150,_binary 'Oklahoma State University','Contrib',2598,'solutions2.pg',3065,2,'en',0,0),(47717,390,150,_binary 'Oklahoma State University','Contrib',2598,'classify2.pg',3064,2,'en',0,0),(47718,390,150,_binary 'Oklahoma State University','Contrib',2598,'canon2.pg',3191,4,'en',0,0),(47719,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-rect-4.pg',0,4,'en',0,1),(47720,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-rect-5.pg',0,4,'en',0,1),(47721,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-3d-strip-1.pg',0,4,'en',0,1),(47722,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-rect-2.pg',0,4,'en',0,1),(47723,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-rect-6.pg',0,5,'en',0,1),(47724,394,150,_binary 'Oklahoma State University','Contrib',2599,'dirichpoiss2.pg',0,4,'en',0,1),(47725,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-strip-1.pg',0,4,'en',0,1),(47726,394,150,_binary 'Oklahoma State University','Contrib',2599,'dirichpoiss1.pg',0,5,'en',0,0),(47727,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-rect-1.pg',0,4,'en',0,1),(47728,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-annulus1.pg',0,4,'en',0,1),(47729,394,150,_binary 'Oklahoma State University','Contrib',2599,'laplace-rect-3.pg',0,4,'en',0,1),(47730,394,150,_binary 'Oklahoma State University','Contrib',2599,'dirichcirc1.pg',0,3,'en',0,0),(47731,394,150,_binary 'Oklahoma State University','Contrib',2599,'dirichcirc2.pg',0,4,'en',0,0),(47732,176,150,_binary 'Oklahoma State University','Contrib',3776,'surfacearea1.pg',0,3,'en',0,1),(47733,176,150,_binary 'Oklahoma State University','Contrib',3776,'surface-integral2.pg',0,3,'en',0,1),(47734,175,150,_binary 'Oklahoma State University','Contrib',3776,'cyl-div-1.pg',0,3,'en',0,1),(47735,172,150,_binary 'Oklahoma State University','Contrib',3776,'line-integrals-lines2.pg',0,3,'en',0,1),(47736,177,150,_binary 'Oklahoma State University','Contrib',3776,'flux-integral1.pg',0,3,'en',0,1),(47737,172,150,_binary 'Oklahoma State University','Contrib',3776,'line-integrals-lines1.pg',0,3,'en',0,1),(47738,177,150,_binary 'Oklahoma State University','Contrib',3776,'flux-integral-additivity1.pg',0,2,'en',0,1),(47739,154,150,_binary 'Oklahoma State University','Contrib',3776,'laplace-operator1.pg',0,3,'en',0,1),(47740,176,150,_binary 'Oklahoma State University','Contrib',3776,'surface-integral1.pg',0,3,'en',0,1),(47741,158,150,_binary 'Oklahoma State University','Contrib',3776,'hessian3d.pg',0,3,'en',0,1),(47742,148,150,_binary 'Oklahoma State University','Contrib',3776,'surface-normals1.pg',0,3,'en',0,1),(47743,376,150,_binary 'Oklahoma State University','Contrib',2601,'natural-freqs.pg',0,5,'en',0,0),(47744,376,150,_binary 'Oklahoma State University','Contrib',2601,'forced-vibrations.pg',0,5,'en',0,0),(47745,381,150,_binary 'Oklahoma State University','Contrib',2601,'positive-eigenvalues-second-order.pg',0,5,'en',0,0),(47746,363,150,_binary 'Oklahoma State University','Contrib',2602,'dirich-fourier-nonhomog.pg',0,4,'en',0,0),(47747,363,150,_binary 'Oklahoma State University','Contrib',2602,'stringpop1.pg',0,5,'en',0,0),(47748,363,150,_binary 'Oklahoma State University','Contrib',2602,'stringpop2.pg',0,5,'en',0,0),(47749,363,150,_binary 'Oklahoma State University','Contrib',2602,'stringpop3.pg',0,5,'en',0,0),(47750,363,150,_binary 'Oklahoma State University','Contrib',2602,'neumann-fourier-nonhomog.pg',0,4,'en',0,0),(47751,387,150,_binary 'Oklahoma State University','Contrib',3777,'recurrence1.pg',0,4,'en',0,1),(47752,117,150,_binary 'Oklahoma State University','Contrib',3777,'recenter-series-1.pg',0,3,'en',0,1),(47753,380,150,_binary 'Oklahoma State University','Contrib',2603,'rewrite-second-order-to-sys2.pg',0,3,'en',0,0),(47754,381,150,_binary 'Oklahoma State University','Contrib',2603,'eigexpan1.pg',0,5,'en',0,0),(47755,380,150,_binary 'Oklahoma State University','Contrib',2603,'rewrite-second-order-to-sys1.pg',0,3,'en',0,0),(47756,384,150,_binary 'Oklahoma State University','Contrib',3778,'euler1.pg',0,4,'en',0,1),(47757,385,150,_binary 'Oklahoma State University','Contrib',3778,'rungekutta1.pg',0,3,'en',0,1),(47758,342,150,_binary 'Oklahoma State University','Contrib',3779,'substitution1.pg',0,4,'en',0,1),(47759,343,150,_binary 'Oklahoma State University','Contrib',3779,'autonomous1.pg',0,5,'en',0,1),(47760,342,150,_binary 'Oklahoma State University','Contrib',3779,'substitution2.pg',0,4,'en',0,1),(47761,343,150,_binary 'Oklahoma State University','Contrib',3779,'autonomous2.pg',0,4,'en',0,1),(47762,361,150,_binary 'Oklahoma State University','Contrib',3780,'affine-solution-to-nonhomog-2ndorder.pg',0,3,'en',0,1),(47763,1513,150,_binary 'Oklahoma State University','Contrib',3780,'steady-state-periodic-3.pg',0,3,'en',0,1),(47764,1513,150,_binary 'Oklahoma State University','Contrib',3780,'superposition1.pg',0,3,'en',0,1),(47765,364,150,_binary 'Oklahoma State University','Contrib',3780,'check-linear-indep-two-2.pg',0,3,'en',0,1),(47766,361,150,_binary 'Oklahoma State University','Contrib',3780,'mass-spring-1.pg',0,5,'en',0,1),(47767,364,150,_binary 'Oklahoma State University','Contrib',3780,'check-linear-indep-two-1.pg',0,3,'en',0,1),(47768,364,150,_binary 'Oklahoma State University','Contrib',3780,'linear-dependence-1.pg',0,3,'en',0,1),(47769,1513,150,_binary 'Oklahoma State University','Contrib',3780,'steady-state-periodic-2.pg',0,3,'en',0,1),(47770,1513,150,_binary 'Oklahoma State University','Contrib',3780,'steady-state-periodic-1.pg',0,3,'en',0,1),(47771,383,150,_binary 'Oklahoma State University','Contrib',2604,'convert-equation-to-1st-ord-sys-1.pg',0,3,'en',0,1),(47772,383,150,_binary 'Oklahoma State University','Contrib',2604,'jacob2.pg',3068,3,'en',0,1),(47773,383,150,_binary 'Oklahoma State University','Contrib',2604,'degenerate-critical-point1.pg',0,5,'en',0,0),(47774,383,150,_binary 'Oklahoma State University','Contrib',2604,'find-crit-points-list-1.pg',0,3,'en',0,1),(47775,383,150,_binary 'Oklahoma State University','Contrib',2604,'pendulum2.pg',0,5,'en',0,1),(47776,383,150,_binary 'Oklahoma State University','Contrib',2604,'pendulum1.pg',0,5,'en',0,1),(47777,383,150,_binary 'Oklahoma State University','Contrib',2604,'critical-points-curve1.pg',0,5,'en',0,0),(47778,383,150,_binary 'Oklahoma State University','Contrib',2604,'conservative2.pg',0,4,'en',0,1),(47779,383,150,_binary 'Oklahoma State University','Contrib',2604,'bendixson-dulac1.pg',0,3,'en',0,1),(47780,383,150,_binary 'Oklahoma State University','Contrib',2604,'linearization3.pg',3069,4,'en',0,1),(47781,383,150,_binary 'Oklahoma State University','Contrib',2604,'conservative1.pg',0,4,'en',0,1),(47782,383,150,_binary 'Oklahoma State University','Contrib',2604,'linearization2.pg',3069,4,'en',0,1),(47783,383,150,_binary 'Oklahoma State University','Contrib',2604,'pendulum3.pg',0,5,'en',0,1),(47784,383,150,_binary 'Oklahoma State University','Contrib',2604,'vanderpol1.pg',0,5,'en',0,1),(47785,382,150,_binary 'Oklahoma State University','Contrib',2604,'nlinsystem-vectorfield-picker.pg',0,3,'en',0,1),(47786,383,150,_binary 'Oklahoma State University','Contrib',2604,'bendixson-dulac2.pg',0,2,'en',0,1),(47787,383,150,_binary 'Oklahoma State University','Contrib',2604,'linearization-only-1.pg',0,4,'en',0,1),(47788,383,150,_binary 'Oklahoma State University','Contrib',2604,'linearization1.pg',3069,4,'en',0,1),(47789,383,150,_binary 'Oklahoma State University','Contrib',2604,'jacob1.pg',3068,3,'en',0,1),(47790,120,150,_binary 'Oklahoma State University','Contrib',2605,'finite-fourier1.pg',0,2,'en',0,1),(47791,120,150,_binary 'Oklahoma State University','Contrib',2605,'finite-fourier3.pg',0,3,'en',0,1),(47792,120,150,_binary 'Oklahoma State University','Contrib',2605,'fourier-antider1.pg',0,3,'en',0,0),(47793,120,150,_binary 'Oklahoma State University','Contrib',2605,'fourier-differ1.pg',0,3,'en',0,0),(47794,120,150,_binary 'Oklahoma State University','Contrib',2605,'evenoddext1.pg',0,4,'en',0,0),(47795,120,150,_binary 'Oklahoma State University','Contrib',2605,'periodicext1.pg',0,4,'en',0,0),(47796,120,150,_binary 'Oklahoma State University','Contrib',2605,'finite-fourier2.pg',0,2,'en',0,0),(47797,120,150,_binary 'Oklahoma State University','Contrib',2605,'expected-ders1.pg',0,4,'en',0,1),(47798,120,150,_binary 'Oklahoma State University','Contrib',2605,'fourier-series1.pg',0,3,'en',0,1),(47799,1411,0,NULL,'Contrib',2660,'n8-2006-10s.pg',0,3,'en',0,0),(47800,1391,0,NULL,'Contrib',2668,'n3-2009-9s.pg',0,4,'en',0,0),(47801,1400,0,NULL,'Contrib',2668,'n3-2009-10s.pg',0,4,'en',0,0),(47802,361,281,_binary 'University at Buffalo','Contrib',3781,'prob151.pg',0,2,'en',0,0),(47803,220,156,NULL,'Contrib',2698,'tarnsform.pg',0,3,'en',0,1),(47804,478,156,NULL,'Contrib',2698,'tarnsform.pg',0,3,'en',0,1),(47805,215,156,NULL,'Contrib',2698,'horizShiftStretch.pg',0,3,'en',0,1),(47806,473,156,NULL,'Contrib',2698,'horizShiftStretch.pg',0,3,'en',0,1),(47807,215,156,NULL,'Contrib',2698,'horizStretchShift.pg',0,3,'en',0,1),(47808,473,156,NULL,'Contrib',2698,'horizStretchShift.pg',0,3,'en',0,1),(47809,1508,156,_binary 'NAU','Contrib',2701,'lions.pg',0,5,'en',0,1),(47810,1508,156,_binary 'NAU','Contrib',2701,'wiseGuys.pg',0,5,'en',0,1),(47811,742,152,_binary 'NAU','Contrib',2706,'RecurrReln_order1_01.pg',0,3,'en',0,0),(47812,742,152,_binary 'NAU','Contrib',2706,'RecurrReln_order2_square01.pg',0,3,'en',0,0),(47813,742,0,_binary 'Northern Arizona University','Contrib',2706,'lhcc1.pg',0,0,'en',0,0),(47814,742,0,_binary 'Northern Arizona University','Contrib',2706,'lhcc5.pg',0,0,'en',0,0),(47815,743,0,_binary 'Northern Arizona University','Contrib',2706,'lnhcc2.pg',0,0,'en',0,0),(47816,743,0,_binary 'Northern Arizona University','Contrib',2706,'lnhcc4.pg',0,0,'en',0,0),(47817,742,0,_binary 'Northern Arizona University','Contrib',2706,'lhcc4.pg',0,0,'en',0,0),(47818,742,0,_binary 'Northern Arizona University','Contrib',2706,'lhcc2.pg',0,0,'en',0,0),(47819,743,152,_binary 'NAU','Contrib',2706,'RecurrReln_order2_nonhom01a.pg',3117,3,'en',0,0),(47820,743,152,_binary 'NAU','Contrib',2706,'RecurrReln_order2_nonhom01.pg',3117,3,'en',0,0),(47821,742,152,_binary 'NAU','Contrib',2706,'RecurrReln_order2_opp_signs01.pg',0,3,'en',0,0),(47822,743,0,_binary 'Northern Arizona University','Contrib',2706,'lnhcc1.pg',0,0,'en',0,0),(47823,743,0,_binary 'Northern Arizona University','Contrib',2706,'lnhcc3.pg',0,0,'en',0,0),(47824,742,152,_binary 'NAU','Contrib',2706,'RecurrReln_order2_distinct01.pg',0,2,'en',0,0),(47825,742,0,_binary 'Northern Arizona University','Contrib',2706,'lhcc3.pg',0,0,'en',0,0),(47826,51,156,_binary 'NAU','Contrib',2707,'convDirSign.pg',0,0,'en',0,0),(47827,67,156,_binary 'NAU','Contrib',2707,'partsParam.pg',811,2,'en',0,1),(47828,21,156,NULL,'Contrib',2707,'derivAlt.pg',0,3,'en',0,1),(47829,64,156,NULL,'Contrib',2707,'antiPiece.pg',0,3,'en',0,1),(47830,67,156,NULL,'Contrib',2707,'integralRoots.pg',0,3,'en',0,1),(47831,67,156,_binary 'NAU','Contrib',2707,'partsParam2.pg',811,2,'en',0,1),(47832,40,156,NULL,'Contrib',2707,'derivRules.pg',0,3,'en',0,1),(47833,40,156,NULL,'Contrib',2707,'deriv.pg',0,3,'en',0,1),(47834,21,156,NULL,'Contrib',2707,'derivAlt2.pg',0,3,'en',0,1),(47835,61,156,NULL,'Contrib',2707,'integralAsArea.pg',0,3,'en',0,1),(47836,40,156,NULL,'Contrib',2707,'derivLogTrick.pg',0,3,'en',0,1),(47837,58,156,_binary 'NAU','Contrib',2707,'lHospitalParams.pg',0,4,'en',0,0),(47838,40,156,NULL,'Contrib',2707,'derivInv.pg',0,3,'en',0,1),(47839,42,156,_binary 'NAU','Contrib',2707,'implicitTwice.pg',0,2,'en',0,1),(47840,71,282,_binary 'NAU','Contrib',2707,'sub.pg',0,0,'en',0,0),(47841,48,156,_binary 'NAU','Contrib',2707,'critical.pg',0,2,'en',0,1),(47842,40,156,NULL,'Contrib',2707,'derivRulesLimits.pg',0,3,'en',0,1),(47843,22,156,_binary 'NAU','Contrib',3782,'match.pg',0,0,'en',0,0),(47844,179,156,_binary 'NAU','Contrib',2713,'divergence2D.pg',0,3,'en',0,1),(47845,162,156,_binary 'NAU','Contrib',2713,'doubleIntAbs.pg',0,3,'en',0,0),(47846,162,156,_binary 'NAU','Contrib',2713,'doubleIntSgn.pg',0,3,'en',0,0),(47847,159,156,_binary 'NAU','Contrib',2713,'DrAcula.pg',0,2,'en',0,1),(47848,606,156,_binary 'NAU','Contrib',2713,'crossWithParam.pg',0,3,'en',0,1),(47849,139,156,_binary 'NAU','Contrib',2713,'crossWithParam.pg',0,3,'en',0,1),(47850,429,156,_binary 'NAU','Contrib',2713,'crossWithParam.pg',0,3,'en',0,1),(47851,143,156,_binary 'NAU','Contrib',2713,'Jacobian3.pg',0,2,'en',0,1),(47852,144,156,_binary 'NAU','Contrib',2713,'initialValue.pg',0,3,'en',0,1),(47853,176,156,_binary 'NAU','Contrib',2713,'centroidConeSurface.pg',0,3,'en',0,1),(47854,179,156,_binary 'NAU','Contrib',2713,'green.pg',0,2,'en',0,1),(47855,172,156,_binary 'NAU','Contrib',2713,'fluxLine2.pg',0,3,'en',0,1),(47856,605,156,_binary 'NAU','Contrib',2713,'dotWithParam.pg',0,3,'en',0,1),(47857,138,156,_binary 'NAU','Contrib',2713,'dotWithParam.pg',0,3,'en',0,1),(47858,428,156,_binary 'NAU','Contrib',2713,'dotWithParam.pg',0,3,'en',0,1),(47859,175,156,_binary 'NAU','Contrib',2713,'DivRotPopUp.pg',0,0,'en',0,0),(47860,143,156,_binary 'NAU','Contrib',2713,'chain.pg',0,2,'en',0,1),(47861,604,156,_binary 'NAU','Contrib',2713,'vectorMultWithParam.pg',0,3,'en',0,1),(47862,137,156,_binary 'NAU','Contrib',2713,'vectorMultWithParam.pg',0,3,'en',0,1),(47863,427,156,_binary 'NAU','Contrib',2713,'vectorMultWithParam.pg',0,3,'en',0,1),(47864,143,156,_binary 'NAU','Contrib',2713,'linearization.pg',0,2,'en',0,1),(47865,174,156,_binary 'NAU','Contrib',2713,'wire.pg',0,2,'en',0,1),(47866,143,156,_binary 'NAU','Contrib',2713,'linearization2.pg',0,2,'en',0,1),(47867,168,156,_binary 'NAU','Contrib',2713,'centroidHemisphere.pg',0,3,'en',0,1),(47868,175,156,_binary 'NAU','Contrib',2713,'nabla.pg',0,3,'en',0,1),(47869,165,156,_binary 'NAU','Contrib',2713,'ChangeOfVariable2.pg',0,3,'en',0,0),(47870,175,156,_binary 'NAU','Contrib',2713,'DivRot2.pg',0,0,'en',0,0),(47871,143,156,_binary 'NAU','Contrib',2713,'approx.pg',0,2,'en',0,0),(47872,181,156,_binary 'NAU','Contrib',2713,'stokesDiv.pg',0,3,'en',0,1),(47873,143,156,_binary 'NAU','Contrib',2713,'Jacobian4.pg',0,2,'en',0,1),(47874,143,156,_binary 'NAU','Contrib',2713,'Jacobian5.pg',0,2,'en',0,1),(47875,168,156,_binary 'NAU','Contrib',2713,'centroidCone.pg',0,3,'en',0,1),(47876,176,156,_binary 'NAU','Contrib',2713,'massCylinder.pg',0,3,'en',0,1),(47877,172,156,_binary 'NAU','Contrib',2713,'fluxLine.pg',0,2,'en',0,1),(47878,175,156,_binary 'NAU','Contrib',2713,'DivRot.pg',0,0,'en',0,0),(47879,179,156,_binary 'NAU','Contrib',2713,'div2green.pg',0,3,'en',0,1),(47880,157,156,_binary 'NAU','Contrib',3783,'scalarFieldMatch.pg',0,0,'en',0,0),(47881,1505,156,_binary 'NAU','Contrib',2717,'DegreSequences.pg',0,4,'en',0,1),(47882,744,166,_binary 'NAU','Contrib',2717,'AdjacencyDirected.pg',0,1,'en',0,1),(47883,744,166,_binary 'NAU','Contrib',2717,'Adjacency.pg',0,1,'en',0,1),(47884,210,156,_binary 'NAU','Contrib',2720,'funcEq4.pg',3128,4,'en',0,1),(47885,468,156,_binary 'NAU','Contrib',2720,'funcEq4.pg',3128,4,'en',0,1),(47886,210,156,_binary 'NAU','Contrib',2720,'funcEq3.pg',3128,4,'en',0,1),(47887,468,156,_binary 'NAU','Contrib',2720,'funcEq3.pg',3128,4,'en',0,1),(47888,456,156,_binary 'NAU','Contrib',2725,'MatrixTransZeroMagic.pg',0,3,'en',0,1),(47889,440,156,_binary 'NAU','Contrib',2725,'coordinatesZeroMagix.pg',0,3,'en',0,1),(47890,1547,156,_binary 'NAU','Contrib',2734,'deathStar.pg',0,5,'en',0,1),(47891,267,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_57.pg',0,0,'en',0,1),(47892,525,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_57.pg',0,0,'en',0,1),(47893,263,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_9.pg',0,0,'en',0,1),(47894,521,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_9.pg',0,0,'en',0,1),(47895,267,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_51.pg',0,0,'en',0,1),(47896,525,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_51.pg',0,0,'en',0,1),(47897,263,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_26.pg',0,0,'en',0,1),(47898,521,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_26.pg',0,0,'en',0,1),(47899,264,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_13.pg',0,0,'en',0,1),(47900,522,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_13.pg',0,0,'en',0,1),(47901,265,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_37.pg',0,0,'en',0,1),(47902,523,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_37.pg',0,0,'en',0,1),(47903,265,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_35.pg',0,0,'en',0,1),(47904,523,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_35.pg',0,0,'en',0,1),(47905,263,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_5.pg',0,0,'en',0,1),(47906,521,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_5.pg',0,0,'en',0,1),(47907,265,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_17.pg',0,0,'en',0,1),(47908,523,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_17.pg',0,0,'en',0,1),(47909,265,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_19.pg',0,0,'en',0,1),(47910,523,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_19.pg',0,0,'en',0,1),(47911,264,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_29.pg',0,0,'en',0,1),(47912,522,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_29.pg',0,0,'en',0,1),(47913,264,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_15.pg',0,0,'en',0,1),(47914,522,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_15.pg',0,0,'en',0,1),(47915,263,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_25.pg',0,0,'en',0,1),(47916,521,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3784,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_8_25.pg',0,0,'en',0,1),(47917,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_17.pg',0,0,'en',0,1),(47918,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_17.pg',0,0,'en',0,1),(47919,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_61.pg',0,0,'en',0,1),(47920,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_61.pg',0,0,'en',0,1),(47921,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_13.pg',0,0,'en',0,1),(47922,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_13.pg',0,0,'en',0,1),(47923,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_59.pg',0,0,'en',0,1),(47924,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_59.pg',0,0,'en',0,1),(47925,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_5.pg',0,0,'en',0,1),(47926,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_5.pg',0,0,'en',0,1),(47927,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_39.pg',0,0,'en',0,1),(47928,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_39.pg',0,0,'en',0,1),(47929,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_73.pg',0,0,'en',0,1),(47930,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_73.pg',0,0,'en',0,1),(47931,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_27.pg',0,0,'en',0,1),(47932,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_27.pg',0,0,'en',0,1),(47933,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_9.pg',0,0,'en',0,1),(47934,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_9.pg',0,0,'en',0,1),(47935,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_29.pg',0,0,'en',0,1),(47936,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_29.pg',0,0,'en',0,1),(47937,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_16.pg',0,0,'en',0,1),(47938,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_16.pg',0,0,'en',0,1),(47939,210,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_11.pg',0,0,'en',0,1),(47940,468,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_11.pg',0,0,'en',0,1),(47941,210,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_77.pg',0,0,'en',0,1),(47942,468,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3785,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_4_77.pg',0,0,'en',0,1),(47943,210,17,_binary 'University of Missouri-Columbia','Contrib',3785,'Openstax_AlgTrig_AT-1-001-AS_3_4_43.pg',0,3,'en',0,0),(47944,468,17,_binary 'University of Missouri-Columbia','Contrib',3785,'Openstax_AlgTrig_AT-1-001-AS_3_4_43.pg',0,3,'en',0,0),(47945,210,17,_binary 'University of Missouri-Columbia','Contrib',3785,'Openstax_AlgTrig_AT-1-001-AS_3_4_45.pg',0,3,'en',0,0),(47946,468,17,_binary 'University of Missouri-Columbia','Contrib',3785,'Openstax_AlgTrig_AT-1-001-AS_3_4_45.pg',0,3,'en',0,0),(47947,403,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_11.pg',0,0,'en',0,1),(47948,403,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_10.pg',0,0,'en',0,1),(47949,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_52.pg',0,0,'en',0,1),(47950,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_52.pg',0,0,'en',0,1),(47951,268,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_60.pg',0,0,'en',0,1),(47952,526,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_60.pg',0,0,'en',0,1),(47953,399,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_40.pg',0,0,'en',0,1),(47954,403,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_6.pg',0,0,'en',0,1),(47955,407,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_16.pg',0,0,'en',0,1),(47956,398,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_22.pg',0,0,'en',0,1),(47957,398,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_30.pg',0,0,'en',0,1),(47958,407,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3786,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_6_19.pg',0,0,'en',0,1),(47959,293,210,_binary 'Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_51.pg',0,0,'en',0,1),(47960,551,210,_binary 'Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_51.pg',0,0,'en',0,1),(47961,292,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_24.pg',0,0,'en',0,1),(47962,550,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_24.pg',0,0,'en',0,1),(47963,292,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_29.pg',0,0,'en',0,1),(47964,550,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_29.pg',0,0,'en',0,1),(47965,291,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_18.pg',0,0,'en',0,1),(47966,549,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_18.pg',0,0,'en',0,1),(47967,293,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_6.pg',0,0,'en',0,1),(47968,551,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3787,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_7_6.pg',0,0,'en',0,1),(47969,227,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_25.pg',0,0,'en',0,1),(47970,485,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_25.pg',0,0,'en',0,1),(47971,227,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_57.pg',0,0,'en',0,1),(47972,485,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_57.pg',0,0,'en',0,1),(47973,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_23.pg',0,0,'en',0,1),(47974,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_23.pg',0,0,'en',0,1),(47975,236,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_41.pg',0,0,'en',0,1),(47976,494,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_41.pg',0,0,'en',0,1),(47977,229,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_61.pg',0,0,'en',0,1),(47978,487,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_61.pg',0,0,'en',0,1),(47979,237,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_02.pg',0,0,'en',0,1),(47980,495,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_02.pg',0,0,'en',0,1),(47981,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_15.pg',0,0,'en',0,1),(47982,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_15.pg',0,0,'en',0,1),(47983,227,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_27.pg',0,0,'en',0,1),(47984,485,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_27.pg',0,0,'en',0,1),(47985,229,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_31.pg',0,0,'en',0,1),(47986,487,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_31.pg',0,0,'en',0,1),(47987,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_07.pg',0,0,'en',0,1),(47988,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_07.pg',0,0,'en',0,1),(47989,236,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_45.pg',0,0,'en',0,1),(47990,494,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_45.pg',0,0,'en',0,1),(47991,229,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_35.pg',0,0,'en',0,1),(47992,487,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_35.pg',0,0,'en',0,1),(47993,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_09.pg',0,0,'en',0,1),(47994,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_09.pg',0,0,'en',0,1),(47995,237,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_03.pg',0,0,'en',0,1),(47996,495,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_03.pg',0,0,'en',0,1),(47997,229,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_29.pg',0,0,'en',0,1),(47998,487,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_29.pg',0,0,'en',0,1),(47999,229,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_59.pg',0,0,'en',0,1),(48000,487,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_59.pg',0,0,'en',0,1),(48001,228,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_55.pg',0,0,'en',0,1),(48002,486,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_55.pg',0,0,'en',0,1),(48003,228,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_39.pg',0,0,'en',0,1),(48004,486,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_39.pg',0,0,'en',0,1),(48005,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_13.pg',0,0,'en',0,1),(48006,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_13.pg',0,0,'en',0,1),(48007,229,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_33.pg',0,0,'en',0,1),(48008,487,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_33.pg',0,0,'en',0,1),(48009,236,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_43.pg',0,0,'en',0,1),(48010,494,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_43.pg',0,0,'en',0,1),(48011,228,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_05.pg',0,0,'en',0,1),(48012,486,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_05.pg',0,0,'en',0,1),(48013,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_21.pg',0,0,'en',0,1),(48014,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_21.pg',0,0,'en',0,1),(48015,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_19.pg',0,0,'en',0,1),(48016,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_19.pg',0,0,'en',0,1),(48017,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_11.pg',0,0,'en',0,1),(48018,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_11.pg',0,0,'en',0,1),(48019,237,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_01.pg',0,0,'en',0,1),(48020,495,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_01.pg',0,0,'en',0,1),(48021,233,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_17.pg',0,0,'en',0,1),(48022,491,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_17.pg',0,0,'en',0,1),(48023,228,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_04.pg',0,0,'en',0,1),(48024,486,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_04.pg',0,0,'en',0,1),(48025,228,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_37.pg',0,0,'en',0,1),(48026,486,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_37.pg',0,0,'en',0,1),(48027,228,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_53.pg',0,0,'en',0,1),(48028,486,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3788,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_4_1_53.pg',0,0,'en',0,1),(48029,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_19.pg',0,0,'en',0,1),(48030,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_19.pg',0,0,'en',0,1),(48031,278,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_73.pg',0,0,'en',0,1),(48032,536,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_73.pg',0,0,'en',0,1),(48033,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_75.pg',0,0,'en',0,1),(48034,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_75.pg',0,0,'en',0,1),(48035,281,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_86.pg',0,0,'en',0,1),(48036,539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_86.pg',0,0,'en',0,1),(48037,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_77.pg',0,0,'en',0,1),(48038,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_77.pg',0,0,'en',0,1),(48039,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_45.pg',0,0,'en',0,1),(48040,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_45.pg',0,0,'en',0,1),(48041,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_9.pg',0,0,'en',0,1),(48042,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_9.pg',0,0,'en',0,1),(48043,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_39.pg',0,0,'en',0,1),(48044,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_39.pg',0,0,'en',0,1),(48045,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_57.pg',0,0,'en',0,1),(48046,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_57.pg',0,0,'en',0,1),(48047,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg',0,0,'en',0,1),(48048,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_13.pg',0,0,'en',0,1),(48049,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_43.pg',0,0,'en',0,1),(48050,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_43.pg',0,0,'en',0,1),(48051,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_51.pg',0,0,'en',0,1),(48052,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_51.pg',0,0,'en',0,1),(48053,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_8.pg',0,0,'en',0,1),(48054,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_8.pg',0,0,'en',0,1),(48055,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_10.pg',0,0,'en',0,1),(48056,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_10.pg',0,0,'en',0,1),(48057,278,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_71.pg',0,0,'en',0,1),(48058,536,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_71.pg',0,0,'en',0,1),(48059,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_48.pg',0,0,'en',0,1),(48060,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_48.pg',0,0,'en',0,1),(48061,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_6.pg',0,0,'en',0,1),(48062,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_6.pg',0,0,'en',0,1),(48063,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_40.pg',0,0,'en',0,1),(48064,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_40.pg',0,0,'en',0,1),(48065,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_17.pg',0,0,'en',0,1),(48066,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_17.pg',0,0,'en',0,1),(48067,281,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_83.pg',0,0,'en',0,1),(48068,539,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_83.pg',0,0,'en',0,1),(48069,277,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_78.pg',0,0,'en',0,1),(48070,535,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_78.pg',0,0,'en',0,1),(48071,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_61.pg',0,0,'en',0,1),(48072,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_61.pg',0,0,'en',0,1),(48073,279,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_20.pg',0,0,'en',0,1),(48074,537,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_20.pg',0,0,'en',0,1),(48075,280,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_15.pg',0,0,'en',0,1),(48076,538,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3789,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_6_15.pg',0,0,'en',0,1),(48077,246,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_57.pg',0,0,'en',0,1),(48078,504,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_57.pg',0,0,'en',0,1),(48079,242,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_21.pg',0,0,'en',0,1),(48080,500,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_21.pg',0,0,'en',0,1),(48081,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_12.pg',0,0,'en',0,1),(48082,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_12.pg',0,0,'en',0,1),(48083,239,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_26.pg',0,0,'en',0,1),(48084,497,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_26.pg',0,0,'en',0,1),(48085,239,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_25.pg',0,0,'en',0,1),(48086,497,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_25.pg',0,0,'en',0,1),(48087,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_32.pg',0,0,'en',0,1),(48088,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_32.pg',0,0,'en',0,1),(48089,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_7.pg',0,0,'en',0,1),(48090,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_7.pg',0,0,'en',0,1),(48091,240,0,_binary 'Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_41.pg',0,0,'en',0,1),(48092,498,0,_binary 'Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_41.pg',0,0,'en',0,1),(48093,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_38.pg',0,0,'en',0,1),(48094,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_38.pg',0,0,'en',0,1),(48095,238,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_6.pg',0,0,'en',0,1),(48096,496,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_6.pg',0,0,'en',0,1),(48097,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_39.pg',0,0,'en',0,1),(48098,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_39.pg',0,0,'en',0,1),(48099,246,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_56.pg',0,0,'en',0,1),(48100,504,0,_binary 'Red RocksCommunity College, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_56.pg',0,0,'en',0,1),(48101,240,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_35.pg',0,0,'en',0,1),(48102,498,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_35.pg',0,0,'en',0,1),(48103,242,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_19.pg',0,0,'en',0,1),(48104,500,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3790,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_5_19.pg',0,0,'en',0,1),(48105,192,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_28.pg',0,0,'en',0,1),(48106,190,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_449.pg',0,0,'en',0,1),(48107,192,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_15.pg',0,0,'en',0,1),(48108,190,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_443.pg',0,0,'en',0,1),(48109,192,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_17.pg',0,0,'en',0,1),(48110,192,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_19.pg',0,0,'en',0,1),(48111,235,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_7.pg',0,0,'en',0,1),(48112,493,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_7.pg',0,0,'en',0,1),(48113,235,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_11.pg',0,0,'en',0,1),(48114,493,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_11.pg',0,0,'en',0,1),(48115,190,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_447.pg',0,0,'en',0,1),(48116,192,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_21.pg',0,0,'en',0,1),(48117,235,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_10.pg',0,0,'en',0,1),(48118,493,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_10.pg',0,0,'en',0,1),(48119,190,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_440.pg',0,0,'en',0,1),(48120,235,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_6.pg',0,0,'en',0,1),(48121,493,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_7_6.pg',0,0,'en',0,1),(48122,190,199,_binary 'Colorado Community College System','Contrib',3791,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_2_7_442.pg',0,0,'en',0,1),(48123,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_43.pg',0,0,'en',0,1),(48124,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_43.pg',0,0,'en',0,1),(48125,243,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_27.pg',0,0,'en',0,1),(48126,501,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_27.pg',0,0,'en',0,1),(48127,243,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_29.pg',0,0,'en',0,1),(48128,501,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_29.pg',0,0,'en',0,1),(48129,243,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_10.pg',0,0,'en',0,1),(48130,501,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_10.pg',0,0,'en',0,1),(48131,246,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_67.pg',0,0,'en',0,1),(48132,504,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_67.pg',0,0,'en',0,1),(48133,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_21.pg',0,0,'en',0,1),(48134,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_21.pg',0,0,'en',0,1),(48135,246,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_73.pg',0,0,'en',0,1),(48136,504,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_73.pg',0,0,'en',0,1),(48137,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_23.pg',0,0,'en',0,1),(48138,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_23.pg',0,0,'en',0,1),(48139,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_41.pg',0,0,'en',0,1),(48140,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_41.pg',0,0,'en',0,1),(48141,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg',0,0,'en',0,1),(48142,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_14.pg',0,0,'en',0,1),(48143,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_35.pg',0,0,'en',0,1),(48144,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_35.pg',0,0,'en',0,1),(48145,208,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_56.pg',0,0,'en',0,1),(48146,466,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_56.pg',0,0,'en',0,1),(48147,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_16.pg',0,0,'en',0,1),(48148,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_16.pg',0,0,'en',0,1),(48149,243,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_6.pg',0,0,'en',0,1),(48150,501,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_6.pg',0,0,'en',0,1),(48151,245,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_39.pg',0,0,'en',0,1),(48152,503,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3792,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_1_39.pg',0,0,'en',0,1),(48153,286,196,_binary 'Red Rocks Community College','Contrib',3793,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_16.pg',0,0,'en',0,1),(48154,544,196,_binary 'Red Rocks Community College','Contrib',3793,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_16.pg',0,0,'en',0,1),(48155,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_25.pg',0,0,'en',0,1),(48156,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_25.pg',0,0,'en',0,1),(48157,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_13.pg',0,0,'en',0,1),(48158,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_13.pg',0,0,'en',0,1),(48159,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_19.pg',0,0,'en',0,1),(48160,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_19.pg',0,0,'en',0,1),(48161,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_23.pg',0,0,'en',0,1),(48162,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_23.pg',0,0,'en',0,1),(48163,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_05.pg',0,0,'en',0,1),(48164,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_05.pg',0,0,'en',0,1),(48165,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_27.pg',0,0,'en',0,1),(48166,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_27.pg',0,0,'en',0,1),(48167,286,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_12.pg',0,0,'en',0,1),(48168,544,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_12.pg',0,0,'en',0,1),(48169,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_21.pg',0,0,'en',0,1),(48170,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_21.pg',0,0,'en',0,1),(48171,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_15.pg',0,0,'en',0,1),(48172,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_15.pg',0,0,'en',0,1),(48173,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_3.pg',0,0,'en',0,1),(48174,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_3.pg',0,0,'en',0,1),(48175,286,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_9.pg',0,0,'en',0,1),(48176,544,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_9.pg',0,0,'en',0,1),(48177,286,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_7.pg',0,0,'en',0,1),(48178,544,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3793,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_7.pg',0,0,'en',0,1),(48179,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_31.pg',0,0,'en',0,1),(48180,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_31.pg',0,0,'en',0,1),(48181,286,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_29.pg',0,0,'en',0,1),(48182,544,193,_binary 'Community College of Denver, Colorado Community College System','Contrib',3793,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_5_29.pg',0,0,'en',0,1),(48183,283,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_15.pg',0,0,'en',0,1),(48184,541,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_15.pg',0,0,'en',0,1),(48185,283,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_45.pg',0,0,'en',0,1),(48186,541,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_45.pg',0,0,'en',0,1),(48187,284,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_25.pg',0,0,'en',0,1),(48188,542,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_25.pg',0,0,'en',0,1),(48189,284,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_37.pg',0,0,'en',0,1),(48190,542,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_37.pg',0,0,'en',0,1),(48191,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_7_box.pg',0,0,'en',0,1),(48192,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_7_box.pg',0,0,'en',0,1),(48193,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_12.pg',0,0,'en',0,1),(48194,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_12.pg',0,0,'en',0,1),(48195,282,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_21.pg',0,0,'en',0,1),(48196,540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_21.pg',0,0,'en',0,1),(48197,283,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_13.pg',0,0,'en',0,1),(48198,541,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_13.pg',0,0,'en',0,1),(48199,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_7.pg',0,0,'en',0,1),(48200,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_7.pg',0,0,'en',0,1),(48201,284,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_29.pg',0,0,'en',0,1),(48202,542,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_29.pg',0,0,'en',0,1),(48203,284,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_57.pg',0,0,'en',0,1),(48204,542,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_57.pg',0,0,'en',0,1),(48205,283,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_11.pg',0,0,'en',0,1),(48206,541,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_11.pg',0,0,'en',0,1),(48207,283,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_18.pg',0,0,'en',0,1),(48208,541,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_18.pg',0,0,'en',0,1),(48209,282,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_19.pg',0,0,'en',0,1),(48210,540,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_7_19.pg',0,0,'en',0,1),(48211,283,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_21.pg',0,0,'en',0,1),(48212,541,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_21.pg',0,0,'en',0,1),(48213,283,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_16.pg',0,0,'en',0,1),(48214,541,196,_binary 'Colorado Community College System','Contrib',3794,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_7_16.pg',0,0,'en',0,1),(48215,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_54.pg',0,0,'en',0,1),(48216,196,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_27.pg',0,0,'en',0,1),(48217,197,0,_binary 'Red Rocks Community College','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_17.pg',0,0,'en',0,1),(48218,236,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_5.pg',0,0,'en',0,1),(48219,494,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_5.pg',0,0,'en',0,1),(48220,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_25.pg',0,0,'en',0,1),(48221,196,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_29.pg',0,0,'en',0,1),(48222,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3795,'RRCC_CCCS_Circles_1.pg',0,0,'en',0,1),(48223,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3795,'RRCC_CCCS_Circles_3.pg',0,0,'en',0,1),(48224,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_44.pg',0,0,'en',0,1),(48225,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_19.pg',0,0,'en',0,1),(48226,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_45.pg',0,0,'en',0,1),(48227,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3795,'RRCC_CCCS_Circles_4.pg',0,0,'en',0,1),(48228,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_43.pg',0,0,'en',0,1),(48229,197,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_23.pg',0,0,'en',0,1),(48230,229,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_13.pg',0,0,'en',0,1),(48231,487,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_13.pg',0,0,'en',0,1),(48232,196,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_30.pg',0,0,'en',0,1),(48233,196,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_28.pg',0,0,'en',0,1),(48234,198,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3795,'RRCC_CCCS_Circles_5.pg',0,0,'en',0,1),(48235,236,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_9.pg',0,0,'en',0,1),(48236,494,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_9.pg',0,0,'en',0,1),(48237,196,0,_binary 'Colorado Community College System','Contrib',3795,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_1_34.pg',0,0,'en',0,1),(48238,198,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3795,'RRCC_CCCS_Circles_2.pg',0,0,'en',0,1),(48239,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(48240,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_197.pg',0,0,'en',0,1),(48241,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_235.pg',0,0,'en',0,1),(48242,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_235.pg',0,0,'en',0,1),(48243,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(48244,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_217.pg',0,0,'en',0,1),(48245,276,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(48246,534,0,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_203.pg',0,0,'en',0,1),(48247,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(48248,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_219.pg',0,0,'en',0,1),(48249,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_199.pg',0,0,'en',0,1),(48250,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_199.pg',0,0,'en',0,1),(48251,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(48252,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_241.pg',0,0,'en',0,1),(48253,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(48254,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_209.pg',0,0,'en',0,1),(48255,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(48256,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_239.pg',0,0,'en',0,1),(48257,276,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(48258,534,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3796,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_4_213.pg',0,0,'en',0,1),(48259,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_12.pg',0,0,'en',0,1),(48260,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_32.pg',0,0,'en',0,1),(48261,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_19.pg',0,0,'en',0,1),(48262,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_18.pg',0,0,'en',0,1),(48263,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_50.pg',0,0,'en',0,1),(48264,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_30.pg',0,0,'en',0,1),(48265,405,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3797,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_5_7.pg',0,0,'en',0,1),(48266,273,196,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_28.pg',0,0,'en',0,1),(48267,531,196,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_28.pg',0,0,'en',0,1),(48268,273,0,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_24.pg',0,0,'en',0,1),(48269,531,0,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_24.pg',0,0,'en',0,1),(48270,242,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_38.pg',0,0,'en',0,1),(48271,500,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_38.pg',0,0,'en',0,1),(48272,242,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_37.pg',0,0,'en',0,1),(48273,500,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_37.pg',0,0,'en',0,1),(48274,273,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_9.pg',0,0,'en',0,1),(48275,531,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_9.pg',0,0,'en',0,1),(48276,273,0,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_22.pg',0,0,'en',0,1),(48277,531,0,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_22.pg',0,0,'en',0,1),(48278,190,196,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_31.pg',0,0,'en',0,1),(48279,190,196,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_29.pg',0,0,'en',0,1),(48280,273,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_7.pg',0,0,'en',0,1),(48281,531,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_7.pg',0,0,'en',0,1),(48282,273,0,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_21.pg',0,0,'en',0,1),(48283,531,0,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_21.pg',0,0,'en',0,1),(48284,190,196,_binary 'Red Rocks Community College','Contrib',3798,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_35.pg',0,0,'en',0,1),(48285,242,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_40.pg',0,0,'en',0,1),(48286,500,210,_binary 'Colorado Community College System','Contrib',3798,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_6_40.pg',0,0,'en',0,1),(48287,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_15.pg',0,0,'en',0,1),(48288,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_15.pg',0,0,'en',0,1),(48289,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_49.pg',0,0,'en',0,1),(48290,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_49.pg',0,0,'en',0,1),(48291,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_27.pg',0,0,'en',0,1),(48292,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_27.pg',0,0,'en',0,1),(48293,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_51.pg',0,0,'en',0,1),(48294,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_51.pg',0,0,'en',0,1),(48295,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_39.pg',0,0,'en',0,1),(48296,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_39.pg',0,0,'en',0,1),(48297,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_38.pg',0,0,'en',0,1),(48298,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_38.pg',0,0,'en',0,1),(48299,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_9.pg',0,0,'en',0,1),(48300,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_9.pg',0,0,'en',0,1),(48301,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_14.pg',0,0,'en',0,1),(48302,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_14.pg',0,0,'en',0,1),(48303,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_3.pg',0,0,'en',0,1),(48304,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_3.pg',0,0,'en',0,1),(48305,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_65.pg',0,0,'en',0,1),(48306,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_65.pg',0,0,'en',0,1),(48307,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_44.pg',0,0,'en',0,1),(48308,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_44.pg',0,0,'en',0,1),(48309,249,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_7.pg',0,0,'en',0,1),(48310,507,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3799,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_4_7.pg',0,0,'en',0,1),(48311,237,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_57.pg',0,0,'en',0,1),(48312,495,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_57.pg',0,0,'en',0,1),(48313,228,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_37.pg',0,0,'en',0,1),(48314,486,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_37.pg',0,0,'en',0,1),(48315,228,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_36.pg',0,0,'en',0,1),(48316,486,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_36.pg',0,0,'en',0,1),(48317,228,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_39.pg',0,0,'en',0,1),(48318,486,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_39.pg',0,0,'en',0,1),(48319,229,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_22.pg',0,0,'en',1,1),(48320,487,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_22.pg',0,0,'en',1,1),(48321,228,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_45.pg',0,0,'en',0,1),(48322,486,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_45.pg',0,0,'en',0,1),(48323,234,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_13.pg',0,0,'en',0,1),(48324,492,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_13.pg',0,0,'en',0,1),(48325,228,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_29.pg',0,0,'en',1,1),(48326,486,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_29.pg',0,0,'en',1,1),(48327,234,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_8.pg',0,0,'en',0,1),(48328,492,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_8.pg',0,0,'en',0,1),(48329,234,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_6.pg',0,0,'en',0,1),(48330,492,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_6.pg',0,0,'en',0,1),(48331,234,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_10.pg',0,0,'en',0,1),(48332,492,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_10.pg',0,0,'en',0,1),(48333,228,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_36b.pg',0,0,'en',0,1),(48334,486,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_36b.pg',0,0,'en',0,1),(48335,227,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_41.pg',0,0,'en',0,1),(48336,485,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_41.pg',0,0,'en',0,1),(48337,229,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_30.pg',0,0,'en',0,1),(48338,487,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_30.pg',0,0,'en',0,1),(48339,230,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_50.pg',0,0,'en',0,1),(48340,488,210,_binary 'Colorado Community College System','Contrib',3800,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_50.pg',0,0,'en',0,1),(48341,229,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_23.pg',0,0,'en',1,1),(48342,487,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3800,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_2_23.pg',0,0,'en',1,1),(48343,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_7.pg',0,0,'en',0,1),(48344,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_7.pg',0,0,'en',0,1),(48345,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_51.pg',0,0,'en',0,1),(48346,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_51.pg',0,0,'en',0,1),(48347,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_15.pg',0,0,'en',0,1),(48348,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_15.pg',0,0,'en',0,1),(48349,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_54.pg',0,0,'en',0,1),(48350,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_54.pg',0,0,'en',0,1),(48351,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_28.pg',0,0,'en',0,1),(48352,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_28.pg',0,0,'en',0,1),(48353,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_11.pg',0,0,'en',0,1),(48354,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_11.pg',0,0,'en',0,1),(48355,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_25.pg',0,0,'en',0,1),(48356,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_25.pg',0,0,'en',0,1),(48357,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_17.pg',0,0,'en',0,1),(48358,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_17.pg',0,0,'en',0,1),(48359,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_21.pg',0,0,'en',0,1),(48360,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_21.pg',0,0,'en',0,1),(48361,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_13.pg',0,0,'en',0,1),(48362,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_13.pg',0,0,'en',0,1),(48363,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_9.pg',0,0,'en',0,1),(48364,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3801,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_2_9.pg',0,0,'en',0,1),(48365,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_44.pg',0,0,'en',0,1),(48366,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_44.pg',0,0,'en',0,1),(48367,291,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9.pg',0,0,'en',0,1),(48368,549,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_9.pg',0,0,'en',0,1),(48369,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_4.pg',0,0,'en',0,1),(48370,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_4.pg',0,0,'en',0,1),(48371,293,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_65.pg',0,0,'en',0,1),(48372,551,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_65.pg',0,0,'en',0,1),(48373,291,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61.pg',0,0,'en',0,1),(48374,549,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_61.pg',0,0,'en',0,1),(48375,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_24.pg',0,0,'en',1,1),(48376,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_24.pg',0,0,'en',1,1),(48377,293,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_28.pg',0,0,'en',0,1),(48378,551,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_28.pg',0,0,'en',0,1),(48379,285,0,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_14.pg',0,0,'en',0,1),(48380,543,0,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_14.pg',0,0,'en',0,1),(48381,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_48.pg',0,0,'en',0,1),(48382,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_48.pg',0,0,'en',0,1),(48383,285,0,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_18.pg',0,0,'en',1,1),(48384,543,0,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_18.pg',0,0,'en',1,1),(48385,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_45.pg',0,0,'en',0,1),(48386,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_45.pg',0,0,'en',0,1),(48387,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_23.pg',0,0,'en',1,1),(48388,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_23.pg',0,0,'en',1,1),(48389,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_41.pg',0,0,'en',0,1),(48390,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_41.pg',0,0,'en',0,1),(48391,285,0,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_21.pg',0,0,'en',1,1),(48392,543,0,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_21.pg',0,0,'en',1,1),(48393,285,213,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_16.pg',0,0,'en',0,1),(48394,543,213,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_16.pg',0,0,'en',0,1),(48395,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_26.pg',0,0,'en',1,1),(48396,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_26.pg',0,0,'en',1,1),(48397,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_39.pg',0,0,'en',0,1),(48398,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_39.pg',0,0,'en',0,1),(48399,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_40.pg',0,0,'en',0,1),(48400,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_40.pg',0,0,'en',0,1),(48401,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_15.pg',0,0,'en',0,1),(48402,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_15.pg',0,0,'en',0,1),(48403,285,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_25.pg',0,0,'en',1,1),(48404,543,199,_binary 'Colorado Community College System','Contrib',3802,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_1_25.pg',0,0,'en',1,1),(48405,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_35.pg',0,0,'en',0,1),(48406,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_35.pg',0,0,'en',0,1),(48407,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_47.pg',0,0,'en',0,1),(48408,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_47.pg',0,0,'en',0,1),(48409,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_7.pg',0,0,'en',0,1),(48410,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_7.pg',0,0,'en',0,1),(48411,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_71.pg',0,0,'en',0,1),(48412,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_71.pg',0,0,'en',0,1),(48413,205,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_9.pg',0,0,'en',0,1),(48414,463,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_9.pg',0,0,'en',0,1),(48415,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_15.pg',0,0,'en',0,1),(48416,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_15.pg',0,0,'en',0,1),(48417,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_63.pg',0,0,'en',0,1),(48418,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_63.pg',0,0,'en',0,1),(48419,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_75.pg',0,0,'en',0,1),(48420,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_75.pg',0,0,'en',0,1),(48421,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_41.pg',0,0,'en',0,1),(48422,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_41.pg',0,0,'en',0,1),(48423,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_65.pg',0,0,'en',0,1),(48424,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_65.pg',0,0,'en',0,1),(48425,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_29.pg',0,0,'en',0,1),(48426,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_29.pg',0,0,'en',0,1),(48427,207,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_53.pg',0,0,'en',0,1),(48428,465,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_53.pg',0,0,'en',0,1),(48429,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_27.pg',0,0,'en',0,1),(48430,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_27.pg',0,0,'en',0,1),(48431,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_43.pg',0,0,'en',0,1),(48432,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_43.pg',0,0,'en',0,1),(48433,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_37.pg',0,0,'en',0,1),(48434,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_37.pg',0,0,'en',0,1),(48435,205,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_45.pg',0,0,'en',0,1),(48436,463,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_45.pg',0,0,'en',0,1),(48437,206,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_30.pg',0,0,'en',0,1),(48438,464,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_30.pg',0,0,'en',0,1),(48439,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_31.pg',0,0,'en',0,1),(48440,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_31.pg',0,0,'en',0,1),(48441,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_28.pg',0,0,'en',0,1),(48442,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_28.pg',0,0,'en',0,1),(48443,206,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_66.pg',0,0,'en',0,1),(48444,464,215,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3803,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_1_66.pg',0,0,'en',0,1),(48445,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_17.pg',0,0,'en',0,1),(48446,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_17.pg',0,0,'en',0,1),(48447,211,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup5.pg',0,0,'en',0,1),(48448,469,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup5.pg',0,0,'en',0,1),(48449,211,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup2.pg',0,0,'en',0,1),(48450,469,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup2.pg',0,0,'en',0,1),(48451,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_11.pg',0,0,'en',0,1),(48452,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_11.pg',0,0,'en',0,1),(48453,211,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup4.pg',0,0,'en',0,1),(48454,469,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup4.pg',0,0,'en',0,1),(48455,211,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup3.pg',0,0,'en',0,1),(48456,469,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup3.pg',0,0,'en',0,1),(48457,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_18.pg',0,0,'en',0,1),(48458,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_18.pg',0,0,'en',0,1),(48459,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_9.pg',0,0,'en',0,1),(48460,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_9.pg',0,0,'en',0,1),(48461,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_16.pg',0,0,'en',0,1),(48462,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_16.pg',0,0,'en',0,1),(48463,212,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_45.pg',0,0,'en',0,1),(48464,470,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_45.pg',0,0,'en',0,1),(48465,211,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup1.pg',0,0,'en',0,1),(48466,469,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup1.pg',0,0,'en',0,1),(48467,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_25.pg',0,0,'en',0,1),(48468,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_25.pg',0,0,'en',0,1),(48469,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_23.pg',0,0,'en',0,1),(48470,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_23.pg',0,0,'en',0,1),(48471,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_22.pg',0,0,'en',0,1),(48472,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_22.pg',0,0,'en',0,1),(48473,211,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup6.pg',0,0,'en',0,1),(48474,469,196,_binary 'Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_sup6.pg',0,0,'en',0,1),(48475,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_24.pg',0,0,'en',0,1),(48476,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_24.pg',0,0,'en',0,1),(48477,212,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7.pg',0,0,'en',0,1),(48478,470,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_7.pg',0,0,'en',0,1),(48479,212,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_26.pg',0,0,'en',0,1),(48480,470,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_26.pg',0,0,'en',0,1),(48481,212,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_44.pg',0,0,'en',0,1),(48482,470,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3804,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_3_44.pg',0,0,'en',0,1),(48483,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_365.pg',0,0,'en',0,1),(48484,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_365.pg',0,0,'en',0,1),(48485,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_343.pg',0,0,'en',0,1),(48486,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_343.pg',0,0,'en',0,1),(48487,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_339.pg',0,0,'en',0,1),(48488,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_339.pg',0,0,'en',0,1),(48489,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_347.pg',0,0,'en',0,1),(48490,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_347.pg',0,0,'en',0,1),(48491,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_349.pg',0,0,'en',0,1),(48492,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_349.pg',0,0,'en',0,1),(48493,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_352.pg',0,0,'en',0,1),(48494,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_352.pg',0,0,'en',0,1),(48495,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_354.pg',0,0,'en',0,1),(48496,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_354.pg',0,0,'en',0,1),(48497,278,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_357.pg',0,0,'en',0,1),(48498,536,210,_binary 'Colorado Community College System','Contrib',3805,'CCD_CCCS_Openstax_IntAlg_IA-2017-000-LC_7_6_357.pg',0,0,'en',0,1),(48499,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_13.pg',0,0,'en',0,1),(48500,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_13.pg',0,0,'en',0,1),(48501,255,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_7.pg',0,0,'en',0,0),(48502,513,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_7.pg',0,0,'en',0,0),(48503,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_24.pg',0,0,'en',0,1),(48504,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_24.pg',0,0,'en',0,1),(48505,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_33.pg',0,0,'en',0,1),(48506,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_33.pg',0,0,'en',0,1),(48507,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_28.pg',0,0,'en',0,1),(48508,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_28.pg',0,0,'en',0,1),(48509,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_43.pg',0,0,'en',0,1),(48510,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_43.pg',0,0,'en',0,1),(48511,255,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_6.pg',0,0,'en',0,0),(48512,513,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_6.pg',0,0,'en',0,0),(48513,261,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_66.pg',0,0,'en',0,1),(48514,519,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_66.pg',0,0,'en',0,1),(48515,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_39.pg',0,0,'en',0,1),(48516,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_39.pg',0,0,'en',0,1),(48517,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_14.pg',0,0,'en',0,1),(48518,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_14.pg',0,0,'en',0,1),(48519,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_58.pg',0,0,'en',0,1),(48520,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_58.pg',0,0,'en',0,1),(48521,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_40.pg',0,0,'en',0,1),(48522,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_40.pg',0,0,'en',0,1),(48523,255,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_12.pg',0,0,'en',0,1),(48524,513,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_12.pg',0,0,'en',0,1),(48525,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_25.pg',0,0,'en',0,1),(48526,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_25.pg',0,0,'en',0,1),(48527,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_60.pg',0,0,'en',0,1),(48528,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_60.pg',0,0,'en',0,1),(48529,255,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_8.pg',0,0,'en',0,0),(48530,513,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_8.pg',0,0,'en',0,0),(48531,255,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_9.pg',0,0,'en',0,0),(48532,513,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_9.pg',0,0,'en',0,0),(48533,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_53.pg',0,0,'en',0,1),(48534,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_53.pg',0,0,'en',0,1),(48535,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_37.pg',0,0,'en',0,1),(48536,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_37.pg',0,0,'en',0,1),(48537,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_22.pg',0,0,'en',0,1),(48538,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_22.pg',0,0,'en',0,1),(48539,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_31.pg',0,0,'en',0,1),(48540,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_31.pg',0,0,'en',0,1),(48541,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_34.pg',0,0,'en',0,1),(48542,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_34.pg',0,0,'en',0,1),(48543,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_51.pg',0,0,'en',0,1),(48544,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_51.pg',0,0,'en',0,1),(48545,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_20.pg',0,0,'en',0,1),(48546,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_20.pg',0,0,'en',0,1),(48547,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_55.pg',0,0,'en',0,1),(48548,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_55.pg',0,0,'en',0,1),(48549,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_17.pg',0,0,'en',0,1),(48550,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_17.pg',0,0,'en',0,1),(48551,260,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_23.pg',0,0,'en',0,1),(48552,518,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_23.pg',0,0,'en',0,1),(48553,260,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_36.pg',0,0,'en',0,1),(48554,518,200,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3806,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_2_36.pg',0,0,'en',0,1),(48555,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_7.pg',0,0,'en',0,1),(48556,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_7.pg',0,0,'en',0,1),(48557,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_9.pg',0,0,'en',0,1),(48558,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_9.pg',0,0,'en',0,1),(48559,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_6.pg',0,0,'en',0,1),(48560,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_6.pg',0,0,'en',0,1),(48561,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_31.pg',0,0,'en',0,1),(48562,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_31.pg',0,0,'en',0,1),(48563,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_16.pg',0,0,'en',0,1),(48564,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_16.pg',0,0,'en',0,1),(48565,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_10.pg',0,0,'en',0,1),(48566,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_10.pg',0,0,'en',0,1),(48567,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_17.pg',0,0,'en',0,1),(48568,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_17.pg',0,0,'en',0,1),(48569,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_29.pg',0,0,'en',0,1),(48570,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_29.pg',0,0,'en',0,1),(48571,269,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_8.pg',0,0,'en',0,1),(48572,527,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3807,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_3_8.pg',0,0,'en',0,1),(48573,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_11.pg',0,0,'en',0,1),(48574,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_11.pg',0,0,'en',0,1),(48575,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_26.pg',0,0,'en',0,1),(48576,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_26.pg',0,0,'en',0,1),(48577,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_17.pg',0,0,'en',0,1),(48578,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_17.pg',0,0,'en',0,1),(48579,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_24.pg',0,0,'en',0,1),(48580,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_24.pg',0,0,'en',0,1),(48581,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_21.pg',0,0,'en',0,1),(48582,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_21.pg',0,0,'en',0,1),(48583,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_31.pg',0,0,'en',0,1),(48584,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_31.pg',0,0,'en',0,1),(48585,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_12.pg',0,0,'en',0,1),(48586,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_12.pg',0,0,'en',0,1),(48587,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_57.pg',0,0,'en',0,1),(48588,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_57.pg',0,0,'en',0,1),(48589,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_15.pg',0,0,'en',0,1),(48590,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_15.pg',0,0,'en',0,1),(48591,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_37.pg',0,0,'en',0,1),(48592,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_37.pg',0,0,'en',0,1),(48593,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_29.pg',0,0,'en',0,1),(48594,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_29.pg',0,0,'en',0,1),(48595,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_38.pg',0,0,'en',0,1),(48596,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_38.pg',0,0,'en',0,1),(48597,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_6.pg',0,0,'en',0,1),(48598,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_6.pg',0,0,'en',0,1),(48599,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_43.pg',0,0,'en',0,1),(48600,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_43.pg',0,0,'en',0,1),(48601,268,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_61.pg',0,0,'en',0,1),(48602,526,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3808,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_11_1_61.pg',0,0,'en',0,1),(48603,290,199,_binary 'Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9a.pg',0,0,'en',1,1),(48604,548,199,_binary 'Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9a.pg',0,0,'en',1,1),(48605,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9.pg',0,0,'en',1,1),(48606,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_9.pg',0,0,'en',1,1),(48607,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_11.pg',0,0,'en',1,1),(48608,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_11.pg',0,0,'en',1,1),(48609,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_23.pg',0,0,'en',0,1),(48610,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_23.pg',0,0,'en',0,1),(48611,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_19.pg',0,0,'en',1,1),(48612,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_19.pg',0,0,'en',1,1),(48613,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_27.pg',0,0,'en',1,1),(48614,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_27.pg',0,0,'en',1,1),(48615,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_43.pg',0,0,'en',0,1),(48616,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_43.pg',0,0,'en',0,1),(48617,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_44.pg',0,0,'en',0,1),(48618,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_44.pg',0,0,'en',0,1),(48619,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_28.pg',0,0,'en',1,1),(48620,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_28.pg',0,0,'en',1,1),(48621,290,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_32.pg',0,0,'en',0,1),(48622,548,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_32.pg',0,0,'en',0,1),(48623,285,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_7.pg',0,0,'en',1,1),(48624,543,199,_binary 'Community College of Denver, Colorado Community College System','Contrib',3809,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_2_7.pg',0,0,'en',1,1),(48625,215,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_24.pg',0,0,'en',0,1),(48626,473,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_24.pg',0,0,'en',0,1),(48627,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_30.pg',0,0,'en',0,1),(48628,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_30.pg',0,0,'en',0,1),(48629,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_13.pg',0,0,'en',0,1),(48630,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_13.pg',0,0,'en',0,1),(48631,224,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_59.pg',0,0,'en',0,1),(48632,482,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_59.pg',0,0,'en',0,1),(48633,217,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32b.pg',0,0,'en',0,1),(48634,475,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32b.pg',0,0,'en',0,1),(48635,223,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_56.pg',0,0,'en',0,1),(48636,481,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_56.pg',0,0,'en',0,1),(48637,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_8.pg',0,0,'en',0,1),(48638,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_8.pg',0,0,'en',0,1),(48639,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_10.pg',0,0,'en',0,1),(48640,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_10.pg',0,0,'en',0,1),(48641,215,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_25.pg',0,0,'en',0,1),(48642,473,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_25.pg',0,0,'en',0,1),(48643,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_6.pg',0,0,'en',0,1),(48644,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_6.pg',0,0,'en',0,1),(48645,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_31.pg',0,0,'en',0,1),(48646,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_31.pg',0,0,'en',0,1),(48647,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_47.pg',0,0,'en',0,1),(48648,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_47.pg',0,0,'en',0,1),(48649,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_27.pg',0,0,'en',0,1),(48650,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_27.pg',0,0,'en',0,1),(48651,215,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_75.pg',0,0,'en',0,1),(48652,473,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_75.pg',0,0,'en',0,1),(48653,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_39.pg',0,0,'en',0,1),(48654,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_39.pg',0,0,'en',0,1),(48655,216,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_53.pg',0,0,'en',0,1),(48656,474,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_53.pg',0,0,'en',0,1),(48657,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_17.pg',0,0,'en',0,1),(48658,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_17.pg',0,0,'en',0,1),(48659,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_69.pg',0,0,'en',0,1),(48660,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_69.pg',0,0,'en',0,1),(48661,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_37.pg',0,0,'en',0,1),(48662,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_37.pg',0,0,'en',0,1),(48663,218,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_64.pg',0,0,'en',0,1),(48664,476,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_64.pg',0,0,'en',0,1),(48665,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_50.pg',0,0,'en',0,1),(48666,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_50.pg',0,0,'en',0,1),(48667,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_19.pg',0,0,'en',0,1),(48668,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_19.pg',0,0,'en',0,1),(48669,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_35.pg',0,0,'en',0,1),(48670,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_35.pg',0,0,'en',0,1),(48671,215,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_73.pg',0,0,'en',0,1),(48672,473,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_73.pg',0,0,'en',0,1),(48673,213,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_11.pg',0,0,'en',0,1),(48674,471,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_11.pg',0,0,'en',0,1),(48675,218,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_61.pg',0,0,'en',0,1),(48676,476,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_61.pg',0,0,'en',0,1),(48677,219,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_49.pg',0,0,'en',0,1),(48678,477,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_49.pg',0,0,'en',0,1),(48679,220,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32.pg',0,0,'en',0,1),(48680,478,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_32.pg',0,0,'en',0,1),(48681,217,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_77.pg',0,0,'en',0,1),(48682,475,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3810,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_5_77.pg',0,0,'en',0,1),(48683,193,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_41.pg',0,0,'en',0,1),(48684,191,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_25.pg',0,0,'en',0,1),(48685,192,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_8.pg',0,0,'en',0,1),(48686,191,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_16.pg',0,0,'en',0,1),(48687,193,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_40.pg',0,0,'en',0,1),(48688,190,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_5.pg',0,0,'en',0,1),(48689,191,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_11.pg',0,0,'en',0,1),(48690,191,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_9.pg',0,0,'en',0,1),(48691,192,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3811,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_6_7.pg',0,0,'en',0,1),(48692,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_17.pg',0,0,'en',0,1),(48693,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_17.pg',0,0,'en',0,1),(48694,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_16.pg',0,0,'en',0,1),(48695,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_16.pg',0,0,'en',0,1),(48696,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_41.pg',0,0,'en',0,1),(48697,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_41.pg',0,0,'en',0,1),(48698,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_23.pg',0,0,'en',0,1),(48699,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_23.pg',0,0,'en',0,1),(48700,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_25.pg',0,0,'en',0,1),(48701,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_25.pg',0,0,'en',0,1),(48702,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_9.pg',0,0,'en',0,1),(48703,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_9.pg',0,0,'en',0,1),(48704,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_43.pg',0,0,'en',0,1),(48705,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_43.pg',0,0,'en',0,1),(48706,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_35.pg',0,0,'en',0,1),(48707,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_35.pg',0,0,'en',0,1),(48708,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_31.pg',0,0,'en',0,1),(48709,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_31.pg',0,0,'en',0,1),(48710,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_14.pg',0,0,'en',0,1),(48711,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_14.pg',0,0,'en',0,1),(48712,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_45.pg',0,0,'en',0,1),(48713,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_45.pg',0,0,'en',0,1),(48714,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_8.pg',0,0,'en',0,1),(48715,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_8.pg',0,0,'en',0,1),(48716,257,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_7.pg',0,0,'en',0,1),(48717,515,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_7.pg',0,0,'en',0,1),(48718,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_29.pg',0,0,'en',0,1),(48719,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_29.pg',0,0,'en',0,1),(48720,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_27.pg',0,0,'en',0,1),(48721,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_27.pg',0,0,'en',0,1),(48722,258,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_33.pg',0,0,'en',0,1),(48723,516,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3812,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_5_5_33.pg',0,0,'en',0,1),(48724,290,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_26.pg',0,0,'en',0,1),(48725,548,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_26.pg',0,0,'en',0,1),(48726,287,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_7.pg',0,0,'en',0,1),(48727,545,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_7.pg',0,0,'en',0,1),(48728,287,0,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_13.pg',0,0,'en',0,1),(48729,545,0,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_13.pg',0,0,'en',0,1),(48730,288,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_52.pg',0,0,'en',0,1),(48731,546,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_52.pg',0,0,'en',0,1),(48732,290,193,_binary 'Community College of Denver','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_43.pg',0,0,'en',0,1),(48733,548,193,_binary 'Community College of Denver','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_43.pg',0,0,'en',0,1),(48734,287,0,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_17.pg',0,0,'en',0,1),(48735,545,0,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_17.pg',0,0,'en',0,1),(48736,287,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_9.pg',0,0,'en',0,1),(48737,545,196,_binary 'Red Rocks Community College','Contrib',3813,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_9.pg',0,0,'en',0,1),(48738,290,193,_binary 'Community College of Denver','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_45.pg',0,0,'en',0,1),(48739,548,193,_binary 'Community College of Denver','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_45.pg',0,0,'en',0,1),(48740,287,0,_binary 'Red Rocks Community College','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_15.pg',0,0,'en',0,1),(48741,545,0,_binary 'Red Rocks Community College','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_15.pg',0,0,'en',0,1),(48742,290,0,_binary 'Community College of Denver','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_41.pg',0,0,'en',0,1),(48743,548,0,_binary 'Community College of Denver','Contrib',3813,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_4_41.pg',0,0,'en',0,1),(48744,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_33.pg',0,0,'en',0,1),(48745,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_33.pg',0,0,'en',0,1),(48746,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_15.pg',0,0,'en',0,1),(48747,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_15.pg',0,0,'en',0,1),(48748,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_45.pg',0,0,'en',0,1),(48749,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_45.pg',0,0,'en',0,1),(48750,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_10.pg',0,0,'en',0,1),(48751,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_10.pg',0,0,'en',0,1),(48752,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_39.pg',0,0,'en',0,1),(48753,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_39.pg',0,0,'en',0,1),(48754,209,17,_binary 'University of Missouri-Columbia','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_SUP1.pg',2368,2,'en',0,1),(48755,467,17,_binary 'University of Missouri-Columbia','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_SUP1.pg',2368,2,'en',0,1),(48756,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_27.pg',0,0,'en',0,1),(48757,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_27.pg',0,0,'en',0,1),(48758,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_8.pg',0,0,'en',0,1),(48759,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_8.pg',0,0,'en',0,1),(48760,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_17.pg',0,0,'en',0,1),(48761,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_17.pg',0,0,'en',0,1),(48762,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_31.pg',0,0,'en',0,1),(48763,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_31.pg',0,0,'en',0,1),(48764,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_32.pg',0,0,'en',0,1),(48765,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_32.pg',0,0,'en',0,1),(48766,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_51.pg',0,0,'en',0,1),(48767,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_51.pg',0,0,'en',0,1),(48768,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_VIDEO_1.pg',0,0,'en',0,1),(48769,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_VIDEO_1.pg',0,0,'en',0,1),(48770,208,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_41.pg',0,0,'en',0,1),(48771,466,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_41.pg',0,0,'en',0,1),(48772,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_49.pg',0,0,'en',0,1),(48773,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_49.pg',0,0,'en',0,1),(48774,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_47.pg',0,0,'en',0,1),(48775,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_47.pg',0,0,'en',0,1),(48776,208,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_6.pg',0,0,'en',0,1),(48777,466,196,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_6.pg',0,0,'en',0,1),(48778,209,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_43.pg',0,0,'en',0,1),(48779,467,195,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3814,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_3_2_43.pg',0,0,'en',0,1),(48780,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_57.pg',0,0,'en',0,1),(48781,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_57.pg',0,0,'en',0,1),(48782,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_21.pg',0,0,'en',0,1),(48783,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_21.pg',0,0,'en',0,1),(48784,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_37.pg',0,0,'en',0,1),(48785,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_37.pg',0,0,'en',0,1),(48786,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_19.pg',0,0,'en',0,1),(48787,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_19.pg',0,0,'en',0,1),(48788,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_17.pg',0,0,'en',0,1),(48789,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_17.pg',0,0,'en',0,1),(48790,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_23.pg',0,0,'en',0,1),(48791,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_23.pg',0,0,'en',0,1),(48792,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_41.pg',0,0,'en',0,1),(48793,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_41.pg',0,0,'en',0,1),(48794,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_29.pg',0,0,'en',0,1),(48795,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_29.pg',0,0,'en',0,1),(48796,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_43.pg',0,0,'en',0,1),(48797,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_43.pg',0,0,'en',0,1),(48798,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_11.pg',0,0,'en',0,1),(48799,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_11.pg',0,0,'en',0,1),(48800,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_7.pg',0,0,'en',0,1),(48801,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_7.pg',0,0,'en',0,1),(48802,288,210,_binary 'Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_15.pg',0,0,'en',0,1),(48803,546,210,_binary 'Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_15.pg',0,0,'en',0,1),(48804,291,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_67.pg',0,0,'en',0,1),(48805,549,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_67.pg',0,0,'en',0,1),(48806,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_45.pg',0,0,'en',0,1),(48807,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_45.pg',0,0,'en',0,1),(48808,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_25.pg',0,0,'en',0,1),(48809,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_25.pg',0,0,'en',0,1),(48810,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_33.pg',0,0,'en',0,1),(48811,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_33.pg',0,0,'en',0,1),(48812,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_49.pg',0,0,'en',0,1),(48813,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_49.pg',0,0,'en',0,1),(48814,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_13.pg',0,0,'en',0,1),(48815,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_13.pg',0,0,'en',0,1),(48816,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_39.pg',0,0,'en',0,1),(48817,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_39.pg',0,0,'en',0,1),(48818,288,199,_binary 'Community College of Denver','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_5.pg',0,0,'en',0,1),(48819,546,199,_binary 'Community College of Denver','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_5.pg',0,0,'en',0,1),(48820,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_31.pg',0,0,'en',0,1),(48821,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_31.pg',0,0,'en',0,1),(48822,288,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_47.pg',0,0,'en',0,1),(48823,546,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3815,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_47.pg',0,0,'en',0,1),(48824,288,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_12.pg',0,0,'en',0,1),(48825,546,196,_binary 'Red Rocks Community College','Contrib',3815,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_6_12.pg',0,0,'en',0,1),(48826,1369,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3816,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_49.pg',0,0,'en',0,1),(48827,1437,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3816,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_49.pg',0,0,'en',0,1),(48828,1365,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_17.pg',0,0,'en',0,1),(48829,1433,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_17.pg',0,0,'en',0,1),(48830,1369,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3816,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_50.pg',0,0,'en',0,1),(48831,1437,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3816,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_50.pg',0,0,'en',0,1),(48832,1366,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_25.pg',0,0,'en',0,1),(48833,1434,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_25.pg',0,0,'en',0,1),(48834,1368,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_33.pg',0,0,'en',0,1),(48835,1436,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_33.pg',0,0,'en',0,1),(48836,1372,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_40b.pg',0,0,'en',0,1),(48837,1440,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_40b.pg',0,0,'en',0,1),(48838,1366,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3816,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_21.pg',0,0,'en',0,1),(48839,1434,210,_binary 'Community College of Denver, Colorado Community College System','Contrib',3816,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_21.pg',0,0,'en',0,1),(48840,1372,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_40a.pg',0,0,'en',0,1),(48841,1440,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_40a.pg',0,0,'en',0,1),(48842,1365,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_16.pg',0,0,'en',0,1),(48843,1433,0,_binary 'Red Rocks Community College, Colorado Community College System','Contrib',3816,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_2_4_16.pg',0,0,'en',0,1),(48844,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_29.pg',0,0,'en',0,1),(48845,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_29.pg',0,0,'en',0,1),(48846,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_11.pg',0,0,'en',0,1),(48847,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_11.pg',0,0,'en',0,1),(48848,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25.pg',0,0,'en',0,1),(48849,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_25.pg',0,0,'en',0,1),(48850,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_09.pg',0,0,'en',0,1),(48851,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_09.pg',0,0,'en',0,1),(48852,286,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_36.pg',0,0,'en',0,1),(48853,544,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_36.pg',0,0,'en',0,1),(48854,286,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_53.pg',0,0,'en',0,1),(48855,544,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_53.pg',0,0,'en',0,1),(48856,288,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_16.pg',0,0,'en',0,1),(48857,546,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_16.pg',0,0,'en',0,1),(48858,286,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_41.pg',0,0,'en',0,1),(48859,544,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_41.pg',0,0,'en',0,1),(48860,288,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_6.pg',0,0,'en',0,1),(48861,546,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_6.pg',0,0,'en',0,1),(48862,286,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43.pg',0,0,'en',0,1),(48863,544,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_43.pg',0,0,'en',0,1),(48864,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_35.pg',0,0,'en',0,1),(48865,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_35.pg',0,0,'en',0,1),(48866,288,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_12.pg',0,0,'en',0,1),(48867,546,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_12.pg',0,0,'en',0,1),(48868,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_27.pg',0,0,'en',0,1),(48869,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_27.pg',0,0,'en',0,1),(48870,286,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_51.pg',0,0,'en',0,1),(48871,544,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_51.pg',0,0,'en',0,1),(48872,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_19.pg',0,0,'en',0,1),(48873,546,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_19.pg',0,0,'en',0,1),(48874,286,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_49.pg',0,0,'en',0,1),(48875,544,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_49.pg',0,0,'en',0,1),(48876,288,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_7.pg',0,0,'en',0,1),(48877,546,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_7.pg',0,0,'en',0,1),(48878,286,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_39.pg',0,0,'en',0,1),(48879,544,196,_binary 'Red Rocks Community College','Contrib',3817,'RRCC_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_39.pg',0,0,'en',0,1),(48880,288,193,_binary 'Community College of Denver','Contrib',3817,'CCD_CCCS_Openstax_AlgTrig_AT-1-001-AS_6_3_23.pg',0,0,'en',0,1),(48881,546,193,_binary 'Community College of 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tests',NULL),(790,202,4,'Abstract vector spaces',NULL),(791,202,8,'Abstract vector spaces',NULL),(792,203,1,'Linear equations and functions',NULL),(793,204,13,'Kinetics of particles',NULL),(794,205,4,'Kinetics of particles',NULL),(795,204,11,'Kinematics of particles',NULL),(796,205,3,'Kinematics of particles',NULL),(797,204,12,'Kinetics of particles',NULL),(798,205,2,'Kinematics of particles',NULL),(799,206,8,'Friction',NULL),(800,207,6,'Friction',NULL),(801,208,1,'Vector geometry',NULL),(802,208,2,'Matrices',NULL),(803,208,3,'Recurrence relations',NULL),(804,209,4,'Trees',NULL),(805,209,2,'Finite sequences and series',NULL),(806,209,3,'First order logic',NULL),(807,209,1,'Counting',NULL),(808,209,-1,'Operations on sets',NULL),(809,123,15,'Terminology',NULL),(810,123,11,'Calculus of vector valued functions',NULL),(811,123,9,'Vector geometry',NULL),(812,123,13,'Limits and continuity',NULL),(813,123,14,'Concepts for multivariable functions',NULL),(814,210,4,'Partial differential equations',NULL),(815,126,23,'Partial differential equations',NULL),(816,127,7,'Series solutions',NULL),(817,127,1,'Numerical methods',NULL),(818,127,2,'Higher order differential equations',NULL),(819,136,7,'Applications of integration',NULL); +/*!40000 ALTER TABLE `OPL_chapter` ENABLE KEYS */; +UNLOCK TABLES; + +-- +-- Table structure for table `OPL_section` +-- + +DROP TABLE IF EXISTS `OPL_section`; +/*!40101 SET @saved_cs_client = @@character_set_client */; +/*!50503 SET character_set_client = utf8mb4 */; +CREATE TABLE `OPL_section` ( + `section_id` int(15) NOT NULL AUTO_INCREMENT, + `chapter_id` int(15) DEFAULT NULL, + `number` int(3) DEFAULT NULL, + `name` varchar(245) NOT NULL, + `page` int(4) DEFAULT NULL, + PRIMARY KEY (`section_id`), + KEY `chapter_id` (`chapter_id`,`name`), + KEY `number` (`number`) +) ENGINE=MyISAM AUTO_INCREMENT=4019 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_general_ci; +/*!40101 SET character_set_client = @saved_cs_client */; + +-- +-- Dumping data for table `OPL_section` +-- + +LOCK TABLES `OPL_section` WRITE; +/*!40000 ALTER TABLE `OPL_section` DISABLE KEYS */; +INSERT INTO `OPL_section` VALUES (1,1,-1,'',NULL),(2,1,1,'Lines and Linear Equations',NULL),(3,1,2,'Linear Systems and Matrices',NULL),(4,1,3,'Numerical Solutions',NULL),(5,1,4,'Applications of Linear Systems',NULL),(6,2,-1,'',NULL),(7,2,1,'Vectors',NULL),(8,2,2,'Span',NULL),(9,2,3,'Linear Independence',NULL),(10,3,-1,'',NULL),(11,3,1,'Linear Transformations',NULL),(12,3,2,'Matrix Algebra',NULL),(13,3,3,'Inverses',NULL),(14,3,4,'LU Factorization',NULL),(15,3,5,'Markov Chains',NULL),(16,4,-1,'',NULL),(17,4,1,'Introduction to Subspaces',NULL),(18,4,2,'Basis and Dimension',NULL),(19,4,3,'Row and Column Spaces',NULL),(20,5,-1,'',NULL),(21,5,1,'The Determinant Function',NULL),(22,5,2,'Properties of the Determinant',NULL),(23,5,3,'Applications of the Determinant',NULL),(24,6,-1,'',NULL),(25,6,1,'Eigenvalues and Eigenvectors',NULL),(26,6,2,'Approximation Methods',NULL),(27,6,3,'Change of Basis',NULL),(28,6,4,'Diagonalization',NULL),(29,6,5,'Complex Eigenvalues',NULL),(30,6,6,'Systems of Differential Equations',NULL),(31,7,-1,'',NULL),(32,7,1,'Vector Spaces and Subspaces',NULL),(33,7,2,'Span and Linear Independence',NULL),(34,7,3,'Basis and Dimension',NULL),(35,8,-1,'',NULL),(36,8,1,'Dot Products and Orthogonal Sets',NULL),(37,8,2,'Projection and the Gram-Schmidt Process',NULL),(38,8,3,'Diagonalizing Symmetric Matrices and QR Factorization',NULL),(39,8,4,'The Singular Value Decomposition',NULL),(40,8,5,'Least Squares Regression',NULL),(41,9,-1,'',NULL),(42,9,1,'Definition and Properties',NULL),(43,9,2,'Isomorphisms',NULL),(44,9,3,'The Matrix of a Linear Transformation',NULL),(45,9,4,'Similarity',NULL),(46,10,-1,'',NULL),(47,10,1,'Inner Products',NULL),(48,10,2,'The Gram-Schmidt Process Revisited',NULL),(49,10,3,'Applications of Inner Products',NULL),(50,11,-1,'',NULL),(51,11,1,'Quadratic Forms',NULL),(52,11,2,'Positive Definite Matrices',NULL),(53,11,3,'Constrained Optimization',NULL),(54,11,4,'Complex Vector Spaces',NULL),(55,11,5,'Hermitian Matrices',NULL),(56,12,-1,'',NULL),(57,12,0,'Algebra Prerequisites',NULL),(58,12,1,'Simple Interest',NULL),(59,12,2,'Compound Interest',NULL),(60,12,3,'Effective and Nominal Rates of Interest',NULL),(61,12,4,'Present and Future Value',NULL),(62,13,-1,'',NULL),(63,13,1,'Time Value of Money',NULL),(64,13,2,'Unknown Time and Logarithms',NULL),(65,13,3,'Dollar Weighted Rate of Return',NULL),(66,13,4,'Time Weighted Rate of Return',NULL),(67,14,-1,'',NULL),(68,14,1,'Geometric Sums',NULL),(69,14,2,'Annuities',NULL),(70,14,3,'Loans',NULL),(71,14,4,'Sinking Funds',NULL),(72,14,5,'Varying Payments',NULL),(73,14,6,'Perpetuities',NULL),(74,15,-1,'',NULL),(75,15,1,'Yield Rates',NULL),(76,15,2,'Bonds',NULL),(77,15,3,'Book Value',NULL),(78,15,4,'Other Bonds',NULL),(79,16,-1,'',NULL),(80,16,1,'Introduction to Probability',NULL),(81,16,2,'Expected Values',NULL),(82,16,3,'Contingent Payments',NULL),(83,17,-1,'',NULL),(84,17,1,'Introduction to Options',NULL),(85,17,2,'Hedging Strategies',NULL),(86,17,3,'Binomial Trees',NULL),(87,18,-1,'',NULL),(88,18,1,'Introduction',NULL),(89,18,2,'Characterizing a Set of Measurements: Graphical Methods',NULL),(90,18,3,'Characterizing a Set of Measurements: Numerical Methods',NULL),(91,18,4,'How Inferences Are Made',NULL),(92,18,5,'Theory and Reality',NULL),(93,18,6,'Summary',NULL),(94,19,-1,'',NULL),(95,19,1,'Introduction',NULL),(96,19,2,'Probability and Inference',NULL),(97,19,3,'A Review of Set Notation',NULL),(98,19,4,'A Probabilistic Model for an Experiment: The Discrete Case',NULL),(99,19,5,'Calculating the Probability of an Event: The Sample-Point Method',NULL),(100,19,6,'Tools for Counting Sample Points',NULL),(101,19,7,'Conditional Probability and the Independence of Events',NULL),(102,19,8,'Two Laws of Probability',NULL),(103,19,9,'Calculating the Probability of an Event: The Event-Composition Methods',NULL),(104,19,10,'The Law of Total Probability and Bayes\'s Rule',NULL),(105,19,11,'Numerical Events and Random Variables',NULL),(106,19,12,'Random Sampling',NULL),(107,19,13,'Summary',NULL),(108,20,-1,'',NULL),(109,20,1,'Basic Definition',NULL),(110,20,2,'The Probability Distribution for Discrete Random Variable',NULL),(111,20,3,'The Expected Value of Random Variable or a Function of Random Variable',NULL),(112,20,4,'The Binomial Probability Distribution',NULL),(113,20,5,'The Geometric Probability Distribution',NULL),(114,20,6,'The Negative Binomial Probability Distribution',NULL),(115,20,7,'The Hypergeometric Probability Distribution',NULL),(116,20,8,'Moments and Moment-Generating Functions',NULL),(117,20,9,'Probability-Generating Functions',NULL),(118,20,10,'Tchebysheff\'s Theorem',NULL),(119,20,11,'Summary',NULL),(120,21,-1,'',NULL),(121,21,1,'Introduction',NULL),(122,21,2,'The Probability Distribution for Continuous Random Variable',NULL),(123,21,3,'The Expected Value for Continuous Random Variable',NULL),(124,21,4,'The Uniform Probability Distribution',NULL),(125,21,5,'The Normal Probability Distribution',NULL),(126,21,6,'The Gamma Probability Distribution',NULL),(127,21,7,'The Beta Probability Distribution',NULL),(128,21,8,'Some General Comments',NULL),(129,21,9,'Other Expected Values',NULL),(130,21,10,'Tchebysheff\'s Theorem',NULL),(131,21,11,'Expectations of Discontinuous Functions and Mixed Probability Distributions',NULL),(132,21,12,'Summary',NULL),(133,22,-1,'',NULL),(134,22,1,'Introduction',NULL),(135,22,2,'Bivariate and Multivariate Probability Distributions',NULL),(136,22,3,'Independent Random Variables',NULL),(137,22,4,'The Expected Value of a Function of Random Variables',NULL),(138,22,5,'Special Theorems',NULL),(139,22,6,'The Covariance of Two Random Variables',NULL),(140,22,7,'The Expected Value and Variance of Linear Functions of Random Variables',NULL),(141,22,8,'The Multinomial Probability Distribution',NULL),(142,22,9,'The Bivariate Normal Distribution',NULL),(143,22,10,'Conditional Expectations',NULL),(144,22,11,'Summary',NULL),(145,23,-1,'',NULL),(146,23,1,'Introductions',NULL),(147,23,2,'Finding the Probability Distribution of a Function of Random Variables',NULL),(148,23,3,'The Method of Distribution Functions',NULL),(149,23,4,'The Methods of Transformations',NULL),(150,23,5,'Multivariable Transformations Using Jacobians',NULL),(151,23,6,'Order Statistics',NULL),(152,23,7,'Summary',NULL),(153,24,-1,'',NULL),(154,24,1,'Introduction',NULL),(155,24,2,'Sampling Distributions Related to the Normal Distribution',NULL),(156,24,3,'The Central Limit Theorem',NULL),(157,24,4,'A Proof of the Central Limit Theorem',NULL),(158,24,5,'The Normal Approximation to the Binomial Distributions',NULL),(159,24,6,'Summary',NULL),(160,25,-1,'',NULL),(161,25,1,'Introduction',NULL),(162,25,2,'The Bias and Mean Square Error of Point Estimators',NULL),(163,25,3,'Some Common Unbiased Point Estimators',NULL),(164,25,4,'Evaluating the Goodness of Point Estimator',NULL),(165,25,5,'Confidence Intervals',NULL),(166,25,6,'Large-Sample Confidence Intervals Selecting the Sample Size',NULL),(167,25,7,'Small-Sample Confidence Intervals for u and u1-u2',NULL),(168,25,8,'Confidence Intervals for o2',NULL),(169,25,9,'Summary',NULL),(170,26,-1,'',NULL),(171,26,1,'Introduction',NULL),(172,26,2,'Relative Efficiency',NULL),(173,26,3,'Consistency',NULL),(174,26,4,'Sufficiency',NULL),(175,26,5,'The Rao-Blackwell Theorem and Minimum-Variance Unbiased Estimation',NULL),(176,26,6,'The Method of Moments',NULL),(177,26,7,'The Method of Maximum Likelihood',NULL),(178,26,8,'Some Large-Sample Properties of MLEs',NULL),(179,26,9,'Summary',NULL),(180,27,-1,'',NULL),(181,27,1,'Introduction',NULL),(182,27,2,'Elements of a Statistical Test',NULL),(183,27,3,'Common Large-Sample Tests',NULL),(184,27,4,'Calculating Type II Error Probabilities and Finding the Sample Size for the Z Test',NULL),(185,27,5,'Relationships Between Hypothesis Testing Procedures and Confidence Intervals',NULL),(186,27,6,'Another Way to Report the Results of a Statistical Test: Attained Significance Levels or p-Values',NULL),(187,27,7,'Some Comments on the Theory of Hypothesis Testing',NULL),(188,27,8,'Small-Sample Hypothesis Testing for u and u1-u2',NULL),(189,27,9,'Testing Hypotheses Concerning Variances',NULL),(190,27,10,'Power of Test and the Neyman-Pearson Lemma',NULL),(191,27,11,'Likelihood Ration Test',NULL),(192,27,12,'Summary',NULL),(193,28,-1,'',NULL),(194,28,1,'Introduction',NULL),(195,28,2,'Linear Statistical Models',NULL),(196,28,3,'The Method of Least Squares',NULL),(197,28,4,'Properties of the Least Squares Estimators for the Simple Linear Regression Model',NULL),(198,28,5,'Inference Concerning the Parameters BI',NULL),(199,28,6,'Inferences Concerning Linear Functions of the Model Parameters: Simple Linear Regression',NULL),(200,28,7,'Predicting a Particular Value of Y Using Simple Linear Regression',NULL),(201,28,8,'Correlation',NULL),(202,28,9,'Some Practical Examples',NULL),(203,28,10,'Fitting the Linear Model by Using Matrices',NULL),(204,28,11,'Properties of the Least Squares Estimators for the Multiple Linear Regression Model',NULL),(205,28,12,'Inferences Concerning Linear Functions of the Model Parameters: Multiple Linear Regression',NULL),(206,28,13,'Prediction a Particular Value of Y Using Multiple Regression',NULL),(207,28,14,'A Test for H0: Bg+1 + Bg+2 = ? = Bk = 0',NULL),(208,28,15,'Summary and Concluding Remarks',NULL),(209,29,-1,'',NULL),(210,29,1,'The Elements Affecting the Information in a Sample',NULL),(211,29,2,'Designing Experiment to Increase Accuracy',NULL),(212,29,3,'The Matched Pairs Experiment',NULL),(213,29,4,'Some Elementary Experimental Designs',NULL),(214,29,5,'Summary',NULL),(215,30,-1,'',NULL),(216,30,1,'Introduction',NULL),(217,30,2,'The Analysis of Variance Procedure',NULL),(218,30,3,'Comparison of More than Two Means: Analysis of Variance for a One-way Layout',NULL),(219,30,4,'An Analysis of Variance Table for a One-Way Layout',NULL),(220,30,5,'A Statistical Model of the One-Way Layout',NULL),(221,30,6,'Proof of Additivity of the Sums of Squares and E (MST) for a One-Way Layout',NULL),(222,30,7,'Estimation in the One-Way Layout',NULL),(223,30,8,'A Statistical Model for the Randomized Block Design',NULL),(224,30,9,'The Analysis of Variance for a Randomized Block Design',NULL),(225,30,10,'Estimation in the Randomized Block Design',NULL),(226,30,11,'Selecting the Sample Size',NULL),(227,30,12,'Simultaneous Confidence Intervals for More than One Parameter',NULL),(228,30,13,'Analysis of Variance Using Linear Models',NULL),(229,30,14,'Summary',NULL),(230,31,-1,'',NULL),(231,31,1,'A Description of the Experiment',NULL),(232,31,2,'The Chi-Square Test',NULL),(233,31,3,'A Test of Hypothesis Concerning Specified Cell Probabilities: A Goodness-of-Fit Test',NULL),(234,31,4,'Contingency Tables',NULL),(235,31,5,'r x c Tables with Fixed Row or Column Totals',NULL),(236,31,6,'Other Applications',NULL),(237,31,7,'Summary and Concluding Remarks',NULL),(238,32,-1,'',NULL),(239,32,1,'Introduction',NULL),(240,32,2,'A General Two-Sampling Shift Model',NULL),(241,32,3,'A Sign Test for a Matched Pairs Experiment',NULL),(242,32,4,'The Wilcoxon Signed-Rank Test for a Matched Pairs Experiment',NULL),(243,32,5,'The Use of Ranks for Comparing Two Population Distributions: Independent Random Samples',NULL),(244,32,6,'The Mann-Whitney U Test: Independent Random Samples',NULL),(245,32,7,'The Kruskal-Wallis Test for One-Way Layout',NULL),(246,32,8,'The Friedman Test for Randomized Block Designs',NULL),(247,32,9,'The Runs Test: A Test for Randomness',NULL),(248,32,10,'Rank Correlation Coefficient',NULL),(249,32,11,'Some General Comments on Nonparametric Statistical Test',NULL),(250,33,-1,'',NULL),(251,33,1,'Appendix 1.1: Matrices and Matrix Algebra',NULL),(252,33,2,'Appendix 1.2: Addition of Matrices',NULL),(253,33,3,'Appendix 1.3: Multiplication of a Matrix by a Real Number',NULL),(254,33,4,'Appendix 1.4: Matrix Multiplication',NULL),(255,33,5,'Appendix 1.5: Identity Elements',NULL),(256,33,6,'Appendix 1.6: The Inverse of a Matrix',NULL),(257,33,7,'Appendix 1.7: The Transpose of a Matrix',NULL),(258,33,8,'Appendix 1.8: A Matrix Expression for a System of Simultaneous Linear Equations',NULL),(259,33,9,'Appendix 1.9: Inverting a Matrix',NULL),(260,33,10,'Appendix 1.10: Solving a System of Simultaneous Linear Equations',NULL),(261,33,11,'Appendix 1.11: Other Useful Mathematical Results',NULL),(262,34,-1,'',NULL),(263,34,1,'Appendix 2.1: Discrete Distributions',NULL),(264,34,2,'Appendix 2.2: Continuous Distributions.',NULL),(265,35,-1,'',NULL),(266,35,1,'Appendix 3.1: Binomial Probabilities',NULL),(267,35,2,'Appendix 3.2: Table of e-x',NULL),(268,35,3,'Appendix 3.3: Poisson Probabilities',NULL),(269,35,4,'Appendix 3.4: Normal Curve Areas',NULL),(270,35,5,'Appendix 3.5: Percentage Points of the t Distributions',NULL),(271,35,6,'Appendix 3.6: Percentage Points of the F Distributions',NULL),(272,35,7,'Appendix 3.7: Distribution of Function U',NULL),(273,35,8,'Appendix 3.8: Critical Values of T in the Wilcoxon Matched-Pairs, Signed-Ranks Test',NULL),(274,35,9,'Appendix 3.9: Distribution of the Total Number of Runs R in Sample Size (n1,n2); P(R < a)',NULL),(275,35,10,'Appendix 3.10: Critical Values of Pearman\'s Rank Correlation Coefficient',NULL),(276,35,11,'Appendix 3.11: Random Numbers',NULL),(277,36,-1,'',NULL),(278,36,1,'Four Ways to Represent a Function',NULL),(279,36,2,'Mathematical Models: A Catalog of Essential Functions',NULL),(280,36,3,'New Functions from Old Functions',NULL),(281,36,4,'Graphing Calculators and Computers',NULL),(282,37,-1,'',NULL),(283,37,1,'The Tangent and Velocity Problems',NULL),(284,37,2,'The Limit of a Function',NULL),(285,37,3,'Calculating Limits Using the Limit Laws',NULL),(286,37,4,'The Precise Definition of a Limit',NULL),(287,37,5,'Continuity',NULL),(288,37,6,'Tangents, Velocities, and Other Rates of Change',NULL),(289,38,-1,'',NULL),(290,38,1,'Derivatives',NULL),(291,38,2,'The Derivative as a Function',NULL),(292,38,3,'Differentiation Formulas',NULL),(293,38,4,'Rates of Change in the Natural and Social Sciences',NULL),(294,38,5,'Derivatives of Trigonometric Functions',NULL),(295,38,6,'The Chain Rule',NULL),(296,38,7,'Implicit Differentiation',NULL),(297,38,8,'Higher Derivatives',NULL),(298,38,9,'Related Rates',NULL),(299,38,10,'Linear Approximations and Differentials',NULL),(300,39,-1,'',NULL),(301,39,1,'Maximum and Minimum Values',NULL),(302,39,2,'The Mean Value Theorem',NULL),(303,39,3,'How Derivatives Affect the Shape of a Graph',NULL),(304,39,4,'Limits at Infinity; Horizontal Asymptotes',NULL),(305,39,5,'Summary of Curve Sketching',NULL),(306,39,6,'Graphing with Calculus and Calculators',NULL),(307,39,7,'Optimization Problems',NULL),(308,39,8,'Applications to Business and Economics',NULL),(309,39,9,'Newton\'s Method',NULL),(310,39,10,'Antiderivatives',NULL),(311,40,-1,'',NULL),(312,40,1,'Areas and Distances',NULL),(313,40,2,'The Definite Integral',NULL),(314,40,3,'The Fundamental Theorem of Calculus',NULL),(315,40,4,'Indefinite Integrals and the Net Change Theorem',NULL),(316,40,5,'The Substitution Rule',NULL),(317,41,-1,'',NULL),(318,41,1,'Areas between Curves',NULL),(319,41,2,'Volumes',NULL),(320,41,3,'Volumes by Cylindrical Shells',NULL),(321,41,4,'Work',NULL),(322,41,5,'Average Value of a Function',NULL),(323,42,-1,'',NULL),(324,42,1,'Inverse Functions',NULL),(325,42,2,'Exponential Functions and Their Derivatives',NULL),(326,42,3,'Logarithmic Functions',NULL),(327,42,4,'Derivatives of Logarithmic Functions',NULL),(328,42,5,'Inverse Trigonometric Functions',NULL),(329,42,6,'Hyperbolic Functions',NULL),(330,42,7,'Indeterminate Forms and L\'Hospital\'s Rule',NULL),(331,43,-1,'',NULL),(332,43,1,'Integration by Parts',NULL),(333,43,2,'Trigonometric Integrals',NULL),(334,43,3,'Trigonometric Substitution',NULL),(335,43,4,'Integration of Rational Functions by Partial Fractions',NULL),(336,43,5,'Strategy for Integration',NULL),(337,43,6,'Integration Using Tables and Computer Algebra Systems',NULL),(338,43,7,'Approximate Integration',NULL),(339,43,8,'Improper Integrals',NULL),(340,44,-1,'',NULL),(341,44,1,'Arc Length',NULL),(342,44,2,'Area of a Surface of Revolution',NULL),(343,44,3,'Applications to Physics and Engineering',NULL),(344,44,4,'Applications to Economics and Biology',NULL),(345,44,5,'Probability',NULL),(346,45,-1,'',NULL),(347,45,1,'Modeling with Differential Equations',NULL),(348,45,2,'Direction Fields and Euler\'s Method',NULL),(349,45,3,'Separable Equations',NULL),(350,45,4,'Exponential Growth and Decay',NULL),(351,45,5,'The Logistic Equation',NULL),(352,45,6,'Linear Equations',NULL),(353,45,7,'Predator-Prey Systems',NULL),(354,46,-1,'',NULL),(355,46,1,'Curves Defined by Parametric Equations',NULL),(356,46,2,'Calculus with Parametric Curves',NULL),(357,46,3,'Polar Coordinates',NULL),(358,46,4,'Areas and Lengths in Polar Coordinates',NULL),(359,46,5,'Conic Sections',NULL),(360,46,6,'Conic Sections in Polar Coordinates',NULL),(361,47,-1,'',NULL),(362,47,1,'Sequences',NULL),(363,47,2,'Series',NULL),(364,47,3,'The Integral Test and Estimates of Sums',NULL),(365,47,4,'The Comparison Tests',NULL),(366,47,5,'Alternating Series',NULL),(367,47,6,'Absolute Convergence and the Ratio and Root Tests',NULL),(368,47,7,'Strategy for Testing Series',NULL),(369,47,8,'Power Series',NULL),(370,47,9,'Representations of Functions as Power Series',NULL),(371,47,10,'Taylor and Maclaurin Series',NULL),(372,47,11,'The Binomial Series',NULL),(373,47,12,'Applications of Taylor Polynomials',NULL),(374,48,-1,'',NULL),(375,48,1,'Three-Dimensional Coordinate Systems',NULL),(376,48,2,'Vectors',NULL),(377,48,3,'The Dot Product',NULL),(378,48,4,'The Cross Product',NULL),(379,48,5,'Equations of Lines and Planes',NULL),(380,48,6,'Cylinders and Quadric Surfaces',NULL),(381,48,7,'Cylindrical and Spherical Coordinates',NULL),(382,49,-1,'',NULL),(383,49,1,'Vector Functions and Space Curves',NULL),(384,49,2,'Derivatives and Integrals of Vector Functions',NULL),(385,49,3,'Arc Length and Curvature',NULL),(386,49,4,'Motion in Space: Velocity and Acceleration',NULL),(387,50,-1,'',NULL),(388,50,1,'Functions of Several Variables',NULL),(389,50,2,'Limits and Continuity',NULL),(390,50,3,'Partial Derivatives',NULL),(391,50,4,'Tangent Planes and Linear Approximations',NULL),(392,50,5,'The Chain Rule',NULL),(393,50,6,'Directional Derivatives and the Gradient Vector',NULL),(394,50,7,'Maximum and Minimum Values',NULL),(395,50,8,'Lagrange Multipliers',NULL),(396,51,-1,'',NULL),(397,51,1,'Double Integrals over Rectangles',NULL),(398,51,2,'Iterated Integrals',NULL),(399,51,3,'Double Integrals over General Regions',NULL),(400,51,4,'Double Integrals in Polar Coordinates',NULL),(401,51,5,'Applications of Double Integrals',NULL),(402,51,6,'Surface Area',NULL),(403,51,7,'Triple Integrals',NULL),(404,51,8,'Triple Integrals in Cylindrical and Spherical Coordinates',NULL),(405,51,9,'Change of Variables in Multiple Integrals',NULL),(406,52,-1,'',NULL),(407,52,1,'Vector Fields',NULL),(408,52,2,'Line Integrals',NULL),(409,52,3,'The Fundamental Theorem for Line Integrals',NULL),(410,52,4,'Green\'s Theorem',NULL),(411,52,5,'Curl and Divergence',NULL),(412,52,6,'Parametric Surfaces and Their Areas',NULL),(413,52,7,'Surface Integrals',NULL),(414,52,8,'Stokes\' Theorem',NULL),(415,52,9,'The Divergence Theorem',NULL),(416,52,10,'Summary',NULL),(417,53,-1,'',NULL),(418,53,1,'Second-Order Linear Equations',NULL),(419,53,2,'Nonhomogeneous Linear Equations',NULL),(420,53,3,'Applications of Second- Order Differential Equations',NULL),(421,53,4,'Series Solutions',NULL),(422,54,-1,'',NULL),(423,55,-1,'',NULL),(424,55,1,'Modeling the Real World',NULL),(425,55,2,'Real Numbers',NULL),(426,55,3,'Integer Exponents',NULL),(427,55,4,'Rational Exponents and Radicals',NULL),(428,55,5,'Algebraic Expressions',NULL),(429,55,6,'Factoring',NULL),(430,55,7,'Rational Expressions',NULL),(431,56,-1,'',NULL),(432,56,1,'Basic Equations',NULL),(433,56,2,'Modeling with Equations',NULL),(434,56,3,'Quadratic Equations',NULL),(435,56,4,'Complex Numbers',NULL),(436,56,5,'Other Types of Equations',NULL),(437,56,6,'Inequalities',NULL),(438,56,7,'Absolute Value Equations and Inequalities',NULL),(439,57,-1,'',NULL),(440,57,1,'The Coordinate Plane',NULL),(441,57,2,'Graphs of Equations in Two Variables',NULL),(442,57,3,'Graphing Calculators; Solving Equations and Inequalitie Graphically',NULL),(443,57,4,'Lines',NULL),(444,57,5,'Modeling: Variation',NULL),(445,58,-1,'',NULL),(446,58,1,'What Is a Function?',NULL),(447,58,2,'Graphs of Functions',NULL),(448,58,3,'Increasing and Decreasing Functions; Average Rate of Change',NULL),(449,58,4,'Transformations of Functions',NULL),(450,58,5,'Quadratic Functions; Maxima and Minima',NULL),(451,58,6,'Combining Functions',NULL),(452,58,7,'One-to-One Functions and Their Inverses',NULL),(453,59,-1,'',NULL),(454,59,1,'Polynomial Functions and Their Graphs',NULL),(455,59,2,'Dividing Polynomials',NULL),(456,59,3,'Real Zeros of Polynomials',NULL),(457,59,4,'Complex Zeros and the Fundamental Theorem of Algebra',NULL),(458,59,5,'Rational Functions',NULL),(459,60,-1,'',NULL),(460,60,1,'Exponential Functions',NULL),(461,60,2,'Logarithmic Functions',NULL),(462,60,3,'Laws of Logarithms',NULL),(463,60,4,'Exponential and Logarithmic Equations',NULL),(464,60,5,'Modeling with Exponential and Logarithmic Functions',NULL),(465,61,-1,'',NULL),(466,61,1,'Systems of Equations',NULL),(467,61,2,'Systems of Linear Equations in Two Variables',NULL),(468,61,3,'Systems of Linear Equations in Several Variables',NULL),(469,61,4,'Systems of Inequalities',NULL),(470,61,5,'Partial Fractions',NULL),(471,62,-1,'',NULL),(472,62,1,'Matrices and Systems of Linear Equations',NULL),(473,62,2,'The Algebra of Matrices',NULL),(474,62,3,'Inverses of Matrices and Matrix Equations',NULL),(475,62,4,'Determinants and Cramer\'s Rule',NULL),(476,63,-1,'',NULL),(477,63,1,'Parabolas',NULL),(478,63,2,'Ellipses',NULL),(479,63,3,'Hyperbolas',NULL),(480,63,4,'Shifted Conics',NULL),(481,64,-1,'',NULL),(482,64,1,'Sequences and Summation Notation',NULL),(483,64,2,'Arithmetic Sequences',NULL),(484,64,3,'Geometric Sequences',NULL),(485,64,4,'Mathematics of Finance',NULL),(486,64,5,'Mathematical Induction',NULL),(487,64,6,'The Binomial Theorem',NULL),(488,65,-1,'',NULL),(489,65,1,'Counting Principles',NULL),(490,65,2,'Permutations and Combinations',NULL),(491,65,3,'Probability',NULL),(492,65,4,'Binomial Probability',NULL),(493,65,5,'Expected Value',NULL),(494,66,-1,'',NULL),(495,66,1,'Key Statistical Concepts',NULL),(496,66,2,'Statistical Applications in Business',NULL),(497,66,3,'Statistics and the Computer',NULL),(498,66,4,'World Wide Web and Learning Center',NULL),(499,67,-1,'',NULL),(500,67,1,'Types of Data and Information',NULL),(501,67,2,'Graphical and Tabular Techniques for Nominal Data',NULL),(502,67,3,'Graphical Techniques for Interval Data',NULL),(503,67,4,'Describing the relationship Between Two Variables',NULL),(504,67,5,'Describing Time-Series Data',NULL),(505,68,-1,'',NULL),(506,68,1,'Graphical Excellence',NULL),(507,68,2,'Graphical Deception',NULL),(508,68,3,'Presenting Statistics: Written Reports and Oral Presentations',NULL),(509,69,-1,'',NULL),(510,69,1,'Measures of Central Location',NULL),(511,69,2,'Measures of Variability',NULL),(512,69,3,'Measures of Relative Standing and Box Plots',NULL),(513,69,4,'Measures of Linear Relationship',NULL),(514,69,5,'Applications in Professional Sports: Baseball',NULL),(515,69,6,'Comparing Graphical and Numerical Techniques',NULL),(516,69,7,'General Guidelines for Exploring Data',NULL),(517,70,-1,'',NULL),(518,70,1,'Methods of Collecting Data',NULL),(519,70,2,'Sampling',NULL),(520,70,3,'Sampling Plans',NULL),(521,70,4,'Sampling and Nonsampling Errors',NULL),(522,71,-1,'',NULL),(523,71,1,'Assigning Probability to Events',NULL),(524,71,2,'Joint, Marginal, and Conditional Probability',NULL),(525,71,3,'Probability Rules and Trees',NULL),(526,71,4,'Bayes\' Law',NULL),(527,71,5,'Identifying the Correct Method',NULL),(528,72,-1,'',NULL),(529,72,1,'Random Variables and Probability Distributions',NULL),(530,72,2,'Bivariate Distributions',NULL),(531,72,3,'Applications in Finance: Portfolio Diversification and Asset Allocation',NULL),(532,72,4,'Binomial Distribution',NULL),(533,72,5,'Poisson Distribution',NULL),(534,73,-1,'',NULL),(535,73,1,'Probability Density Functions',NULL),(536,73,2,'Normal Distribution',NULL),(537,73,3,'Exponential Distribution',NULL),(538,73,4,'Other Continuous Distributions',NULL),(539,74,-1,'',NULL),(540,74,1,'Sampling Distribution of the Mean',NULL),(541,74,2,'Sampling Distribution of a Proportion',NULL),(542,74,3,'Sampling Distribution of the Difference Between Two Means',NULL),(543,74,4,'From Here to Inference',NULL),(544,75,-1,'',NULL),(545,75,1,'Concepts of Estimation',NULL),(546,75,2,'Estimating the Population Mean When the Population Standard Deviation is Known',NULL),(547,75,3,'Selecting the Sample Size',NULL),(548,76,-1,'',NULL),(549,76,1,'Concepts of Hypothesis Testing',NULL),(550,76,2,'Testing the Population Mean When the Population Standard Deviation is Known',NULL),(551,76,3,'Calculating the Probability of a Type II Error',NULL),(552,76,4,'The Road Ahead',NULL),(553,77,-1,'',NULL),(554,77,1,'Inference About a Population Mean When the Standard Deviation is Unknown',NULL),(555,77,2,'Inference about a Population Variance',NULL),(556,77,3,'inference about a Population Proportion',NULL),(557,77,4,'Applications in Marketing: Market Segmentation',NULL),(558,77,5,'Applications in Marketing: Auditing',NULL),(559,78,-1,'',NULL),(560,78,1,'Inference about the Difference Between Two Means: Independent Samples',NULL),(561,78,2,'Observational and Experimental Data',NULL),(562,78,3,'Inference about the Difference Between Two Means: Matched Pairs Experiment',NULL),(563,78,4,'Inference about the Ratio of Two Variances',NULL),(564,78,5,'Inference about the Difference Between Two Population Proportions',NULL),(565,79,-1,'',NULL),(566,79,1,'Guide to Identifying the Correct Technique: Chapters 12 and 13',NULL),(567,80,-1,'',NULL),(568,80,1,'One-Way Analysis of Variance',NULL),(569,80,2,'Analysis of Variance Experimental Designs',NULL),(570,80,3,'Randomized Blocks (Two-Way) Analysis of Variance',NULL),(571,80,4,'Two-Factor Analysis of Variance',NULL),(572,80,5,'Appplications in Operations Management: Finding and Reducing Variation',NULL),(573,80,6,'Multiple Comparisons',NULL),(574,81,-1,'',NULL),(575,81,1,'Chi-Squared Goodness-of-Fit Test',NULL),(576,81,2,'Chi-Squared Test of a Contingency Table',NULL),(577,81,3,'Summary of Tests on Nominal Data',NULL),(578,81,4,'Chi-Squared Tests of Normality',NULL),(579,82,-1,'',NULL),(580,82,1,'Model',NULL),(581,82,2,'Estimating the Coefficients',NULL),(582,82,3,'Error Variable: Required Conditions',NULL),(583,82,4,'Assessing the Model',NULL),(584,82,5,'Applications in Finance: Market Model',NULL),(585,82,6,'Using the Regression Equation',NULL),(586,82,7,'Regression Diagnostics-I',NULL),(587,83,-1,'',NULL),(588,83,1,'Model and Required Conditions',NULL),(589,83,2,'Estimating the Coefficients and Assessing the Model',NULL),(590,83,3,'Regression Diagnostics-II',NULL),(591,83,4,'Regression Diagnostics-III (Time Series)',NULL),(592,84,-1,'',NULL),(593,85,-1,'',NULL),(594,86,-1,'',NULL),(595,87,-1,'',NULL),(596,88,-1,'',NULL),(597,89,-1,'',NULL),(598,90,-1,'',NULL),(599,91,-1,'',NULL),(600,92,-1,'',NULL),(601,93,-1,'',NULL),(602,94,-1,'',NULL),(603,95,-1,'',NULL),(604,96,-1,'',NULL),(605,97,-1,'',NULL),(606,98,-1,'',NULL),(607,99,-1,'',NULL),(608,100,-1,'',NULL),(609,101,-1,'',NULL),(610,102,-1,'',NULL),(611,103,-1,'',NULL),(612,104,-1,'',NULL),(613,105,-1,'',NULL),(614,105,1,'Introduction to Systems of Linear Equations',NULL),(615,105,2,'Gaussian Elimination and Gauss-Jordan Elimination',NULL),(616,105,3,'Applications of Systems of Linear Equations',NULL),(617,106,-1,'',NULL),(618,106,1,'Operations with Matrices',NULL),(619,106,2,'Properties of Matrix Operations',NULL),(620,106,3,'The Inverse of a Matrix',NULL),(621,106,4,'Elementary Matrices',NULL),(622,106,5,'Applications of Matrix Operations',NULL),(623,107,-1,'',NULL),(624,107,1,'The Determinant of a Matrix',NULL),(625,107,2,'Evaluation of a Determinant Using Elementary Operations',NULL),(626,107,3,'Properties of Determinants',NULL),(627,107,4,'Introduction to Eigenvalues',NULL),(628,107,5,'Applications of Determinants',NULL),(629,108,-1,'',NULL),(630,108,1,'Vectors in Rn',NULL),(631,108,2,'Vector Spaces',NULL),(632,108,3,'Subspaces of Vector Spaces',NULL),(633,108,4,'Spanning Sets and Linear Independence',NULL),(634,108,5,'Basis and Dimension',NULL),(635,108,6,'Rank of a Matrix and Systems of Linear Equations',NULL),(636,108,7,'Coordinates and Change of Basis',NULL),(637,108,8,'Applications of Vector Spaces',NULL),(638,109,-1,'',NULL),(639,109,1,'Length and Dot Product in Rn',NULL),(640,109,2,'Inner Product Spaces',NULL),(641,109,3,'Orthonormal Bases: Gram-Schmidt Process',NULL),(642,109,4,'Mathematical Models and Least Squares Analysis',NULL),(643,109,5,'Applications of Inner Product Spaces',NULL),(644,110,-1,'',NULL),(645,110,1,'Introduction to Linear Transformations',NULL),(646,110,2,'The Kernel and Range of a Linear Transformation',NULL),(647,110,3,'Matrices for Linear Transformations',NULL),(648,110,4,'Transition Matrices and Similarity',NULL),(649,110,5,'Applications of Linear Transformations',NULL),(650,111,-1,'',NULL),(651,111,1,'Eigenvalues and Eigenvectors',NULL),(652,111,2,'Diagonalization',NULL),(653,111,3,'Symmetric Matrices and Orthogonal Diagonalization',NULL),(654,111,4,'Applications of Eigenvalues and Eigenvectors',NULL),(655,112,-1,'',NULL),(656,112,1,'Complex Numbers',NULL),(657,112,2,'Conjugates and Division of Complex Numbers',NULL),(658,112,3,'Polar Form and DeMoivre\'s Theorem',NULL),(659,112,4,'Complex Vector Spaces and Inner Products',NULL),(660,112,5,'Unitary and Hermitian Matrices',NULL),(661,113,-1,'',NULL),(662,113,1,'Systems of Linear Inequalities',NULL),(663,113,2,'Linear Programming Involving Two Variables',NULL),(664,113,3,'The Simplex Method: Maximization',NULL),(665,113,4,'The Simplex Method: Minimization',NULL),(666,113,5,'The Simplex Method: Mixed Constraints',NULL),(667,114,-1,'',NULL),(668,114,1,'Gaussian Elimination with Partial Pivoting',NULL),(669,114,2,'Interative Methods for Solving Linear Systems',NULL),(670,114,3,'Power Method for Approximating Eigenvalues',NULL),(671,114,4,'Applications of Numerical Methods',NULL),(672,115,-1,'',NULL),(673,116,-1,'',NULL),(674,117,-1,'',NULL),(675,117,1,'Vectors in the Plane and Space',NULL),(676,117,2,'The Inner Product and Distance',NULL),(677,117,3,'2 x 2 and 3 x 3 Matrices and Determinants',NULL),(678,117,4,'The Cross Product and Planes',NULL),(679,117,5,'n-Dimensional Euclidean Space',NULL),(680,117,6,'Curves in the Plane and in Space',NULL),(681,118,-1,'',NULL),(682,118,1,'Graphs and Level Surfaces',NULL),(683,118,2,'Partial Derivatives and Continuity',NULL),(684,118,3,'Differentiability, the Derivative Matrix, and Tangent Planes',NULL),(685,118,4,'The Chain Rule',NULL),(686,118,5,'Gradients and Directional Derivatives',NULL),(687,118,6,'Implicit Differentiation',NULL),(688,119,-1,'',NULL),(689,119,1,'Higher Order Partial Derivatives',NULL),(690,119,2,'Taylor\'s Theorem',NULL),(691,119,3,'Maxima and Minima',NULL),(692,119,4,'Second Derivative Test',NULL),(693,119,5,'Constrained Extrema and Lagrange Multipliers',NULL),(694,120,-1,'',NULL),(695,120,1,'Acceleration',NULL),(696,120,2,'Arc Length',NULL),(697,120,3,'Vector Fields',NULL),(698,120,4,'Divergence and Curl',NULL),(699,121,-1,'',NULL),(700,121,1,'Volume and Cavalieri\'s Principle',NULL),(701,121,2,'The Double Integral Over a Rectangle',NULL),(702,121,3,'The Double Integral Over Regions',NULL),(703,121,4,'Triple Integrals',NULL),(704,121,5,'Change of Variables, Cylindrical and Spherical Coordinates',NULL),(705,121,6,'Applications of Multiple Integrals',NULL),(706,122,-1,'',NULL),(707,122,1,'Line Integrals',NULL),(708,122,2,'Parametrized Surfaces',NULL),(709,122,3,'Area of a Surface',NULL),(710,122,4,'Surface Integrals',NULL),(711,123,-1,'',NULL),(712,123,1,'Green\'s Theorem',NULL),(713,123,2,'Stokes\' Theorem',NULL),(714,123,3,'Gauss\' Theorem',NULL),(715,123,4,'Path Independence and the Fundamental Theorems of Calculus',NULL),(716,124,-1,'',NULL),(717,124,1,'Real Numbers',NULL),(718,124,2,'Exponents and Radicals',NULL),(719,124,3,'Algebraic Expressions',NULL),(720,124,4,'Rational Expression',NULL),(721,124,5,'Equations',NULL),(722,124,6,'Modeling with Equations',NULL),(723,124,7,'Inequalities',NULL),(724,124,8,'Coordinate Geometry',NULL),(725,124,9,'Graphing Calculators; Solving Equations and Inequalities Graphically',NULL),(726,124,10,'Lines',NULL),(727,124,11,'Modeling Variation',NULL),(728,125,-1,'',NULL),(729,125,1,'What is a Function?',NULL),(730,125,2,'Graphs of Functions',NULL),(731,125,3,'Increasing and Decreasing Functions; Average Rate of Change',NULL),(732,125,4,'Transformations of Functions',NULL),(733,125,5,'Quadratic Functions; Maxima and Minima',NULL),(734,125,6,'Modeling with Functions',NULL),(735,125,7,'Combining Functions',NULL),(736,125,8,'One-to-One Functions and Their Inverses',NULL),(737,126,-1,'',NULL),(738,126,1,'Polynomial Functions and Their Graphs',NULL),(739,126,2,'Dividing Polynomials',NULL),(740,126,3,'Real Zeros of Polynomials',NULL),(741,126,4,'Complex Numbers',NULL),(742,126,5,'Complex Zeros and the Fundamental Theorem of Algebra',NULL),(743,126,6,'Rational Functions',NULL),(744,127,-1,'',NULL),(745,127,1,'Exponential Functions',NULL),(746,127,2,'Logarithmic Functions',NULL),(747,127,3,'Laws of Logarithms',NULL),(748,127,4,'Exponential and Logarithmic Equations',NULL),(749,127,5,'Modeling with Exponential and Logarithmic Functions',NULL),(750,128,-1,'',NULL),(751,128,1,'The Unit Circle',NULL),(752,128,2,'Trigonometric Functions of Real Numbers',NULL),(753,128,3,'Trigonometric Graphs',NULL),(754,128,4,'More Trigonometric Graphs',NULL),(755,128,5,'Modeling Harmonic Motion',NULL),(756,129,-1,'',NULL),(757,129,1,'Angle Measures',NULL),(758,129,2,'Trigonometry of Right Triangles',NULL),(759,129,3,'Trigonometric Functions of Angles',NULL),(760,129,4,'The Law of Sines',NULL),(761,129,5,'The Law of Cosines',NULL),(762,130,-1,'',NULL),(763,130,1,'Trigonometric Identities',NULL),(764,130,2,'Addition and Subtraction Formulas',NULL),(765,130,3,'Double-Angle, Half-Angle, and Sum-Product Formulas',NULL),(766,130,4,'Inverse Trigonometric Functions',NULL),(767,130,5,'Trigonometric Equations',NULL),(768,131,-1,'',NULL),(769,131,1,'Polar Coordinates',NULL),(770,131,2,'Graphs of Polar Equations',NULL),(771,131,3,'Polar Form of Complex Numbers; DeMoivre\'s Theorem',NULL),(772,131,4,'Vectors',NULL),(773,131,5,'The Dot Product',NULL),(774,132,-1,'',NULL),(775,132,1,'Systems of Equations',NULL),(776,132,2,'Systems of Linear Equations in Two Variables',NULL),(777,132,3,'Systems of Linear Equations in Several Variables',NULL),(778,132,4,'Systems of Linear Equations: Matrices',NULL),(779,132,5,'The Algebra of Matrices',NULL),(780,132,6,'Inverses of Matrices and Matrix Equations',NULL),(781,132,7,'Determinants and Cramer\'s Rule',NULL),(782,132,8,'Partial Fractions',NULL),(783,132,9,'Systems of Inequalities',NULL),(784,133,-1,'',NULL),(785,133,1,'Parabolas',NULL),(786,133,2,'Ellipses',NULL),(787,133,3,'Hyperbolas',NULL),(788,133,4,'Shifted Conics',NULL),(789,133,5,'Rotation of Axes',NULL),(790,133,6,'Polar Equations of Conics',NULL),(791,133,7,'Plane Curves and Parametric Equations',NULL),(792,134,-1,'',NULL),(793,134,1,'Sequences and Summation Notation',NULL),(794,134,2,'Arithmetic Sequences',NULL),(795,134,3,'Geometric Sequences',NULL),(796,134,4,'Mathematics of Finance',NULL),(797,134,5,'Mathematical Induction',NULL),(798,134,6,'The Binomial Theorem',NULL),(799,135,-1,'',NULL),(800,135,1,'Finding Limits Numerically and Graphically',NULL),(801,135,2,'Finding Limits Algebraically',NULL),(802,135,3,'Tangent Lines and Derivatives',NULL),(803,135,4,'Limits at Infinity: Limits of Sequences',NULL),(804,135,5,'Areas',NULL),(805,136,-1,'',NULL),(806,136,1,'Logic',NULL),(807,136,2,'Propositional Equivalences',NULL),(808,136,3,'Predicates and Quantifiers',NULL),(809,136,4,'Sets',NULL),(810,136,5,'Set Operations',NULL),(811,136,6,'Functions',NULL),(812,136,7,'Sequences and Summations',NULL),(813,136,8,'The Growth Functions',NULL),(814,137,-1,'',NULL),(815,137,1,'Algorithms',NULL),(816,137,2,'Complexity of Algorithms',NULL),(817,137,3,'The Integers and Division',NULL),(818,137,4,'Integers and Algorithms',NULL),(819,137,5,'Applications of Number Theory',NULL),(820,137,6,'Matrices',NULL),(821,138,-1,'',NULL),(822,138,1,'Methods of Proof',NULL),(823,138,2,'Mathematical Induction',NULL),(824,138,3,'Recursive Definitions',NULL),(825,138,4,'Recursive Algorithms',NULL),(826,138,5,'Program Correctness',NULL),(827,139,-1,'',NULL),(828,139,1,'The Basics of Counting',NULL),(829,139,2,'The Pigeonhole Principle',NULL),(830,139,3,'Permutations and Combinations',NULL),(831,139,4,'Discrete Probability',NULL),(832,139,5,'Probability Theory',NULL),(833,139,6,'Generalized Permutations and Combinations',NULL),(834,139,7,'Generating Permutations and Combinations',NULL),(835,140,-1,'',NULL),(836,140,1,'Recurrence Relations',NULL),(837,140,2,'Solving Recurrence Relations',NULL),(838,140,3,'Divide-and-Conquer Relations',NULL),(839,140,4,'Generating Functions',NULL),(840,140,5,'Inclusion-Exclusion',NULL),(841,140,6,'Applications of Inclusion-Exclusion',NULL),(842,141,-1,'',NULL),(843,141,1,'Relations and Their Properties',NULL),(844,141,2,'n-ary Relations and Their Applications',NULL),(845,141,3,'Representing Relations',NULL),(846,141,4,'Closures of Relations',NULL),(847,141,5,'Equivalence Relations',NULL),(848,141,6,'Partial Orderings',NULL),(849,142,-1,'',NULL),(850,142,1,'Introduction to Graphs',NULL),(851,142,2,'Graph Terminology',NULL),(852,142,3,'Representing Graphs and Graph Isomorphism',NULL),(853,142,4,'Connectivity',NULL),(854,142,5,'Euler and Hamilton Paths',NULL),(855,142,6,'Shortest Path Problems',NULL),(856,142,7,'Planar Graphs',NULL),(857,142,8,'Graph Coloring',NULL),(858,143,-1,'',NULL),(859,143,1,'Introduction to Trees',NULL),(860,143,2,'Applications of Trees',NULL),(861,143,3,'Tree Traversal',NULL),(862,143,4,'Trees and Sorting',NULL),(863,143,5,'Spanning Trees',NULL),(864,143,6,'Minimum Spanning Trees',NULL),(865,144,-1,'',NULL),(866,144,1,'Boolean Functions',NULL),(867,144,2,'Representing Boolean Functions',NULL),(868,144,3,'Logic Gates',NULL),(869,144,4,'Minimization of Circuits',NULL),(870,145,-1,'',NULL),(871,145,1,'Languages and Grammars',NULL),(872,145,2,'Finite-State Machines with Output',NULL),(873,145,3,'Finite-State Machines with No Output',NULL),(874,145,4,'Language Recognition',NULL),(875,145,5,'Turing Machines',NULL),(876,146,-1,'',NULL),(877,147,-1,'',NULL),(878,148,-1,'',NULL),(879,148,1,'The Algebra of Complex Numbers',NULL),(880,148,2,'Point Representation of Complex Numbers',NULL),(881,148,3,'Vectors and Polar Forms',NULL),(882,148,4,'The Complex Exponential',NULL),(883,148,5,'Powers and Roots',NULL),(884,148,6,'Planar Sets',NULL),(885,148,7,'The Riemann Sphere and Stereographic Projection',NULL),(886,149,-1,'',NULL),(887,149,1,'Functions of a Complex Variable',NULL),(888,149,2,'Limits and Continuity',NULL),(889,149,3,'Analyticity',NULL),(890,149,4,'The Cauchy-Riemann Equations',NULL),(891,149,5,'Harmonic Functions',NULL),(892,149,6,'Steady-State Temperature as a Harmonic Function',NULL),(893,149,7,'Iterated Maps: Julia and Mandelbrot Sets',NULL),(894,150,-1,'',NULL),(895,150,1,'Polynomials and Rational Functions',NULL),(896,150,2,'The Exponential, Trigonometric, and Hyperbolic Functions',NULL),(897,150,3,'The Logarithmic Function',NULL),(898,150,4,'Washers, Wedges, and Walls',NULL),(899,150,5,'Complex Powers and Inverse Trigonometric Functions',NULL),(900,150,6,'Application to Oscillating Systems',NULL),(901,151,-1,'',NULL),(902,151,1,'Contours',NULL),(903,151,2,'Contour Integrals',NULL),(904,151,3,'Independence of Path',NULL),(905,151,4,'Cauchy\'s Integral Theorem',NULL),(906,151,5,'Deformation of Contours Approach',NULL),(907,151,6,'Vector Analysis Approach',NULL),(908,151,7,'Cauchy\'s Integral Formula and Its Consequences',NULL),(909,151,8,'Bounds for Analytic Functions',NULL),(910,151,9,'Applications to Harmonic Functions',NULL),(911,152,-1,'',NULL),(912,152,1,'Sequences and Series',NULL),(913,152,2,'Taylor Series',NULL),(914,152,3,'Power Series',NULL),(915,152,4,'Mathematical Theory of Convergence',NULL),(916,152,5,'Laurent Series',NULL),(917,152,6,'Zeros and Singularities',NULL),(918,152,7,'The Point at Infinity',NULL),(919,152,8,'Analytic Continuation',NULL),(920,153,-1,'',NULL),(921,153,1,'The Residue Theorem',NULL),(922,153,2,'Trigonometric Integrals',NULL),(923,153,3,'Improper Integrals of Certain Functions',NULL),(924,153,4,'Improper Integrals Involving Trigonometric Functions',NULL),(925,153,5,'Indented Contours',NULL),(926,153,6,'Integrals Involving Multiple-Valued Functions',NULL),(927,153,7,'The Argument Principle and Rouche\'s Theorem',NULL),(928,154,-1,'',NULL),(929,154,1,'Invariance of Laplace\'s Equation',NULL),(930,154,2,'Geometric Considerations',NULL),(931,154,3,'Mobius Transformations',NULL),(932,154,4,'Mobius Transformations, Continued',NULL),(933,154,5,'The Schwarz-Christoffel Transformation',NULL),(934,154,6,'Applications in Electrostatics, Heat Flow, and Fluid Mechanics',NULL),(935,154,7,'Further Physical Applications of Conformal Mapping',NULL),(936,155,-1,'',NULL),(937,155,1,'Fourier Series (The Finite Fourier Transform)',NULL),(938,155,2,'The Fourier Transform',NULL),(939,155,3,'The Laplace Transform',NULL),(940,155,4,'The z-Transform',NULL),(941,155,5,'Cauchy Integrals and the Hilbert Transform',NULL),(942,156,-1,'',NULL),(943,156,1,'The Schwarz-Christoffel Parameter Problem',NULL),(944,156,2,'Examples',NULL),(945,156,3,'Numerical Integration',NULL),(946,156,4,'Conformal Mapping of Smooth Domains',NULL),(947,156,5,'Conformal Mapping Software',NULL),(948,157,-1,'',NULL),(949,157,1,'Mobius Transformations',NULL),(950,157,2,'Other Transformations',NULL),(951,158,-1,'',NULL),(952,158,1,'Four Ways to Represent a Function',NULL),(953,158,2,'Mathematical Models: A Catalog of Essential Functions',NULL),(954,158,3,'New Functions from Old Functions',NULL),(955,158,4,'Graphing Calculators and Computers',NULL),(956,158,5,'Exponential Functions',NULL),(957,158,6,'Inverse Functions and Logarithms',NULL),(958,159,-1,'',NULL),(959,159,1,'The Tangent and Velocity Problems',NULL),(960,159,2,'The Limit of a Function',NULL),(961,159,3,'Calculating Limits Using the Limit Laws',NULL),(962,159,4,'The Precise Definition of a Limit',NULL),(963,159,5,'Continuity',NULL),(964,159,6,'Limits at Infinity; Horizontal Asymptotes',NULL),(965,159,7,'Tangents, Velocities, and Other Rates of Change',NULL),(966,159,8,'Derivatives',NULL),(967,159,9,'The Derivative as a Function',NULL),(968,160,-1,'',NULL),(969,160,1,'Derivatives of Polynomials and Exponential Functions',NULL),(970,160,2,'The Product and Quotient Rules',NULL),(971,160,3,'Rates of Change in the Natural and Social Sciences',NULL),(972,160,4,'Derivatives of Trigonometric Functions',NULL),(973,160,5,'The Chain Rule',NULL),(974,160,6,'Implicit Differentiation',NULL),(975,160,7,'Higher Derivatives',NULL),(976,160,8,'Derivatives of Logarithmic Functions',NULL),(977,160,9,'Hyperbolic Functions',NULL),(978,160,10,'Related Rates',NULL),(979,160,11,'Linear Approximations and Differentials',NULL),(980,161,-1,'',NULL),(981,161,1,'Maximum and Minimum Values',NULL),(982,161,2,'The Mean Value Theorem',NULL),(983,161,3,'How Derivatives Affect the Shape of a Graph',NULL),(984,161,4,'Indeterminate Forms and L\'Hospital\'s Rule',NULL),(985,161,5,'Summary of Curve Sketching',NULL),(986,161,6,'Graphing with Calculus and Calculators',NULL),(987,161,7,'Optimization Problems',NULL),(988,161,8,'Applications to Business and Economics',NULL),(989,161,9,'Newton\'s Method',NULL),(990,161,10,'Antiderivatives',NULL),(991,162,-1,'',NULL),(992,162,1,'Areas and Distances',NULL),(993,162,2,'The Definite Integral',NULL),(994,162,3,'The Fundamental Theorem of Calculus',NULL),(995,162,4,'Indefinite Integrals and the Net Change Theorem',NULL),(996,162,5,'The Substitution Rule',NULL),(997,162,6,'The Logarithm Defined as an Integral',NULL),(998,163,-1,'',NULL),(999,163,1,'Areas between Curves',NULL),(1000,163,2,'Volumes',NULL),(1001,163,3,'Volumes by Cylindrical Shells',NULL),(1002,163,4,'Work',NULL),(1003,163,5,'Average Value of a Function',NULL),(1004,164,-1,'',NULL),(1005,164,1,'Integration by Parts',NULL),(1006,164,2,'Trigonometric Integrals',NULL),(1007,164,3,'Trigonometric Substitution',NULL),(1008,164,4,'Integration of Rational Functions by Partial Fractions',NULL),(1009,164,5,'Strategy for Integration',NULL),(1010,164,6,'Integration Using Tables and Computer Algebra Systems',NULL),(1011,164,7,'Approximate Integration',NULL),(1012,164,8,'Improper Integrals',NULL),(1013,165,-1,'',NULL),(1014,165,1,'Arc Length',NULL),(1015,165,2,'Area of a Surface of Revolution',NULL),(1016,165,3,'Applications to Physics and Engineering',NULL),(1017,165,4,'Applications to Economics and Biology',NULL),(1018,165,5,'Probability',NULL),(1019,166,-1,'',NULL),(1020,166,1,'Modeling with Differential Equations',NULL),(1021,166,2,'Direction Fields and Euler\'s Method',NULL),(1022,166,3,'Separable Equations',NULL),(1023,166,4,'Exponential Growth and Decay',NULL),(1024,166,5,'The Logistic Equation',NULL),(1025,166,6,'Linear Equations',NULL),(1026,166,7,'Predator-Prey Systems',NULL),(1027,167,-1,'',NULL),(1028,167,1,'Curves Defined by Parametric Equations',NULL),(1029,167,2,'Calculus with Parametric Curves',NULL),(1030,167,3,'Polar Coordinates',NULL),(1031,167,4,'Areas and Lengths in Polar Coordinates',NULL),(1032,167,5,'Conic Sections',NULL),(1033,167,6,'Conic Sections in Polar Coordinates',NULL),(1034,168,-1,'',NULL),(1035,168,1,'Sequences',NULL),(1036,168,2,'Series',NULL),(1037,168,3,'The Integral Test and Estimates of Sums',NULL),(1038,168,4,'The Comparison Tests',NULL),(1039,168,5,'Alternating Series',NULL),(1040,168,6,'Absolute Convergence and the Ratio and Root Tests',NULL),(1041,168,7,'Strategy for Testing Series',NULL),(1042,168,8,'Power Series',NULL),(1043,168,9,'Representations of Functions as Power Series',NULL),(1044,168,10,'Taylor and Maclaurin Series',NULL),(1045,168,11,'The Binomial Series',NULL),(1046,168,12,'Applications of Taylor Polynomials',NULL),(1047,169,-1,'',NULL),(1048,169,1,'Three-Dimensional Coordinate Systems',NULL),(1049,169,2,'Vectors',NULL),(1050,169,3,'The Dot Product',NULL),(1051,169,4,'The Cross Product',NULL),(1052,169,5,'Equations of Lines and Planes',NULL),(1053,169,6,'Cylinders and Quadric Surfaces',NULL),(1054,169,7,'Cylindrical and Spherical Coordinates',NULL),(1055,170,-1,'',NULL),(1056,170,1,'Vector Functions and Space Curves',NULL),(1057,170,2,'Derivatives and Integrals of Vector Functions',NULL),(1058,170,3,'Arc Length and Curvature',NULL),(1059,170,4,'Motion in Space: Velocity and Acceleration',NULL),(1060,171,-1,'',NULL),(1061,171,1,'Functions of Several Variables',NULL),(1062,171,2,'Limits and Continuity',NULL),(1063,171,3,'Partial Derivatives',NULL),(1064,171,4,'Tangent Planes and Linear Approximations',NULL),(1065,171,5,'The Chain Rule',NULL),(1066,171,6,'Directional Derivatives and the Gradient Vector',NULL),(1067,171,7,'Maximum and Minimum Values',NULL),(1068,171,8,'Lagrange Multipliers',NULL),(1069,172,-1,'',NULL),(1070,172,1,'Double Integrals over Rectangles',NULL),(1071,172,2,'Iterated Integrals',NULL),(1072,172,3,'Double Integrals over General Regions',NULL),(1073,172,4,'Double Integrals in Polar Coordinates',NULL),(1074,172,5,'Applications of Double Integrals',NULL),(1075,172,6,'Surface Area',NULL),(1076,172,7,'Triple Integrals',NULL),(1077,172,8,'Triple Integrals in Cylindrical and Spherical Coordinates',NULL),(1078,172,9,'Change of Variables in Multiple Integrals',NULL),(1079,173,-1,'',NULL),(1080,173,1,'Vector Fields',NULL),(1081,173,2,'Line Integrals',NULL),(1082,173,3,'The Fundamental Theorem for Line Integrals',NULL),(1083,173,4,'Green\'s Theorem',NULL),(1084,173,5,'Curl and Divergence',NULL),(1085,173,6,'Parametric Surfaces and their Areas',NULL),(1086,173,7,'Surface Integrals',NULL),(1087,173,8,'Stokes\' Theorem',NULL),(1088,173,9,'The Divergence Theorem',NULL),(1089,173,10,'Summary',NULL),(1090,174,-1,'',NULL),(1091,174,1,'Second-Order Linear Equations',NULL),(1092,174,2,'Nonhomogeneous Linear Equations',NULL),(1093,174,3,'Applications of Second-Order Differential Equations',NULL),(1094,174,4,'Series Solutions',NULL),(1095,175,-1,'',NULL),(1096,176,-1,'',NULL),(1097,177,-1,'',NULL),(1098,178,-1,'',NULL),(1099,179,-1,'',NULL),(1100,180,-1,'',NULL),(1101,181,-1,'',NULL),(1102,182,-1,'',NULL),(1103,183,-1,'',NULL),(1104,183,1,'Four Ways to Represent a Function',NULL),(1105,183,2,'Mathematical Models: A Catalog of Essential Functions',NULL),(1106,183,3,'New Functions from Old Functions',NULL),(1107,183,4,'Graphing Calculators and Computers',NULL),(1108,183,5,'Exponential Functions',NULL),(1109,183,6,'Inverse Functions and Logarithms',NULL),(1110,184,-1,'',NULL),(1111,184,1,'The Tangent and Velocity Problems',NULL),(1112,184,2,'The Limit of a Function',NULL),(1113,184,3,'Calculating Limits Using the Limit Laws',NULL),(1114,184,4,'The Precise Definition of a Limit',NULL),(1115,184,5,'Continuity',NULL),(1116,184,6,'Limits at Infinity; Horizontal Asymptotes',NULL),(1117,184,7,'Derivatives and Rates of Change',NULL),(1118,184,8,'The Derivative as a Function',NULL),(1119,185,-1,'',NULL),(1120,185,1,'Derivatives of Polynomials and Exponential Functions',NULL),(1121,185,2,'The Product and Quotient Rules',NULL),(1122,185,3,'Derivatives of Trigonometric Functions',NULL),(1123,185,4,'The Chain Rule',NULL),(1124,185,5,'Implicit Differentiation',NULL),(1125,185,6,'Derivatives of Logarithmic Functions',NULL),(1126,185,7,'Rates of Change in the Natural and Social Sciences',NULL),(1127,185,8,'Exponential Growth and Decay',NULL),(1128,185,9,'Related Rates',NULL),(1129,185,10,'Linear Approximations and Differentials',NULL),(1130,185,11,'Hyperbolic Functions',NULL),(1131,186,-1,'',NULL),(1132,186,1,'Maximum and Minimum Values',NULL),(1133,186,2,'The Mean Value Theorem',NULL),(1134,186,3,'How Derivatives Affect the Shape of a Graph',NULL),(1135,186,4,'Indeterminate Forms and L\'Hospital\'s Rule',NULL),(1136,186,5,'Summary of Curve Sketching',NULL),(1137,186,6,'Graphing with Calculus and Calculators',NULL),(1138,186,7,'Optimization Problems',NULL),(1139,186,8,'Newton\'s Method',NULL),(1140,186,9,'Antiderivatives',NULL),(1141,187,-1,'',NULL),(1142,187,1,'Areas and Distances',NULL),(1143,187,2,'The Definite Integral',NULL),(1144,187,3,'The Fundamental Theorem of Calculus',NULL),(1145,187,4,'Indefinite Integrals and the Net Change Theorem',NULL),(1146,187,5,'The Substitution Rule',NULL),(1147,188,-1,'',NULL),(1148,188,1,'Areas between Curves',NULL),(1149,188,2,'Volumes',NULL),(1150,188,3,'Volumes by Cylindrical Shells',NULL),(1151,188,4,'Work',NULL),(1152,188,5,'Average Value of a Function',NULL),(1153,189,-1,'',NULL),(1154,189,1,'Integration by Parts',NULL),(1155,189,2,'Trigonometric Integrals',NULL),(1156,189,3,'Trigonometric Substitution',NULL),(1157,189,4,'Integration of Rational Functions by Partial Fractions',NULL),(1158,189,5,'Strategy for Integration',NULL),(1159,189,6,'Integration Using Tables and Computer Algebra Systems',NULL),(1160,189,7,'Approximate Integration',NULL),(1161,189,8,'Improper Integrals',NULL),(1162,190,-1,'',NULL),(1163,190,1,'Arc Length',NULL),(1164,190,2,'Area of a Surface of Revolution',NULL),(1165,190,3,'Applications to Physics and Engineering',NULL),(1166,190,4,'Applications to Economics and Biology',NULL),(1167,190,5,'Probability',NULL),(1168,191,-1,'',NULL),(1169,191,1,'Modeling with Differential Equations',NULL),(1170,191,2,'Direction Fields and Euler\'s Method',NULL),(1171,191,3,'Separable Equations',NULL),(1172,191,4,'Models for Population Growth',NULL),(1173,191,5,'Linear Equations',NULL),(1174,191,6,'Predator-Prey Systems',NULL),(1175,192,-1,'',NULL),(1176,192,1,'Curves Defined by Parametric Equations',NULL),(1177,192,2,'Calculus with Parametric Curves',NULL),(1178,192,3,'Polar Coordinates',NULL),(1179,192,4,'Areas and Lengths in Polar Coordinates',NULL),(1180,192,5,'Conic Sections',NULL),(1181,192,6,'Conic Sections in Polar Coordinates',NULL),(1182,193,-1,'',NULL),(1183,193,1,'Sequences',NULL),(1184,193,2,'Series',NULL),(1185,193,3,'The Integral Test and Estimates of Sum',NULL),(1186,193,4,'The Comparison Tests',NULL),(1187,193,5,'Alternating Series',NULL),(1188,193,6,'Absolute Convergence and the Ratio and Root Tests',NULL),(1189,193,7,'Strategy for Testing Series',NULL),(1190,193,8,'Power Series',NULL),(1191,193,9,'Representations of Functions as Power Series',NULL),(1192,193,10,'Taylor and Maclaurin Series',NULL),(1193,193,11,'Applications of Taylor Polynomials',NULL),(1194,194,-1,'',NULL),(1195,194,1,'Three-Dimensional Coordinate Systems',NULL),(1196,194,2,'Vectors',NULL),(1197,194,3,'The Dot Product',NULL),(1198,194,4,'The Cross Product',NULL),(1199,194,5,'Equations of Lines and Planes',NULL),(1200,194,6,'Cylinders and Quadric Surfaces',NULL),(1201,195,-1,'',NULL),(1202,195,1,'Vector Functions and Space Curves',NULL),(1203,195,2,'Derivatives and Integrals of Vector Functions',NULL),(1204,195,3,'Arc Length and Curvature',NULL),(1205,195,4,'Motion in Space: Velocity and Acceleration',NULL),(1206,196,-1,'',NULL),(1207,196,1,'Functions of Several Variables',NULL),(1208,196,2,'Limits and Continuity',NULL),(1209,196,3,'Partial Derivatives',NULL),(1210,196,4,'Tangent Planes and Linear Approximations',NULL),(1211,196,5,'The Chain Rule',NULL),(1212,196,6,'Directional Derivatives and the Gradient Vector',NULL),(1213,196,7,'Maximum and Minimum Values',NULL),(1214,196,8,'Lagrange Multipliers',NULL),(1215,197,-1,'',NULL),(1216,197,1,'Double Integrals over Rectangles',NULL),(1217,197,2,'Iterated Integrals',NULL),(1218,197,3,'Double Integrals over General Regions',NULL),(1219,197,4,'Double Integrals in Polar Coordinates',NULL),(1220,197,5,'Applications of Double Integrals',NULL),(1221,197,6,'Triple Integrals',NULL),(1222,197,7,'Triple Integrals in Cylindrical Coordinates',NULL),(1223,197,8,'Triple Integrals in Spherical Coordinates',NULL),(1224,197,9,'Change of Variables in Multiple Integrals',NULL),(1225,198,-1,'',NULL),(1226,198,1,'Vector Fields',NULL),(1227,198,2,'Line Integrals',NULL),(1228,198,3,'The Fundamental Theorem for Line Integrals',NULL),(1229,198,4,'Green\'s Theorem',NULL),(1230,198,5,'Curl and Divergence',NULL),(1231,198,6,'Parametric Surfaces and their Areas',NULL),(1232,198,7,'Surface Integrals',NULL),(1233,198,8,'Stokes\' Theorem',NULL),(1234,198,9,'The Divergence Theorem',NULL),(1235,198,10,'Summary',NULL),(1236,199,-1,'',NULL),(1237,199,1,'Second-Order Linear Equations',NULL),(1238,199,2,'Nonhomogeneous Linear Equations',NULL),(1239,199,3,'Applications of Second-Order Differential Equations',NULL),(1240,199,4,'Series Solutions',NULL),(1241,200,-1,'',NULL),(1242,201,-1,'',NULL),(1243,202,-1,'',NULL),(1244,203,-1,'',NULL),(1245,204,-1,'',NULL),(1246,205,-1,'',NULL),(1247,206,-1,'',NULL),(1248,207,-1,'',NULL),(1249,208,-1,'',NULL),(1250,209,-1,'',NULL),(1251,209,1,'What is Algebra?',NULL),(1252,209,2,'Real Numbers',NULL),(1253,209,3,'Exponentials and Radicals',NULL),(1254,209,4,'Algebraic Equations',NULL),(1255,209,5,'Fractional Expressions',NULL),(1256,209,6,'Basic Equations',NULL),(1257,210,-1,'',NULL),(1258,210,1,'The Coordinate Plane',NULL),(1259,210,2,'Graphs of Equations',NULL),(1260,210,3,'Graphing Calculators and Computers',NULL),(1261,210,4,'Lines',NULL),(1262,211,-1,'',NULL),(1263,211,1,'Algebraic and Graphical Solutions of Equations',NULL),(1264,211,2,'Modeling with Equations',NULL),(1265,211,3,'Quadratic Equations',NULL),(1266,211,4,'Complex Numbers',NULL),(1267,211,5,'Other Equations',NULL),(1268,211,6,'Linear Inequalities',NULL),(1269,211,7,'Nonlinear Inequalities',NULL),(1270,211,8,'Absolute Value',NULL),(1271,212,-1,'',NULL),(1272,212,1,'What is a Function?',NULL),(1273,212,2,'Graphs of Functions',NULL),(1274,212,3,'Applied Functions: Variation',NULL),(1275,212,4,'Average Rate of Change: Increasing and Decreasing Functions',NULL),(1276,212,5,'Transformations of Functions',NULL),(1277,212,6,'Extreme Values of Functions',NULL),(1278,212,7,'Combining Functions',NULL),(1279,212,8,'One-to-One Functions and Their Inverses',NULL),(1280,213,-1,'',NULL),(1281,213,1,'Polynomial Functions and Their Graphs',NULL),(1282,213,2,'Dividing Polynomials',NULL),(1283,213,3,'Real Zeros of Polynomials',NULL),(1284,213,4,'The Fundamental Theorem of Algebra',NULL),(1285,213,5,'Rational Functions',NULL),(1286,214,-1,'',NULL),(1287,214,1,'Exponential Functions',NULL),(1288,214,2,'The Natural Exponential Function',NULL),(1289,214,3,'Logistic Functions',NULL),(1290,214,4,'Laws of Logarithms',NULL),(1291,214,5,'Exponential and Logarithmic Equations',NULL),(1292,214,6,'Applications of Exponential and Logarithmic Functions',NULL),(1293,215,-1,'',NULL),(1294,215,1,'Systems of Equations',NULL),(1295,215,2,'Pairs of Lines',NULL),(1296,215,3,'Systems of Linear Equations',NULL),(1297,215,4,'The Algebra of Matrices',NULL),(1298,215,5,'Inverses of Matrices and Matrix Equations',NULL),(1299,215,6,'Determinants and Cramer\'s Rule',NULL),(1300,215,7,'Systems of Inequalities',NULL),(1301,215,8,'Partial Fractions',NULL),(1302,216,-1,'',NULL),(1303,216,1,'Parabolas',NULL),(1304,216,2,'Ellipses',NULL),(1305,216,3,'Hyperbolas',NULL),(1306,216,4,'Shifted Conics',NULL),(1307,217,-1,'',NULL),(1308,217,1,'Sequences and Summation Notation',NULL),(1309,217,2,'Arithmetic Sequences',NULL),(1310,217,3,'Geometric Sequences',NULL),(1311,217,4,'Annuities and Installment Buying',NULL),(1312,217,5,'Mathematical Induction',NULL),(1313,217,6,'The Binomial Theorem',NULL),(1314,218,-1,'',NULL),(1315,218,1,'Counting Principles',NULL),(1316,218,2,'Permutations and Combinations',NULL),(1317,218,3,'Probability',NULL),(1318,218,4,'Expected Value',NULL),(1319,219,-1,'',NULL),(1320,219,1,'Real Numbers',NULL),(1321,219,2,'Exponents and Radicals',NULL),(1322,219,3,'Algebraic Expressions',NULL),(1323,219,4,'Fractional Expressions',NULL),(1324,219,5,'Equations',NULL),(1325,219,6,'Problem Solving with Equations',NULL),(1326,219,7,'Inequalities',NULL),(1327,219,8,'Coordinate Geometry',NULL),(1328,219,9,'Graphing Calculators and Computers',NULL),(1329,219,10,'Lines',NULL),(1330,220,-1,'',NULL),(1331,220,1,'What is a Function?',NULL),(1332,220,2,'Graphs of Functions',NULL),(1333,220,3,'Applied Functions',NULL),(1334,220,4,'Transformations of Functions',NULL),(1335,220,5,'Extreme Values of Functions',NULL),(1336,220,6,'Combining Functions',NULL),(1337,220,7,'One-to-One Functions and Their Inverses',NULL),(1338,221,-1,'',NULL),(1339,221,1,'Polynomial Functions and Their Graphs',NULL),(1340,221,2,'Real Zeros of Polynomials',NULL),(1341,221,3,'Complex Numbers',NULL),(1342,221,4,'Complex Roots and The Fundamental Theorem of Algebra',NULL),(1343,221,5,'Rational Functions',NULL),(1344,222,-1,'',NULL),(1345,222,1,'Exponential Functions',NULL),(1346,222,2,'The Natural Exponential Function',NULL),(1347,222,3,'Logarithmic Functions',NULL),(1348,222,4,'Laws of Logarithms',NULL),(1349,222,5,'Exponential and Logarithmic Equations',NULL),(1350,222,6,'Applications of Exponential and Logarithmic Equations',NULL),(1351,223,-1,'',NULL),(1352,223,1,'The Unit Circle',NULL),(1353,223,2,'Trigonometric Functions of Real Numbers',NULL),(1354,223,3,'Trigonometric Graphs',NULL),(1355,223,4,'More Trigonometric Graphs',NULL),(1356,224,-1,'',NULL),(1357,224,1,'Angle Measure',NULL),(1358,224,2,'Trigonometry of Right Triangles',NULL),(1359,224,3,'Trigonometric Functions of Angles',NULL),(1360,224,4,'The Law of Sines',NULL),(1361,224,5,'The Law of Cosines',NULL),(1362,225,-1,'',NULL),(1363,225,1,'Trigonometric Identities',NULL),(1364,225,2,'Addition and Subtraction Formulas',NULL),(1365,225,3,'Double-Angle, Half-Angle, and Product-Sum Formulas',NULL),(1366,225,4,'Inverse Trigonometric Functions',NULL),(1367,225,5,'Trigonometric Equations',NULL),(1368,225,6,'Trigonometric Form of Complex Numbers; DeMoivre\'s Theorem',NULL),(1369,225,7,'Vectors',NULL),(1370,226,-1,'',NULL),(1371,226,1,'Systems of Equations',NULL),(1372,226,2,'Pairs of Lines',NULL),(1373,226,3,'Systems of Linear Equations',NULL),(1374,226,4,'The Algebra of Matrices',NULL),(1375,226,5,'Inverses of Matrices and Matrix Equations',NULL),(1376,226,6,'Determinants and Cramer\'s Rule',NULL),(1377,226,7,'Systems of Inequalities',NULL),(1378,226,8,'Partial Fractions',NULL),(1379,227,-1,'',NULL),(1380,227,1,'Parabolas',NULL),(1381,227,2,'Ellipses',NULL),(1382,227,3,'Hyperbolas',NULL),(1383,227,4,'Shifted Conics',NULL),(1384,227,5,'Rotation of Axes',NULL),(1385,227,6,'Polar Coordinates',NULL),(1386,227,7,'Polar Equations of Conics',NULL),(1387,227,8,'Parametric Equations',NULL),(1388,228,-1,'',NULL),(1389,228,1,'Sequences and Summation Notation',NULL),(1390,228,2,'Arithmetic Sequences',NULL),(1391,228,3,'Geometric Sequences',NULL),(1392,228,4,'Annuities and Installment Buying',NULL),(1393,228,5,'Mathematical Induction',NULL),(1394,228,6,'The Binomial Theorem',NULL),(1395,229,-1,'',NULL),(1396,229,1,'Counting Principles',NULL),(1397,229,2,'Permutations and Combinations',NULL),(1398,229,3,'Probability',NULL),(1399,229,4,'Expected Value',NULL),(1400,230,-1,'',NULL),(1401,230,1,'Functions and Function Notation',NULL),(1402,230,2,'Rate of Change',NULL),(1403,230,3,'Linear Functions',NULL),(1404,230,4,'Formulas for Linear Functions',NULL),(1405,230,5,'Geometric Properties of Linear Functions',NULL),(1406,230,6,'Fitting Linear Functions to Data',NULL),(1407,231,-1,'',NULL),(1408,231,1,'Input and Output',NULL),(1409,231,2,'Domain and Range',NULL),(1410,231,3,'Piecewise Defined Functions',NULL),(1411,231,4,'Composite and Inverse Functions',NULL),(1412,231,5,'Concavity',NULL),(1413,231,6,'Quadratic Functions',NULL),(1414,232,-1,'',NULL),(1415,232,1,'Introduction to the Family of Exponential Functions',NULL),(1416,232,2,'Comparing Exponential and Linear Functions',NULL),(1417,232,3,'Graphs of Exponential Functions',NULL),(1418,232,4,'Continuous Growth and the Number e',NULL),(1419,232,5,'Compound Interest',NULL),(1420,233,-1,'',NULL),(1421,233,1,'Logarithms and their Properties',NULL),(1422,233,2,'Logarithms and Exponential Models',NULL),(1423,233,3,'The Logarithmic Function',NULL),(1424,233,4,'Logarithmic Scales',NULL),(1425,234,-1,'',NULL),(1426,234,1,'Vertical and Horizontal Shifts',NULL),(1427,234,2,'Reflections and Symmetry',NULL),(1428,234,3,'Vertical Stretches and Compressions',NULL),(1429,234,4,'Horizontal Stretches and Compressions',NULL),(1430,234,5,'The Family of Quadratic Functions',NULL),(1431,235,-1,'',NULL),(1432,235,1,'Introduction to Periodic Functions',NULL),(1433,235,2,'The Sine and Cosine Functions',NULL),(1434,235,3,'Radians',NULL),(1435,235,4,'Graphs of the Sine and Cosine',NULL),(1436,235,5,'Sinusoidal Functions',NULL),(1437,235,6,'Other Trigonometric Functions',NULL),(1438,235,7,'Inverse Trigonometric Functions',NULL),(1439,236,-1,'',NULL),(1440,236,1,'General Triangles: Laws of Sines and Cosines',NULL),(1441,236,2,'Trigonometric Identities',NULL),(1442,236,3,'Sum and Difference Formulas for Sine and Cosine',NULL),(1443,236,4,'Trigonometric Models',NULL),(1444,236,5,'Polar Coordinates',NULL),(1445,236,6,'Complex Numbers and Polar Coordinates',NULL),(1446,237,-1,'',NULL),(1447,237,1,'Composition of Functions',NULL),(1448,237,2,'Inverse Functions',NULL),(1449,237,3,'Combinations of Functions',NULL),(1450,238,-1,'',NULL),(1451,238,1,'Power Functions',NULL),(1452,238,2,'Polynomial Functions',NULL),(1453,238,3,'The Short-Run Behavior of Polynomials',NULL),(1454,238,4,'Rational Functions',NULL),(1455,238,5,'The Short-Run Behavior of Rational Functions',NULL),(1456,238,6,'Comparing Power, Exponential and Log Functions',NULL),(1457,238,7,'Fitting Exponentials and Polynomials to Data',NULL),(1458,239,-1,'',NULL),(1459,239,1,'Vectors',NULL),(1460,239,2,'The Components of a Vector',NULL),(1461,239,3,'Application of Vectors',NULL),(1462,239,4,'The Dot 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Circles',NULL),(1551,255,3,'Ellipses',NULL),(1552,255,4,'Hyperbolas',NULL),(1553,255,5,'Geometric Properties of Conic Sections',NULL),(1554,255,6,'Hyperbolic Functions',NULL),(1555,256,-1,'',NULL),(1556,256,1,'Functions and Function Notation',NULL),(1557,256,2,'Rate of Change',NULL),(1558,256,3,'Linear Functions',NULL),(1559,256,4,'Formulas for Linear Functions',NULL),(1560,256,5,'Modeling with Linear Functions',NULL),(1561,256,6,'Fitting Linear Functions to Data',NULL),(1562,257,-1,'',NULL),(1563,257,1,'Input and Output',NULL),(1564,257,2,'Domain and Range',NULL),(1565,257,3,'Piecewise-Defined Functions',NULL),(1566,257,4,'Preview of Transformations: Shifts',NULL),(1567,257,5,'Preview of Composite and Inverse Functions',NULL),(1568,257,6,'Concavity',NULL),(1569,258,-1,'',NULL),(1570,258,1,'Introduction to the Family of Quadratic Functions',NULL),(1571,258,2,'The Vertex of a Parabola',NULL),(1572,259,-1,'',NULL),(1573,259,1,'Introduction to the Family of Exponential 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Functions',NULL),(1725,282,7,'Implicit Functions',NULL),(1726,282,8,'Hyperbolic Functions',NULL),(1727,282,9,'Linear Approximation and the Derivative',NULL),(1728,282,10,'Theorems About Differentiable Functions',NULL),(1729,283,-1,'',NULL),(1730,283,1,'Using First and Second Derivatives',NULL),(1731,283,2,'Families of Curves',NULL),(1732,283,3,'Optimization',NULL),(1733,283,4,'Applications to Marginality',NULL),(1734,283,5,'Optimization and Modeling',NULL),(1735,283,6,'Rates and Related Rates',NULL),(1736,283,7,'L\'Hopital\'s Rule, Growth, and Dominance',NULL),(1737,283,8,'Parametric Equations',NULL),(1738,284,-1,'',NULL),(1739,284,1,'How do we measure distance traveled?',NULL),(1740,284,2,'The Definite Integral',NULL),(1741,284,3,'The Fundamental Theorem and Interpretations',NULL),(1742,284,4,'Theorems About Definite Integrals',NULL),(1743,285,-1,'',NULL),(1744,285,1,'Antiderivatives Graphically and Numerically',NULL),(1745,285,2,'Constructing Antiderivatives 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Median',NULL),(1767,288,-1,'',NULL),(1768,288,1,'Sequences',NULL),(1769,288,2,'Geometric Series',NULL),(1770,288,3,'Convergence of Series',NULL),(1771,288,4,'Tests for Convergence',NULL),(1772,288,5,'Power Series and Interval of Convergence',NULL),(1773,289,-1,'',NULL),(1774,289,1,'Taylor Polynomials',NULL),(1775,289,2,'Taylor Series',NULL),(1776,289,3,'Finding and Using Taylor Series',NULL),(1777,289,4,'The Error in Taylor Polynomial Approximations',NULL),(1778,289,5,'Fourier Series',NULL),(1779,290,-1,'',NULL),(1780,290,1,'What is a differential equation?',NULL),(1781,290,2,'Slope Fields',NULL),(1782,290,3,'Euler\'s Method',NULL),(1783,290,4,'Separation of Variables',NULL),(1784,290,5,'Growth and Decay',NULL),(1785,290,6,'Applications and Modeling',NULL),(1786,290,7,'Models of Population Growth',NULL),(1787,290,8,'Systems of Differential Equations',NULL),(1788,290,9,'Analyzing the Phase Plane',NULL),(1789,290,10,'Second-Order Differential Equations: Oscillations',NULL),(1790,290,11,'Linear Second-Order Differential Equations',NULL),(1791,291,-1,'',NULL),(1792,291,1,'Functions of Two Variables',NULL),(1793,291,2,'Graphs of Functions of Two Variables',NULL),(1794,291,3,'Contour Diagrams',NULL),(1795,291,4,'Linear Functions',NULL),(1796,291,5,'Functions of Three Variables',NULL),(1797,291,6,'Limits and Continuity',NULL),(1798,292,-1,'',NULL),(1799,292,1,'Displacement Vectors',NULL),(1800,292,2,'Vectors in General',NULL),(1801,292,3,'The Dot Product',NULL),(1802,292,4,'The Cross Product',NULL),(1803,293,-1,'',NULL),(1804,293,1,'The Partial Derivative',NULL),(1805,293,2,'Computing Partial Derivatives Algebraically',NULL),(1806,293,3,'Local Linearity and the Differential',NULL),(1807,293,4,'Gradients and Directional Derivatives in the Plane',NULL),(1808,293,5,'Gradients and Directional Derivatives in Space',NULL),(1809,293,6,'The Chain Rule',NULL),(1810,293,7,'Second-Order Partial 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Trigonometric Substitutions',NULL),(1897,306,5,'Approximating Definite Integrals',NULL),(1898,306,6,'Approximation Errors and Simpson\'s Rule',NULL),(1899,306,7,'Improper Integrals',NULL),(1900,306,8,'Comparison of Improper Integrals',NULL),(1901,307,-1,'',NULL),(1902,307,1,'Areas and Volumes',NULL),(1903,307,2,'Applications to Geometry',NULL),(1904,307,3,'Area and Arc Length in Polar Coordinates',NULL),(1905,307,4,'Density and Center of Mass',NULL),(1906,307,5,'Applications to Physics',NULL),(1907,307,6,'Applications to Economics',NULL),(1908,307,7,'Distribution Functions',NULL),(1909,307,8,'Probability, Mean and Median',NULL),(1910,308,-1,'',NULL),(1911,308,1,'Sequences',NULL),(1912,308,2,'Geometric Series',NULL),(1913,308,3,'Convergence of Series',NULL),(1914,308,4,'Tests for Convergence',NULL),(1915,308,5,'Power Series and Interval of Convergence',NULL),(1916,309,-1,'',NULL),(1917,309,1,'Taylor Polynomials',NULL),(1918,309,2,'Taylor Series',NULL),(1919,309,3,'Finding and Using Taylor Series',NULL),(1920,309,4,'The Error in Taylor Polynomial Approximations',NULL),(1921,309,5,'Fourier Series',NULL),(1922,310,-1,'',NULL),(1923,310,1,'What is a Differential Equation',NULL),(1924,310,2,'Slope Fields',NULL),(1925,310,3,'Euler\'s Method',NULL),(1926,310,4,'Separation of Variables',NULL),(1927,310,5,'Growth and Decay',NULL),(1928,310,6,'Applications and Modeling',NULL),(1929,310,7,'The Logistic Model',NULL),(1930,310,8,'Systems of Differential Equations',NULL),(1931,310,9,'Analyzing the Phase Plane',NULL),(1932,310,10,'Second-Order Differential Equations: Oscillations',NULL),(1933,310,11,'Linear Second-Order Differential Equations',NULL),(1934,311,-1,'',NULL),(1935,311,1,'Functions of Two Variables',NULL),(1936,311,2,'Graphs of Functions of Two Variables',NULL),(1937,311,3,'Contour Diagrams',NULL),(1938,311,4,'Linear Functions',NULL),(1939,311,5,'Functions of Three Variables',NULL),(1940,311,6,'Limits and Continuity',NULL),(1941,312,-1,'',NULL),(1942,312,1,'Displacement Vectors',NULL),(1943,312,2,'Vectors in General',NULL),(1944,312,3,'The Dot Product',NULL),(1945,312,4,'The Cross Product',NULL),(1946,313,-1,'',NULL),(1947,313,1,'The Partial Derivative',NULL),(1948,313,2,'Computing Partial Derivatives Algebraically',NULL),(1949,313,3,'Local Linearity and the Differential',NULL),(1950,313,4,'Gradients and Directional Derivatives in the Plane',NULL),(1951,313,5,'Gradients and Directional Derivatives in Space',NULL),(1952,313,6,'The Chain Rule',NULL),(1953,313,7,'Second-Order Partial Derivatives',NULL),(1954,313,8,'Differentiability',NULL),(1955,314,-1,'',NULL),(1956,314,1,'Local Extrema',NULL),(1957,314,2,'Optimization',NULL),(1958,314,3,'Constrained Optimization: Lagrange Multipliers',NULL),(1959,315,-1,'',NULL),(1960,315,1,'The Definite Integral of a Function of Two Variables',NULL),(1961,315,2,'Iterated Integrals',NULL),(1962,315,3,'Triple Integrals',NULL),(1963,315,4,'Double Integrals in Polar Coordinates',NULL),(1964,315,5,'Integrals in Cylindrical and Spherical Coordinates',NULL),(1965,315,6,'Applications of Integration to Probability',NULL),(1966,315,7,'Change of Variables in Multiple Integral',NULL),(1967,316,-1,'',NULL),(1968,316,1,'Parameterized Curves',NULL),(1969,316,2,'Motion, Velocity, and Acceleration',NULL),(1970,316,3,'Vector Fields',NULL),(1971,316,4,'The Flow of a Vector Field',NULL),(1972,316,5,'Parameterized Surfaces',NULL),(1973,317,-1,'',NULL),(1974,317,1,'The Idea of a Line Integral',NULL),(1975,317,2,'Computing Line Integrals Over Parameterized Curves',NULL),(1976,317,3,'Gradient Fields and Path-Independent Fields',NULL),(1977,317,4,'Path-Independent Vector Fields and Green\'s Theorem',NULL),(1978,318,-1,'',NULL),(1979,318,1,'The Idea of a Flux Integral',NULL),(1980,318,2,'Flux Integrals for Graphs, Cylinders, and Spheres',NULL),(1981,318,3,'Flux Integrals over Parameterized Surfaces',NULL),(1982,319,-1,'',NULL),(1983,319,1,'The Divergence of a Vector Field',NULL),(1984,319,2,'The Divergence Theorem',NULL),(1985,319,3,'The Curl of a Vector Field',NULL),(1986,319,4,'Stokes\' Theorem',NULL),(1987,319,5,'The Three Fundamental Theorems',NULL),(1988,320,-1,'',NULL),(1989,320,1,'Functions and Change',NULL),(1990,320,2,'Exponential Functions',NULL),(1991,320,3,'New Functions From Old',NULL),(1992,320,4,'Logarithmic Functions',NULL),(1993,320,5,'Trigonometric Functions',NULL),(1994,320,6,'Powers, Polynomials and Rational Functions',NULL),(1995,320,7,'Introduction to Continuity',NULL),(1996,320,8,'Limits',NULL),(1997,321,-1,'',NULL),(1998,321,1,'How Do We Measure Speed',NULL),(1999,321,2,'The Derivative at a Point',NULL),(2000,321,3,'The Derivative Function',NULL),(2001,321,4,'Interpretations of the Derivative',NULL),(2002,321,5,'The Second Derivative',NULL),(2003,321,6,'Differentiability',NULL),(2004,322,-1,'',NULL),(2005,322,1,'Powers and Polynomials',NULL),(2006,322,2,'The Exponential Function',NULL),(2007,322,3,'The Product and Quotient Rules',NULL),(2008,322,4,'The Chain Rule',NULL),(2009,322,5,'The Trigonometric Functions',NULL),(2010,322,6,'The Chain Rule and Inverse Functions',NULL),(2011,322,7,'Implicit Functions',NULL),(2012,322,8,'Hyperbolic Functions',NULL),(2013,322,9,'Linear Approximation and the Derivative',NULL),(2014,322,10,'Theorems About Differentiable Functions',NULL),(2015,323,-1,'',NULL),(2016,323,1,'Using First and Second Derivatives',NULL),(2017,323,2,'Optimization',NULL),(2018,323,3,'Optimization and Modeling',NULL),(2019,323,4,'Families of Functions',NULL),(2020,323,5,'Applications to Marginality',NULL),(2021,323,6,'Rates and Related Rates',NULL),(2022,323,7,'L\'Hopital\'s Rule, Growth and Dominance',NULL),(2023,323,8,'Parametric Equations',NULL),(2024,324,-1,'',NULL),(2025,324,1,'How Do We Measure Distance Traveled',NULL),(2026,324,2,'The Definite Integral',NULL),(2027,324,3,'The Fundamental Theorem and Interpretations',NULL),(2028,324,4,'Theorems about Definite Integrals',NULL),(2029,325,-1,'',NULL),(2030,325,1,'Antiderivatives Graphically and Numerically',NULL),(2031,325,2,'Constructing Antiderivatives Analytically',NULL),(2032,325,3,'Differential Equations and Motion',NULL),(2033,325,4,'The Second Fundamental Theorem of Calculus',NULL),(2034,326,-1,'',NULL),(2035,326,1,'Integration by Substitution',NULL),(2036,326,2,'Integration by Parts',NULL),(2037,326,3,'Tables of Integrals',NULL),(2038,326,4,'Algebraic Identities and Trigonometric Substitutions',NULL),(2039,326,5,'Numerical Methods for Definite Integrals',NULL),(2040,326,6,'Improper Integrals',NULL),(2041,326,7,'Comparison of Improper Integrals',NULL),(2042,327,-1,'',NULL),(2043,327,1,'Areas and Volumes',NULL),(2044,327,2,'Applications to Geometry',NULL),(2045,327,3,'Area and Arc Length in Polar Coordinates',NULL),(2046,327,4,'Density and Center of Mass',NULL),(2047,327,5,'Applications to Physics',NULL),(2048,327,6,'Applications to Economics',NULL),(2049,327,7,'Distribution Functions',NULL),(2050,327,8,'Probability, Mean and Median',NULL),(2051,328,-1,'',NULL),(2052,328,1,'Sequences',NULL),(2053,328,2,'Geometric Series',NULL),(2054,328,3,'Convergence of Series',NULL),(2055,328,4,'Tests for Convergence',NULL),(2056,328,5,'Power Series and Interval of Convergence',NULL),(2057,329,-1,'',NULL),(2058,329,1,'Taylor Polynomials',NULL),(2059,329,2,'Taylor Series',NULL),(2060,329,3,'Finding and Using Taylor Series',NULL),(2061,329,4,'The Error in Taylor Polynomial Approximations',NULL),(2062,329,5,'Fourier Series',NULL),(2063,330,-1,'',NULL),(2064,330,1,'What is a Differential Equation',NULL),(2065,330,2,'Slope Fields',NULL),(2066,330,3,'Euler\'s Method',NULL),(2067,330,4,'Separation of Variables',NULL),(2068,330,5,'Growth and Decay',NULL),(2069,330,6,'Applications and Modeling',NULL),(2070,330,7,'The Logistic Model',NULL),(2071,330,8,'Systems of Differential Equations',NULL),(2072,330,9,'Analyzing the Phase Plane',NULL),(2073,331,-1,'',NULL),(2074,331,1,'Functions of Two Variables',NULL),(2075,331,2,'Graphs and Surfaces',NULL),(2076,331,3,'Contour Diagrams',NULL),(2077,331,4,'Linear Functions',NULL),(2078,331,5,'Functions of Three Variables',NULL),(2079,331,6,'Limits and Continuity',NULL),(2080,332,-1,'',NULL),(2081,332,1,'Displacement Vectors',NULL),(2082,332,2,'Vectors in General',NULL),(2083,332,3,'The Dot Product',NULL),(2084,332,4,'The Cross Product',NULL),(2085,333,-1,'',NULL),(2086,333,1,'The Partial Derivative',NULL),(2087,333,2,'Computing Partial Derivatives Algebraically',NULL),(2088,333,3,'Local Linearity and the Differential',NULL),(2089,333,4,'Gradients and Directional Derivatives in the Plane',NULL),(2090,333,5,'Gradients and Directional Derivatives in Space',NULL),(2091,333,6,'The Chain Rule',NULL),(2092,333,7,'Second-Order Partial Derivatives',NULL),(2093,333,8,'Differentiability',NULL),(2094,334,-1,'',NULL),(2095,334,1,'Critical Points: Local Extrema and Saddle Points',NULL),(2096,334,2,'Optimization',NULL),(2097,334,3,'Constrained Optimization: Lagrange Multipliers',NULL),(2098,335,-1,'',NULL),(2099,335,1,'The Definite Integral of a Function of Two Variables',NULL),(2100,335,2,'Iterated Integrals',NULL),(2101,335,3,'Triple Integrals',NULL),(2102,335,4,'Double Integrals in Polar Coordinates',NULL),(2103,335,5,'Integrals in Cylindrical and Spherical Coordinates',NULL),(2104,335,6,'Applications of Integration to Probability',NULL),(2105,336,-1,'',NULL),(2106,336,1,'Parameterized Curves',NULL),(2107,336,2,'Motion, Velocity, and Acceleration',NULL),(2108,336,3,'Vector Fields',NULL),(2109,336,4,'The Flow of a Vector Field',NULL),(2110,337,-1,'',NULL),(2111,337,1,'The Idea of a Line Integral',NULL),(2112,337,2,'Computing Line Integrals Over Parameterized Curves',NULL),(2113,337,3,'Gradient Fields and Path-Independent Fields',NULL),(2114,337,4,'Path-Independent Vector Fields and Green\'s Theorem',NULL),(2115,338,-1,'',NULL),(2116,338,1,'The Idea of a Flux Integral',NULL),(2117,338,2,'Flux Integrals for Graphs, Cylinders, and Spheres',NULL),(2118,338,3,'The Divergence of a Vector Field',NULL),(2119,338,4,'The Divergence Theorem',NULL),(2120,339,-1,'',NULL),(2121,339,1,'The Curl of a Vector Field',NULL),(2122,339,2,'Stokes\' Theorem',NULL),(2123,339,3,'The Three Fundamental Theorems',NULL),(2124,340,-1,'',NULL),(2125,340,1,'Coordinates and Parameterized Surfaces',NULL),(2126,340,2,'Change of Coordinates in a Multiple Integral',NULL),(2127,340,3,'Flux Integrals over Parameterized Surfaces',NULL),(2128,341,-1,'',NULL),(2129,341,1,'Real Numbers, Functions, and Graphs',NULL),(2130,341,2,'Linear and Quadratic Functions',NULL),(2131,341,3,'The Basic Classes of Functions',NULL),(2132,341,4,'Trigonometric Functions',NULL),(2133,341,5,'Inverse Functions',NULL),(2134,341,6,'Exponential and Logarithmic Functions',NULL),(2135,341,7,'Technology: Calculators and Computers',NULL),(2136,342,-1,'',NULL),(2137,342,1,'Limits, Rates of Change, and Tangent Lines',NULL),(2138,342,2,'Limits: A Numerical and Graphical Approach',NULL),(2139,342,3,'Basic Limit Laws',NULL),(2140,342,4,'Limits and Continuity',NULL),(2141,342,5,'Evaluating Limits Algebraically',NULL),(2142,342,6,'Trigonometric Limits',NULL),(2143,342,7,'Intermediate Value Theorem',NULL),(2144,342,8,'The Formal Definition of a Limit',NULL),(2145,343,-1,'',NULL),(2146,343,1,'Definition of the Derivative',NULL),(2147,343,2,'The Derivative as a Function',NULL),(2148,343,3,'Product and Quotient Rules',NULL),(2149,343,4,'Rates of Change',NULL),(2150,343,5,'Higher Derivatives',NULL),(2151,343,6,'Trigonometric Functions',NULL),(2152,343,7,'The Chain Rule',NULL),(2153,343,8,'Implicit Differentiation',NULL),(2154,343,9,'Derivatives of Inverse Functions',NULL),(2155,343,10,'Derivatives of General Exponential and Logarithmic Functions',NULL),(2156,343,11,'Related Rates',NULL),(2157,344,-1,'',NULL),(2158,344,1,'Linear Approximation and Applications',NULL),(2159,344,2,'Extreme Values',NULL),(2160,344,3,'The Mean Value Theorem and Monotonicity',NULL),(2161,344,4,'The Shape of a Graph',NULL),(2162,344,5,'Graph Sketching and Asymptotes',NULL),(2163,344,6,'Applied Optimization',NULL),(2164,344,7,'L\'Hopital\'s Rule',NULL),(2165,344,8,'Newton\'s Method',NULL),(2166,344,9,'Antiderivatives',NULL),(2167,345,-1,'',NULL),(2168,345,1,'Approximating and Computing Area',NULL),(2169,345,2,'The Definite Integral',NULL),(2170,345,3,'The Fundamental Theorem of Calculus, Part I',NULL),(2171,345,4,'The Fundamental Theorem of Calculus, Part II',NULL),(2172,345,5,'Net or Total Change as the Integral of a Rate',NULL),(2173,345,6,'Substitution Method',NULL),(2174,345,7,'Further Transcendental Functions',NULL),(2175,345,8,'Exponential Growth and Decay',NULL),(2176,346,-1,'',NULL),(2177,346,1,'Area Between Two Curves',NULL),(2178,346,2,'Setting Up Integrals: Volumes, Density, Average Value',NULL),(2179,346,3,'Volumes of Revolution',NULL),(2180,346,4,'The Method of Cylindrical Shells',NULL),(2181,346,5,'Work and Energy',NULL),(2182,347,-1,'',NULL),(2183,347,1,'Numerical Integration',NULL),(2184,347,2,'Integration by Parts',NULL),(2185,347,3,'Trigonometric Integrals',NULL),(2186,347,4,'Trigonometric Substitution',NULL),(2187,347,5,'Integrals of Hyperbolic and Inverse Hyperbolic Functions',NULL),(2188,347,6,'The Method of Partial Fractions',NULL),(2189,347,7,'Improper Integrals',NULL),(2190,348,-1,'',NULL),(2191,348,1,'Arc Length and Surface Area',NULL),(2192,348,2,'Fluid Pressure and Force',NULL),(2193,348,3,'Center of Mass',NULL),(2194,348,4,'Taylor Polynomials',NULL),(2195,349,-1,'',NULL),(2196,349,1,'Solving Differential Equations',NULL),(2197,349,2,'Models Involving y\'=k(y-b)',NULL),(2198,349,3,'Graphical and Numerical Methods',NULL),(2199,349,4,'The Logistic Equation',NULL),(2200,349,5,'First-Order Linear Equations',NULL),(2201,350,-1,'',NULL),(2202,350,1,'Sequences',NULL),(2203,350,2,'Summing an Infinite Series',NULL),(2204,350,3,'Convergence of Series with Positive Terms',NULL),(2205,350,4,'Absolute and Conditional Convergence',NULL),(2206,350,5,'The Ratio and Root Tests',NULL),(2207,350,6,'Power Series',NULL),(2208,350,7,'Taylor Series',NULL),(2209,351,-1,'',NULL),(2210,351,1,'Parametric Equations',NULL),(2211,351,2,'Arc Length and Speed',NULL),(2212,351,3,'Polar Coordinates',NULL),(2213,351,4,'Area and Arc Length in Polar Coordinates',NULL),(2214,351,5,'Conic Sections',NULL),(2215,352,-1,'',NULL),(2216,352,1,'Vectors in the Plane',NULL),(2217,352,2,'Vectors in Three Dimensions',NULL),(2218,352,3,'Dot Product and the Angle Between Two Vectors',NULL),(2219,352,4,'The Cross Product',NULL),(2220,352,5,'Planes in Three-Space',NULL),(2221,352,6,'A Survey of Quadric Surfaces',NULL),(2222,352,7,'Cylindrical and Spherical Coordinates',NULL),(2223,353,-1,'',NULL),(2224,353,1,'Vector-Valued Functions',NULL),(2225,353,2,'Calculus of Vector-Valued Functions',NULL),(2226,353,3,'Arc Length and Speed',NULL),(2227,353,4,'Curvature',NULL),(2228,353,5,'Motion in Three-Space',NULL),(2229,353,6,'Planetary Motion According to Kepler and Newton',NULL),(2230,354,-1,'',NULL),(2231,354,1,'Functions in Two or More Variables',NULL),(2232,354,2,'Limits and Continuity in Several Variables',NULL),(2233,354,3,'Partial Derivatives',NULL),(2234,354,4,'Differentiability, Linear Approximation, and Tangent Planes',NULL),(2235,354,5,'The Gradient and Directional Derivatives',NULL),(2236,354,6,'The Chain Rule',NULL),(2237,354,7,'Optimization in Several Variables',NULL),(2238,354,8,'Lagrange Multipliers: Optimizing with a Constraint',NULL),(2239,355,-1,'',NULL),(2240,355,1,'Integrals in Several Variables',NULL),(2241,355,2,'Double Integrals over More General Regions',NULL),(2242,355,3,'Triple Integrals',NULL),(2243,355,4,'Integration in Polar, Cylindrical, and Spherical Coordinates',NULL),(2244,355,5,'Change of Variables',NULL),(2245,356,-1,'',NULL),(2246,356,1,'Vector Fields',NULL),(2247,356,2,'Line Integrals',NULL),(2248,356,3,'Conservative Vector Fields',NULL),(2249,356,4,'Parametrized Surfaces and Surface Integrals',NULL),(2250,356,5,'Integrals of Vector Fields',NULL),(2251,357,-1,'',NULL),(2252,357,1,'Green\'s Theorem',NULL),(2253,357,2,'Stokes\' Theorem',NULL),(2254,357,3,'Divergence Theorem',NULL),(2255,358,-1,'',NULL),(2256,358,1,'Introduction',NULL),(2257,358,2,'The Basic Principle of Counting',NULL),(2258,358,3,'Permutations',NULL),(2259,358,4,'Combinations',NULL),(2260,358,5,'Multinomial Coefficients',NULL),(2261,358,6,'The Number of Integer Solutions of Equations',NULL),(2262,359,-1,'',NULL),(2263,359,1,'Introduction',NULL),(2264,359,2,'Sample Space and Events',NULL),(2265,359,3,'Axioms of Probability',NULL),(2266,359,4,'Some Simple Propositions',NULL),(2267,359,5,'Sample Spaces Having Equally Likely Outcome',NULL),(2268,359,6,'Probability as a Continuous Set Function',NULL),(2269,359,7,'Probability as a Measure of Belief',NULL),(2270,360,-1,'',NULL),(2271,360,1,'Introduction',NULL),(2272,360,2,'Conditional Probabilities',NULL),(2273,360,3,'Bayes\'s Formula',NULL),(2274,360,4,'Independent Events',NULL),(2275,360,5,'P(.|F) is a Probability',NULL),(2276,361,-1,'',NULL),(2277,361,1,'Random Variables',NULL),(2278,361,2,'Discrete Random Variables',NULL),(2279,361,3,'Expected Value',NULL),(2280,361,4,'Expectation of a Function of a Random Variable',NULL),(2281,361,5,'Variance',NULL),(2282,361,6,'The Bernoulli and Binomial Random Variables',NULL),(2283,361,7,'The Poisson Random Variable',NULL),(2284,361,8,'Other Discrete Probability Distributions',NULL),(2285,361,9,'Expected Value of Sums of Random Variables',NULL),(2286,361,10,'Properties of the Cumulative Distribution Function',NULL),(2287,362,-1,'',NULL),(2288,362,1,'Introduction',NULL),(2289,362,2,'Expectation and Variance of Continuous Random Variables',NULL),(2290,362,3,'The Uniform Random Variable',NULL),(2291,362,4,'Normal Random Variables',NULL),(2292,362,5,'Exponential Random Variables',NULL),(2293,362,6,'Other Continuous Distributions',NULL),(2294,362,7,'The Distribution of a Function of a Random Variable',NULL),(2295,363,-1,'',NULL),(2296,363,1,'Joint Distribution Functions',NULL),(2297,363,2,'Independent Random Variables',NULL),(2298,363,3,'Sums of Independent Random Variables',NULL),(2299,363,4,'Conditional Distributions: Discrete Case',NULL),(2300,363,5,'Conditional Distributions: Continuous Case',NULL),(2301,363,6,'Order Statistics',NULL),(2302,363,7,'Joint Probability Distribution of Functions of Random Variables',NULL),(2303,363,8,'Exchangeable Random Variables',NULL),(2304,364,-1,'',NULL),(2305,364,1,'Introduction',NULL),(2306,364,2,'Expectation of Sums of Random Variables',NULL),(2307,364,3,'Moments of the Number of Events that Occur',NULL),(2308,364,4,'Covariance, Variance of Sums, and Correlations',NULL),(2309,364,5,'Conditional Expectation',NULL),(2310,364,6,'Conditional Expectation and Prediction',NULL),(2311,364,7,'Moment Generating Functions',NULL),(2312,364,8,'Additional Properties of Normal Random Variables',NULL),(2313,364,9,'General Definition of Expectation',NULL),(2314,365,-1,'',NULL),(2315,365,1,'Introduction',NULL),(2316,365,2,'Chebyshev\'s Inequality and the Weak Law of Large Numbers',NULL),(2317,365,3,'The Central Limit Theorem',NULL),(2318,365,4,'The Strong Law of Large Numbers',NULL),(2319,365,5,'Other Inequalities',NULL),(2320,365,6,'Bounding the Error Probability When Approximating a Sum of Independent Bernoulli Random Variables by a Poisson Random Variable',NULL),(2321,366,-1,'',NULL),(2322,366,1,'The Poisson Process',NULL),(2323,366,2,'Markov Chains',NULL),(2324,366,3,'Surprise, Uncertainty and Entropy',NULL),(2325,366,4,'Coding Theory and Entropy',NULL),(2326,367,-1,'',NULL),(2327,367,1,'Introduction',NULL),(2328,367,2,'General Techniques for Simulating Continuous Random Variables',NULL),(2329,367,3,'Simulating from Discrete Distributions',NULL),(2330,367,4,'Variance Reduction Techniques',NULL),(2331,368,-1,'',NULL),(2332,368,1,'Mechanics',NULL),(2333,368,2,'Fundamental Concepts',NULL),(2334,368,3,'Units of Measurement',NULL),(2335,368,4,'The International System of Units',NULL),(2336,368,5,'Numerical Calculations',NULL),(2337,368,6,'General Procedure for Analysis',NULL),(2338,369,-1,'',NULL),(2339,369,1,'Scalars and Vectors',NULL),(2340,369,2,'Vector Operations',NULL),(2341,369,3,'Vector Addition of Forces',NULL),(2342,369,4,'Addition of a System of Coplanar Forces',NULL),(2343,369,5,'Cartesian Vectors',NULL),(2344,369,6,'Addition of Cartesian Vectors',NULL),(2345,369,7,'Position Vectors',NULL),(2346,369,8,'Force Vector Directed Along a Line',NULL),(2347,369,9,'Dot Product',NULL),(2348,370,-1,'',NULL),(2349,370,1,'Condition for the Equilibrium of a Particle',NULL),(2350,370,2,'The Free-Body Diagram',NULL),(2351,370,3,'Coplanar Force Systems',NULL),(2352,370,4,'Three-Dimensional Force Systems',NULL),(2353,371,-1,'',NULL),(2354,371,1,'Moment of a Force-Scalar Formulation',NULL),(2355,371,2,'Cross Product',NULL),(2356,371,3,'Moment of a Force-Vector Formulation',NULL),(2357,371,4,'Principle of Moments',NULL),(2358,371,5,'Moment of a Force about a Specified Axis',NULL),(2359,371,6,'Moment of a Couple',NULL),(2360,371,7,'Simplification of a Force and Couple System',NULL),(2361,371,8,'Further Simplification of a Force and Couple System',NULL),(2362,371,9,'Reduction of a Simple Distributed Loading',NULL),(2363,372,-1,'',NULL),(2364,372,1,'Conditions for Rigid-Body Equilibrium',NULL),(2365,372,2,'Free-Body Diagrams',NULL),(2366,372,3,'Equations of Equilibrium',NULL),(2367,372,4,'Two- and Three-Force Members',NULL),(2368,372,7,'Constraints and Statical Determinacy',NULL),(2369,373,-1,'',NULL),(2370,373,1,'Simple Trusses',NULL),(2371,373,2,'The Method of Joints',NULL),(2372,373,3,'Zero-Force Members',NULL),(2373,373,4,'The Method of Sections',NULL),(2374,373,5,'Space Trusses',NULL),(2375,373,6,'Frames and Machines',NULL),(2376,374,-1,'',NULL),(2377,374,1,'Internal Loadings Developed in Structural Members',NULL),(2378,374,2,'Shear and Moment Equations and Diagrams',NULL),(2379,374,3,'Relations between Distributed Load, Shear, and Moment',NULL),(2380,374,4,'Cables',NULL),(2381,375,-1,'',NULL),(2382,375,1,'Characteristics of Dry Friction',NULL),(2383,375,2,'Problems Involving Dry Friction',NULL),(2384,375,3,'Wedges',NULL),(2385,375,4,'Frictional Forces on Screws',NULL),(2386,375,5,'Frictional Forces on Flat Belts',NULL),(2387,375,6,'Frictional Forces on Collar Bearings, Pivot Bearings, and Disks',NULL),(2388,375,7,'Frictional Forces on Journal Bearings',NULL),(2389,375,8,'Rolling Resistance',NULL),(2390,376,-1,'',NULL),(2391,376,1,'Center of Gravity, Center of Mass, and the Centroid of a Body',NULL),(2392,376,2,'Composite Bodies',NULL),(2393,376,3,'Theorems of Pappus and Guldinus',NULL),(2394,376,4,'Resultant of a General Distributed Loading',NULL),(2395,376,5,'Fluid Pressure',NULL),(2396,377,-1,'',NULL),(2397,377,1,'Definition of Moments of Inertia for Areas',NULL),(2398,377,2,'Parallel-Axis Theorem for an Area',NULL),(2399,377,3,'Radius of Gyration of an Area',NULL),(2400,377,4,'Moments of Inertia for Composite Areas',NULL),(2401,377,5,'Product of Inertia for an Area',NULL),(2402,377,6,'Moments of Inertia for an Area about Inclined Axes',NULL),(2403,377,7,'Mohr\'s Circle for Moments of Inertia',NULL),(2404,377,8,'Mass Moment of Inertia',NULL),(2405,378,-1,'',NULL),(2406,378,1,'Definition of Work',NULL),(2407,378,2,'Principle of Virtual Work',NULL),(2408,378,3,'Principle of Virtual Work for a System of Connected Rigid Bodies',NULL),(2409,378,4,'Conservative Forces',NULL),(2410,378,5,'Potential Energy',NULL),(2411,378,6,'Potential-Energy Criterion for Equilibrium',NULL),(2412,378,7,'Stability of Equilibrium Configuration',NULL),(2413,379,-1,'',NULL),(2414,379,1,'Introduction',NULL),(2415,379,2,'Rectilinear Kinematics: Continuous Motion',NULL),(2416,379,3,'Rectilinear Kinematics: Erratic Motion',NULL),(2417,379,4,'General Curvilinear Motion',NULL),(2418,379,5,'Curvilinear Motion: Rectangular Components',NULL),(2419,379,6,'Motion of a Projectile',NULL),(2420,379,7,'Curvilinear Motion: Normal and Tangential Components',NULL),(2421,379,8,'Curvilinear Motion: Cylindrical Components',NULL),(2422,379,9,'Absolute Dependent Motion Analysis of Two Particles',NULL),(2423,379,10,'Relative-Motion of Two Particles Using Translating Axes',NULL),(2424,380,-1,'',NULL),(2425,380,1,'Newton\'s Second Law of Motion',NULL),(2426,380,2,'The Equation of Motion',NULL),(2427,380,3,'Equation of Motion for a System of Particles',NULL),(2428,380,4,'Equations of Motion: Rectangular Coordinates',NULL),(2429,380,5,'Equations of Motion: Normal and Tangential Coordinates',NULL),(2430,380,6,'Equations of Motion: Cylindrical Coordinates',NULL),(2431,380,7,'Central-Force Motion and Space Mechanics',NULL),(2432,381,-1,'',NULL),(2433,381,1,'The Work of a Force',NULL),(2434,381,2,'Principle of Work and Energy',NULL),(2435,381,3,'Principle of Work and Energy for a System of Particles',NULL),(2436,381,4,'Power and Efficiency',NULL),(2437,381,5,'Conservative Forces and Potential Energy',NULL),(2438,381,6,'Conservation of Energy',NULL),(2439,382,-1,'',NULL),(2440,382,1,'Principle of Linear Impulse and Momentum',NULL),(2441,382,2,'Principle of Linear Impulse and Momentum for a System of Particles',NULL),(2442,382,3,'Conservation of Linear Momentum for a System of Particles',NULL),(2443,382,4,'Impact',NULL),(2444,382,5,'Angular Momentum',NULL),(2445,382,6,'Relation Between Moment of a Force and Angular Momentum',NULL),(2446,382,7,'Principle of Angular Impulse and Momentum',NULL),(2447,382,8,'Steady Flow of a Fluid Stream',NULL),(2448,382,9,'Propulsion with Variable Mass',NULL),(2449,383,-1,'',NULL),(2450,383,1,'Planar Rigid-Body Motion',NULL),(2451,383,2,'Translation',NULL),(2452,383,3,'Rotation about a Fixed Axis',NULL),(2453,383,4,'Absolute Motion Analysis',NULL),(2454,383,5,'Relative-Motion Analysis: Velocity',NULL),(2455,383,6,'Instantaneous Center of Zero Velocity',NULL),(2456,383,7,'Relative-Motion Analysis: Acceleration',NULL),(2457,383,8,'Relative-Motion Analysis using Rotating Axes',NULL),(2458,384,-1,'',NULL),(2459,384,1,'Mass Moment of Inertia',NULL),(2460,384,2,'Planar Kinetic Equations of Motion',NULL),(2461,384,3,'Equations of Motion: Translation',NULL),(2462,384,4,'Equations of Motion: Rotation about a Fixed Axis',NULL),(2463,384,5,'Equations of Motion: General Plane Motion',NULL),(2464,385,-1,'',NULL),(2465,385,1,'Kinetic Energy',NULL),(2466,385,2,'The Work of a Force',NULL),(2467,385,3,'The Work of a Couple Moment',NULL),(2468,385,4,'Principle of Work and Energy',NULL),(2469,385,5,'Conservation of Energy',NULL),(2470,386,-1,'',NULL),(2471,386,1,'Linear and Angular Momentum',NULL),(2472,386,2,'Principle of Impulse and Momentum',NULL),(2473,386,3,'Conservation of Momentum',NULL),(2474,386,4,'Eccentric Impact',NULL),(2475,387,-1,'',NULL),(2476,387,1,'Rotation About a Fixed Point',NULL),(2477,387,2,'The Time Derivative of a Vector Measured from Either a Fixed or Translating-Rotating System',NULL),(2478,387,3,'General Motion',NULL),(2479,387,4,'Relative-Motion Analysis Using Translating and Rotating Axes',NULL),(2480,388,-1,'',NULL),(2481,388,1,'Moments and Products of Inertia',NULL),(2482,388,2,'Angular Momentum',NULL),(2483,388,3,'Kinetic Energy',NULL),(2484,388,4,'Equations of Motion',NULL),(2485,388,5,'Gyroscopic Motion',NULL),(2486,388,6,'Torque-Free Motion',NULL),(2487,389,-1,'',NULL),(2488,389,1,'Undamped Free Vibration',NULL),(2489,389,2,'Energy Methods',NULL),(2490,389,3,'Undamped Forced Vibration',NULL),(2491,389,4,'Viscous Damped Free Vibration',NULL),(2492,389,5,'Viscous Damped Forced Vibration',NULL),(2493,389,6,'Electrical Circuit Analogs',NULL),(2494,390,-1,'',NULL),(2495,390,1,'What Is Mechanics?',NULL),(2496,390,2,'Fundamental Concepts and Principles',NULL),(2497,390,3,'Systems of Units',NULL),(2498,390,4,'Conversion from One System of Units to Another',NULL),(2499,390,5,'Method of Problem Solution',NULL),(2500,390,6,'Numerical Accuracy',NULL),(2501,391,-1,'',NULL),(2502,391,1,'Introduction',NULL),(2503,391,2,'Force on a Particle - Resultant of Two Forces',NULL),(2504,391,3,'Vectors',NULL),(2505,391,4,'Addition of Vectors',NULL),(2506,391,5,'Resultant of Several Concurrent Forces',NULL),(2507,391,6,'Resolution of a Force into Components',NULL),(2508,391,7,'Rectangular Components of a Force - Unit Vectors',NULL),(2509,391,8,'Addition of Forces by Summing x and y Components',NULL),(2510,391,9,'Equilibrium of a Particle',NULL),(2511,391,10,'Newton\'s First Law of Motion',NULL),(2512,391,11,'Problems Involving the Equilibrium of a Particle - Free-Body Diagrams',NULL),(2513,391,12,'Rectangular Components of a Force in Space',NULL),(2514,391,13,'Force Defined by Its Magnitude and Two Points on Its Line of Action',NULL),(2515,391,14,'Addition of Concurrent Forces in Space',NULL),(2516,391,15,'Equilibrium of a Particle in Space',NULL),(2517,392,-1,'',NULL),(2518,392,1,'Introduction',NULL),(2519,392,2,'External and Internal Forces',NULL),(2520,392,3,'Principle of Transmissibility - Equivalent Forces',NULL),(2521,392,4,'Vector Product of Two Vectors',NULL),(2522,392,5,'Vector Products Expressed in Terms of Rectangular Components',NULL),(2523,392,6,'Moment of a Force about a Point',NULL),(2524,392,7,'Varignon\'s Theorem',NULL),(2525,392,8,'Rectangular Components of the Moment of a Force',NULL),(2526,392,9,'Scalar Product of Two Vectors',NULL),(2527,392,10,'Mixed Triple Product of Three Vectors',NULL),(2528,392,11,'Moment of a Force about a Given Axis',NULL),(2529,392,12,'Moment of a Couple',NULL),(2530,392,13,'Equivalent Couples',NULL),(2531,392,14,'Addition of Couples',NULL),(2532,392,15,'Couples Can Be Represented by Vectors',NULL),(2533,392,16,'Resolution of a Given Force Into a Force at One and a Couple',NULL),(2534,392,17,'Reduction of a System of Forces to One Force and One Couple',NULL),(2535,392,18,'Equivalent Systems of Forces',NULL),(2536,392,19,'Equipollent Systems of Vectors',NULL),(2537,392,20,'Further Reduction of a System of Forces',NULL),(2538,392,21,'Reduction of a System of Forces to a Wrench',NULL),(2539,393,-1,'',NULL),(2540,393,1,'Introduction',NULL),(2541,393,2,'Free-Body Diagram',NULL),(2542,393,3,'Reactions at Supports and Connections for a Two-Dimensional Structure',NULL),(2543,393,4,'Equilibrium of a Rigid Body in Two Dimensions',NULL),(2544,393,5,'Statically Indeterminate Reactions - Partial Constraints',NULL),(2545,393,6,'Equilibrium of a Two-Force Body',NULL),(2546,393,7,'Equilibrium of a Three-Force Body',NULL),(2547,393,8,'Equilibrium of a Rigid Body in Three Dimensions',NULL),(2548,393,9,'Reactions at Supports and Connections for a Three-Dimensional Structure',NULL),(2549,394,-1,'',NULL),(2550,394,1,'Introduction',NULL),(2551,394,2,'Center of Gravity of a Two-Dimensional Body',NULL),(2552,394,3,'Centroids of Areas and Lines',NULL),(2553,394,4,'First Moments of Areas and Lines',NULL),(2554,394,5,'Composite Plates and Wires',NULL),(2555,394,6,'Determination of Centroids by Integration',NULL),(2556,394,7,'Theorems of Pappus-Guldinus',NULL),(2557,394,8,'Distributed Loads on Beams',NULL),(2558,394,9,'Forces on Submerged Surfaces',NULL),(2559,394,10,'Center of Gravity of a Three-Dimensional Body - Centroid of a Volume',NULL),(2560,394,11,'Composite Bodies',NULL),(2561,394,12,'Determination of Centroids of Volumes by Integration',NULL),(2562,395,-1,'',NULL),(2563,395,1,'Introduction',NULL),(2564,395,2,'Definition of a Truss',NULL),(2565,395,3,'Simple Trusses',NULL),(2566,395,4,'Analysis of Trusses by the Method of Joints',NULL),(2567,395,5,'Joints under Special Loading Conditions',NULL),(2568,395,6,'Space Trusses',NULL),(2569,395,7,'Analysis of Trusses by the Method of Sections',NULL),(2570,395,8,'Trusses Made of Several Simple Trusses',NULL),(2571,395,9,'Structures Containing Multiforce Members',NULL),(2572,395,10,'Analysis of a Frame',NULL),(2573,395,11,'Frames Which Cease to Be Rigid When Detached from Their Supports',NULL),(2574,395,12,'Machines',NULL),(2575,396,-1,'',NULL),(2576,396,1,'Introduction',NULL),(2577,396,2,'Internal Forces in Members',NULL),(2578,396,3,'Various Types of Loading and Support',NULL),(2579,396,4,'Shear and Bending Moment in a Beam',NULL),(2580,396,5,'Shear and Bending-Moment Diagrams',NULL),(2581,396,6,'Relations among Load, Shear, and Bending Moment',NULL),(2582,396,7,'Cables with Concentrated Loads',NULL),(2583,396,8,'Cables with Distributed Loads',NULL),(2584,396,9,'Parabolic Cable',NULL),(2585,396,10,'Catenary',NULL),(2586,397,-1,'',NULL),(2587,397,1,'Introduction',NULL),(2588,397,2,'The Laws of Dry Friction - Coefficients of Friction',NULL),(2589,397,3,'Angles of Friction',NULL),(2590,397,4,'Problems Involving Dry Friction',NULL),(2591,397,5,'Wedges',NULL),(2592,397,6,'Square-Threaded Screws',NULL),(2593,397,7,'Journal Bearings - Axle Friction',NULL),(2594,397,8,'Thrust Bearings - Disk Friction',NULL),(2595,397,9,'Wheel Friction - Rolling Resistance',NULL),(2596,397,10,'Belt Friction',NULL),(2597,398,-1,'',NULL),(2598,398,1,'Introduction',NULL),(2599,398,2,'Second Moment, or Moment of Inertia, of an Area',NULL),(2600,398,3,'Determination of the Moment of Inertia of an Area by Integration',NULL),(2601,398,4,'Polar Moment of Inertia',NULL),(2602,398,5,'Radius of Gyration of an Area',NULL),(2603,398,6,'Parallel-Axis Theorem',NULL),(2604,398,7,'Moments of Inertia of Composite Areas',NULL),(2605,398,8,'Product of Inertia',NULL),(2606,398,9,'Principal Axes and Principal Moments of Inertia',NULL),(2607,398,10,'Mohr\'s Circle for Moments and Products of Inertia',NULL),(2608,398,11,'Moment of Inertia of a Mass',NULL),(2609,398,13,'Moments of Inertia of Thin Plates',NULL),(2610,398,14,'Determination of the Moment of Inertia of a Three-Dimensi',NULL),(2611,398,15,'Moments of Inertia of Composite Bodies',NULL),(2612,398,16,'Moment of Inertia of a Body with Respect to an Arbitrary Axis through O - Mass Products of Inertia',NULL),(2613,398,17,'Ellipsoid of Inertia - Principal Axes of Inertia',NULL),(2614,398,18,'Determination of the Principal Axes and Principal Moments of Inertia of a Body of Arbitrary Shape',NULL),(2615,399,-1,'',NULL),(2616,399,1,'Introduction',NULL),(2617,399,2,'Work of a Force',NULL),(2618,399,3,'Principle of Virtual Work',NULL),(2619,399,4,'Applications of the Principle of Virtual Work',NULL),(2620,399,5,'Real Machines - Mechanical Efficiency',NULL),(2621,399,6,'Work of a Force during a Finite Displacement',NULL),(2622,399,7,'Potential Energy',NULL),(2623,399,8,'Potential Energy and Equilibrium',NULL),(2624,399,9,'Stability of Equilibrium',NULL),(2625,400,-1,'',NULL),(2626,400,1,'Introduction to Dynamics',NULL),(2627,400,2,'Position, Velocity, and Acceleration',NULL),(2628,400,3,'Determination of the Motion of a Particle',NULL),(2629,400,4,'Uniform Rectilinear Motion',NULL),(2630,400,5,'Uniformly Accelerated Rectilinear Motion',NULL),(2631,400,6,'Motion of Several Particles',NULL),(2632,400,7,'Graphical Solution of Rectilinear-Motion Problems',NULL),(2633,400,8,'Other Graphical Methods',NULL),(2634,400,9,'Position Vector, Velocity, and Acceleration',NULL),(2635,400,10,'Derivatives of Vector Functions',NULL),(2636,400,11,'Rectangular Components of Velocity and Acceleration',NULL),(2637,400,12,'Motion Relative to a Frame in Translation',NULL),(2638,400,13,'Tangential and Normal Components',NULL),(2639,400,14,'Radial and Transverse Components',NULL),(2640,401,-1,'',NULL),(2641,401,1,'Introduction',NULL),(2642,401,2,'Newton\'s Second Law of Motion',NULL),(2643,401,3,'Linear Momentum of a Particle - Rate of Change of Linear Momentum',NULL),(2644,401,4,'Systems of Units',NULL),(2645,401,5,'Equations of Motion',NULL),(2646,401,6,'Dynamic Equilibrium',NULL),(2647,401,7,'Angular Momentum of a Particle - Rate of Change of Angular Momentum',NULL),(2648,401,8,'Equations of Motion in Terms of Radial and Transverse Components',NULL),(2649,401,9,'Motion under a Central Force - Conservation of Angular Momentum',NULL),(2650,401,10,'Newton\'s Law of Gravitation',NULL),(2651,401,11,'Trajectory of a Particle under a Central Force',NULL),(2652,401,12,'Application to Space Mechanics',NULL),(2653,401,13,'Kepler\'s Laws of Planetary Motion',NULL),(2654,402,-1,'',NULL),(2655,402,1,'Introduction',NULL),(2656,402,2,'Work of a Force',NULL),(2657,402,3,'Kinetic Energy of a Particle - Principle of Work and Energy',NULL),(2658,402,4,'Applications of the Principle of Work and Energy',NULL),(2659,402,5,'Power and Efficiency',NULL),(2660,402,6,'Potential Energy',NULL),(2661,402,7,'Conservative Forces',NULL),(2662,402,8,'Conservation of Energy',NULL),(2663,402,9,'Motion under a Conservative Central Force - Application to Space Mecha',NULL),(2664,402,10,'Principle of Impulse and Momentum',NULL),(2665,402,11,'Impulsive Motion',NULL),(2666,402,12,'Impact',NULL),(2667,402,13,'Direct Central Impact',NULL),(2668,402,14,'Oblique Central Impact',NULL),(2669,402,15,'Problems Involving Energy and Momentum',NULL),(2670,403,-1,'',NULL),(2671,403,1,'Introduction',NULL),(2672,403,2,'Application of Newton\'s Laws to the Motion of a System of Particles - Effective Forces',NULL),(2673,403,3,'Linear and Angular Momentum of a System of Particles',NULL),(2674,403,4,'Motion of the Mass Center of a System of Particles',NULL),(2675,403,5,'Angular Momentum of a System of Particles about Its Mass Center',NULL),(2676,403,6,'Conservation of Momentum for a System of Particles',NULL),(2677,403,7,'Kinetic Energy of a System of Particles',NULL),(2678,403,8,'Work-Energy Principle - Conservation of Energy for a System of Particles',NULL),(2679,403,9,'Principle of Impulse and Momentum for a System of Particles',NULL),(2680,403,10,'Variable Systems of Particles',NULL),(2681,403,11,'Steady Stream of Particles',NULL),(2682,403,12,'Systems Gaining or Losing Mass',NULL),(2683,404,-1,'',NULL),(2684,404,1,'Introduction',NULL),(2685,404,2,'Translation',NULL),(2686,404,3,'Rotation about a Fixed Axis',NULL),(2687,404,4,'Equations Defining the Rotation of a Rigid Body about a Fixed Axis',NULL),(2688,404,5,'General Plane Motion',NULL),(2689,404,6,'Absolute and Relative Velocity in Plane Motion',NULL),(2690,404,7,'Instantaneous Center of Rotation in Plane Motion',NULL),(2691,404,8,'Absolute and Relative Acceleration in Plane Motion',NULL),(2692,404,9,'Analysis of Plane Motion in Terms of a Parameter',NULL),(2693,404,10,'Rate of Change of a Vector with Respect to a Rotating Frame',NULL),(2694,404,11,'Plane Motion of a Particle Relative to a Rotating Frame - Coriolis Acceleration',NULL),(2695,404,12,'Motion about a Fixed Point',NULL),(2696,404,13,'General Motion',NULL),(2697,404,14,'Three-Dimensional Motion of a Particle Relative to a Rotating Frame - Coriolis Acceleration',NULL),(2698,404,15,'Frame of Reference in General Motion',NULL),(2699,405,-1,'',NULL),(2700,405,1,'Introduction',NULL),(2701,405,2,'Equations of Motion for a Rigid Body',NULL),(2702,405,3,'Angular Momentum of a Rigid Body in Plane Motion',NULL),(2703,405,4,'Plane Motion of a Rigid Body - d\'Alembert\'s Principle',NULL),(2704,405,5,'A Remark on the Axioms of the Mechanics of Rigid Bodies',NULL),(2705,405,6,'Solution of Problems Involving the Motion of a Rigid Body',NULL),(2706,405,7,'Systems of Rigid Bodies',NULL),(2707,405,8,'Constrained Plane Motion',NULL),(2708,406,-1,'',NULL),(2709,406,1,'Introduction',NULL),(2710,406,2,'Principle of Work and Energy for a Rigid Body',NULL),(2711,406,3,'Work of Forces Acting on a Rigid Body',NULL),(2712,406,4,'Kinetic Energy of a Rigid Body in Plane Motion',NULL),(2713,406,5,'Systems of Rigid Bodies',NULL),(2714,406,6,'Conservation of Energy',NULL),(2715,406,7,'Power',NULL),(2716,406,8,'Principle of Impulse and Momentum for the Plane Motion of a Rigid Body',NULL),(2717,406,10,'Conservation of Angular Momentum',NULL),(2718,406,11,'Impulsive Motion',NULL),(2719,406,12,'Eccentric Impact',NULL),(2720,407,-1,'',NULL),(2721,407,1,'Introduction',NULL),(2722,407,2,'Angular Momentum of a Rigid Body in Three Dimensions',NULL),(2723,407,3,'Application of the Principle of Impulse and Momentum to the Three Dimensional Motion of a Rigid Body',NULL),(2724,407,4,'Kinetic Energy of a Rigid Body in Three Dimensions',NULL),(2725,407,5,'Motion of a Rigid Body in Three Dimensions',NULL),(2726,407,6,'Euler\'s Equations of Motion - Extension of d\'Alembert\'s Principle to the Motion of a Rigid Body in Three Dimensions',NULL),(2727,407,7,'Motion of a Rigid Body about a Fixed Point',NULL),(2728,407,8,'Rotation of a Rigid Body about a Fixed Axis',NULL),(2729,407,9,'Motion of a Gyroscope - Eulerian Angles',NULL),(2730,407,10,'Steady Precession of a Gyroscope',NULL),(2731,407,11,'Motion of an Axisymmetrical Body under No Force',NULL),(2732,408,-1,'',NULL),(2733,408,1,'Introduction',NULL),(2734,408,2,'Free Vibrations of Particles - Simple Harmonic Motion',NULL),(2735,408,3,'Simple Pendulum (Approximate Solution)',NULL),(2736,408,4,'Simple Pendulum (Exact Solution)',NULL),(2737,408,5,'Free Vibrations of Rigid Bodies',NULL),(2738,408,6,'Application of the Principle of Conservation of Energy',NULL),(2739,408,7,'Forced Vibrations',NULL),(2740,408,8,'Damped Free Vibrations',NULL),(2741,408,9,'Damped Forced Vibrations',NULL),(2742,408,10,'Electrical Analogues',NULL),(2743,409,-1,'',NULL),(2744,409,1,'Mechanics',NULL),(2745,409,2,'Basic Concepts',NULL),(2746,409,3,'Scalars and Vectors',NULL),(2747,409,4,'Newton\'s Laws',NULL),(2748,409,5,'Units',NULL),(2749,409,6,'Law of Gravitation',NULL),(2750,409,7,'Accuracy, Limits, and Approximations',NULL),(2751,409,8,'Problem Solving in Statics',NULL),(2752,410,-1,'',NULL),(2753,410,1,'Introduction',NULL),(2754,410,2,'Force',NULL),(2755,410,3,'Rectangular Components',NULL),(2756,410,4,'Moment',NULL),(2757,410,5,'Couple',NULL),(2758,410,6,'Resultants',NULL),(2759,410,8,'Moment and Couple',NULL),(2760,411,-1,'',NULL),(2761,411,1,'Introduction',NULL),(2762,411,2,'System Isolation and the Free-Body Diagram',NULL),(2763,411,3,'Equilibrium Conditions',NULL),(2764,412,-1,'',NULL),(2765,412,1,'Introduction',NULL),(2766,412,2,'Plane Trusses',NULL),(2767,412,3,'Method of Joints',NULL),(2768,412,4,'Method of Sections',NULL),(2769,412,5,'Space Trusses',NULL),(2770,412,6,'Frames and Machines',NULL),(2771,413,-1,'',NULL),(2772,413,1,'Introduction',NULL),(2773,413,2,'Center of Mass',NULL),(2774,413,3,'Centroids of Lines, Areas, and Volumes',NULL),(2775,413,4,'Composite Bodies and Figures; Approximations',NULL),(2776,413,5,'Theorems of Pappus',NULL),(2777,413,6,'Beams-External Effects',NULL),(2778,413,7,'Beams-Internal Effects',NULL),(2779,413,8,'Flexible Cables',NULL),(2780,413,9,'Fluid Statics',NULL),(2781,414,-1,'',NULL),(2782,414,1,'Introduction',NULL),(2783,414,2,'Types of Friction',NULL),(2784,414,3,'Dry Friction',NULL),(2785,414,4,'Wedges',NULL),(2786,414,5,'Screws',NULL),(2787,414,6,'Journal Bearings',NULL),(2788,414,7,'Thrust Bearings; Disk Friction',NULL),(2789,414,8,'Flexible Belts',NULL),(2790,414,9,'Rolling Resistance',NULL),(2791,415,-1,'',NULL),(2792,415,1,'Introduction',NULL),(2793,415,2,'Work',NULL),(2794,415,3,'Equilibrium',NULL),(2795,415,4,'Potential Energy and Stability',NULL),(2796,416,-1,'',NULL),(2797,416,1,'History and Modern Applications',NULL),(2798,416,2,'Basic Concepts',NULL),(2799,416,3,'Newton\'s Laws',NULL),(2800,416,4,'Units',NULL),(2801,416,5,'Gravitation',NULL),(2802,416,6,'Dimensions',NULL),(2803,416,7,'Solving Problems in Dynamics',NULL),(2804,417,-1,'',NULL),(2805,417,1,'Introduction',NULL),(2806,417,2,'Rectilinear Motion',NULL),(2807,417,3,'Plane Curvilinear Motion',NULL),(2808,417,4,'Rectangular Coordinates (x-y)',NULL),(2809,417,5,'Normal and Tangential Coordinates (n-t)',NULL),(2810,417,6,'Polar Coordinates (r-theta)',NULL),(2811,417,7,'Space Curvilinear Motion',NULL),(2812,417,8,'Relative Motion (Translating Axes)',NULL),(2813,417,9,'Constrained Motion of Connected Particles',NULL),(2814,418,-1,'',NULL),(2815,418,1,'Introduction',NULL),(2816,418,2,'Newton\'s Second Law',NULL),(2817,418,3,'Equation of Motion and Solution of Problems',NULL),(2818,418,4,'Rectilinear Motion',NULL),(2819,418,5,'Curvilinear Motion',NULL),(2820,418,6,'Work and Kinetic Energy',NULL),(2821,418,7,'Potential Energy',NULL),(2822,418,9,'Linear Impulse and Linear Momentum',NULL),(2823,418,10,'Angular Impulse and Angular Momentum',NULL),(2824,418,12,'Impact',NULL),(2825,418,13,'Central-Force Motion',NULL),(2826,418,14,'Relative Motion',NULL),(2827,419,-1,'',NULL),(2828,419,1,'Introduction',NULL),(2829,419,2,'Generalized Newton\'s Second Law',NULL),(2830,419,3,'Work-Energy',NULL),(2831,419,4,'Impulse-Momentum',NULL),(2832,419,5,'Conservation of Energy and Momentum',NULL),(2833,419,6,'Steady Mass Flow',NULL),(2834,419,7,'Variable Mass',NULL),(2835,420,-1,'',NULL),(2836,420,1,'Introduction',NULL),(2837,420,2,'Rotation',NULL),(2838,420,3,'Absolute Motion',NULL),(2839,420,4,'Relative Velocity',NULL),(2840,420,5,'Instantaneous Center of Zero Velocity',NULL),(2841,420,6,'Relative Acceleration',NULL),(2842,420,7,'Motion Relative to Rotating Axes',NULL),(2843,421,-1,'',NULL),(2844,421,1,'Introduction',NULL),(2845,421,2,'General Equations of Motion',NULL),(2846,421,3,'Translation',NULL),(2847,421,4,'Fixed-Axis Rotation',NULL),(2848,421,5,'General Plane Motion',NULL),(2849,421,6,'Work-Energy Relations',NULL),(2850,421,7,'Acceleration from Work-Energy; Virtual Work',NULL),(2851,421,8,'Impulse-Momentum Equations',NULL),(2852,422,-1,'',NULL),(2853,422,1,'Introduction',NULL),(2854,422,2,'Translation',NULL),(2855,422,3,'Fixed-Axis Rotation',NULL),(2856,422,4,'Parallel-Plane Motion',NULL),(2857,422,5,'Rotation about a Fixed Point',NULL),(2858,422,6,'General Motion',NULL),(2859,422,7,'Angular Momentum',NULL),(2860,422,8,'Kinetic Energy',NULL),(2861,422,9,'Momentum and Energy Equations of Motion',NULL),(2862,422,11,'Gyroscopic Motion: Steady Precession',NULL),(2863,423,-1,'',NULL),(2864,423,1,'Introduction',NULL),(2865,423,2,'Free Vibration of Particles',NULL),(2866,423,3,'Forced Vibration of Particles',NULL),(2867,423,4,'Vibration of Rigid Bodies',NULL),(2868,423,5,'Energy Methods',NULL),(2869,424,2,'Applications - Newton\'s law of cooling',NULL),(2870,424,4,'Applications - logistic',NULL),(2871,424,3,'Euler',NULL),(2872,424,1,'Separable',NULL),(2873,424,5,'Applications - other',NULL),(2874,425,8,'Newton\'s method',NULL),(2875,425,6,'Summary of curve sketching',NULL),(2876,425,4,'Concavity and points of inflection',NULL),(2877,425,2,'Global extrema',NULL),(2878,425,1,'Linear approximation and differentials',NULL),(2879,425,7,'Optimization - general',NULL),(2880,425,3,'Increasing/decreasing functions and local extrema',NULL),(2881,425,9,'Indefinite integrals (with trigonometric functions)',NULL),(2882,425,5,'Indeterminate forms and L\'Hopital\'s rule',NULL),(2883,426,6,'Improper integrals',NULL),(2884,426,5,'Partial fractions',NULL),(2885,427,1,'Integration by parts (with trigonometric functions)',NULL),(2886,426,1,'Integration by parts (without trigonometric functions)',NULL),(2887,426,2,'Trigonometric integrals',NULL),(2888,428,3,'Trigonometric integrals',NULL),(2889,427,2,'Trigonometric integrals',NULL),(2890,426,8,'Approximation',NULL),(2891,426,3,'Trigonometric substitution',NULL),(2892,426,4,'Hyperbolic functions',NULL),(2893,429,4,'Taylor polynomials',NULL),(2894,429,3,'Center of gravity',NULL),(2895,429,1,'Surfaces of revolution',NULL),(2896,429,2,'Hydrostatic pressure',NULL),(2897,430,2,'Estimating limits numerically',NULL),(2898,430,3,'Rules of limits - basic',NULL),(2899,430,6,'Evaluating limits - trigonometric',NULL),(2900,430,1,'Estimating limits numerically',NULL),(2901,430,5,'Evaluating limits - factoring',NULL),(2902,430,8,'Continuity - intermediate value theorem',NULL),(2903,430,4,'Continuity - classifying discontinuities',NULL),(2904,431,2,'Conceptual understanding of integration',NULL),(2905,431,5,'Biology',NULL),(2906,431,8,'Other physics and engineering applications',NULL),(2907,431,6,'Substitution (without trigonometric functions)',NULL),(2908,431,7,'Indefinite integrals (with trigonometric functions)',NULL),(2909,431,3,'Definite integrals (without trigonometric functions)',NULL),(2910,431,4,'Fundamental theorem of calculus',NULL),(2911,431,1,'Riemann sums',NULL),(2912,432,5,'Surface integrals of vector fields',NULL),(2913,432,3,'Line integrals',NULL),(2914,432,4,'Surface integrals of 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exponents',NULL),(3108,503,2,'Power functions',NULL),(3109,497,2,'Properties',NULL),(3110,503,4,'Direct variation',NULL),(3111,499,1,'Exponential functions',NULL),(3112,508,2,'Applications and models',NULL),(3113,495,1,'Graphs',NULL),(3114,507,4,'Parallel and perpendicular lines',NULL),(3115,501,4,'Equations of lines: point-slope form',NULL),(3116,501,2,'Linear equations',NULL),(3117,507,2,'Equations of lines: slope-intercept form',NULL),(3118,505,1,'Linear equations',NULL),(3119,506,1,'Domain and range',NULL),(3120,495,3,'Polynomial equations',NULL),(3121,506,3,'Interpretation and applications',NULL),(3122,495,2,'Applications and models',NULL),(3123,509,2,'Forms: vertex, factored, general',NULL),(3124,506,4,'Finding the inverse function',NULL),(3125,510,4,'Finding the inverse function',NULL),(3126,508,3,'Algebraic expressions',NULL),(3127,497,3,'Polynomials: multiply',NULL),(3128,508,1,'Evaluating expressions',NULL),(3129,503,1,'Applications of power 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functions)',NULL),(3214,546,4,'Work',NULL),(3215,547,4,'Work',NULL),(3216,471,2,'Permutations',NULL),(3217,548,-1,'',NULL),(3218,549,-1,'',NULL),(3219,535,5,'Summary of curve sketching',NULL),(3220,550,3,'Substitution (with trigonometric functions)',NULL),(3221,537,5,'Continuity - concept of',NULL),(3222,551,8,'Improper integrals',NULL),(3223,552,5,'Applications',NULL),(3224,553,2,'Verification of solutions',NULL),(3225,554,1,'Classifications of differential equations',NULL),(3226,555,4,'Classifications of differential equations',NULL),(3227,556,4,'Exact',NULL),(3228,557,4,'Exact',NULL),(3229,553,5,'Exact',NULL),(3230,558,-1,'',NULL),(3231,559,-1,'',NULL),(3232,560,1,'Rules of inference',NULL),(3233,561,1,'Increasing/decreasing functions and local extrema',NULL),(3234,562,4,'Classifications of differential equations',NULL),(3235,563,3,'Product rule (without trigonometric functions)',NULL),(3236,562,1,'Distance, velocity, acceleration',NULL),(3237,563,7,'Chain rule (without 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functions',NULL),(3382,594,3,'Graphs, flows lines, and level surfaces',NULL),(3383,593,1,'Substitution (without trigonometric functions)',NULL),(3384,584,4,'Chain rule (without trigonometric functions)',NULL),(3385,579,6,'Chain rule',NULL),(3386,590,2,'Traces, contours, and level sets',NULL),(3387,593,3,'Tables of integrals',NULL),(3388,584,8,'Derivatives of hyperbolic functions',NULL),(3389,586,2,'Exponential functions',NULL),(3390,595,2,'Extreme values and optimization',NULL),(3391,576,2,'Definite integrals (without trigonometric functions)',NULL),(3392,593,5,'Approximation',NULL),(3393,577,4,'Planes',NULL),(3394,584,5,'Product rule (with trigonometric functions)',NULL),(3395,584,10,'Mean value theorem',NULL),(3396,594,1,'Parameterized curves',NULL),(3397,591,5,'Triple integrals in cylindrical and spherical',NULL),(3398,584,3,'Quotient rule (without trigonometric functions)',NULL),(3399,574,3,'Optimization - general',NULL),(3400,581,2,'Direction 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factoring',NULL),(3627,684,-1,'',NULL),(3628,654,6,'Properties of exponents',NULL),(3629,669,1,'Applications and models',NULL),(3630,676,2,'Compositions and combinations of functions',NULL),(3631,685,-1,'',NULL),(3632,686,-1,'',NULL),(3633,676,1,'Function notation',NULL),(3634,669,2,'Polynomials: multiply',NULL),(3635,687,-1,'',NULL),(3636,677,2,'Applications and models',NULL),(3637,679,2,'Simplifying expressions',NULL),(3638,669,5,'Factoring by grouping',NULL),(3639,688,1,'Domain and range',NULL),(3640,244,5,'Effective and nominal rates of interest',NULL),(3641,689,-1,'',NULL),(3642,690,-1,'',NULL),(3643,691,-1,'',NULL),(3644,692,-1,'',NULL),(3645,693,-1,'',NULL),(3646,694,-1,'',NULL),(3647,695,-1,'',NULL),(3648,696,-1,'',NULL),(3649,697,-1,'',NULL),(3650,469,1,'Related rates',NULL),(3651,469,3,'Summary of curve sketching',NULL),(3652,469,2,'Increasing/decreasing functions and local extrema',NULL),(3653,466,5,'Infinite limits and vertical asymptotes',NULL),(3654,466,4,'Continuity - 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multiply',NULL),(3696,706,2,'Plotting points',NULL),(3697,707,5,'Polynomials: divide',NULL),(3698,705,7,'Solving equations',NULL),(3699,552,6,'Partial fractions',NULL),(3700,471,4,'Expectation',NULL),(3701,708,-1,'',NULL),(3702,709,4,'Hyperbolas',NULL),(3703,704,1,'Arithmetic',NULL),(3704,706,1,'Graphs of lines',NULL),(3705,710,2,'Remainder and factor theorems',NULL),(3706,711,7,'Scientific notation',NULL),(3707,712,6,'Inequalities involving polynomials',NULL),(3708,472,5,'Graphs',NULL),(3709,711,3,'Properties of rational exponents and radicals',NULL),(3710,472,1,'Exponential and logarithmic equations',NULL),(3711,711,2,'Properties of rational exponents and radicals',NULL),(3712,709,5,'Nonlinear systems',NULL),(3713,706,3,'Linear inequalities',NULL),(3714,472,4,'Exponential and logarithmic equations',NULL),(3715,471,3,'Probability: direct computation, inclusion/exclusion',NULL),(3716,710,3,'Remainder and factor theorems',NULL),(3717,708,7,'Solving equations with absolute values',NULL),(3718,552,4,'Properties',NULL),(3719,471,6,'Probability: direct computation, inclusion/exclusion',NULL),(3720,708,6,'Linear inequalities',NULL),(3721,705,1,'Polynomials: add, subtract',NULL),(3722,710,6,'Asymptotes',NULL),(3723,712,1,'Conversion to a + bi form',NULL),(3724,712,4,'Quadratic formula',NULL),(3725,688,5,'Reflect and shift',NULL),(3726,705,6,'Factoring trinomials',NULL),(3727,707,2,'Simplifying',NULL),(3728,705,5,'Polynomial equations',NULL),(3729,704,3,'Arithmetic',NULL),(3730,711,1,'Properties of exponents',NULL),(3731,708,1,'Linear equations',NULL),(3732,707,3,'Addition/subtraction',NULL),(3733,712,5,'Rational equations',NULL),(3734,708,5,'Linear inequalities',NULL),(3735,711,6,'Properties of rational exponents and radicals',NULL),(3736,708,3,'Applications and models',NULL),(3737,708,4,'Linear equations',NULL),(3738,472,2,'Compound interest',NULL),(3739,707,4,'Simplifying',NULL),(3740,688,6,'Compositions and combinations of 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and models',NULL),(3885,765,-1,'',NULL),(3886,766,3,'Optimization - business and economics',NULL),(3887,767,1,'Work of a force',NULL),(3888,768,2,'General plane motion',NULL),(3889,769,1,'Rotation about a fixed axis',NULL),(3890,770,1,'System of units',NULL),(3891,771,3,'Equations of motion',NULL),(3892,772,5,'General plane motion',NULL),(3893,773,1,'Angular impulse and momentum',NULL),(3894,774,1,'Equations of motion',NULL),(3895,770,2,'Ohm\'s law',NULL),(3896,775,3,'Rotation about a fixed axis',NULL),(3897,767,2,'Work of a force',NULL),(3898,775,2,'Rotation about a fixed axis',NULL),(3899,771,5,'Equations of motion',NULL),(3900,775,1,'Rotation about a fixed axis',NULL),(3901,770,4,'Ohm\'s law',NULL),(3902,772,4,'General plane motion',NULL),(3903,776,1,'Circuits with series-parallel resistor combinations',NULL),(3904,771,4,'Equations of motion',NULL),(3905,772,3,'General plane motion',NULL),(3906,768,4,'General plane motion',NULL),(3907,773,5,'Conservation of 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oss_multiplication',276,7497),(1244,'Solve',237,19188),(1245,'solveFc',206,7078),(1246,'Population_GrowthFactor',291,28893),(1247,'findInitialValueGrowthFactor',285,28919),(1248,'FactorGrowthDecay',293,7096),(1249,'Population_double',291,7126),(1250,'ChangeOfVariable',206,7120),(1251,'Radicals',206,7114),(1252,'graphicEval',207,26270),(1253,'ccf-subs-comp',210,30252),(1254,'FindExpModelFromData',293,15229),(1255,'ELEqMLT4J',288,29307),(1256,'ELEqMLT4F',288,7147),(1257,'ELEqMLT4H',288,27874),(1258,'ELEqMLT4I',288,15221),(1259,'GraphProblems',1310,7173),(1260,'Is_it_linear_from_table_formula_if_so',233,7176),(1261,'TotalFromParts',237,34766),(1262,'MLT09',229,7204),(1263,'matchgraphfnc',236,27776),(1264,'MLT12',229,7479),(1265,'add_subtract',187,34079),(1266,'x_both_integers',187,12806),(1267,'SaysToUseNotation',235,7269),(1268,'RatExp2',250,7294),(1269,'ExponentsFillBoxes',194,20292),(1270,'Quotient_in_power',194,26971),(1271,'ParamExponents',194,7299),(1272,'WithExponents',1395,26447),(1273,'RationalWithExponent',1408,10254),(1274,'expressionToConstAndPower',266,28630),(1275,'monomial_times_polynomial',186,7346),(1276,'SquareBinomial',248,7643),(1277,'common_factors_binomials_one_var',200,7353),(1278,'trinomials',204,11891),(1279,'common_factors_trinomials_one_var',200,26279),(1280,'writePowerEquationGivenData',266,7372),(1281,'identifyExponentialFunctions',285,7381),(1282,'findInitialValueDecayFactor',285,7383),(1283,'just_division_fractions',187,13492),(1284,'check_sol_1var',187,7416),(1285,'LikeThisF',245,12416),(1286,'ptslope1',230,7438),(1287,'ptslope2',230,7456),(1288,'MLT07',229,7442),(1289,'ptslope',230,30057),(1290,'match1',236,7464),(1291,'Variable_intermsof_variables',234,7500),(1292,'Function_wordProblem_DomainRange',212,7526),(1293,'algebra_functions_domain_range_graph_linear',208,27177),(1294,'Function_wordProblem_DomainRangeAndMore',212,12534),(1295,'cts_solve_non_monic',239,13154),(1296,'QF_find_disc',240,7546),(1297,'ProductOfBinomialsEqualConstant',242,30411),(1298,'cts_solve_monic',239,7554),(1299,'Function_workProblem_ScalingInputOutput',212,7574),(1300,'InverseFunctions_FindInverse_05',283,7616),(1301,'ComposingInverses',284,45381),(1302,'AlgFac7',202,26593),(1303,'Multiply3poly',248,7667),(1304,'common_factors_binomials_multi_var',200,26278),(1305,'Multiply1VarPoly',248,30478),(1306,'MultiplySeveralVarPoly',248,27198),(1307,'AlgFac6',202,26383),(1308,'AlgFac8',202,11894),(1309,'AlgFac9',202,11892),(1310,'factor_grouping_simple',201,7654),(1311,'grouping',204,11882),(1312,'complexDiffSq',203,27332),(1313,'Ax_over_a_plus_x',275,7688),(1314,'graphToOddOrEvenPower',266,45255),(1315,'lin_indep_02',364,7714),(1316,'spring_mass_metric',355,7721),(1317,'undet_05',361,7723),(1318,'undet_06',361,7729),(1319,'lin_indep_03',364,7731),(1320,'repeated_second_order_general_dot',357,7736),(1321,'spring_mass_a_b',355,7742),(1322,'spring_mass_a_d',355,7743),(1323,'step_04',372,7745),(1324,'App_02',367,7746),(1325,'impulse_01',371,7755),(1326,'forward_05',368,7758),(1327,'forward_06',368,7759),(1328,'step_03',372,7760),(1329,'inverse_05',369,7761),(1330,'step_05',372,7763),(1331,'forward_03',368,7768),(1332,'inverse_04',369,7779),(1333,'inverse_02',369,7803),(1334,'forward_04',368,7806),(1335,'inverse_03',369,7780),(1336,'convolution_02',370,7793),(1337,'convolution_01',370,7792),(1338,'step_08',372,7795),(1339,'step_06',372,7915),(1340,'shift_01',373,7805),(1341,'step_02',372,7798),(1342,'inverse_01',369,7800),(1343,'SDE-PP-CR',382,7807),(1344,'SDE-PP-DRE',382,7812),(1345,'SDE-RR-noICs',379,7822),(1346,'SDE-RR-IVP',379,7821),(1347,'SDE-RR-find_matrix',379,7824),(1348,'SDE-MN-matrix_derivatives',374,7832),(1349,'SDE-MN-setup_only',374,7849),(1350,'SDE-A-mixture',376,7885),(1351,'SDE-DRE-IVP',377,7866),(1352,'SDE-NH-IVP',381,7882),(1353,'SDE-VS-find_parameters',375,7842),(1354,'SDE-DRE-LI',377,7875),(1355,'SDE-R1O-ICs',380,11165),(1356,'SDE-RR-LI',379,7857),(1357,'SDE-DRE-evec_only',377,7877),(1358,'SDE-A-springs_n_things',376,7886),(1359,'eq_pt_06',343,7892),(1360,'d_field_03',350,7897),(1361,'eq_pt_01',343,10863),(1362,'bifurcations_matching',352,7921),(1363,'undet_01',361,9922),(1364,'Separable_Setup',341,7934),(1365,'classify-standard',338,7942),(1366,'classify_order_linear_dot',338,13233),(1367,'FTC_07',69,12949),(1368,'graphs',66,26669),(1369,'integral_concept_areainterp_split',61,NULL),(1370,'Indeterminate-SubtractionWithTrig',58,8135),(1371,'FillTable',93,8136),(1372,'curl_div_5',175,8171),(1373,'tcl_match_verbal_3d',152,8179),(1374,'IdentifyRegionReverseOrderAndEvaluate',161,8181),(1375,'EvaluateIteratedIntegralPolynomials',160,8182),(1376,'GivenRegionSetUpLimitsBothOrder',162,8183),(1377,'IdentifyRegionAndEvaluate',161,8188),(1378,'OverTriangleGivenVertices',162,8189),(1379,'GivenRegionSetUpLimits',162,8190),(1380,'EvaluateDblIntOverTriangularRegion',162,8193),(1381,'SelectPositiveNegZeroGivenPortionOfCircle',162,8199),(1382,'RiemannSumLeftRightOverUnder',160,8196),(1383,'RiemannSumUsingTable',1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+/*!40000 ALTER TABLE `OPL_pgfile_problem` ENABLE KEYS */; +UNLOCK TABLES; +/*!40103 SET TIME_ZONE=@OLD_TIME_ZONE */; + +/*!40101 SET SQL_MODE=@OLD_SQL_MODE */; +/*!40014 SET FOREIGN_KEY_CHECKS=@OLD_FOREIGN_KEY_CHECKS */; +/*!40014 SET UNIQUE_CHECKS=@OLD_UNIQUE_CHECKS */; +/*!40101 SET CHARACTER_SET_CLIENT=@OLD_CHARACTER_SET_CLIENT */; +/*!40101 SET CHARACTER_SET_RESULTS=@OLD_CHARACTER_SET_RESULTS */; +/*!40101 SET COLLATION_CONNECTION=@OLD_COLLATION_CONNECTION */; +/*!40111 SET SQL_NOTES=@OLD_SQL_NOTES */; + +-- Dump completed on 2024-08-13 17:22:36