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<?xml version="1.0" encoding="UTF-8"?>
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<Task-category name="<default>"/>
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<Task/>
<Group labelreference="L1" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">with(Mat1Tools):</Text-field>
</Input>
</Group>
<Group labelreference="L2" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">Describe(Mat1Tools:-pint);</Text-field>
</Input>
<Output><Text-field style="Line Printed Output" layout="Line Printed Output">
# Paramatric equation integration (pint) integrates the parametric equation
# given in the given intervals, optionally with the provided weight function.
pint( r::{procedure}, integrateRange::{list(range)}, f::{procedure} := 1 )
</Text-field>
</Output>
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<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1">Surface (2 variables)</Text-field></Title>
<Group hide-input="false" labelreference="L5" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">r := unapply(<u*cos(v),u*sin(v),u^2>,[u,v]):
r(u,v);
intervals := [0..2,0..Pi/2];</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSppbnRlcnZhbHNHRig3JDsiIiEiIiM7RjAsJEkjUGlHRiYjIiIiRjE3I0Yu</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L7" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">pint(r,intervals);</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYqJkkjUGlHJSpwcm90ZWN0ZWRHIiIiIiM8I0YmIiIjI0YnIiNDRiQjISIiRis=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L8" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field style="Text" bold="true" layout="Normal"><Font bold="true">With weight function:</Font></Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L9" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">f:=(x,y,z)->z^2;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJmR0YoZio2JUkieEdGKEkieUdGKEkiekdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiQ5JiIiI0YoRihGKDcjRi4=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">pint(r,intervals,f)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYqJkkjUGlHJSpwcm90ZWN0ZWRHIiIiIiM8I0YmIiIjIyIlcHgiJSFvIkYkIyEiIkYs</Equation></Text-field>
</Output>
</Group>
</Section>
</Worksheet>