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155 lines (154 loc) · 33.2 KB
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<Input><Text-field prompt="> " style="Maple Input" layout="Normal">with(Mat1Tools):</Text-field>
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<Input><Text-field prompt="> " style="Maple Input" layout="Normal">Describe(Mat1Tools:-jacobi)</Text-field>
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# Computes the jacobi function of a parametric equation variable of up to 3
# variables
jacobi( r::{procedure} )
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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">Curve (1 variable)</Text-field></Title>
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<Input><Text-field prompt="> " style="Maple Input" layout="Normal">r := unapply(<6*cos(u),6*sin(u),u>,u):
r(u)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyNYKkkpYW55dGhpbmdHRiZGKEYoW2dsISMlISEhIiQiJC1JJW1yb3dHNiRGJi9JK21vZHVsZW5hbWVHRihGJDYlLUkjbW5HRjA2I1EiNkYoLUkjbW9HRjA2I1ExJkludmlzaWJsZVRpbWVzO0YoLUYvNiUtSSNtaUdGMDYkUSRjb3NGKC9JKmZvbnRzdHlsZUdGKFEnbm9ybWFsRigtRjk2I1EwJkFwcGx5RnVuY3Rpb247RigtSShtZmVuY2VkR0YwNiMtRj82I1EidUYoLUYvNiVGNEY4LUYvNiUtRj82JFEkc2luRihGQkZFRkhGSzcjLSZJJ1ZlY3RvckdGJTYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCI1ISlSIWUpUnEhXCQqbyQ=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L8" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">jacobi(r)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkmbXNxcnRHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2Iy1JI21uR0YkNiRRIzM3RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">KiQiI1AjIiIiIiIj</Equation></Text-field>
</Output>
</Group>
</Section>
<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="L4" 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)</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>
</Group>
<Group hide-input="false" labelreference="L6" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">jacobi(r)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiYsJiokSSJ1RzYiIiIjIiIlIiIiRikjRilGJy1JJGFic0clKnByb3RlY3RlZEc2I0YlRik=</Equation></Text-field>
</Output>
</Group>
</Section>
<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">Triple integral</Text-field></Title>
<Group hide-input="false" labelreference="L9" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">r := unapply(<cos(w)*u, sin(w)*u, v*cos(u) + (1 - v)*sin(u)>,u,v,w):
r(u,v,w)</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>
</Group>
<Group hide-input="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal">jacobi(r)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkkYWJzRyUqcHJvdGVjdGVkRzYjKiZJInVHNiIiIiIsJi1JJGNvc0c2JEYkSShfc3lzbGliR0YoNiNGJ0YpLUkkc2luR0YtRi8hIiJGKQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L11" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="> " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
</Worksheet>