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<Text-field style="Heading 1" layout="Heading 1">Line Integral, Parametric curve</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">The principle behind a line integration with a parametric path is to convert the integral into a simple integral of that parameter. Technically, the method to do that is substituting the original variables with functions of the parameter (never neglecting to convert the ratios of the infinitesimal) and thus yielding a simple one variable definite integral.</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
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</Group></Presentation-Block>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Exercise</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L249" drawlabel="true">
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="true"><Table-Column weight="686" separator="true"></Table-Column><Table-Column weight="39" separator="true"></Table-Column><Table-Column weight="482" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L187" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Given the vector field <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>,</Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L185" drawlabel="true" redirect-target="L183">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="F := VectorField(`&lt;,&gt;`(y^2, x^2))" display="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">PkkiRkc2Ii1JLFZlY3RvckZpZWxkR0YkNiMtSSQ8LD5HRiQ2JCokSSJ5R0YkIiIjKiRJInhHRiRGLQ==</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L186" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
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<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L183" drawlabel="true" redirect-source="L185">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L185" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqZyMqNF8i</Equation></Text-field>
</Output>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L180" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">we are required to calculate the line integral for the curve:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L193" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L190" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">(representing an ellipse over the second quarter of the x-y domain).</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L191" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L181" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">First, we perform the substituting the variables <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3Rj5GPi8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GMTYjUSFGJ0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYmLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3Rj5GPi8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GMTYjUSFGJ0Y+</Equation> to a form that expresses the path in the simplest way:</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L179" drawlabel="true" redirect-target="L182">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`#msub(mi(&quot;F&quot;),mn(&quot;1&quot;))` := subs([x = VectorCalculus:-`*`(3, cos(t)), y = VectorCalculus:-`*`(2, sin(t))], F)" display="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">Pkk3I21zdWIobWkoIkYiKSxtbigiMSIpKUc2Ii1JJXN1YnNHJSpwcm90ZWN0ZWRHNiQ3JC9JInhHRiQtSSIqRzYkRicvSSttb2R1bGVuYW1lR0YkSS9WZWN0b3JDYWxjdWx1c0c2JEYnSShfc3lzbGliR0YkNiQiIiQtSSRjb3NHRiQ2I0kidEdGJC9JInlHRiQtRi02JCIiIy1JJHNpbkdGJEY4SSJGR0Yk</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L184" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L182" drawlabel="true" redirect-source="L179">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L179" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqcygqNF8i</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L258" drawlabel="true">
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L257" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L256" drawlabel="true">
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L255" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L254" drawlabel="true">
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L253" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L47" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L48" drawlabel="true" redirect-target="L56">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="P1 := fieldplot(F, x = VectorCalculus:-`-`(3) .. 0, y = 0 .. 2); -1; P2 := plot([VectorCalculus:-`*`(3, cos(t)), VectorCalculus:-`*`(2, sin(t)), t = VectorCalculus:-`*`(Pi, 1/2) .. Pi], color = red, thickness = 2); -1; display(P1, P2)" display="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">Qyc+SSNQMUc2Ii1JKmZpZWxkcGxvdEdGJTYlSSJGR0YlL0kieEdGJTstSSItRzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUdGJUkvVmVjdG9yQ2FsY3VsdXNHNiRGMEkoX3N5c2xpYkdGJTYjIiIkIiIhL0kieUdGJTtGOCIiIyEiIj5JI1AyR0YlLUklcGxvdEdGJTYlNyUtSSIqR0YvNiRGNy1JJGNvc0dGNDYjSSJ0R0YlLUZFNiRGPC1JJHNpbkdGNEZJL0ZKOy1GRTYkSSNQaUdGMCMiIiJGPEZTL0kmY29sb3JHRiVJJHJlZEdGJS9JKnRoaWNrbmVzc0dGJUY8Rj0tSShkaXNwbGF5R0YlNiRGJEY/</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L56" drawlabel="true" redirect-source="L48">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">%;</Text-field>
</Input>
<Output>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L227" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L232" drawlabel="true" redirect-source="L224">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L224" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkobWFjdGlvbkc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXJvd0dGJDYqLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkYtRiw2Jy1GLDYmLUkjbW5HRiQ2JFEiM0YnRjItRi82LlExJkludmlzaWJsZVRpbWVzO0YnLyUrZm9yZWdyb3VuZEdRLlsxNDQsMTQ0LDE0NF1GJ0YyRjVGOEY6RjxGPkZARkIvRkVRJjAuMGVtRicvRkhGWC1GLDYoLUkjbWlHRiQ2JVEkc2luRicvJSdpdGFsaWNHRjdGMi1GLzYtUTAmQXBwbHlGdW5jdGlvbjtGJ0YyRjVGOEY6RjxGPkZARkJGV0ZZLUkobWZlbmNlZEdGJDYkLUYsNiYtRmduNiVRInRGJy9GW29RJXRydWVGJy9GM1EnaXRhbGljRicvRlVRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y3RjJGMkZbcEZdcEYyRjItSSVtc3ViR0YkNiUtSSZtb3ZlckdGJDYlLUZnbjYlUSJlRidGZ29GaW8tRi82LVEiX0YnRjJGNUY4RjpGPEY+RkBGQi9GRVEsMC4xMTExMTExZW1GJy9GSEZccUZCLUZnbjYlUSJ4RidGZ29GaW8vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0ZbcEZdcEYyLUYvNi1RIitGJ0YyRjVGOEY6RjxGPkZARkJGREZHLUYsNictRiw2Ji1GTjYkUSIyRidGMkZRLUYsNigtRmduNiVRJGNvc0YnRmpuRjJGXG9GX29GW3BGXXBGMkYyLUZgcDYlRmJwLUZnbjYlUSJ5RidGZ29GaW9GYXFGW3BGXXBGMkZbcEZdcEYyL0krbXNlbWFudGljc0dGJFEqQ29sVmVjdG9yRicvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLyUpcnRhYmxlaWRHUSoxNTIxMDMyMjhGJw==">LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIqR0s1XyI=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L222" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L225" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L233" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Hence the integrant is:     </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L226" drawlabel="true" redirect-target="L221">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUkwZGVsYXlEb3RQcm9kdWN0RzYkJSpwcm90ZWN0ZWRHL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHNiRGJUkoX3N5c2xpYkdGKDYkSTcjbXN1YihtaSgiRiIpLG1uKCIxIikpR0YoSTcjbXN1YihtaSgiRiIpLG1uKCIyIikpR0Yo</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L231" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L221" drawlabel="true" redirect-source="L226">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L226" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYqJC1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJ0R0YpIiIkISM3KiQtSSRjb3NHRiZGKkYsIiM9</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L244" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">  ,   which evaluates into      </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L220" drawlabel="true" redirect-target="L246">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSTBkZWxheURvdFByb2R1Y3RHNiRGJS9JK21vZHVsZW5hbWVHRidJLFR5cGVzZXR0aW5nR0YkNiRJNyNtc3ViKG1pKCJGIiksbW4oIjEiKSlHRidJNyNtc3ViKG1pKCJGIiksbW4oIjIiKSlHRicvSSJ0R0YnOy1JIipHNiRGJS9GLUkvVmVjdG9yQ2FsY3VsdXNHRiQ2JEkjUGlHRiUjIiIiIiIjRjs=</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L245" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L246" drawlabel="true" redirect-source="L220">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L220" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">ISM/</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L247" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">    . </Text-field>
</Input>
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L124" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Examine the result</Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L25" drawlabel="true" redirect-target="L26">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">To instantly examine solution validity, we use Maple's built-in line integral calculation:</Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L17" drawlabel="true" redirect-target="L19">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="LineInt(F, Path(`&lt;,&gt;`(VectorCalculus:-`*`(3, cos(t)), VectorCalculus:-`*`(2, sin(t))), t = VectorCalculus:-`*`(Pi, 1/2) .. Pi))" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUShMaW5lSW50RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2Jy1GLDYlUSJGRidGNEY3LUY7Ni1RIixGJ0Y+RkAvRkRGNkZFRkdGSUZLRk1GTy9GU1EsMC4zMzMzMzMzZW1GJy1GLDYlUSVQYXRoRidGNEY3LUZVNiQtRiM2Ki1GVTYmLUYjNiwtSSNtbkdGJDYkUSIzRidGPi1GOzYtUSJ+RidGPkZARkNGRUZHRklGS0ZNRk9GUi1GLDYlUSRjb3NGJy9GNUZCRj4tRlU2JC1GIzYkLUYsNiVRInRGJ0Y0RjdGPkY+RmZuLUZobzYkUSIyRidGPkZbcC1GLDYlUSRzaW5GJ0ZhcEY+RmJwRj5GPi8lJW9wZW5HUTMmTGVmdEFuZ2xlQnJhY2tldDtGJy8lJmNsb3NlR1E0JlJpZ2h0QW5nbGVCcmFja2V0O0YnRmZuRmZwLUY7Ni1RIj1GJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjc3Nzc3OGVtRicvRlNGaXEtSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEnJiM5NjA7RidGYXBGPkY+LUYjNiVGaXBGNEY3LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zqci8lKWJldmVsbGVkR0ZCLUY7Ni1RIy4uRidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjIyMjIyMjJlbUYnRlJGYHJGPkY+Rj5GPkY+RisvJStleGVjdXRhYmxlR0ZCRj4=">LUkoTGluZUludEc2IjYkSSJGR0YkLUklUGF0aEdGJDYkLUkkPCw+R0koX3N5c2xpYkdGJDYkLUkiKkc2JCUqcHJvdGVjdGVkRy9JK21vZHVsZW5hbWVHRiRJL1ZlY3RvckNhbGN1bHVzRzYkRjFGLDYkIiIkLUkkY29zR0Y1NiNJInRHRiQtRi82JCIiIy1JJHNpbkdGNUY6L0Y7Oy1GLzYkSSNQaUdGMSMiIiJGPkZF</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L20" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"> = </Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="true" labelreference="L19" drawlabel="true" redirect-source="L17">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L17" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">ISM/</Equation></Text-field>
</Output>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L11" drawlabel="true" redirect-target="L12">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
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</Worksheet>