Difference between revisions of "009B Sample Final 2, Problem 5"

Latest revision as of 17:28, 2 December 2017

(a) Find the area of the surface obtained by rotating the arc of the curve

y^{3}=x

between $(0,0)$ and $(1,1)$ about the $y$ -axis.

(b) Find the length of the arc

y=1+9x^{\frac {3}{2}}

between the points $(1,10)$ and $(4,73).$

Solution

Detailed Solution

Return to Sample Exam

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-::<span class="exam">a) Find the area of the surface obtained by rotating the arc of the curve
+<span class="exam">(a) Find the area of the surface obtained by rotating the arc of the curve
-::::<math>y^3=x</math>
+::<math>y^3=x</math>
-::<span class="exam">between <math>(0,0)</math> and <math>(1,1)</math> about the <math>y</math>-axis.
+<span class="exam">between &nbsp;<math style="vertical-align: -5px">(0,0)</math>&nbsp; and &nbsp;<math style="vertical-align: -5px">(1,1)</math>&nbsp; about the &nbsp;<math style="vertical-align: -4px">y</math>-axis.
-::<span class="exam">b) Find the length of the arc
+<span class="exam">(b) Find the length of the arc
-::::<math>y=1+9x^{\frac{3}{2}}</math>
+::<math>y=1+9x^{\frac{3}{2}}</math>
-::<span class="exam">between the points <math>(1,10)</math> and <math>(4,73).</math>
+<span class="exam">between the points &nbsp;<math style="vertical-align: -5px">(1,10)</math>&nbsp; and &nbsp;<math style="vertical-align: -5px">(4,73).</math>
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<hr>
-!Foundations: &nbsp;
+[[009B Sample Final 2, Problem 5 Solution|'''<u>Solution</u>''']]
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-'''Solution:'''
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+[[009B Sample Final 2, Problem 5 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]

Difference between revisions of "009B Sample Final 2, Problem 5"

Latest revision as of 17:28, 2 December 2017

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