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

Revision as of 13:49, 3 March 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:

(a)

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

@@ Line 3: / Line 3: @@
 ::<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 <math style="vertical-align: -5px">(0,0)</math> and <math style="vertical-align: -5px">(1,1)</math> about the <math style="vertical-align: -4px">y</math>-axis.
 <span class="exam">(b) Find the length of the arc
@@ Line 9: / Line 9: @@
 ::<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 <math style="vertical-align: -5px">(1,10)</math> and <math style="vertical-align: -5px">(4,73).</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 53: / Line 53: @@
 '''(b)'''
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 1: &nbsp;
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
-|-
-|
-|-
-|
-|}
-'''(c)'''
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 94: / Line 76: @@
 |'''(a)'''
 |-
 |'''(b)'''
-|-
-|'''(c)'''
 |}
 [[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']]