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

Revision as of 19:21, 18 February 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:

(c)

Step 1:

Step 2:

@@ Line 1: / Line 1: @@
-::<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 <math>(0,0)</math> and <math>(1,1)</math> about the <math>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 <math>(1,10)</math> and <math>(4,73).</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 22: / Line 22: @@
 |
 |}
 '''Solution:'''
@@ Line 86: / Line 87: @@
 |
 |}
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"