Difference between revisions of "009B Sample Final 1, Problem 7"

Revision as of 22:08, 1 February 2016

a) Find the length of the curve

y=\ln(\cos x),~~~0\leq x\leq {\frac {\pi }{3}}

.

b) The curve

y=1-x^{2},~~~0\leq x\leq 1

is rotated about the $y$ -axis. Find the area of the resulting surface.

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

Final Answer:
(a)
(b)

@@ Line 61: / Line 61: @@
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Step 3: &nbsp;
-|-
-|
-|-
-|
-|}
-'''(c)'''
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 1: &nbsp;
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
-|-
-|
 |-
 |
@@ Line 93: / Line 73: @@
 |-
 |'''(b)'''
-|-
-|'''(c)'''
 |}
 [[009B_Sample_Final_1|'''<u>Return to Sample Exam</u>''']]