Difference between revisions of "009B Sample Final 1, Problem 7"
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| − | + | <span class="exam">(a) Find the length of the curve | |
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| − | + | ::<math>y=\ln (\cos x),~~~0\leq x \leq \frac{\pi}{3}</math>. | |
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| − | + | <span class="exam">(b) The curve | |
| − | + | ::<math>y=1-x^2,~~~0\leq x \leq 1</math> | |
| − | + | <span class="exam">is rotated about the <math style="vertical-align: -3px">y</math>-axis. Find the area of the resulting surface. | |
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| − | + | <hr> | |
| − | + | [[009B Sample Final 1, Problem 7 Solution|'''<u>Solution</u>''']] | |
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| − | + | [[009B Sample Final 1, Problem 7 Detailed Solution|'''<u>Detailed Solution</u>''']] | |
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[[009B_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | [[009B_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 17:21, 2 December 2017
(a) Find the length of the curve
- .
(b) The curve
is rotated about the -axis. Find the area of the resulting surface.
