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Unformatted text preview: Find Z sin 2 θ cos 3 θ dθ . 6. (12 points) Set up an integral for the area of the region enclosed between the curve y = x 32 and its tangent line at x =1. JUST SET UP THE INTEGRAL. DO NOT COMPUTE A NUMERICAL VALUE. 7. (12 points) The region R is bounded by the curves y = ln x , y = 0 and x = e . The solid S is obtained by revolving R around the yaxis. (a) Set up an integral for the volume of S using the shell method. (b) Set up an integral for the volume of S using the disk or washer method. (c) Compute the volume of S . 8. (6 points) Sketch the curve given in polar coordinates by r = 1 + sin θ . 9. (10 points) Find the length of the curve y = e x + ex 2 as x runs from 0 to 1....
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 Fall '07
 Nelson
 Math, 00PM McDonnell A02

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