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Unformatted text preview: MAT 1322 A Assignment 2 (Due Wed. Jan. 28th at 8:30) Student Number:
√
1. Find the volume of the solid obtained when the region bounded by the curves y = x and y = x is
rotated around the line y = −1 .
Answer: Volume =
Work: 2. Find the volume of the solid whose base is the region bounded by y = ex , y = 1, x = 2 and x = 3 ,
where crosssections perpendicular to the xaxis are semicircles.
Answer: Volume =
Work: 1
3. Find the length of the curve y = ex + e−x between x = 0 and x = 1 .
4
Answer: Arclength =
Work: 4. A tank in the form of a hemispherical bowl of radius 4 m is full of water. Find the work required to
pump all of the water to a point 2 m above the tank.
Answer: Work =
Work: ...
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This note was uploaded on 09/28/2011 for the course MATH 1322 taught by Professor Kousha during the Winter '10 term at University of Ottawa.
 Winter '10
 Kousha

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