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HW_6_3

# HW_6_3 - bounded by the given curves about the y-axis V =...

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Student Name: Sections 6.3 (Due: Monday, 12/03) Description : This homework will help you understand the method of using cylindrical shells to compute volumes of revolution, including the derivation of this method. Show all work to get full credit. 1) Let S be the solid obtained by rotating the region shown in the figure about the y -axis. a = 10 b = 1 Sketch a typical approximating shell. What are its circumference c and height h ? c ( x ) = h ( x ) = Use shells to find the volume V of S . V = 2) Use the method of cylindrical shells to find the volume V generated by rotating the region
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Unformatted text preview: bounded by the given curves about the y-axis. V = Sketch the region and a typical shell. 3) Consider the given curves to do the following. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3 . V = Sketch the region and a typical shell. 4) Consider the given curves to do the following. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -1 . V = Sketch the region and a typical shell....
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