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1)Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

y = x3/2, y = 8, x = 0 V=

2)Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

y = x3, y = 8, x = 0; about x = 3 V=

3)Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

x = 5y2, y ≥ 0, x = 5; about y = 2

V=

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=799+7xV7-67 that’s the answer
User Judex
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