Rotation of the region in Figure 12 about the y-axis produces a solid with two types of

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Rotation of the region in Figure 12 about the y-axis produces a solid with two types of different cross sections. Compute the volume as a sum of two integrals, one for −12 ≤ y ≤ 4 and one for 4 ≤ y ≤ 12.

y 12 4 -12, y = 12 - 4x y = 8x - 12 + 2 -X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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