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Please teach all problems Thank you:) Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 6x

Please teach all problems Thank you:)

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Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 6x - x and y = 0. (a) A typical shell has radius x, circumference 27x, and height f(x) = 6x2 - 23 (b) So, by the shell method, the volume is a V = (27a) (6x2 - 23) dx 0 and a = 6 (c) Evaluate the integral: V = 2167 X

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