Suppose R is the region bounded by y = f(x) and y = g(x) on the interval

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Suppose R is the region bounded by y = f(x) and y = g(x) on the interval [a, b], where f(x) ≥ g(x) ≥ 0.

a. Show that if R is revolved about the horizontal line y = y0 that lies below R, then by the washer method, the volume of the resulting solid is

V = [

b. How is this formula changed if the line y = y0 lies above R?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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