Let f(x) = 3x - x 2 and let R be the region bounded by the graph

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Let f(x) = √3x - x2 and let R be the region bounded by the graph of f and the x-axis on the interval [0, 3].

a. Find the area of the surface generated when the graph of f on [0, 3] is revolved about the x-axis.

b. Find the volume of the solid generated when R is revolved about the x-axis.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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