(a) If the curve y = f(x), a x b, is rotated about the horizontal...

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(a) If the curve y = f(x), a ≤ x ≤ b, is rotated about the horizontal line y = c, where f(x) ≤ c, find a formula for the area of the resulting surface.

(b) Set up an integral to find the area of the surface generated by rotating the curve y = √x, 0 ≤ x ≤ 4, about the line y = 4. Then evaluate the integral numerically, correct to four decimal places.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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