(a) Find a formula for the area of the surface generated by rotating the polar curve r...

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(a) Find a formula for the area of the surface generated by rotating the polar curve r = f(θ), a ≤ θ ≤ b (where f' is continuous and 0 ≤ a < b ≤ π), about the line θ = π/2.

(b) Find the surface area generated by rotating the lemniscate r2 = cos 2θ about the line θ = π/2.

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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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