(a) Use Formula 10.2.6 to show that 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 polar axis is
(b) Use the formula in part (a) to find the surface area generated by rotating the lemniscate r2 = cos 2θ about the polar axis.
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Chapter 10 Solutions
Calculus: Early Transcendentals
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning