If the curve y = f(x), a ≤ x ≤ b, is rotated about the horizontal line y = C, where f(x) ≤ c, then one can prove that a formula for the area of the resulting surface is S b = [ 2π[c − f(x)] √/1 + [ƒ′ (x)]² dx. Find the area of the surface generated by rotating the circle x² + y² = µ² about the line y = = r.
If the curve y = f(x), a ≤ x ≤ b, is rotated about the horizontal line y = C, where f(x) ≤ c, then one can prove that a formula for the area of the resulting surface is S b = [ 2π[c − f(x)] √/1 + [ƒ′ (x)]² dx. Find the area of the surface generated by rotating the circle x² + y² = µ² about the line y = = r.
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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