Use the portion of the curve r=3-3sin(theta) that’s in the first quadrant to answer parts a and b. a. Set up the integral for the arc length of this curve. b. Set up the integral for the surface area that results when this curve is revolved about the line theta = pi/2

Use the portion of the curve r=3-3sin(theta) that’s in the first quadrant to answer parts a and b. a. Set up the integral for the arc length of this curve. b. Set up the integral for the surface area that results when this curve is revolved about the line theta = pi/2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter11: Introduction To Trigonometry

Section11.2: The Cosine Ratio And Applications

Problem 38E

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Question

Use the portion of the curve r=3-3sin(theta) that’s in the first quadrant to answer parts a and b.
a. Set up the integral for the arc length of this curve.
b. Set up the integral for the surface area that results when this curve is revolved about the line theta = pi/2

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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