Let C1 be the circle r = 3 cos 0 and C2 the cardioid r=1+ cos 0. (a) Find all point(s) of intersection of the two given polar curves. (b) Set up an integral for the perimeter of the shaded region. (c) Set up an integral for the area of the shaded region.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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Let C1 be the circle r = 3 cos theta and C2 the cardioid r = 1 + cos theta. Then answer the following sub-questions that follow. 

Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0.
(a) Find all point(s) of intersection of the two given polar curves.
(b) Set up an integral for the perimeter of the shaded region.
(c) Set up an integral for the area of the shaded region.
Transcribed Image Text:Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of intersection of the two given polar curves. (b) Set up an integral for the perimeter of the shaded region. (c) Set up an integral for the area of the shaded region.
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