3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. %3D (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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 64E
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3. Let Ci 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:3. Let Ci 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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