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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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