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