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Let D be the overlap part of the three planar regions each bounded by closed polar curves r = 1, r = 2cos and r

Let D be the overlap part of the three planar regions each bounded by closed polar curves r = 1, r = 2cos and

r = 2sin, respectively.

(a). Sketch the planar region D.

(b). Describe D in polar coordinates (using the set builder notation).

(c). Find the area of D.

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