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(a) Sketch the graph of the cardioid r=1+cos0 and the circle r= 3cos0. (b) Shade the region that is outside of the cardioid and

(a) Sketch the graph of the cardioid r=1+cos0 and the circle r= 3cos0. (b) Shade the region that is outside of the cardioid and inside of the circle. (c) Find the points of intersection of the polar curves. (d) Determine the area of the shaded region.

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