Question

a) Sketch the graph of r = 1 + sin2θ in polar coordinates with proper explanation....

a) Sketch the graph of r = 1 + sin2θ in polar coordinates with proper explanation.

b) Find the area of the region that is inside of the cardioid r = 2+2sinθ and outside of the circle r = 3. Also find the area that is outside of the cardioid and inside of the circle. Hence, find the total area enclosed by these two curves.

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