Please answer the following (I will rate by the end of the day!) A flat plate wi

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Please answer the following (I will rate by the end of the day!)

A flat plate with constant density p (mass per unit surface area) occupies a region in the xy-plane bounded by a simple closed path C. Use Green's Theorem to show that its moments of inertia about the axes are Ix = -p/3 ContourIntegral C y3dx and Iy = p/3 ContourIntegral Cx3dy. Suppose coin A with radiius R rolls around the outside of stationary coin B with radius R, such that the edges of the coins do not slip. As this happens, a point P on the edge of coin A traces out a curve called an epicycloid. Determine the parametrization of the path of point P. Use Green's Theorem to calculate the area enclosed by the path of point P.

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Please answer the following (I will rate by the end of the day!) A flat plate wi

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