Variable density The density of a thin circular plate of radius 2 is given by p(x, y) = 4 + xy. The edge of the plate is described by the parametric equations x = 2 cos t, y = 2 sin t, for 0 ≤ t ≤ 2π.a. Find the rate of change of the density with respect to t on the edge of the plate.b. At what point(s) on the edge of the plate is the density a maximum?

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