For all parts of this problem, show all of your steps and cite any major theorems that you use. For each part, the answer should be an exact value. Let r(t) and y(t) be functions such that (r(t), y(t)), with 0 t 1, parametrizes a simple closed curve C oriented counterclockwise in R. Also assume that (3r, -y)-nds=4. Part A) Use the flux form of Green's Theorem to compute the area of the region D bounded by C in R. Part B) Now think of C as lying in the ry-plane in R, i.e. it is the curve parametrized by (r(t), y(t).0), with 0 t 1. Let F(x, y, z) = (y, 6x. 24), and compute the vector line integral $ F. dr Part C) Let x(t), y(t), and F be the same as in the previous parts. Now in addition let C be the simple closed curve in R parametrized by (r(t), y(t), cos(8t) + 10), with 0 t 1. Compute fo F. dr