Q2. Consider the region D in the first quadrant of R bounded by the curves y = r*, 9y = r*, r = y' and 16x = yo, as pictured below. 4 y= 3 161 = 13 94 = 13 D 2 2 (a) Find a transformation (u, v) = T(x, y) such that the image T( D) of D under T is a rectangle in the wv-plane. Justify your answer. (b) Find the Jacobian O(x, y) Express your answer in terms of u and v. O(u, v)(c) Use the change of variables theorem to compute ( 1dA. (d) What geometric quantity does the integral in (c) represent