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Consider the following integral (27 + y') dady, where the domain of integration D is the region in the first quadrant of the xy-plane bounded by y = 0, y = x, xy =1, x-y'=1. It is known that the transformation u=x- y, v= ry, turns the region D into the square S with vertices (0, 0), (1, 0), (0, 1), and (1, 1) in the uv-plane. (A) Find the Jacobian determinant a(u, v) a(x, y) (B) Recall the change of variables formula , f(z,y)dady = / f(z(u, v), y(u,U) o(x, y) dudv. a(u, v) Use it to compute the value of the integral