(a) Find an affine change of coordinates that takes the unit square with vertices in the uv-plane to the rectangle with vertices in the xy-plane. x = x(u, v) = y = y(u, v) = d(x, y) d(u, v) P* = (0,0), Q* = (1,0), R* = (0, 1), S* = (1, 1) (b) Find the absolute value of the determinant of the Jacobian for this change of coordinates. = [det P = (-3,4), Q = (-1,4), R = (-3,7), S = (-1,7)

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