In Problems 1-3, find the image of the rectangle with the given corners and find the Jacobian of the transformation.
1. x = u + 2v, y = u - 2v; (0,0), (2,0),(2, 1), (0, 1)
2. x = 2u + 3v, y = u - v; (0,0), (3,0),(3, 1), (0, 1)
3. x = u2 + v2, y = v; (0, 0), (1, 0), (1, 1). (0, 1)