Write your own linear transformations of the forms x = au + bv, y = cu + av, where neither a, b, c, nor dare equal to zero and at least two of the parameters are not equal to one. Use your transformation to evaluate S S(x 3y)dA, where R is the triangular region with vertices (0,0), (2, 1), and (1, 2). Sketch the image and the preimage below. You may have to adjust the scale for the u- and R V-axes.

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