Let (u, v) = (3u + v, u 2v). Use the Jacobian to determine the area
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Let Φ(u, v) = (3u + v, u − 2v). Use the Jacobian to determine the area of Φ(R) for:
(a) R = [0, 3] × [0, 5]
(b) R = [2, 5] × [1, 7]
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