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Multivariable CalculusMediumChange of Variables & the Jacobian

Change of Variables & the Jacobian · Medium problem

Under the change of variables x=−u+vx = - u + v, y=5u−2vy = 5 u - 2 v, a region of area 33 in the uvuv-plane maps to a region in the xyxy-plane. What is the area of that region?