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Multivariable CalculusMediumChange of Variables & the Jacobian

Change of Variables & the Jacobian · Medium problem

Under the change of variables x=5u+2vx = 5 u + 2 v, y=−u−2vy = - u - 2 v, a region of area 66 in the uvuv-plane maps to a region in the xyxy-plane. What is the area of that region?