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Multivariable CalculusMediumChange of Variables & the Jacobian

Change of Variables & the Jacobian · Medium problem

Under the change of variables x=−3u+2vx = - 3 u + 2 v, y=u+5vy = u + 5 v, a region of area 55 in the uvuv-plane maps to a region in the xyxy-plane. What is the area of that region?