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Multivariable CalculusMediumChange of Variables & the Jacobian

Change of Variables & the Jacobian · Medium problem

The change of variables x=2u+3vx = 2 u + 3 v, y=−2u+3vy = - 2 u + 3 v is applied to a double integral. Find ∣∂(x,y)∂(u,v)∣\left|\dfrac{\partial(x, y)}{\partial(u, v)}\right|, the factor by which area is scaled.