MathCastle
Multivariable CalculusMediumChange of Variables & the Jacobian

Change of Variables & the Jacobian · Medium problem

The change of variables x=−3vx = - 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.