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Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

For the change of variables x=eucos⁡vx = e^{u}\cos v, y=eusin⁡vy = e^{u}\sin v, compute the Jacobian determinant ∂(x,y)∂(u,v)\dfrac{\partial(x,y)}{\partial(u,v)} at u=ln⁡3u = \ln 3, v=π4v = \dfrac{\pi}{4}.