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Multivariable CalculusMediumChange of Variables & the Jacobian

Change of Variables & the Jacobian · Medium problem

For polar coordinates x=rcos⁡θx = r\cos\theta, y=rsin⁡θy = r\sin\theta, find the Jacobian determinant ∂(x,y)∂(r,θ)\dfrac{\partial(x, y)}{\partial(r, \theta)} at r=1r = 1.