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Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

Hyperbolic polar coordinates are x=rcosh⁡tx = r\cosh t, y=rsinh⁡ty = r\sinh t. Compute the Jacobian determinant ∂(x,y)∂(r,t)\dfrac{\partial(x,y)}{\partial(r,t)} at r=4r = 4, t=ln⁡2t = \ln 2.