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Q. 51

Question

The formulas for converting from cylindrical coordinates to rectangular coordinates are x = r cos θ, y = r sin θ, and z = z. Prove that the Jacobian ∂(x, y, z)∂(r, θ, z)=r.

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Answer

It is proven that ∂(x, y, z)∂(r, θ, z)=r

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