Cylindrical coordinates Evaluate the Jacobian for the

Chapter 14, Problem 46E

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QUESTION:

Cylindrical coordinates Evaluate the Jacobian for the transformation from cylindrical coordinates \((r, \theta, Z)\) to rectangular coordinates \((x, y, z): x=r \cos \theta, y=r \sin \theta, z=Z\). Show that \(J(r, \theta, Z)=r\).

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QUESTION:

Cylindrical coordinates Evaluate the Jacobian for the transformation from cylindrical coordinates \((r, \theta, Z)\) to rectangular coordinates \((x, y, z): x=r \cos \theta, y=r \sin \theta, z=Z\). Show that \(J(r, \theta, Z)=r\).

ANSWER:

Solution 46EStep 1

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