Chapter 15.9, Problem 5E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the Jacobian of the transformation.

**5.** *x = uv, y = vw, z = wu*

To determine

**To find:** Jacobian transformation of

Explanation

**Definition used:** Jacobian transformation

The Jacobian of the transformation *T* given by

**Calculation:**

Given that,

Take partial derivative of *x* with respect to *u* to obtain

Take partial derivative of *x* with respect to *v* to obtain

Take partial derivative of *x* with respect to *w* to obtain

Given that,

Take partial derivative of *y* with respect to *u* to obtain

Take partial derivative of *y* with respect to *v* to obtain

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