Chapter 15, Problem 10RCC

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

(a) If a transformation *T* is given by *x* = *g(u*, *v*), *y* = *h*(*u*, *v*), what is the Jacobian of *T*?

(b) How do you change variables in a double integral?

(c) How do you change variables in a triple integral?

(a)

To determine

**To explain:** The Jacobian of *T.*

Explanation

**Given:**

The transformation given by

The Jacobian of the transformation *T* is given by,

(b)

To determine

**To explain:** How to change variables in double integral.

(c)

To determine

**To explain:** How to change variables in triple integral.

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