Chapter 15, Problem 9RCC

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

(a) How do you change from rectangular coordinates to cylindrical coordinates in a triple integral?

(b) How do you change from rectangular coordinates to spherical coordinates in a triple integral?

(c) In what situations would you change to cylindrical or spherical coordinates?

(a)

To determine

**To explain:** How to change rectangular coordinates to cylindrical coordinates in a triple integral.

Explanation

The rectangular coordinates

Substitute

If
*E* given by

(b)

To determine

**To explain:** How to change rectangular coordinates to spherical coordinates in a triple integral.

(c)

To determine

**To explain:** The reason to change from cylindrical coordinate system to spherical coordinate system or vice versa.

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