Chapter 16, Problem 36RE

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Compute the outward flux of **F**(*x*, *y*, *z*) =
*x*^{2} + 9*y*^{2} + 6*z*^{2} = 36.

To determine

**To compute :** The outward flux of

Explanation

**Given data:**

The vector field is

**Formula used:**

Write the expression Divergence Theorem.

Here,

Write the expression for surface area of the sphere.

Consider the value

Find

Simplify expression as follows.

Find

Simplify the equation as follows.

Consider
*E*

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