Chapter 16.7, Problem 21E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the surface integral ∫∫_{s} **F** · *d***S** for the given vector field **F** and the oriented surface *S.* In other words, find the flux of **F** across *S.* For closed surfaces, use the positive (outward) orientation.

**21. F**(*x*, *y, z*) = *ze ^{xy}*

To determine

**To find:** The value of

Explanation

**Given data:**

**Formula used:**

Find

Substitute

Find

Substitute

Find

Find

Substitute

As the *z*-component of

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P-6RECh-16 P-7RECh-16 P-8RECh-16 P-9RECh-16 P-10RECh-16 P-11RECh-16 P-12RECh-16 P-13RECh-16 P-14RECh-16 P-15RECh-16 P-16RECh-16 P-17RECh-16 P-18RECh-16 P-19RECh-16 P-20RECh-16 P-21RECh-16 P-22RECh-16 P-23RECh-16 P-24RECh-16 P-25RECh-16 P-27RECh-16 P-28RECh-16 P-29RECh-16 P-30RECh-16 P-31RECh-16 P-32RECh-16 P-33RECh-16 P-34RECh-16 P-35RECh-16 P-36RECh-16 P-37RECh-16 P-38RECh-16 P-39RECh-16 P-40RECh-16 P-41RECh-16 P-1PCh-16 P-2PCh-16 P-3PCh-16 P-5PCh-16 P-6P

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