Computing flux Use the Divergence Theorem to

Chapter 14, Problem 22E

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QUESTION:

Computing flux Use the Divergence Theorem to compute the net outward flux of the following fields across the given surfaces S.

\(\mathbf{F}=\langle y+z, x+z, x+y\rangle\); S consists of the faces of the cube \(\{(x, y, z):|x| \leq 1,|y| \leq 1,|z| \leq 1\}\)

Text Transcription:

F = langle y + z, x + z, x + y rangle

{(x, y, z): |x| leq 1, |y| leq 1, |z| leq 1}

Questions & Answers

QUESTION:

Computing flux Use the Divergence Theorem to compute the net outward flux of the following fields across the given surfaces S.

\(\mathbf{F}=\langle y+z, x+z, x+y\rangle\); S consists of the faces of the cube \(\{(x, y, z):|x| \leq 1,|y| \leq 1,|z| \leq 1\}\)

Text Transcription:

F = langle y + z, x + z, x + y rangle

{(x, y, z): |x| leq 1, |y| leq 1, |z| leq 1}

ANSWER:

Solution 22E

        

Given F = <+

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