Divergence Theorem for more general regions

Chapter 14, Problem 29E

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QUESTION:

Divergence Theorem for more general regions Use the Divergence Theorem to compute the net outward flux of the following vector fields across the boundary of the given regions D.

\(\mathbf{F}=\left\langle x^{2},-y^{2}, z^{2}\right\rangle\); D is the region in the first octant between the plance z = 4 - x - y and z = 2 - x - y.

Text Transcription:

F = langle x^2, -y^2, z^2 rangle

Questions & Answers

QUESTION:

Divergence Theorem for more general regions Use the Divergence Theorem to compute the net outward flux of the following vector fields across the boundary of the given regions D.

\(\mathbf{F}=\left\langle x^{2},-y^{2}, z^{2}\right\rangle\); D is the region in the first octant between the plance z = 4 - x - y and z = 2 - x - y.

Text Transcription:

F = langle x^2, -y^2, z^2 rangle

ANSWER:

Solution 29E

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