Computing flux Use the Divergence Theorem to

Chapter 14, Problem 23E

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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.

\(\mathbf{F}=\langle x, y, z\rangle\); S is the surface of the paraboloid \(z=4-x^{2}-y^{2}\), for \(z \geq 0\), plus its base in the xy-plane.

Text Transcription:

F = langle x, y, z rangle

z = 4 - x^2 - y^2

Z leq 0

Questions & Answers

QUESTION:

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

\(\mathbf{F}=\langle x, y, z\rangle\); S is the surface of the paraboloid \(z=4-x^{2}-y^{2}\), for \(z \geq 0\), plus its base in the xy-plane.

Text Transcription:

F = langle x, y, z rangle

z = 4 - x^2 - y^2

Z leq 0

ANSWER:

Solution 23E

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