Flux integrals Compute the outward flux of the following

Chapter 14, Problem 33E

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QUESTION:

Flux integrals Compute the oufwardflux of the following vector fields across the given surfaces S. You should decide which integral Qf the Divergence Theorem Io use.

\(\mathbf{F}=\left\langle x^{2} e^{y} \cos z,-4 x e^{y} \cos z, 2 x e^{y} \sin z\right\rangle\); S is the boundary of the ellipsoid \(x^{2} / 4+y^{2}+z^{2}=1\)

Text Transcription:

F = langle x^2e^y cos z, -4xe^y cos z, 2xe^y sin z rangle\

x^2/4 + y^2 + z^2 = 1

Questions & Answers

QUESTION:

Flux integrals Compute the oufwardflux of the following vector fields across the given surfaces S. You should decide which integral Qf the Divergence Theorem Io use.

\(\mathbf{F}=\left\langle x^{2} e^{y} \cos z,-4 x e^{y} \cos z, 2 x e^{y} \sin z\right\rangle\); S is the boundary of the ellipsoid \(x^{2} / 4+y^{2}+z^{2}=1\)

Text Transcription:

F = langle x^2e^y cos z, -4xe^y cos z, 2xe^y sin z rangle\

x^2/4 + y^2 + z^2 = 1

ANSWER:

Solution 33E

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