Solved: Divergence Theorem for more general regions Use

Chapter 14, Problem 26E

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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.

\(\mathbf{F}=\mathbf{r}|\mathbf{r}|=\langle x, y, z\rangle \sqrt{x^{2}+y^{2}+z^{2}}\); D is the region between the spheres of radius 1 and 2 centered at the origin.

Text Transcription:

F = r|r| = langle x, y, z rangle sqrt x^2 + y^2 + z^2

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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.

\(\mathbf{F}=\mathbf{r}|\mathbf{r}|=\langle x, y, z\rangle \sqrt{x^{2}+y^{2}+z^{2}}\); D is the region between the spheres of radius 1 and 2 centered at the origin.

Text Transcription:

F = r|r| = langle x, y, z rangle sqrt x^2 + y^2 + z^2

ANSWER:

Solution 26EThe net outwar

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