Verifying the Divergence Theorem Evaluate both integrals

Chapter 14, Problem 9E

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QUESTION:

\(\mathbf{F}=\langle 2 x, 3 y, 4 z\rangle\); \(D=\left\{(x, y, z): x^{2}+y^{2}+z^{2} \leq 4\right\}\)

Text Transcription:

F = langle 2x, 3y, 4z rangle

D = {(x, y, z): x^2 + y^2 + z^2 leq 4}

Questions & Answers

QUESTION:

\(\mathbf{F}=\langle 2 x, 3 y, 4 z\rangle\); \(D=\left\{(x, y, z): x^{2}+y^{2}+z^{2} \leq 4\right\}\)

Text Transcription:

F = langle 2x, 3y, 4z rangle

D = {(x, y, z): x^2 + y^2 + z^2 leq 4}

ANSWER:

Solution 9E

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