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Solved: Computing flux Use the Divergence Theorem to
Chapter 14, Problem 17E(choose chapter or problem)
Computing flux Use the Divergence Theorem to compute the net outward flux of the following fields across the given surfaces S.
\(\mathbf{F}=\langle x,-2 y, 3 z\rangle\); S is the sphere \(\left\{(x, y, z): x^{2}+y^{2}+z^{2}=6\right\}\)
Text Transcription:
F = langle x, -2y, 3z rangle
{(x, y, z): x^2 + y^2 + z^2 = 6}
Questions & Answers
QUESTION:
Computing flux Use the Divergence Theorem to compute the net outward flux of the following fields across the given surfaces S.
\(\mathbf{F}=\langle x,-2 y, 3 z\rangle\); S is the sphere \(\left\{(x, y, z): x^{2}+y^{2}+z^{2}=6\right\}\)
Text Transcription:
F = langle x, -2y, 3z rangle
{(x, y, z): x^2 + y^2 + z^2 = 6}
ANSWER:Solution 17E
Step 1:
Given that
F = 〈x, -2y, 3z〉; S is the sphere {(x, y, z): x2 + y2 + z2 = 6}.