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Divergence Theorem for more general regions
Chapter 14, Problem 30E(choose chapter or problem)
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.
\(\mathbf{F}=\langle x, 2 y, 3 z\rangle\); D is the region between the cylinders \(x^{2}+y^{2}=1\) and \(x^{2}+y^{2}=4\), for \(0 \leq z \leq 8\).
Text Transcription:
F = langle x, 2y, 3z rangle
x^2 + y^2 = 1
x^2 + y^2 = 4
0 leq z leq 8
Questions & Answers
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.
\(\mathbf{F}=\langle x, 2 y, 3 z\rangle\); D is the region between the cylinders \(x^{2}+y^{2}=1\) and \(x^{2}+y^{2}=4\), for \(0 \leq z \leq 8\).
Text Transcription:
F = langle x, 2y, 3z rangle
x^2 + y^2 = 1
x^2 + y^2 = 4
0 leq z leq 8
ANSWER:Solution 30E