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Computing flux Use the Divergence Theorem to
Chapter 14, Problem 24E(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.
\(\mathbf{F}=\langle x, y, z\rangle\); S is the surface of the cone \(z^{2}=x^{2}+y^{2}\), for \(0 \leq z \leq 4\), plus its top surface in the plane z = 4.
Text Transcription:
F = langle x, y, z rangle
z^2 = x^2 + y^2
0 leq z leq 4
Questions & Answers
QUESTION:
Computing flux Use the Divergence Theorem to compute the net outward flux of the following fields across the given surfaces S.
\(\mathbf{F}=\langle x, y, z\rangle\); S is the surface of the cone \(z^{2}=x^{2}+y^{2}\), for \(0 \leq z \leq 4\), plus its top surface in the plane z = 4.
Text Transcription:
F = langle x, y, z rangle
z^2 = x^2 + y^2
0 leq z leq 4
ANSWER:
Problem 24EThe