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Solution: Computing flux Use the Divergence Theorem to
Chapter 14, Problem 18E(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.
\(\mathbf{F}=\left\langle x^{2}, 2 x z, y^{2}\right\rangle\); S is the surface of the cube cut from the first octant by the planes x = 1, y = 1, and z = 1.
Text Transcription: rangle
F = langle x^2, 2xz, y^2
Questions & Answers
QUESTION:
Computing flux Use the Divergence Theorem to compute the net outward flux of the following fields across the given surfaces S.
\(\mathbf{F}=\left\langle x^{2}, 2 x z, y^{2}\right\rangle\); S is the surface of the cube cut from the first octant by the planes x = 1, y = 1, and z = 1.
Text Transcription: rangle
F = langle x^2, 2xz, y^2
ANSWER:Solution 18EStep 1:Given thatF = x2, 2xz, y2; S is the surface of the cube cut from the first octant by the planes x = 1, y = 1, and z = 1.