| Let v = (x²z, 2 — 4xyz, xz²) be the velocity field of a fluid. Compute the flux of v across the surface 4x²+9z² = (y – 6)² where 0 < y < 6 and the surface is oriented away from the origin. Hint: Use the Divergence Theorem.

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Chapter1: Functions And Models
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| Let v = (x²z, 2 — 4xyz, xz²) be the velocity field of a fluid. Compute the flux of v across the surface
4x²+9z²
=
(y – 6)² where 0 < y < 6 and the surface is oriented away from the origin.
Hint: Use the Divergence Theorem.
Transcribed Image Text:| Let v = (x²z, 2 — 4xyz, xz²) be the velocity field of a fluid. Compute the flux of v across the surface 4x²+9z² = (y – 6)² where 0 < y < 6 and the surface is oriented away from the origin. Hint: Use the Divergence Theorem.
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