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08-04-2024
Mathematics

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Let v = (x³cosz, 2-3x²ycosz-3yz²sinx, z³sinx) be the velocity field of a fluid. Compute the flux of v across the surface x² + y + z² = 9 where y > 0 and the surface is oriented away from the origin. Hint: Use the Divergence Theorem.

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