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25-05-2023
Mathematics

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x Problem 2. Let F be the vector field (2+ y² +2²)³/29 (x²+y²2 +2²)3/29 (2²+²+2²)3/2), and S be the boundary of the cylinder {(x, y, z): x² + y² ≤4,-3 ≤ z <3} (a) Calculate the divergence of F, V F at a point (xo, Yo, zo) (0, 0, 0). . (b) Calculate the flux of F though S, F. F.dS.

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