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Let F\vec { F } Be a Smooth Velocity Vector Field Describing the Flow of Field

Question 20

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Let F\vec { F } be a smooth velocity vector field describing the flow of a fluid.Suppose that divF(1,2,1)=4\operatorname { div } \vec { F } ( 1,2 , - 1 ) = - 4 Estimate the value of SFdA\int _ { S }{ \vec { F } } \cdot \vec{ d A } where S is a sphere of radius 0.25 centered at (1, 2,-1)oriented outward.Give your answer to 4 decimal places.

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