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

Short Answer

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