A smooth vector field F has divF(1,2,3) = 5. Estimate the flux of F out of a small sphere of radius 0.01 centered at the point (1,2,3).
Cartesian Coordinate Definition of Divergence: If F= F1i + F2j +F3k, then divF=dF1/dx + dF2/dy + dF3/dz
The Attempt at a Solution
I graphed the problem in hopes that a method to solve this would come to me, but it didn't. Any hints to get me started on this problem? Thank you for any time and effort.