# Homework Help: Estimating divF

1. Apr 22, 2009

### -EquinoX-

1. The problem statement, all variables and given/known data

A vector field $$\vec{F}$$ has the property that the flux of $$\vec{F}$$ out of a small cube of side 0.01 centered around the point (2, 9, 11) is 0.003. Estimate div$$\vec{F}$$ at the point (2, 9, 11).

2. Relevant equations

3. The attempt at a solution

2. Apr 23, 2009

### dx

For a small volume ∆V, the flux of F out of the region is approximately equal to (∇⋅F)∆V. Use Gauss' divergence theorem to see this.