What is the main physical interpretation of the flux integral $\iint_S \mathbf{F}\cdot \mathbf{n}\,dS$?
Question 2
If a surface is parametrized by $\mathbf{r}(u,v)$ with orientation chosen by $\mathbf{r}_u \times \mathbf{r}_v$, which formula gives the flux of $\mathbf{F}$ across $S$?
Question 3
For the surface $z=g(x,y)$ with upward orientation, which normal vector field is commonly used in the flux formula?
Question 4
Suppose $\mathbf{F}$ is tangent to a surface $S$ at every point and $\mathbf{n}$ is a unit normal to $S$. What is $\mathbf{F}\cdot \mathbf{n}$ everywhere on the surface?
Question 5
For a closed surface $S$ enclosing a volume $E$, which statement is the divergence theorem for outward flux?
