Suppose divvec$(F)=xy{z}^2$

$($a$)$ Find divvec$(F)$ at the point $(1,3,4).[$Note: You are given divvec$(F),$ not vec$(F).]$ div$(vec(F)){|}_{(1,3,4)}||=$

$($b$)$ Using your answer to part $($a$),$ but no other information about the vector field vec$(F),$ estimate the flux out of a small box of side $0\mathrm{.}2$ centered at the point $(1,3,4)$ and with edges parallel to the axes.

flux ~~ $$

$($c$)$ Without computing the vector field vec$(F),$ calculate the exact flux out of the box.

flux $=$