Consider the two$-$dimensional velocity field given by:

V$($x$,$y$)=($y$2)$ x$2$

$($a$)$ Find the divergence of this velocity field. What does this tell us physically about the flow?

$($b$)$ Find the curl of this velocity field. What does this tell us physically about the flow? $($c$)$ Does a velocity potential function, $,$ exist for this flow?