Consider the steady, two$-$dimensional velocity field given below:

vec$(V)=(ax+b)vec(i)+(-ay+cx)vec(j)$

$($i$)$ Does this flowfield satisfy conservation of mass?

$(5$ marks$)$

$($ii$)$ Find an expression for the pressure P as a function of x and y assuming the pressure at the

origin $(0,0)$ is $0$ Pa $.$

$($iii$)$ Calculate the pressure at point $(4,4).$