The velocity in a two$-$dimensional field is given by the expression $\frac{?}{\text{b}\text{a}\text{r}}(v)=\frac{Ax+By}{b}ar(i)+\frac{-Ay}{b}ar(j),$ where $A=1s^{-1},$

$B=2s^{-1},$ and $x$ and $y$ are in feet.

Is the flow irrotational or rotational? Please explain your answer.

If the flow is irrotational, determine if the flow is incompressible. If the flow is rotational, find the circulation

in the domain shown.

If the flow is rotational, find the angular velocity.