Consider the velocity field given by V~ $5$ Ax$2$i$^1$ Bxyj$^,$

where A $51$ ft$21$s$21,$ B $522$ ft$21$s$21,$ and the coordinates

are measured in feet.

$($a$)$ Determine the fluid rotation.

$($b$)$ Evaluate the circulation about the $$curve$$ bounded by

y $50,$ x $51,$ y $51,$ and x $50.$

$($c$)$ Obtain an expression for the stream function.