A velocity field vec$(V)=-$Axvec$()+$Byvec$(),$ where A and $B$ are constants.

$($a$)$ Is the flow $1-$D$,2-$D or $3-$D$?$ Why? $(4$ pts$)$

$($b$)$ Is the velocity field "steady uniform", "unsteady uniform", "steady non$-$uniform", or "unsteady non$-$uniform"? Why? $(4$ pts$)$

$($c$)$ Obtain the streamline that passes the point of $(x,y)=(2,2)(6pts)$

$($d$)$ If a pathline passing $(x,y)=(1,1)$@$t=0$ is

$x=e^{3t}$

$y=e^{\frac{t}{5}}$

Determine the values of A and B$.(6$ps$)$

$($e$)$ Determine the relationship between A and $B$ to satisfy the continuity equation assuming the flow is incompressible. $(6$ pts $)$

$($f$)$ Calculate the acceleration at $(x,y)=(2,2).(4$ pts$)$