$($a$)$ Write the state$-$space equations for the plant, with input $u(t)$ and output $y(t).$ The state$-$space equations should be in terms of the $($still undetermined$)$ parameters as denoted in the above block diagram. $($b$)$ Then compute the transfer function G$($s$)=$Y$($s$)/$U$($s$).($c$)$ Next if we set $($t$)=0,$ solve for k so that the closed loop system has a closed loop pole at s$=$p$.($d$)$ niw let r$($t$)$ be non zero constant value solve for nbar so that the output y$($t$)$ in the block diagran becomes equal to r$($t$)$ in steady state. $($E$)$ what is the overall transfer function H$($s$)$ from r$($t$)$ to y$($t$).($F$)$ if the plant paramrters are a$=1,$ b$=2,$ c$=3,$ d$=4$ and the pole is p$=-5$ what is the state feedback gain k$?$ And what is nbsr$?$ And what id the transfer function?