An unstable LTI system has the impulse response h$($t$)=$e$3$t u$($t$)$e$2$t u$($t$).($a$)$ Show that proportional feedback $($using G$($s$)=$ K$)$ cannot BIBO$-$stabilize the system.$($b$)$ Show that derivative feedback $($G$($s$)=$ Ks$)$ can stabilize the system, but the closed$-$loop system has a pole p $6,$ so its step response is slow.$($c$)$ Show that proportional$-$plus$-$derivative feedback control, $($G$($s$)=$ K$1+$ K$2$s$),$ can be used to put both closed$-$loop poles at $10.$ Compute K$1$ and K$2$ to accomplish this.