$($Show work and steps. Circle$/$box final answers$)$

Problem $2$:

Given the following block diagram for a closed$-$loop control system of an aircraft:

a$($C$($s$))/($R$($s$))$

bK$\_(1)$ and K$\_(2)$ such that the closed loop system has the

following response characteristics: natural frequency $\backslash$omega $\_($n$)=5$ra$($d$)/($s$)$ and damping

ratio $\backslash$zeta $=0\mathrm{.}707.$

Note: The block right before C$($s$)$ in the given block diagram is s$,$ not $(1)/($s$).$