Second$-$orderfactorsarisefortransfer functions with complex$-$conjugate poles$/$zeros$,$ or when $|$$|<1$ in the standard parametrization s$2+2$ns $+$ $2$ n$.($a$)$ Find the peak magnitude Mp$,$ peak frequency p and the $3-$dB bandwidth BW for each standard second$-$order system with the following performance characteristics: $($i$)$ damping ratio $=0\mathrm{.}2,$ settling time Ts $=3$ seconds. $($ii$)$ damping ratio $=0\mathrm{.}2,$ peak time Tp $=3$ seconds. $($iii$)$ settling time Ts $=4$ seconds, peak time Tp $=2$ seconds. Hint: Recall Problem $3\mathrm{.}2$ of Homework $3($and also Section $10\mathrm{.}8$ of the text$)$