$2.$ Consider the closed$-$loop system given by: $()()=22+2+2$ a$)$ Determine the values of $$ and $$ so that the system responds to a step input with approximately $5\%$ overshoot and a peak time of $1$ sec$.$ b$)$ Calculate the rise time and settling time. c$)$ Calculate the response of the system to a step input. d$)$ Calculate the response of the system to an input $()=10()$ where $()$is the unit impulse function.