This problem concerns meeting design specifications using the closed$-$loop system in Problem $1.($a$)$ Pick a pair of values for parameters K$1$ and K$2$ such that the system is stable. Answer: Any pair with K$1>0$ and K$2>0($b$)$ Pick a pair of values for parameters K$1$ and K$2$ such that the step response exhibits zero steady$-$state error. Answer: Any pair with K$1>0$ and K$2>0($c$)$ Pick a pair of values for parameters K$1$ and K$2$ such that the step response is underdamped, exhibiting a peak time of $1$ second. Answer: Any $($stable$)$ pair with K$1=$ $2+$K$22/4($d$)$ Pickapair of values for parameters K$1$ and K$2$ suchthatthe step responseis critically$-$damped, exhibiting a dominant time constant of $2$ seconds. Answer: K$1=1/4$ and K$2=1($e$)$ Pick a pair of values for parameters K$1$ and K$2$ such that the frequency response exhibits resonance with a peak frequency of $10$ radians$/$second$.$ Answer: Any pair with K$22<2$K$1$ and K$1=100+$K$22/2($f$)$ Explain any approximation$($s$)$ used in your answers to parts $($a$)-($c$)$ and, if any, comment on the appro priateness for this particular system. Answer: Given the standard second$-$order system, part $($c$)$ employs a first$-$order approximation. $($g$)$ Repeat parts $($a$)-($f$)$ if in Problem $1$ we were rather given a proportional$-$integral controller G$($s$)=$ K$2+$K$1/$s and $($an unstable$)$ first$-$order plant P$($s$)=2/($s$2).$ Partial Answer: Note additional zero.