Consider a first$-$order system with the following transfer function: G$($s$)=$ s s $+1$ with time constant $>0.($i$)$ Write a formula for the magnitude frequency response $|$G$($i$)|$ and the angular frequency response arg$($G$($i$)).($ii$)$ Use your answer from part $($i$)$ to write down the steady$-$state response of the system yss$($t$)$ to a unit$-$magnitude sinusoidal input u $=$ sin$($t$).($iii$)$ Use your answer from part $($ii$)$ to determine $($a$)$ the approximate steady$-$state response of the system to a low$-$frequency input $1/$ $,$ and $($b$)$ the approximate steady$-$state response of the system to a high$-$frequency input $1/$ $.($iv$)$ A low$-$pass filter is a system that preserves low$-$frequency sinusoidal inputs and attenuates high$-$frequency sinusoidal inputs. A high$-$pass filter preserves high$-$frequency sinusoidal inputs and attenuates low$-$frequency sinusoidal inputs. Comparing your results in this exercise and the results from Section $6\mathrm{.}2\mathrm{.}2,$ identify which transfer function $($G$($s$)=1$ s$+1$ and G$($s$)=$ s s$+1)$ represents a low$-$pass filter and which represents a high$-$pass filter