For a system with the transfer function model provided below, find the following parameters and determine the system's response to a unit step input:

$1.$ Transfer Function:

$\backslash [$

G$($s$)=\backslash$frac$\{1\}\{(3$ s$+1)($s$+3)\}$

$\backslash ]$

Tasks:

a$.$ Maximum overshoot

b$.$ Rise time

c$.$ Settling time

d$.$ Final value

e$.$ Settling time with a steady$-$state error tolerance of $\backslash (\backslash$pm $5\backslash \%\backslash ).$

Use the transfer function to calculate and plot the system's response to a step input.