Problem $3.$ For the system shown in figure, where

$G(s)=\frac{4(s+10)}{s(s+2)}$ and $H(s)=s+1$

Determine the steady$-$state value of the error, $e_{ss}=r(t)-c_{ss},$

if the input is

$($a$)$ Standard step function, and $($b$)$ Standard ramp function. $($c$)$ What would be the output values at the ${10}^{th}$ second $($for $t=10sec)$ in $($a$)$ and $($b$).($d$)$ Estimate the system type, $n$ with a brief explanation.