$($d$)$ Consider a linear, time$-$invariant system with impulse response

$h(t)=e^{-2t}u(t)$

where $u(t)$ is the unit$-$step function.

$($i$)$ Is the system stable in the bounded$-$input bounded$-$

output sense? Justify your answer.

$($ii$)$ Determine, sketch and label the unit$-$step response of

the system, $s(t).$

$[9$ marks$]$