Problem $4\mathrm{.}5$ Let the input to a discrete$-$time LTI system be x$[$n$]=3+$cos$($n$+$$/3).$ Determine the output of this system for the following impulse responses: $($a$)$ h$[$n$]=(21)$nu$[$n$]($b$)$ b$[$n$]=$sin$($n$/4)/($n$)($c$)$ h$[$n$]=(1)$nsin$($n$/4)/($n$)$ Answers: $($a$)$ y$[$n$]=6+(2/3)$cos$($n$+$$/3)($b$)$ y$[$n$]=3($c$)$ y$[$n$]=$cos$($n$+$$/3)$