$.$ A certain system has a transfer function H$($f$)=1/(1+$ f $^4)$ cos$(2$pi$*$t$)$ what is the corresponding output, y$($t$)?$ If the input to the system is x$($t$)=($a$)$ y$($t$)=(1/(1+(2$pi$)^4))*$ cos$(2$pi$*$t$)($b$)$ y$($t$)=(1/(1+(2$pi$)^4))*$ sin$(2$pi$*$t$)($c$)$ y$($t$)=1/2*$ cos$(2$pi$*$t$)($d$)$ y$($t$)=1/2*$ sin$(2$pi$*$t$)($e$)$ y$($t$)=0$