Consider the LTI system x $=1111$ x $+10$ u y $=11$ x $+2$u $($i$)$ Determine the response of the system $($i$.$e$.,$ y$($t$))$ to zero input from initial condition x$0=11.(3$ points$)($ii$)$ Determine the response of the system to u$($t$)=$ cos$(5$t$)$ from zero initial condition. $(3$ points$)($iii$)$ Determine the response of the system to u$($t$)=3$ cos$(5$t$)$ from initial condition x$0=22.(2$ points$)$ Hint: You can use the formula Z t $0$ e cos$($ $)$d $=$ e t cos$($t$)+$ sin$($t$)$ $2+$ $2$