(Solved): Recall that [n]={10n=0otherwise and that u[n]={10n0otherwise A linear tim ...

Recall that $\delta [n]=\{\begin{array}{ll}1& n=0\\ 0& \text{ otherwise }\end{array}$ and that $u[n]=\{\begin{array}{ll}1& n\ge 0\\ 0& \text{ otherwise }\end{array}$ A linear time-invariant system has an impulse response given by: $h[n]=3\delta (n-1)+2\delta (n-2)+\delta (n-3)$ The input is given by: $x[n]=5(u[n+1]-u[n-5])$ a) (MG, 5pts) Graph $h[n]$. Make sure to label your graph appropriately and specify the value of each non-zero term. a) (MG, 5pts) Graph $x[n]$. Make sure to label your graph appropriately and specify the value of each non-zero term. Use graphical convolution to compute the output of the system, $y[n]$. b) (MG, 15 pts) Graph $y[n]$. Make sure to label your graph appropriately and specify the value of each non-zero term. c) (AG, 5 pts) In the box below, enter the maximum value of $y[n]$.