Plot the impulse response of each of the following systems. Make sure to specify the amplitude value of every sample. Use the symbols constant until + or until -. (a) S({[n]})= {cos(x[n])} (b) S({[n]}) = {n cos(n+1)x[n]} (c) S({a[n]}) = {x[-n+2]} (d) S({[n]})= {[2n]} to signify that the impulse response remains (e) S({x[n]}) = {y[n]} where for each n Z, y[n] = { [n], if [n] 0, n+1 (f) S({x[n]}) = {y[n]} where for each n Z, y[n] = x[k] < 0 (System f is worth triple points.) k=- State whether each system of Problem above is linear or not. If not, explain why.