Consider a linear time-invariant system with impulse response

0, k[n] 0. n

(a) Determine the output y[n] by explicitly evaluating the discrete convolution of x[n] and h[n].

(b) Determine the output y[n] by computing the inverse z-transform of the product of the z-transforms of x[n] and h[n].

J a", n> 0, k[n] 0. n < 0, 1. 0sns(N 1), x[n] = 0, otherwise.