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The following is known about a discrete-time LTI system with input rn] and output vin: (a) If x[n] = (-2) for all n, then y[n] = 0 for all n. (b) If r/n] (1/2)u[n] for all n, then y[n is of the form: where a is a constant (c) Determine the value of the constant a. (d) Determine the response vinl if the input lnl is n for all n.

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