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Q5) Answer the following questions a) Consider a system S with input x[k] and output y[k] related by y[k] = x[k]{9[k] + g[k – 1]}. = = 1- If g[k] 1 for all k, show that S is time invariant. 2- If g[k] · k, show that S is not time invariant. 3- If g[k] = 1 + (−1)k, show that S is time invariant. - a) Determine if each of the following systems is invertible. If it is, construct the inverse system. If it is not, find two input signals to the system that have the same output. 1- y[k] = cos (x[k]) ken 2- y[k] = [X=-- (2)*** x[n] n= Q6) Determine whether the following systems are memoryless, linear, causal, TI, and stable: a) yı(t) = x(t – 2) – x(-t), b) yz[k] = x[sin (***)] . = N