Determine which of the following properties hold and which do not hold for each of systems with input \(x(t)\) and output \(y(t)\) given below.

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Properties (a) Causal (b) linear (c) time invariant (d) memory less Systems (i) y(t) = tx(t-1) (ii) y(t) = [cos 3t] x(t) (iii) y(t) = x(t) (iv) y(t) = 0 ; t < 0 x(t) + x(t-2); t20