Question: 1. Formally prove that the CT system having input X(t) and output y(t) defined by the t+T/2 1 relationship y(t) = | xt')dt' where T

1. Formally prove that the CT system having input X(t) and output y(t) defined by the t+T/2 1 relationship y(t) = | xt')dt' where T >0 is (or is not), a) linear, b) time invariant, c) 1+1+1,-1/2 causal, d) BIBO stable, e) memoryless
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