Determine whether is each of the following systems are 1) Causal, 2) Stable, 3) Time-invariant, 4) Linear, and 5) Memoryless. Justify your answers. In each case, y(t) denotes the system output, and X(t) is the system input.
(a) y(t) = x(t-2) + x(1 – t)
(b) y(t) = (sin(3t)]x(t)
(c) y(t) = 5 dx (t)/dt
(d) y(t) = x