For the system of Figure (a), the input signal is x(t), the output signal is y(t), and the impulse response is h(t). For each of the following cases find y(t):
(a) x(t) = et u(–t) and h(t) = 2u(t) – u(t – 1) - u(t – 2).
(b) x(t) = u(1– t), h(t) = e–tu(t – 1).
(c) x(t) = u(–t), h(t) = e–t[u(t)– u(t – 400)].
(d) x(t) = e–tu(t), h(t) = u(t – 1) – u(t – 3).
(e) x(t) = e–at[u(t)– u(t – 2)] and h(t)= u(t – 2).
(f) x(t) = et u(–t), h(t) = 2u(1– t).
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