An LTI system has the impulse response
h(t) = et u(–t – 1)
(a) Determine whether this system is causal.
(b) Determine whether this system is stable.
(c) Find and sketch the system response to the unit step input x(t) = u(t).
(d) Repeat Parts (a), (b), and (c) for h(t) = et u(t – 1).
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