Which of the following signals is the impulse response of a relaxed system having a unit step response of:
s(t) = 3 t exp( -2 t) u(t) - 3 exp( -2 t) u(t) + 0.5 u(t)
Select one:
a. h(t) = 9 t exp( -2 t) u(t) - 6 exp( -2 t) u(t) + 0.5 d(t)
b. h(t) = -6 t exp( -2 t) d(t) + 9 exp( -2 t) d(t)
c. h(t) = 3 t exp( -2 t) d(t) - 3 exp( -2 t) d(t) + 0.5 d(t)
d. h(t) = -6 t exp( -2 t) u(t) + 9 exp( -2 t) u(t)
e. h(t) = 3 t exp( -2 t) u(t) - 3 exp( -2 t) u(t) + 0.5 u(t)
f. h(t) = -6 t exp( -2 t) u(t) -6 exp( -2 t) u(t) + 0.5 d(t)
g. h(t) = -6 t exp( -2 t) u(t) + 9 exp( -2 t) u(t) - 2.5 d(t)
h. h(t) = 3 t exp( -2 t) u(t) -3 exp( -2 t) u(t) + 0.5 d(t)
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