1.

A linear time-invariant, causal continuous time system has a rational transfer function with simple poles at s = - 2 and s = - 4, and one simple zero at s = - 1. A unit step u(t) is applied at the input of the system. At steady state, the output has constant value of 1. The impulse response of this system is

A. [exp (- 2t) + exp (-4t)] u(t)
B. [-4 exp (- 2t) + 12 exp (-4t) - exp (-t)] u(t)
C. [-4 exp (- 2t) + 12 exp (-4t)] u(t)
D. [-0.5 exp (- 2t) + 1.5 exp (-4t)] u(t)
Answer» E.


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