Question

3. 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
(GATE-EC-2008)
(a) (exp(-2t)+exp(-41) Ju(t)
(b) (-4exp(-2t)+12exp(-4t)-exp(-1)]u(t)
(c) (-4exp(-2t)+12exp(-4t)]u(t)
(d) (-0.5exp(-2t)+1.5exp(-41)]u(t)​

Answer 1

Answer:

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