The unit step response of a system is [ y(t)=1-frac{7}{3} e^{-t}+frac{3}{2} e^{-2 t}-frac{1}{6} e^{-4 t} ] The

Question:

The unit step response of a system is

\[
y(t)=1-\frac{7}{3} e^{-t}+\frac{3}{2} e^{-2 t}-\frac{1}{6} e^{-4 t}
\]

The transfer function model of the system is
(a) $\frac{(s+8)}{(s+1)(s+2)(s+4)}$
(b) $\frac{(s+4)}{(s+1)(s+2)(s+8)}$
(c) $\frac{(s+1)}{(s+2)(s+4)(s+8)}$
(d) $\frac{1}{(s+1)(s+2)(s+4)}$

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