The unit ramp response of a system having transfer function (mathrm{G}(s)=frac{s+1}{s+2}), is (a) (frac{1}{2}left(1-e^{-2 t}ight)-t) (b) (frac{1}{4}+frac{1}{4}

Question:

The unit ramp response of a system having transfer function $\mathrm{G}(s)=\frac{s+1}{s+2}$, is
(a) $\frac{1}{2}\left(1-e^{-2 t}ight)-t$
(b) $\frac{1}{4}+\frac{1}{4} e^{-2 t}-\frac{1}{2} t$
(c) $\frac{1}{4}\left(1-e^{-2 t}ight)+t$
(d) $\frac{1}{4}-\frac{1}{4} e^{-2 t}+\frac{1}{2} t$

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