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}
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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