Obtain the steady-state response, if any, of the following

QUESTION:

Obtain the steady-state response, if any, of the following models for the given input. If it is not possible to determine the response, state the reason.

a.                          \(\frac{Y(s)}{F(s)}=\frac{6}{7 s+3} \quad f(t)=14 u_s(t)\)

b.                          \(\frac{Y(s)}{F(s)}=\frac{7 s-3}{10 s^2+6 s+9} \quad f(t)=5 u_s(t)\)

c.                          \(\frac{Y(s)}{F(s)}=\frac{3 s+5}{s^2-9} \quad f(t)=12 u_s(t)\)

d.                          \(\frac{Y(s)}{F(s)}=\frac{4 s+3}{s^2+2 s-7} \quad f(t)=8 u_s(t)\)