Problem $9\mathrm{.}1$

Use the following transfer functions to find the steady$-$state response $y_{ss}(t)$ to the given input function $f(t).$

a$.T(s)=\frac{Y(s)}{F(s)}=\frac{25}{14s+18},f(t)=15sin1\mathrm{.}5t$

b$.T(s)=\frac{Y(s)}{F(s)}=\frac{15s}{3s+4},f(t)=5sin2t$

c$.T(s)=\frac{Y(s)}{F(s)}=\frac{s+50}{s+150},f(t)=3sin100t$

d$.T(s)=\frac{Y(s)}{F(s)}=\frac{33}{200}\frac{s+100}{s+33},f(t)=8sin50t$