Chapter 12, Problem 40P

a)

To determine

Determine $f\left(t\right)$ for the given expression $F\left(s\right)=\frac{6\left(s+10\right)}{\left(s+5\right)\left(s+8\right)}$.

b)

To determine

Determine $f\left(t\right)$ for the given expression $F\left(s\right)=\frac{20s^2+141s+315}{s\left(s^2+10s+21\right)}$.

c)

To determine

Determine $f\left(t\right)$ for the given expression $F\left(s\right)=\frac{15s^2+112s+228}{\left(s+2\right)\left(s+4\right)\left(s+6\right)}$.

d)

To determine

Determine $f\left(t\right)$ for the given expression $F\left(s\right)=\frac{2s^3+33s^2+93s+54}{s\left(s+1\right)\left(s^2+5s+6\right)}$.