Find the inverse Laplace transform of the following functions using the properties of Laplace transforms and the table of Laplace transform pairs.

a. \(F(s)=\frac{18}{s^{3}}+\frac{7}{s}\).

b. \(F(s)=\frac{1}{s-5}-\frac{2}{s^{2}+4}\).

c. \(F(s)=\frac{s+1}{s^{2}+1}\).

d. \(F(s)=\frac{3}{s^{2}+2 s+2}\).

e. \(F(s)=\frac{1}{(s-1)^{2}}\).

f. \(F(s)=\frac{e^{-3 s}}{s^{2}-1}\).
g. \(F(s)=\frac{1}{s^{2}+4 s-5}\).
h. \(F(s)=\frac{s+3}{s^{2}+8 s+17}\).