Find the inverse transforms of the following functions: (a) (F_{1}(s)=frac{300 s(s+50)}{s^{2}left(s^{2}+40 s+300 ight)}) (b) (F_{2}(s)=frac{2000 s^{3}}{(s+5)left(s^{2}+4 s+8

Find the inverse transforms of the following functions:

(a) \(F_{1}(s)=\frac{300 s(s+50)}{s^{2}\left(s^{2}+40 s+300\right)}\)

(b) \(F_{2}(s)=\frac{2000 s^{3}}{(s+5)\left(s^{2}+4 s+8\right)}\)