1- find the inverse Laplace transforms of the following functions:
A- f1(s)= 50(s+10)/((s+5)(s+20))
b- f2(s)= (2s^2)((s+200)(s+500))
2- find the inverse Laplace transforms of the following functions and sketch their waveforms for β >0 :
a- f1(s)= (β(s+β))/(s(s^2+β^2))
b- f2(s)=(s(s+β))/((s^2+β^2))
3-find the inverse Laplace transforms of the following functions :
a- f1(s)= α^2/(s^2(s+α))
b- f2(s)=α^2/(s(s+α)^2)
4-find the inverse Laplace transforms of the following functions :
a-f1(s)= 600/((s+10)(s+20)(s+40))
b- f2(s)= (6(s+10))/((s+5)(s+20))
5-find the inverse Laplace transforms of the following functions :
a- f1(s)= 16s/((s+2)(s^2+12s+13))
b- f2(s)= (4(s^2+4))/(s(s^2+16))