(Solved):   Q3) Obtain the Laplace transform of the following functions: a. \( f(t)=\left(1-e^{-t}\rig ...

 

Q3) Obtain the Laplace transform of the following functions: a. \( f(t)=\left(1-e^{-t}\right), t \geq 0 \) b. \( g(t)=e^{t}, \quad t \geq 0 \) c. \( q(t)=10, t \geq 0 \) Q3) Obtain from the table the inverse Laplace transform (the time domain) of the following functions: a. \( F(S)=\frac{1}{10} \frac{1}{5} \) b. \( G(S)=\frac{1}{5^{2}} \) c. \( Q(s)=\frac{s}{s^{2}+\omega^{2}} \)