Find the Laplace transforms of the following waveforms. Locate the poles and zeros of \(F(s)\). Use MATLAB to verify your results.

(a) \(f_{1}(t)=2 \delta(t)+\left(144 t e^{-12 t}\right) u(t)\)

(b) \(f_{2}(t)=\left[100+50 e^{-10 t}(\cos 100 t+\sin 100 t)\right] u(t)\)