Find the Laplace transform of the following signals and locate the poles and zeros of \(F(s)\).

(a) \(f(t)=-10 \mathrm{~d} \delta(t) / d t\)

(b) \(f(t)=120 \cos (377 t) u(t)\).

(c) \(f(t)=10\left[1-e^{-500 t}\right] u(t)\).