Laplace transform

1) Find the Laplace transform of F(t) = A [ 1 - 2cos(Bt)] u(t) . Locate the poles and zeros of F(s).

2) Find the Laplace transform of the following waveform:
f(t) = +[5-2e^-5t ] u(t) - 3cos [10 (t-0.5)] u(t-0.5)

3) Find the Laplace transform of the following waveform
a) f1(t) = d/dt (10e^-5t cos 20t)

b) f2(t) = int (0->t) e^-10x dx + 10te^-10t u(t)