Please show work and answer all parts of the question.

Problem 2: (20 points). Laplace transforms Find the Laplace transform of the following functions. You may use the Laplace transform and L- transform theorem tables directly. a) f(t) = e-at cos(20t) Hint: It may be helpful to use a relation from the Euler's theorem: cos((t) - ette-it 2 b) f (t) = d(sin(2t)) dt