If is continuous for the {\it Laplace transform} of is the function defined by
and the domain of is the set consisting of all number for which the integral converges.

(a) Find the Laplace transform of (Make sure you can state the domain of if we ask for it later!)

(b) Find the Laplace transform of (Make sure you can state the domain of if we ask for it later!)

(c) Find the Laplace transform of (Make sure you can state the domain of if we ask for it later!)