Same question as in Problem 6.4 for the functions f1(t) = te-at, f2(t) = t 2 e-at, when known is the Laplace transform of e-at (a being a positive real constant). Calculate the Laplace transforms of...

Same question as in Problem 6.4 for the functions f1(t) = te-at, f2(t) = t 2 e-at, when known is the Laplace transform of e-at (a being a positive real constant).

Calculate the Laplace transforms of the following functions both analytically and with MATLAB®:

(a) f(t) = te-at sinh(~t).