Use the properties tabulated in Appendix E to find the Laplace transformation of each following function of time.

a$.f(t)=t{e}^{-2t}cos3t$

b$.f(t)=t^{2}sint$

c$.f(t)=\frac{d}{dt}(t^2{e}^{-t})$

d$.f(t)={\displaystyle \underset{0}{\overset{t}{}}}{}^2{e}^{-}d$