Question $1($Laplace Transform$)-25$ points

Without using the LT table or Matlab$/$Python$,$ derive $F(s)$ of $f(t)$ for the following cases.

Show derivation steps.

$f(t)=e^{2t-4}$;

$f(t)=cos3t$;

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