Use the following theorem. If
F(s)=L{f(t)}
and
n=1,2,3,dots
, then
L{t^(n)f(t)}=(-1)^(n)(d^(n))/(ds^(n))F(s)
. Evaluate the given Laplace transform. (Write your answer as a function of
s
.)
L{6t^(2)cos(t)}