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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)}`