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(Solved): 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^( ...



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)}
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