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The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is

  1. $-\frac{s}{(s^2+s+1)^2}$
  2. $-\frac{2s+1}{(s^2+s+1)^2}$
  3. $\frac{s}{(s^2+s+1)^2}$
  4. $\frac{2s+1}{(s^2+s+1)^2}$
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