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The Laplace Transform of $f(t)=e^{2t} \sin (5t)(ut)$ is 

  1. $\frac{5}{s^{2}-4s+29}$
  2. $\frac{5}{s^{2}+5}$
  3. $\frac{s-2}{s^{2}-4s+29}$
  4. $\frac{5}{s +5}$
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