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The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to

  1. $\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$
  2. $\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$
  3. $\frac{1}{(s-\alpha)^2}$
  4. None of the above
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