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Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is

  1. $\dfrac{s-2}{(s-2)^2+16} \\$
  2. $\dfrac{s+2}{(s-2)^2+16} \\$
  3. $\dfrac{s-2}{(s+2)^2+16} \\$
  4. $\dfrac{s+2}{(s+2)^2+16}$
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