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The Laplace transform $F(s)$ of the function $f(t) = \cos (at)$, where $a$ is constant, _________

  1. $\dfrac{s^2}{s^2+a^2} \\$
  2. $\dfrac{a}{s^2+a^2} \\$
  3. $\dfrac{s}{s^2+a^2} \\$
  4. $\dfrac{s}{s^2-a^2} $
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