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The Laplace transform of $f(t)= 2\sqrt{t/\pi}$ is $s^{-3/2}$. The Laplace transform of $g(t)=\sqrt{1/\pi t}$ is.

  1. $3s^{-5/2} /2$
  2. $s^{-1/2}$
  3. $s^{1/2}$
  4. $s^{3/2}$
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