1.

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

A. \(\frac{{3{s^{ - \frac{5}{2}}}}}{2}\)
B. \({s^{ - \frac{1}{2}}}\)
C. \({s^{\frac{1}{2}}}\)
D. \({s^{\frac{3}{2}}}\)
Answer» C. \({s^{\frac{1}{2}}}\)


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