Attempt $1$:$20$ attempts remaining.

Given that

$L\{\frac{cos(8\sqrt[\phantom{2}]{t})}{\sqrt[\phantom{2}]{t}}\}=\frac{e^{-\frac{16}{s}}}{\sqrt[\phantom{2}]{s}}$

find the Laplace transform of $\sqrt[\phantom{2}]{\frac{t}{}}cos(8\sqrt[\phantom{2}]{t}).$

$L\{\sqrt[\phantom{2}]{\frac{1}{}}cos(8\sqrt[\phantom{2}]{t})\}=$

$$

$$