Question

Find inverse transform of F(s)=(10s)/(4s^2+36)

Answer 1

On the bottom, factor out the 4, then pull out the 10, you'll get:
10/4 times s/(s^2+8) so when you do inverse transform you get:
\[f(t)=(5 / 2) *cos \sqrt{8} * t\]

I think this is correct, but it's been a while , so you might want to check my work...