(Solved):
1. (20\%). Using the Laplace definition, find the Laplace transform and region of convergence of \ ...

1. (20\%). Using the Laplace definition, find the Laplace transform and region of convergence of \[ x(t)=e^{4 t} \cosh (5 t) u(t) \] (hint: \( \cosh (x)=\frac{e^{x}+e^{-x}}{2} \) )