Given the following transfer function, 5s + 15 X(s) = (s + 2)(s² + 3s + 9) S a) Determine the partial fraction expansion of X(s); b) Apply inverse Laplace to obtain x(t) of the function found in part...

1. Determine the partial fraction expansion of X(s);

1. Applyinverse Laplace
   to obtain x(t) of the function found in part (a).

Show your solution steps.

Extracted text: Given the following transfer function, 5s + 15 X(s) = (s + 2)(s² + 3s + 9) S a) Determine the partial fraction expansion of X(s); b) Apply inverse Laplace to obtain x(t) of the function found in part (a). Show your solution steps.