12. An LTI system has the following transfer function, determine the poles and zero locations. H(s) s+2 s+7s+12 Answers: zeros poles 13. Determine the impulse response h(t) of the transfer function...

12. An LTI system has the following transfer function, determine the poles and zero locations. H(s) s+2 s+7s+12 Answers: zeros poles 13. Determine the impulse response h(t) of the transfer function below. st2 s2+7s+12 H(s) Answer: h(t) 14. An LTI system has the following transfer function, determine the output system response y(t) due the input x(t)- e u(t) st2 +7s+12 H(s) Answer: y(t) 15. Compute the inverse Laplace transform of the transfer function below using partial fraction expa and check using the inverse transform table. H(s) 4s +1 Answer: h(t)