Given the following transfer function: \frac{Y(s)}{X(s)}=G(s)=\frac{9}{2 s^{2}+3 s+18} What is the order of this system?

What are the zero/s (if any) of G(s)?

What are the pole/s (if any) of G(s)?

What is the damping ratio

What is the natural frequency wn?

Would the system step response be oscillatory?

Discuss why or why not.

What is the DC gain (or simply the gain) of the transfer function G(s)?

What is the output steady state value yss when the input is constant at 2?

What is the steady state error for above case?

What is the output rise time when the system is given a step input?What is the output 5% settling time when the system is given a step input?

What is the % Overshoot when above system is given a step input?