Important note: For the questions that Matlab is needed, you need to report both the output (i.e., results) of the Matlab and the scripts that you wrote to address the questions.

Question 1 (20 points) (i) Let's consider the following pair of 2" order dynamic system specification. Determine the nature of the transient response (undamped, underdamped, etc) and explain your answer. Find and plot on the s-space the location of the 2" order pair of poles %0S = 10%;T, =5 second Find the poles of the following transfer function, plot them on the s-space and write (by inspection) the general form of the step response in time domain without using inverse Laplace transform. Identify also the type of the response (i.e., undamped, overdamped, etc) 225 Bis)i= s2+ 30s + 225