Consider the following system.H(S)=1/($2 + 9) (a) Find the poles and place the poles on the s-plane. (b) For the bounded input, u(t) = cos (3t), find the output Y(s). (c) Using the Matlab command ilaplace (), find the time function of the output y(t). Attach your Matlab code. (See the sample Matlab code in Blackboard that shows how to use ilaplace()). (d) Using Matlab, plot the output for 30 sec. Attach the code and plot. (e) Based on the BIBO stability, is this system that has its poles on the imaginary axis stable? Why or why not?