#1. (50 points) For the system shown below: y[n] 0.6 y[n-1] - 0.07 y[n-2]= x[n] + 0.4 x[n-1]+ 0.5 x[n-2] a) Write the Z-Transfer function by hand and tell the order of the system. b) Draw the pole zero plot, tell if the system is stable and why. (10 points) (10 points) c) Find the poles and zeros and obtain the Transfer function using MATLAB. d) Find the step response of the following system for 30 samples (10 points) 2 H(z) = (10 points) 1-.8 z-1 e) Calculate the steady state response, steady state error and the number of samples No2 to settle within 2% of the steady state value. Use MATLAB. Read them also from the plot. (10 points)