3-Take the following system with the input x, and output y, y(n) = x(n) – 2.2x(n - 1) + 2.2x(n − 2) — x(n − 3). - -(a) Obtain the impulse response of the system. -(b) Find the transfer function of the system. (cl) Find the poles and zeros of the system. -(c2) Sketch the pole-zero map. -(d) Is this a stable system? Why? (e) Find the output of the system, if x = {1, -1}. Find the answer directly in time-domain, and confirm your results by calculations in the z-domain. -(f1) Obtain the frequency response of the system. Simplify your expression and sketch the frequency response of this system. -(f2) Find the DC gain of the system, i.e., find the output of the system, if the input is (n) 1. Which frequency in the previous part could help you find the DC gain. -(f3) Take the input x(n) = sin(n). Find the output of the system. -(f4) Find the output of the system, if the input is x(n) = (-1)". -(f5) What frequencies are eliminated by this system? -(f6) Based on the magnitude-response of the system is this a filter? If so, of what kind. How can you modify the input-output relationship of the system, such that the maximum gain at pass-band is 1.