Given the LTI causal system described by the following difference equation: 2y(n)=y(n1)+(21)x(n)+(21)x(n1) 1) Using Z transform, find the system's transfer function. 2) Describe its ROC and sketch the systems' poles and zeros in the Z-plane 3) Find the system's impulse response. 4) Is this system stable? Why? 5) Find the output when the input is x(n)=3u(n). 6) Use MATLAB to plot the impulse response. Remember that h(n) is a discrete signal. submit a screenshot of you code