We are given a causal LTI system with transfer function (a) Find the unit impulse response of the system. (b) Find the unit step response. (c) Is the system stable? (d) Find the inverse Z -transform...

We are given a causal LTI system with transfer function

(a) Find the unit impulse response of the system.

(b) Find the unit step response.

(c) Is the system stable?

(d) Find the inverse Z -transform of T (z) by division. Calculate h(t), t = 0, 1, 2 from (a) and compare.

(e) Sketch the frequency response (magnitude only) of T (z).