2.7-2. For the number sequence e(k)}, E(z) = (1 + z) (a)Apply the final-value theorem to E(z). (b)Check your result in part (a) by finding the inverse z-transform of E(z). (c) Repeat parts (a) and (b) with E(z) = z/(z – 1)*. (d)Repeat parts (a) and (b) with E(z) = z/(z - 0.9)*.

8) Determine the z-transform of the difference equation shown below. Do not simplify or solve for anything further. Just determine the z-transform. Assume that: • y(−1) = 10, y(−2) = 20 n • x(n) = (-)" u(n) y(n) + 1½y(n y(n)+y(n-2) = 8 x(n)