Given two independent 1st order recursive systems with complex constant coefficients as described in the figures below, determine the following: a. Z-transforms of h1(n) and h2(n) b. Simplified...

Given two independent 1st order recursive systems with complex constant coefficients as described in the figures below, determine the following:
a. Z-transforms of h1(n) and h2(n)
b. Simplified (compressed) rational Z-transform H(z) if the two systems are connected in
parallel
c. Simplified (compressed) rational Z-transform H(z) if the two systems are connected in
series
d. Impulse response if the two systems are connected in parallel
e. Impulse response if the two systems are connected in series