Consider the system xk+1= Axk+ Bμk
yk= Cxk+ Dμk

Required:
a. Determine whether the system is stable or not.
b. Determine whether the system is controllable and/or observable.
c. Compute its transfer function.
d. Compute the first five samples of its unit-step response, assume initial conditions of the states are 0.

Water at 70°f and streams enter the mixing chamber at the same mass flow rate, determine the temperature and the quality of the exiting stream. 0 psia is heated in a chamber by mixing it with saturated water vapor at 20 psia. if both streams enters the mixing chamber at the same mass flow rate, determine the temperature and the quality of the existing system.