Consider a system with the mathematical model given by the differential equation:

dy(t) dy(t) dy(1) +10- + 5- +2y(t) = u(t). == dt dr dt A state variable representation of the system is: -2 -1 -0.4 a. x(t) 1 0 0 1 0 == y(t) [00 0.2]x(1) -5 -1 -0.7 b. x(t) = 1 0 0 x(t) 0 -1 0 = y(t) [00 0.2]x(t) = 1 y(t) = [10]x(t) + u(t) 2 -1 -0.4 d. x(t) = 1 0 0 0 1 0 y(t) u(t) [00 0.2]x(1) For Problems 7 and 8, consider the system represented by x(t) = Ax(t) + Bu(t), where 0 A = and B =