Find the associated open-loop transfer function H(s). (2) Determine the desired eigenvalues for a first-order system to with a time constant of 1 s, augmented by two additional real, negative eigenvalues (the first exactly 10 times the dominant eigenvalue, the third one less than the second). Plot the unit step response for this desired behavior and discuss your results. (3) Design a state feedback control law to achieve the eigenvalue placement of part (2). Compare open and closed-loop responses to a unit step input, assuming zero initial conditions. Normalize the closed-loop output level to match that of the open-loop system for easy comparison. Were your control law design goals met