4. The system G(s) is the transfer function of an open loop system. Using inverse Laplace transform and partial fractions find the total output response of this system. G(s) = 4s/s(s+3)(s-5) Answer the following: a. What is the gain factor of the open loop system. b. Draw the open loop diagram of this system. Spread the block diagram so it shows all the components of it in separate blocks. Hint: Gain, plant.........etc. c. Is the open loop system stable? e. d. Assuming that the output response of the open loop is not good enough desing a negative feedback control system where H(S) is an integrator. Draw the closed loop system block diagram and find the closed loop transfer function. Is this system stable?. Draw the new poles and zeros.