Q.1 (12 marks) The systems are described by the following transfer functions S+1 (a). G(s) -+353+302+30s+200 s2+2s+1 3s5+5s4+6s3+3s2+2s+1 (c). G(s) - +2s+342+35+2 For each system: (1). Simulate the system and obtain the unit-step response. (2). determine the stability of the system using Routh's stability criterion (3). determine the number of roots in the LHP, RHP and on the imaginary axis based on analysis in (2) (4). use Matlab pole function to determine the poles and verify your answers in (3)