Question 3 (20 marks) TEL302/05 (a) Determine if the system with the following characteristic (3 marks) equation is stable. (5+4)(s+5)(s-6)=0 (b) i. Construct a Routh table for the given characteristic (4 marks) equation:- 2s+4s²+4s+12=0 ii. With the answer obtained in (i), determine the number of roots with positive real parts. (c) The characteristic equation of a certain system is given as:- [s+65 +11s²+6s+K]=0 (3 marks) i. Construct a Routh table for the given characteristic (6 marks) equation. ii. Determine the restrictions that must be placed upon the parameter K to ensure the stability of the system. (4 marks)