Final answer:
The correct statements are (c) 'A pole is a slow pole if it results in the system reaching steady state after a long time,' and (d) 'Insight regarding the length of time required for a system to reach steady state can be gained by simply examining the poles of the system.' These highlight the importance of pole positions in determining system dynamics.
Step-by-step explanation:
The statement in question relates to the dynamics of a system and how the location of poles in the system's transfer function relates to its behavior. Among the given options, the correct statement is (c): A pole is a slow pole if it results in the system reaching steady state after a long time. This is accurate because poles of a system's transfer function that are closer to the origin of the s-plane (real and imaginary axes) indicate a slower response as they correspond to lesser damping and thus a longer time to reach equilibrium. On the contrary, poles that are farther to the left in the s-plane indicate a faster response. Additionally, option (d) also presents a true concept: Insight regarding the length of time required for a system to reach steady state can be gained by simply examining the poles of the system. The dynamics of poles are key to understanding system behavior.