3. This exercise explores the differences between agent functions and agent programs. a) Can there be more than one agent program that implements a given agent function? Give an example, or show why one is not possible. b) Are there agent functions that cannot be implemented by any agent program? c) Given a fixed machine architecture, does each agent program implement exactly one agent function? d) Given an architecture with n bits of storage, how many different possible agent programs are there? e) Suppose we keep the agent program fixed but speed up the machine by a factor of two. Does that change the agent function?