1) The number of bacteria after t hours in a controlled laboratory experiment is n = f (t). a) Interpret the derivative f'(5) (What is the meaning of this derivative). What are its units? b) Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger f'(5) or f'(10)? Why? If the supply of nutrients is limited, would that affect your conclusion? If so how and why