essay

Question

The number of bacteria after t hours in a controlled laboratory experiment is n = f (t).
(a) What is the meaning of the derivative f ‘(5)? 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)? If the supply of nutrients is limited, would that affect your conclusion? Explain.

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