9. After t hours, the number of bacteria, N, in a culture can be modelled using the function N(t) = 7500 +64t³. a) Determine the average rate of change of the growth of the number of bacteria with respect to time for the first 6 hours. b) Estimate the instantaneous rate of change of the number of bacteria after 6 hours. Hint: using average rate of change, choose at least two intervals of time on either side that get closer to 6 hours.

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