Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in hours) is given by R(t) = t^2(t - 18) + 96t + 2000. a. At what time before 8 hours will the population be maximized? b. Find the maximum population. a. The population will be maximized at t = hours. b. The maximum population is million bacteria.
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Step 1: Find the derivative of R(t) to find the critical points where the population is maximized. Show more…
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