The population P (t) of a culture of the bacterium Pseudomonas aeruginosa is given by P (t)=-17072+84,000+10,000, where it is the time in hours since the culture was started. Part: 0/2 Part 1 of 2 (a) Determine the time at which the population is at a maximum. Round to the nearest hour. The population is at a maximum approximately hours after the culture was started.

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