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(Solved): The population P(t) of a culture of bacteria is given by P(t)=-1957t^(2)+91,000t+5000, where t is th ...



The population P(t) of a culture of bacteria is given by P(t)=-1957t^(2)+91,000t+5000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.


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