In the laboratory, the Escherichia coli bacteria grows such that the rate of change of the population
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In the laboratory, the Escherichia coli bacteria grows such that the rate of change of the population is proportional to the population present. Assume that 500 bacteria are initially present, and 650 are present after 1 hour.
(a) Determine P(t), the population after t hours.
(b) How long does it take for the population to double in size?
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