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1. The population of a bacteria culture increases at the rate of 3 times the square root of the present population. A. Model the population

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1. The population of a bacteria culture increases at the rate of 3 times the square root of the present population. A. Model the population P = Pm of the bacteria population with a differential equation. B. Solve the differential equation that models the population P 2 PG) of the bacteria population. C. Suppose the population at time t = 0 hours is moo. Derive an equation for the population P as an explicit function of time t {in hours]. Your equation should contain no undetermined constants. D. What's the population of the bacteria culture at the end of 10 hours? After 100 hours? {You can round down to an integer for your population solutions.)

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