The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The

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The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function

п %3D f(0) . a f(t) 1 + be-0.7t п

where t is measured in hours. At time t = 0 the population is 20 cells and is increasing at a rate of 12 cells/hour. Find the values of a and b. According to this model, what happens to the yeast population in the long run?

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