Growth

raeesa1

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Jul 27, 2011
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The number of yeast cells in a laboratory culture increases rapidly at first but levels off eventually. The population is modeled by the function below, where t is measured in hours. At time t = 0 the population is 20 cells and is increasing at a rate of 4 cells/hour.

(a) Find the values of a and b.
(b) According to this model, at what number of cell does the yeast population stabilize in the long run?
 
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