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When a Bacterial Cell Is Suspended in a Fluid, the Concentration

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When a bacterial cell is suspended in a fluid, the concentration of a certain drug within the cell will change toward its concentration in the surrounding fluid at a rate proportional to the difference between the two concentrations.Suppose that a patient's blood is infected with these bacteria, which initially contain none of the drug.The patient is given enough of the drug to bring (and hold)its concentration in his blood to 0.0002.After two hours, the concentration within the bacterial cells is found to be 0.00003.Use differential equations to find how many hours it will be before the concentration within the bacteria reaches 0.00009.Round to 1 decimal place.


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