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Suppose that a bacterial count satisfies the logistic hypothesis. The initial count is 400 organisms /...

Suppose that a bacterial count satisfies the logistic hypothesis. The initial count is 400 organisms / mL and the maximum sustainable count is 12,000 organisms / mL. The count is found to increase 30% in the first 24 hours. Establish and solve an Initial Value Problem to express the count as a function of time, graph this function and calculate how long the count reaches 10,000 organisms / mL.

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dP at H(-) k = 12000 - 12 = 1200o Plti u celotti Certti you 12o0o pios 40° to Yoo - 40 Itc CELS gr. 520 12000 PHC (242 Pzul o15000 —10000 —5000 500 1000 1500

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