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Suppose a bacterial count satisfies logistic hypothesis. The initial count is 450 organisms/mL and the maximum...

Suppose a bacterial count satisfies logistic hypothesis. The initial count is 450 organisms/mL and the maximum count is 10000 organisms/mL. The count rises 18% in the first 12 hours. Establish and solve the Initial Value Problem to express the bacteria count as a function of time, graph this function and find when the bacteria count reaches 8000 organisms/mL.

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