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  3. a bacteria culture initially contains 100 cells an

A bacteria culture initially contains 100 cells and grows at a rate proportional to its...

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420.(a) Find an expression for the number of bacteria after t hours.(b) Find the number of bacteria after 3 hours.(c) Find the rate of growth after 3 hours.(d) When will the population reach 10,000?

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