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Question: 10 a bacterium colony grows exponentially at an intrinsic growth...

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10. A bacterium colony grows exponentially at an intrinsic growth rate of 0.5 per day Meanwhile, protozoans in the same ecosystem harvest 4000 bacteria per day from the colony. (a) Construct a differential equation to model the population growth of this colony. {Hint: See the equation in question #91 (b) Suppose the colony initially contains 10000 bacteria. Find the bacteria population y(t). (c) How many days does it take for the colony to triple in size?

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