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A population of bacteria is observed at various intervals. It is observed that the population roughly follows f(t) =20e 0.5t /(10 + 2(e 0.5t 1))...

A population of bacteria is observed at various intervals. It is observed that the population roughly follows f(t) =20e0.5t/(10 + 2(e0.5t−1)) where t is in days and the number is in the millions. What is the population at the start? What is it after 5 days? after 10days? after 15 days? What is the population after many, many days (limit for large t)?

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