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Please solve number 1 to 3 perfectly

A culture of yeast grows at a rate proportional to its size. If the initial population is 4000 cells and it doubles after 3 hours, answer the following questions.

1. Write an expression for the number of yeast cells after t hours.

Answer: P(t) = 

2. Find the number of yeast cells after 8 hours.

Answer: 

3. Find the rate at which the population of yeast cells is increasing at 8 hours.

Answer (in cells per hour): 

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