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**αℓєєиα's question at Yahoo! Answers regarding the logistic population growth model**

Here is the question:

I have posted a link there to this topic so the OP can see my work.Calculus Exponential Growth Problem?

Really hating calculus right now...

The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function:

n = f(t) = a / (1+be^(-0.9t))

Where t is measured in hours. At time t = 0 the population is 20 cells and is increasing at a rate of 16 cells/hour.

a) Find the values of a and b.

b) According to this model, what happens to the yeast population in the long run?

If you could explain how to do this problem that'd be great. It's just that this equation of the growth is unfamiliar.