1) The number of yeast cells in a laboratory culture increases rapidly at first but levels off eventually. The population is modeled by the function below, wheretis measured in hours. At timet= 0 the population is 10 cells and is increasing at a rate of 2 cells/hour.

a = ?

b = ?

According to this model, at what number of cell does the yeast population stabilize in the long run?

2) Suppose that a population of bacteria triples every hour and starts with 800 bacteria.

(a) Find an expression for the numbernof bacteria afterthours.

f(t) = (800)3^t <- I did that already

f'(2.5) = ?