The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth model, n(t) = 3450 / (0.5 + 22.5e^-0.047t), where t is measured in years.
a) Find the initial bird population.
b) Use a graphing calculator to graph the function. (Or plug in larger and larger values for t.) What size does the population approach as time goes on?
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