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Population Growth
Using 20th-century U.S. census data, the population of New York state can be modeled by

P(t)=19.875/1 +57.993e-0.0350051'
where P is the population in millions and t is the number of years since 1800. Based on this model,
(a) What was the population of New York in 1850?

(b) What will New York state's population be in 2015?

(c) What is New York's maximum sustainable population (limit to growth)?