Let P(t) be the population (in millions) of a certain city t years after 2015, and suppose

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Let P(t) be the population (in millions) of a certain city t years after 2015, and suppose that P(t) satisfies the differential equation P′(t) = .03P(t), P(0) = 4.

(a) Use the differential equation to determine how fast the population is growing when it reaches 5 million people.

(b) Use the differential equation to determine the population size when it is growing at the rate of 400,000 people per  year.

(c) Find a formula for P(t).

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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