?Population of the United States in the 20th century The population of the United States

Chapter 7, Problem 219

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Population of the United States in the 20th century The population of the United States (in millions) by decade is given in the table, where t is the number of years after 1900. These data are plotted and connected with a smooth curve y = p(t) in the figure.

a. Compute the average rate of population growth from 1950 to 1960.

b. Explain why the average rate of growth from 1950 to 1960 is a good approximation to the instantaneous) rate of growth in 1955.

c. Estimate the instantaneous rate of growth in 1985.

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