Question: The total fertility rate at time t, denoted by F(t), is an estimate of the average number of children born to each woman (Assuming that

The total fertility rate at time t, denoted by F(t), is an estimate of the average number of children born to each woman

(Assuming that current birth rates remain constant) The graph of the total fertility rate in the United States shows the fluctuations from 1940 to 1990.
(a) Estimate the values of F'(1950), F'(1965, and F'(1987).
(b) What are the meanings of these derivatives?
(c) Can you suggest reasons for the values of these derivatives?

baby boom 3.5 3.0+ baby bust 2.5+ baby boomlet y= F(t) 2.0+ 1.5+ 1940 1950 1960 1970 1980 1990

baby boom 3.5 3.0+ baby bust 2.5+ baby boomlet y= F(t) 2.0+ 1.5+ 1940 1950 1960 1970 1980 1990

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