Life expectancy Suppose the rate of change of the expected life span l at birth of people born in the United States can be modeled by
(a) Use integration and the data point for 2000 to find the function that models the life span.
(b) The data in the table give the expected life spans for people born in various years. Graph the function from part (a) with the data, with t = 0 representing 1920.
(c) How well does the model fit the data?