Suppose the rate of change of the expected life span l at birth of people born in
Question:
where t is the number of years past 1920.
(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?
Transcribed Image Text:
dl 14.304 dt t+ 20 Life Span (years) Year Life Span (years) Year 1920 1994 1996 54.1 75.7 1930 59.7 76.1 1940 62.9 1998 76.7 1950 68.2 2000 76.9 1960 69.7 2001 77.2 1970 70.8 72.6 2003 77.5 1975 2005 77.9 73.7 74.7 2010 2015 1980 78.1 1985 78.9 1990 75.4 2020 79.5 1992 75.5
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Related Book For
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
Question Posted:
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