The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c). | Click to see the data table. a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is. 1+ (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. ) b) Estimate the expected life span of a person born in the country in 1959 and a person born in 2009. The expected life span of a person born in the country in 1959 isO (Type an integer or a decimal rounded to one decimal place as needed.) The expected life span of a person born in the country in 2009 is (Type an integer or a decimal rounded to one decimal place as needed.) c) Find an upper limit for a person's expected life span in the country, according to this model. ] (Type an integer or a decimal rounded to one decimal place as needed.)
The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c). | Click to see the data table. a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is. 1+ (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. ) b) Estimate the expected life span of a person born in the country in 1959 and a person born in 2009. The expected life span of a person born in the country in 1959 isO (Type an integer or a decimal rounded to one decimal place as needed.) The expected life span of a person born in the country in 2009 is (Type an integer or a decimal rounded to one decimal place as needed.) c) Find an upper limit for a person's expected life span in the country, according to this model. ] (Type an integer or a decimal rounded to one decimal place as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c).
| Click to see the data table.
a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is.
y =
1+
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. )
b) Estimate the expected life span of a person born in the country in 1959 and a person born in
2009.
The expected life span of a person born in the country in 1959 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
The expected life span of a person born in the country in 2009 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
c) Find an upper limit for a person's expected life span in the country, according to this model.
] (Type an integer or a decimal rounded to one decimal place as needed.)
Life Span
(years)
53.1
Life Span e
(years)
72.8
Birth
Birth
Year
Year
1920
1994
1930
57.9
1996
73.0
1940
62.0
1998
73.1
1950
65.3
1999
73.2
1960
67.8
2000
73.3
1970
69.8
2001
73.4
1975
70.6
2002
73.4
1980
71.3
2003
73.5
1987
72.2
2004
73.5
1988
72.3
2005
73.6
1989
72.4
2010
73.9
1990
72.5
2015
74.1
1992
72.6
2020
74.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f98e9ba-57ad-4e54-87fe-55e132738bc3%2Ff18583ef-a5e5-4e40-be1e-e6a2d5222183%2Ftz6zgeh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expected life span of people in a country for certain birth years is given in the table. Complete parts (a)-(c).
| Click to see the data table.
a) Find a logistic function to model the data, with x equal to how many years after 1900 the birth year is.
y =
1+
(Use integers or decimals for any numbers in the expression. Round to three decimal places as needed. )
b) Estimate the expected life span of a person born in the country in 1959 and a person born in
2009.
The expected life span of a person born in the country in 1959 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
The expected life span of a person born in the country in 2009 isO
(Type an integer or a decimal rounded to one decimal place as needed.)
c) Find an upper limit for a person's expected life span in the country, according to this model.
] (Type an integer or a decimal rounded to one decimal place as needed.)
Life Span
(years)
53.1
Life Span e
(years)
72.8
Birth
Birth
Year
Year
1920
1994
1930
57.9
1996
73.0
1940
62.0
1998
73.1
1950
65.3
1999
73.2
1960
67.8
2000
73.3
1970
69.8
2001
73.4
1975
70.6
2002
73.4
1980
71.3
2003
73.5
1987
72.2
2004
73.5
1988
72.3
2005
73.6
1989
72.4
2010
73.9
1990
72.5
2015
74.1
1992
72.6
2020
74.3
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