LIFE Expectancy OF A Female Suppose that in a certain country, the life expectancy at birth of a female is changing at the rate of g ′ ( t ) = 5.45218 ( 1 + 1.09 t ) 0.9 years/year. Here, t is measured in years, with t = 0 corresponding to the beginning of 1900. Find an expression g ( t ) giving the life expectancy at birth (in years) of a female in that country if the life expectancy at the beginning of 1900 is 50.02 years. What is the life expectancy at birth of a female born in 2000 in that country?
LIFE Expectancy OF A Female Suppose that in a certain country, the life expectancy at birth of a female is changing at the rate of g ′ ( t ) = 5.45218 ( 1 + 1.09 t ) 0.9 years/year. Here, t is measured in years, with t = 0 corresponding to the beginning of 1900. Find an expression g ( t ) giving the life expectancy at birth (in years) of a female in that country if the life expectancy at the beginning of 1900 is 50.02 years. What is the life expectancy at birth of a female born in 2000 in that country?
Solution Summary: The author explains that the expression for the rate of change of life expectancy at birth of a female is 50.02(1+1.09t)0.1.
LIFE Expectancy OF A Female Suppose that in a certain country, the life expectancy at birth of a female is changing at the rate of
g
′
(
t
)
=
5.45218
(
1
+
1.09
t
)
0.9
years/year. Here, t is measured in years, with t = 0 corresponding to the beginning of 1900. Find an expression g(t) giving the life expectancy at birth (in years) of a female in that country if the life expectancy at the beginning of 1900 is 50.02 years. What is the life expectancy at birth of a female born in 2000 in that country?
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