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Male life expectancy suppose the life expectancy of a male

Question: MALE LIFE EXPECTANCY Suppose the life expectancy of a male at birth in a certain country is described by the function

f(t) = 46.9(1 + 1.09t)^0.1 (0 ≤ t ≤ 150)

where t is measured in years, with t = 0 corresponding to the beginning of 1900. How long can a male born at the beginning of 2000 in that country expect to live? What is the rate of change of the life expectancy of a male born in that country at the beginning of 2000?

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