Question: Suppose the life expectancy at birth (in years) of a female in a certain country is described by the function
g(t) = 50.02(1 + 1.09t)0.1 (0 ≤ t ≤ 150)
Where t is measured in years, with t = 0 corresponding to the beginning of 1900.
a. What is the life expectancy at birth of a female born at the beginning of 1980? At the beginning of 2000 ?
b. How fast is the life expectancy at birth of a female born at any time t changing?