Life expectancies in the United States are always rising because of advances in health care, increased education, and other factors. The rate of change (measured at the end of each year) of life expectancies for women in the United States between 1970 and 2010 can be modeled by

f(t) = 0.0004t²0.022t+ 0.36 years per year wheretis the number of years since 1970.

Note:fis measured in years (life expectancy) per year (chronological).

(a) Between 1970 and 2010, when was the life expectancy for women growing least rapidly? (Round your answer to one decimal place.)

t=(blank)

b) By how much is the life expectancy for women projected to increase between2003and 2010? (Round your answer to three decimal places.)

(blank)yr

Please fill in the blanks and state answers clearly.