The polynomial function $$f(x) = -2212 x^2 + 57,575 x + 107,896$$ models the cumulative number of deaths from AIDS in the United States, $f(x)$, where $x$ is the number of years after 1990.

a) Find $f(5)$ =

b) In what year is the cumulative number of AIDS deaths in the United States equal to your answer in part a)?
Answer: