For the years 2000 to 2019, the number of applicants to U.S. medical schools can be closely approximated by A(t) = 0.1953t⁴ - 13.70t³ + 282.9t² - 836.7t + 35,842, where t is the number of years since 2000.
(a) Graph the number of applicants on 0 ≤ t ≤ 19.
(b) Based on the graph in part (a) during what year was the number of medical school applicants at a minimum?
(c) In what year did the number of applicants first exceed 40,000?