Medical school applicants according to a study from the

Question

Question: Medical school applicants according to a study from the american medical association, the number of medical school applicants from academic year 1997-1998 (t = 0) through the academic year 2002-2003 is approximated by the function

N(t) = -0.0333t³ + 0.47t² - 3.8t + 47                 (0 ≤ t ≤ 5)

Where n(t) measured in thousands.

A. Show that the number of medical school applicants had been declining over the period in question. Hint: use the quadratic formula.

B. What was the largest number of medical school applicants in any one academic year for the period in question? In what academic year did that occur?