Measles deaths measles is still a leading cause of

Question

Question: Measles deaths measles is still a leading cause of vaccine-preventable death among children, but due to improvements in immunizations, measles deaths have dropped globally. The function

N(t) = -2.42t³ + 24.5t² - 123.3t + 506        (0 ≤ t ≤ 6)

Gives the number of measles deaths (in thousands) in subsaharan africa in year t, with t 0 corresponding to 1999.

A. How many measles deaths were there in 1999? In 2005?

B. Show that n'(t)

C. When was the number of measles deaths decreasing most rapidly? What was the rate of measles death at that instant of time?