Sickouts in a sickout by pilots of american airlines in

Question

Question: SICKOUTS In a sickout by pilots of American Airlines in February 1999, the number of canceled flights from February 6 (t = 0) through February 14 (t = 8) is approximated by the function

N(t) = 1.2576t⁴ - 26.357t³ + 127.98t² + 82.3t + 43            (0 ≤ t ≤ 8)

Where t is measured in days.The sickout ended after the union was threatened with millions of dollars of fines.

a. Show that the number of canceled flights was increasing at the fastest rate on February 8.

b. Estimate the maximum number of canceled flights in a day during the sickout.