Crime rates the number of major crimes committed in

Question

Question: CRIME RATES The number of major crimes committed in Bronxville between 2000 and 2007 is approximated by the function

N(t) = -0.1t³ + 1.5t² + 100           (0 ≤ t ≤ 7)

Where N(t) denotes the number of crimes committed in year t, with t = 0 corresponding to the beginning of 2000. Enraged by the dramatic increase in the crime rate, Bronxville's citizens, with the help of the local police, organized "Neighborhood Crime Watch" groups in early 2004 to combat this menace .

a. Verify that the crime rate was increasing from the beginning of 2000 to the beginning of 2007. Hint: Compute N'(0), N'(1), . . . , N'(7).

b. Show that the Neighborhood Crime Watch program was working by computing N"(4), N"(5), N"(6), and N"(7).