Curbing population growth five years ago the government of

Question

Question: CURBING POPULATION GROWTH Five years ago, the government of a Pacific Island state launched an extensive propaganda campaign toward curbing the country's population growth. According to the Census Department, the population (measured in thousands of people) for the following 4 yr was

P(t) = -1t³ + 64t + 3000
          3

where t is measured in years and t = 0 corresponds to the start of the campaign. Find the rate of change of the population at the end of years 1, 2, 3, and 4. Was the plan working?