Use increments to make the required estimate.
POPULATION GROWTH A 5-year projection of population trends suggests that t years from now, the population of a certain community will be P(t) = −t3 + 9t 2 + 48 t + 200 thousand.
a. Find the rate of change of population R(t) = P'(t) with respect to time t.
b. At what rate does the population growth rate R(t) change with respect to time?
c. Use increments to estimate how much R(t) changes during the first month of the fourth year. What is the actual change in R(t) during this time period?
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