2. Suppose that the population of China (in billions of people) can be approximated by the function, P(t) = 1.15(1.014)^t, where t is the number of years since the start of 1993. a. According to the model, what was the total change in the population of China between January 1, 1993 and January 1, 2000? b. What will be the average rate of change of the population over this time period? c. Is this average rate of change greater or less than the instantaneous rate of change of the population on January 1, 2000? expression involving limits that, if evaluated, would give the exact instantaneous rate of change of the population on today's date.
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Given: Population function, P(t) = 115(1.014)^t P(0) = 115(1.014)^0 = 115 P(7) = 115(1.014)^7 ≈ 126.75 Total change in population, dP = P(7) - P(0) ≈ 126.75 - 115 ≈ 11.75 billion people Show more…
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