?If the birth rate of a population is b(t) = 2200e0.024t people per year and the death

Chapter 5, Problem 58

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QUESTION:

If the birth rate of a population is b(t) = 2200e0.024t people per year and the death rate is d(t) = 1460e0.018t people per year, find the area between these curves for 0 ⩽ t ⩽ 10. What does this area represent?

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QUESTION:

If the birth rate of a population is b(t) = 2200e0.024t people per year and the death rate is d(t) = 1460e0.018t people per year, find the area between these curves for 0 ⩽ t ⩽ 10. What does this area represent?

ANSWER:

Step 1 of 3

The birth rate of the population (in people per year) is :

The death rate is :

As  and  are increasing functions of  for , we see from (1) and (2) that .

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