MATH SOLVE

4 months ago

Q:
# The birth rate of a population is b(t) = 2500 e0.021t people per year and the death rate is d(t)= 1470 e0.019t people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round to the nearest integer.)What does this area represent? (Attention! You are allowed only two submissions for this answer.)A. the number of births over a 10-year periodB. the number of years it takes to increase the population by 10,000,000C. the number of years it takes to increase the population by 10D. the change in population over a 10-year periodE. the number of deaths over a 10-year period

Accepted Solution

A:

Answer:110,323.7505 or 110,324Step-by-step explanation:We need to take the integral of b(t) - d(t) over the interval of [0, 10]. This will tell us the average population over a 10 year period. We are counting all the birth (additions to the population) and counting the deaths (subtractions to the population), so overall population is calculated by:Population = birth rate - death rateWe take the anti derivatives of b(t) and d(t), see all work on the attached photo