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.)the number of births over a 10-year periodthe number of years it takes to increase the population by 10,000,000the number of years it takes to increase the population by 10the change in population over a 10-year periodthe number of deaths over a 10-year period

110,323.7505 or 110,324

Step-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 rate

We take the anti derivatives of b(t) and d(t),  see all work on the attached photo

angles 1 and 3 are vertical angles, meaning that they are equal to each other. to solve this you may set angle 1 and 3 equal to each other and just solve for x like

110 = 2x + 10

100 = 2x

50 = x

check:

110 = 2* 50 + 10

110 = 100 + 10

110 = 110

hope this !

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