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The birth rate of a population is b(t) = 2000e0.023t people per year and the death rate is d(t)= 1410e0.017t people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round your answer to the nearest integer.) people

User Niyaz
by
6.3k points

1 Answer

2 votes

Answer: 7118

Explanation:

Given

Birth rate is
b(t)=2000e^(0.023t)

Death rate is
d(t)=1410e^(0.017t)

Area between them is given by


\Rightarrow A=\int _0^(10)2000e^(0.023t)-1410e^(0.017t)dt\\\Rightarrow A=\int _0^(10)2000e^(0.023t)dt-\int _0^(10)1410e^(0.017t)dt\\\Rightarrow A=22486.95652 -15368.99999\\\Rightarrow A=7117.95652

Thus, the area between the curves is
7117.95652\approx 7118

User Ruggedbuteducated
by
6.1k points
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