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

Question

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

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Minh Khuê 2 days 2021-07-22T21:03:08+00:00 1 Answers 1 views 0

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    2021-07-22T21:04:58+00:00

    Answer: 7118

    Step-by-step 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

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