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# calc help?

The birth rate of a population is

b(t) = 2300e0.021t people per year and the death rate is d(t)= 1490e0.015t

people per year, find the area between these curves for 0 ≤ t ≤ 10. (Round your answer to the nearest integer.)

### 1 Answer

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- MichaelLv 72 months ago
Area under b(t) = births

∫ 2300e^(.021t) = (2300/.021)e^(.021t)

∫₀¹⁰ 2300e^(.021t) = (2300/.021)e^(.021 * 10) - (2300/.021)e^(.021 * 0)

∫₀¹⁰ 2300e^(.021t) = 135,117 - 109,524

∫₀¹⁰ 2300e^(.021t) = 25,593

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Area under d(t) = deaths

∫ 1490e^(.015t) = (1490/.015)e^(.015t)

∫₀¹⁰ 1490e^(.015t) = (1490/.015)e^(.015 * 10) - (1490/.015)e^(.015 * 0)

∫₀¹⁰ 1490e^(.015t) = 115,409 - 99,333

∫₀¹⁰ 1490e^(.015t) = 16,076

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Area between curves

births - deaths

a = 25,593 - 16,076

a = 9,517 <––––––

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