For a certain region in the world, the age distribution of the population is approximately modeled (in millions) by the function f(x) where x varies from 0 to 9 decades. (a) Evaluate the integral over the interval [0, 8]. Round to the nearest integer as needed. = 40.3 +3.3x - 0.895x² (b) What does the value of this integral represent? O The total number of people (in millions) under the age of 8 who currently live in the region The increase in the number of people (in millions) aged 0 to 80 who currently live in the region O The number of people (in millions) aged 0 to 80 who have ever lived in this region O The total number of people (in millions) aged 0 to 80 who currently live in the region

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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For a certain region in the world, the age distribution of the population is approximately modeled (in
millions) by the function
f(x) = 40.3+3.3x - 0.895x²
where a varies from 0 to 9 decades.
(a) Evaluate the integral over the interval [0, 8]. Round to the nearest integer as needed.
(b) What does the value of this integral represent?
The total number of people (in millions) under the age of 8 who currently live in the region
The increase in the number of people (in millions) aged 0 to 80 who currently live in the region
The number of people (in millions) aged 0 to 80 who have ever lived in this region
The total number of people (in millions) aged 0 to 80 who currently live in the region
Transcribed Image Text:For a certain region in the world, the age distribution of the population is approximately modeled (in millions) by the function f(x) = 40.3+3.3x - 0.895x² where a varies from 0 to 9 decades. (a) Evaluate the integral over the interval [0, 8]. Round to the nearest integer as needed. (b) What does the value of this integral represent? The total number of people (in millions) under the age of 8 who currently live in the region The increase in the number of people (in millions) aged 0 to 80 who currently live in the region The number of people (in millions) aged 0 to 80 who have ever lived in this region The total number of people (in millions) aged 0 to 80 who currently live in the region
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