A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its population is decreasing at a rate of D(x) people per month. The rate of increase of the population as a result of births and immigration is 1(x) people per month. The variable x is the number of months since the beginning of the year. Graphs of D and I are shown in the figure. Region R₁ has area 3630, and region R₂ has area 9750. y people per month R₁ R₂ (a) Interpret the area of region R₁. D (b) Interpret the area of region R₂. X 4 5 month During the first month, the population increased by people. During the second through fourth months, the population decreased by people. (c) Calculate the change in population from the beginning of January through the end of April. people

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its population is decreasing at a
rate of D(x) people per month. The rate of increase of the population as a result of births and immigration is 1(x) people per
month. The variable x is the number of months since the beginning of the year. Graphs of D and I are shown in the figure. Region
R₁ has area 3630, and region R₂ has area 9750.
y people
per month
R₁
R₂
3
(a) Interpret the area of region R₁.
4
(b) Interpret the area of region R₂.
D
x
month
During the first month, the population increased by
people.
During the second through fourth months, the population decreased by
people.
(c) Calculate the change in population from the beginning of January through the end of April,
people
(d) Explain why the answer to part (c) is not the sum of the areas of the two regions.
Because the graphs intersect, the area of R₁ represents a(n) increase
R₂ represents a(n) decrease
in the population and the area of
in the population. The net change is the difference
Transcribed Image Text:A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its population is decreasing at a rate of D(x) people per month. The rate of increase of the population as a result of births and immigration is 1(x) people per month. The variable x is the number of months since the beginning of the year. Graphs of D and I are shown in the figure. Region R₁ has area 3630, and region R₂ has area 9750. y people per month R₁ R₂ 3 (a) Interpret the area of region R₁. 4 (b) Interpret the area of region R₂. D x month During the first month, the population increased by people. During the second through fourth months, the population decreased by people. (c) Calculate the change in population from the beginning of January through the end of April, people (d) Explain why the answer to part (c) is not the sum of the areas of the two regions. Because the graphs intersect, the area of R₁ represents a(n) increase R₂ represents a(n) decrease in the population and the area of in the population. The net change is the difference
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