True, sometimes true, or never true? The area of the region between the graphs of the continuous functions y=f(x) and y=g(x) and the vertical lines x=a and x=b (a
True, sometimes true, or never true? The area of the region between the graphs of the continuous functions y=f(x) and y=g(x) and the vertical lines x=a and x=b (a
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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I need help on my homework
![True, sometimes true, or never true? The area
of the region between the graphs of the
continuous functions y=f(x) and y=g(x) and the
vertical lines x=a and x=b (a<b) is
b
S[f(x)—g(x)]dx.
a
Choose the correct answer below.
A.
The given integral is sometimes equal to the
area between y=f(x) and y=g(x). It is equal to
the area only if f(x)≥g(x) on the interval [a,b].
B.
The given integral is never equal to the area
between y=f(x) and y=g(x). The correct
integral is
b
S[f(x)−g(x)]dx.
a
C.
The given integral is always equal to the area
between y=f(x) and y=g(x), since that is the
definition of the area between two curves.
D.
The given integral is sometimes equal to the
area between y=f(x) and y=g(x). It is equal to
the area only if f(x)≤g(x) on the interval [a,b].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a8d7b81-b687-4706-b3fc-3c6e150f8e58%2F659bb367-1200-4ef7-baab-7df16e7963ee%2Fhdorg4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:True, sometimes true, or never true? The area
of the region between the graphs of the
continuous functions y=f(x) and y=g(x) and the
vertical lines x=a and x=b (a<b) is
b
S[f(x)—g(x)]dx.
a
Choose the correct answer below.
A.
The given integral is sometimes equal to the
area between y=f(x) and y=g(x). It is equal to
the area only if f(x)≥g(x) on the interval [a,b].
B.
The given integral is never equal to the area
between y=f(x) and y=g(x). The correct
integral is
b
S[f(x)−g(x)]dx.
a
C.
The given integral is always equal to the area
between y=f(x) and y=g(x), since that is the
definition of the area between two curves.
D.
The given integral is sometimes equal to the
area between y=f(x) and y=g(x). It is equal to
the area only if f(x)≤g(x) on the interval [a,b].
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