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Deck 4: Section 4: Integration
Full screen (f)
Question
Determine the area of the given region. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the definite integral of the algebraic function. 
Use a graphing utility to verify your results.
A) 100
B) -30
C) 196
D) -99
E) 98
Use a graphing utility to verify your results.A) 100
B) -30
C) 196
D) -99
E) 98
Question
The volume 
in liters of air in the lungs during a five-second respiratory cycle is approximated by the model 
where 
is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.
A) 1.8776 liter
B) 2.0094 liter
C) 0.4004 liter
D) 0.8148 liter
E) 0.5220 liter
in liters of air in the lungs during a five-second respiratory cycle is approximated by the model where is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.A) 1.8776 liter
B) 2.0094 liter
C) 0.4004 liter
D) 0.8148 liter
E) 0.5220 liter
Question
Determine the area of the given region. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the average value of the function 
over the interval 
.
A) -152
B) -52
C) 148
D) 248
E) -252
over the interval .A) -152
B) -52
C) 148
D) 248
E) -252
Question
Evaluate the definite integral of the function. 
Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
Use a graphing utility to verify your results.A)
B)
C)
D)
E)
Question
Find 
given 
.
A)
B)
C)
D)
E)
given .A)
B)
C)
D)
E)
Question
Evaluate the definite integral 
. Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
. Use a graphing utility to verify your results.A)
B)
C)
D)
E)
Question
Evaluate the definite integral of a function 
. Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
. Use a graphing utility to verify your results.A)
B)
C)
D)
E)
Question
The force 
(in newtons) of a hydraulic cylinder in a press is proportional to the square of 
where 
is the distance (in meters) that the cylinder is extended in its cycle. The domain of 
is 
and 
. Find the average force exerted by the press over the interval 
. Round your answer to the nearest whole number.
A) 221 newtons
B) 110 newtons
C) 540 newtons
D) 180 newtons
E) 662 newtons
(in newtons) of a hydraulic cylinder in a press is proportional to the square of where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is and . Find the average force exerted by the press over the interval . Round your answer to the nearest whole number.A) 221 newtons
B) 110 newtons
C) 540 newtons
D) 180 newtons
E) 662 newtons
Question
Evaluate the definite integral of the algebraic function. 
Use a graphing utility to verify your results.
A) -516
B) 516
C) 618
D) 1185
E) -1974
Use a graphing utility to verify your results.A) -516
B) 516
C) 618
D) 1185
E) -1974
Question
Find 
given 
.
A)
B)
C)
D)
E)
given .A)
B)
C)
D)
E)
Question
Evaluate the definite integral of the trig function. 
Use a graphing utility to verify your results.
A) -7
B) -5
C) -6
D) -8
E) -4
Use a graphing utility to verify your results.A) -7
B) -5
C) -6
D) -8
E) -4
Question
Find the average value of 
on the interval 
.
A)
B) 35
C)
D)
E) 40
on the interval .A)
B) 35
C)
D)
E) 40
Question
Evaluate the definite integral of the algebraic function. 
Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
Use a graphing utility to verify your results.A)
B)
C)
D)
E)
Question
Find the area of the region bounded by the graphs of the equations 
. Round your answer to the nearest whole number.
A) 768
B) 96
C) 49
D) 72
E) 16
. Round your answer to the nearest whole number.A) 768
B) 96
C) 49
D) 72
E) 16
Question
The force 
(in newtons) of a hydraulic cylinder in a press is proportional to the square of 
where 
is the distance (in meters) that the cylinder is extended in its cycle. The domain of 
is 
and 
. Find 
as a function of 
.
A)
B)
C)
D)
E)
(in newtons) of a hydraulic cylinder in a press is proportional to the square of where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is and . Find as a function of .A)
B)
C)
D)
E)
Question
Evaluate the definite integral of the algebraic function. 
Use a graphing utility to verify your results.
A) 148.5
B) 12
C) 79.5
D) 159
E) 15
Use a graphing utility to verify your results.A) 148.5
B) 12
C) 79.5
D) 159
E) 15
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Full screen (f)
Deck 4: Section 4: Integration
1
Determine the area of the given region.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.
A) 100
B) -30
C) 196
D) -99
E) 98
Use a graphing utility to verify your results.A) 100
B) -30
C) 196
D) -99
E) 98
98
3
The volume in liters of air in the lungs during a five-second respiratory cycle is approximated by the model where is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.
A) 1.8776 liter
B) 2.0094 liter
C) 0.4004 liter
D) 0.8148 liter
E) 0.5220 liter
in liters of air in the lungs during a five-second respiratory cycle is approximated by the model where is the time in seconds. Approximate the average volume of air in the lungs during one cycle. Round your answer to four decimal places.A) 1.8776 liter
B) 2.0094 liter
C) 0.4004 liter
D) 0.8148 liter
E) 0.5220 liter
0.5220 liter
4
Determine the area of the given region.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Find the average value of the function over the interval .
A) -152
B) -52
C) 148
D) 248
E) -252
over the interval .A) -152
B) -52
C) 148
D) 248
E) -252
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
6
Evaluate the definite integral of the function. Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
Use a graphing utility to verify your results.A)
B)
C)
D)
E)
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7
Find given .
A)
B)
C)
D)
E)
given .A)
B)
C)
D)
E)
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8
Evaluate the definite integral . Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
. Use a graphing utility to verify your results.A)
B)
C)
D)
E)
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9
Evaluate the definite integral of a function . Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
. Use a graphing utility to verify your results.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
10
The force (in newtons) of a hydraulic cylinder in a press is proportional to the square of where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is and . Find the average force exerted by the press over the interval . Round your answer to the nearest whole number.
A) 221 newtons
B) 110 newtons
C) 540 newtons
D) 180 newtons
E) 662 newtons
(in newtons) of a hydraulic cylinder in a press is proportional to the square of where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is and . Find the average force exerted by the press over the interval . Round your answer to the nearest whole number.A) 221 newtons
B) 110 newtons
C) 540 newtons
D) 180 newtons
E) 662 newtons
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
11
Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.
A) -516
B) 516
C) 618
D) 1185
E) -1974
Use a graphing utility to verify your results.A) -516
B) 516
C) 618
D) 1185
E) -1974
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Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
12
Find given .
A)
B)
C)
D)
E)
given .A)
B)
C)
D)
E)
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Unlock for access to all 18 flashcards in this deck.
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k this deck
13
Evaluate the definite integral of the trig function. Use a graphing utility to verify your results.
A) -7
B) -5
C) -6
D) -8
E) -4
Use a graphing utility to verify your results.A) -7
B) -5
C) -6
D) -8
E) -4
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14
Find the average value of on the interval .
A)
B) 35
C)
D)
E) 40
on the interval .A)
B) 35
C)
D)
E) 40
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15
Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.
A)
B)
C)
D)
E)
Use a graphing utility to verify your results.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
16
Find the area of the region bounded by the graphs of the equations . Round your answer to the nearest whole number.
A) 768
B) 96
C) 49
D) 72
E) 16
. Round your answer to the nearest whole number.A) 768
B) 96
C) 49
D) 72
E) 16
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
17
The force (in newtons) of a hydraulic cylinder in a press is proportional to the square of where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is and . Find as a function of .
A)
B)
C)
D)
E)
(in newtons) of a hydraulic cylinder in a press is proportional to the square of where is the distance (in meters) that the cylinder is extended in its cycle. The domain of is and . Find as a function of .A)
B)
C)
D)
E)
Unlock Deck
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18
Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.
A) 148.5
B) 12
C) 79.5
D) 159
E) 15
Use a graphing utility to verify your results.A) 148.5
B) 12
C) 79.5
D) 159
E) 15
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 18 flashcards in this deck.
