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Deck 7: Section 6: Applications of Integration
Full screen (f)
Question
Find Mx, My, and 
for the lamina of uniform density 
bounded by the graphs of the equations 
.
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Question
Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs of 
about the x-axis. Round your answer to two decimal places.
A) 1809.56
B) 2787.64
C) 2094.40
D) 3141.59
E) 3619.11
about the x-axis. Round your answer to two decimal places.A) 1809.56
B) 2787.64
C) 2094.40
D) 3141.59
E) 3619.11
Question
Find 
for the lamina of uniform density 
bounded by the graphs of the equations 
.
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Question
Find the volume of the solid generated by rotating the circle 
about the x-axis.
A)
B)
C)
D)
E)
about the x-axis.A)
B)
C)
D)
E)
Question
Find the center of mass of the point masses lying on the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Consider a beam of length 
feet with a fulcrum x feet from one end as shown in the figure. In order to move a 550-pound object, a person weighing 214 pounds wants to balance it on the beam. Find x (the distance between the person and the fulcrum) such that the system is equilibrium. Round your answer to two decimal places. 
A) 5.10 feet
B) 3.35 feet
C) 3.45 feet
D) 4.60 feet
E) 3.60 feet
feet with a fulcrum x feet from one end as shown in the figure. In order to move a 550-pound object, a person weighing 214 pounds wants to balance it on the beam. Find x (the distance between the person and the fulcrum) such that the system is equilibrium. Round your answer to two decimal places. A) 5.10 feet
B) 3.35 feet
C) 3.45 feet
D) 4.60 feet
E) 3.60 feet
Question
Set up and evaluate integrals for finding the moment about the y-axis for the region bounded by the graphs of the equations. (Assume 
.) 
.
A)
B)
C)
D)
E)
.) .A)
B)
C)
D)
E)
Question
Set up and evaluate integrals for finding moment about the x-axis for the region bounded by the graphs of the equations. (Assume 
.) 
A)
B)
C)
D)
E)
.) A)
B)
C)
D)
E)
Question
Find 
for the lamina of uniform density 
bounded by the graphs of the equations 
.
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Question
Find 
for the lamina of uniform density 
bounded by the graphs of the equations 
.
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Question
Find the center of mass of the point masses lying on the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the volume of the solid generated by rotating the circle 
about the y-axis.
A)
B)
C)
D)
E)
about the y-axis.A)
B)
C)
D)
E)
Question
Find 
for the lamina of uniform density 
bounded by the graphs of the equations 
.
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Question
Find the center of mass of the point masses lying on the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the center of mass of the given system of point masses. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find Mx, My, and 
for the lamina of uniform density 
bounded by the graphs of the equations 
.
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Question
Consider a beam of length 
feet with a fulcrum x feet from one end as shown in the figure. Two objects weighing 36 pounds and 108 pounds are placed at opposite ends of the beam. Find x (the distance between the fulcrum and the object weighing 36 pounds) such that the system is equilibrium. 
A) 10 feet
B) 11 feet
C) 8 feet
D) 9 feet
E) 7 feet
feet with a fulcrum x feet from one end as shown in the figure. Two objects weighing 36 pounds and 108 pounds are placed at opposite ends of the beam. Find x (the distance between the fulcrum and the object weighing 36 pounds) such that the system is equilibrium. A) 10 feet
B) 11 feet
C) 8 feet
D) 9 feet
E) 7 feet
Question
Find the center of mass of the given system of point masses. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the center of mass of the given system of point masses. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Deck 7: Section 6: Applications of Integration
1
Find Mx, My, and for the lamina of uniform density bounded by the graphs of the equations .
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
2
Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs of about the x-axis. Round your answer to two decimal places.
A) 1809.56
B) 2787.64
C) 2094.40
D) 3141.59
E) 3619.11
about the x-axis. Round your answer to two decimal places.A) 1809.56
B) 2787.64
C) 2094.40
D) 3141.59
E) 3619.11
2094.40
3
Find for the lamina of uniform density bounded by the graphs of the equations .
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
4
Find the volume of the solid generated by rotating the circle about the x-axis.
A)
B)
C)
D)
E)
about the x-axis.A)
B)
C)
D)
E)
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5
Find the center of mass of the point masses lying on the x-axis.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
6
Consider a beam of length feet with a fulcrum x feet from one end as shown in the figure. In order to move a 550-pound object, a person weighing 214 pounds wants to balance it on the beam. Find x (the distance between the person and the fulcrum) such that the system is equilibrium. Round your answer to two decimal places.
A) 5.10 feet
B) 3.35 feet
C) 3.45 feet
D) 4.60 feet
E) 3.60 feet
feet with a fulcrum x feet from one end as shown in the figure. In order to move a 550-pound object, a person weighing 214 pounds wants to balance it on the beam. Find x (the distance between the person and the fulcrum) such that the system is equilibrium. Round your answer to two decimal places. A) 5.10 feet
B) 3.35 feet
C) 3.45 feet
D) 4.60 feet
E) 3.60 feet
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Unlock for access to all 19 flashcards in this deck.
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7
Set up and evaluate integrals for finding the moment about the y-axis for the region bounded by the graphs of the equations. (Assume .) .
A)
B)
C)
D)
E)
.) .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
8
Set up and evaluate integrals for finding moment about the x-axis for the region bounded by the graphs of the equations. (Assume .)
A)
B)
C)
D)
E)
.) A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
9
Find for the lamina of uniform density bounded by the graphs of the equations .
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
10
Find for the lamina of uniform density bounded by the graphs of the equations .
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
11
Find the center of mass of the point masses lying on the x-axis.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
12
Find the volume of the solid generated by rotating the circle about the y-axis.
A)
B)
C)
D)
E)
about the y-axis.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
13
Find for the lamina of uniform density bounded by the graphs of the equations .
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
14
Find the center of mass of the point masses lying on the x-axis.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
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15
Find the center of mass of the given system of point masses.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
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16
Find Mx, My, and for the lamina of uniform density bounded by the graphs of the equations .
A)
B)
C)
D)
E)
for the lamina of uniform density bounded by the graphs of the equations .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
17
Consider a beam of length feet with a fulcrum x feet from one end as shown in the figure. Two objects weighing 36 pounds and 108 pounds are placed at opposite ends of the beam. Find x (the distance between the fulcrum and the object weighing 36 pounds) such that the system is equilibrium.
A) 10 feet
B) 11 feet
C) 8 feet
D) 9 feet
E) 7 feet
feet with a fulcrum x feet from one end as shown in the figure. Two objects weighing 36 pounds and 108 pounds are placed at opposite ends of the beam. Find x (the distance between the fulcrum and the object weighing 36 pounds) such that the system is equilibrium. A) 10 feet
B) 11 feet
C) 8 feet
D) 9 feet
E) 7 feet
Unlock Deck
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18
Find the center of mass of the given system of point masses.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Find the center of mass of the given system of point masses.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
