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Deck 7: Section 6: Applications of Integration
ملء الشاشة (f)
سؤال
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)
سؤال
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
سؤال
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)
سؤال
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)
سؤال
Find the center of mass of the point masses lying on the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
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
سؤال
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)
سؤال
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)
سؤال
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)
سؤال
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)
سؤال
Find the center of mass of the point masses lying on the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
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)
سؤال
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)
سؤال
Find the center of mass of the point masses lying on the x-axis. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the center of mass of the given system of point masses. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
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)
سؤال
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
سؤال
Find the center of mass of the given system of point masses. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
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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العب
ملء الشاشة (f)
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)
فتح الحزمة
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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
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
k this deck
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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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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)
فتح الحزمة
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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)
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
فتح الحزمة
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
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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)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 19 في هذه المجموعة.
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