تكلم مع الذكاء الاصطناعي
Deck 7: Applications of Integration
ملء الشاشة (f)
سؤال
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by 
axis.
A)
B)
C)
D)
E)
axis.A)
B)
C)
D)
E)
سؤال
Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).One cubic meter of concrete
Weighs 4320 pounds.Find the weight of the section.Round your answer to the nearest pound.
A)268,492 pounds
B)263,654 pounds
C)216,267 pounds
D)242,187 pounds
E)251,865 pounds
Weighs 4320 pounds.Find the weight of the section.Round your answer to the nearest pound.
A)268,492 pounds
B)263,654 pounds
C)216,267 pounds
D)242,187 pounds
E)251,865 pounds
سؤال
Find the area of the region bounded by the graphs of the function 
Round your answer to three decimal places.
A)0.260
B)0.289
C)0.416
D)0.139
E)0.462
Round your answer to three decimal places.A)0.260
B)0.289
C)0.416
D)0.139
E)0.462
سؤال
Suppose that 
model the revenue (in billions of dollars) for a large corporation.The model 
gives projected annual revenues from 2008 through
2015, with
corresponding to 2008, and 
gives projected revenues if there is a decrease in the
Rate of growth of corporate sales over the period.Approximate the total reduction in revenue if
Corporate sales are actually closer to the model
Round your answer to three decimal places.
A)$3.570 billion
B)$24.990 billion
C)$19.763 billion
D)$29.645 billion
E)$12.495 billion
model the revenue (in billions of dollars) for a large corporation.The model gives projected annual revenues from 2008 through2015, with
corresponding to 2008, and gives projected revenues if there is a decrease in theRate of growth of corporate sales over the period.Approximate the total reduction in revenue if
Corporate sales are actually closer to the model
Round your answer to three decimal places.A)$3.570 billion
B)$24.990 billion
C)$19.763 billion
D)$29.645 billion
E)$12.495 billion
سؤال
Find the area of the region bounded by the graphs of the algebraic functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).Find the area of the face of the
Section superimposed on the rectangular coordinate system.Round your answer to three decimal
Places.
A)25.031
B)31.075
C)29.151
D)30.515
E)28.031
Section superimposed on the rectangular coordinate system.Round your answer to three decimal
Places.
A)25.031
B)31.075
C)29.151
D)30.515
E)28.031
سؤال
Find the area of the region bounded by equations by integrating (i) with respect to 
and (ii) with respect to y. 
A)
B)
C)
D)
E)
and (ii) with respect to y. A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the graphs of the equations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the graphs of the algebraic functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Set up the definite integral that gives the area of the region bounded by the graph of 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the equations by integrating (i) with respect to x and
(ii) with respect to y.
A)
B)
C)
D)
E)
(ii) with respect to y.
A)
B)
C)
D)
E)
سؤال
The chief financial officer of a company reports that profits for the past fiscal year were 
million.The officer predicts that profits for the next 7 years will grow at a continuous
Annual rate somewhere between
and 6%.Estimate the cumulative difference in total profit over
The 7 years based on the predicted range of growth rates.Round your answer to three decimal places.
A)$445.736 billion
B)$30.221 billion
C)$7.023 billion
D)$18.710 billion
E)$57.880 billion
million.The officer predicts that profits for the next 7 years will grow at a continuousAnnual rate somewhere between
and 6%.Estimate the cumulative difference in total profit overThe 7 years based on the predicted range of growth rates.Round your answer to three decimal places.
A)$445.736 billion
B)$30.221 billion
C)$7.023 billion
D)$18.710 billion
E)$57.880 billion
سؤال
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by 
in the first quadrant about the -axis.
A)
B)
C)
D)
E)
in the first quadrant about the -axis.A)
B)
C)
D)
E)
سؤال
The surface of a machine part is the region between the graphs of 
and 
as shown in the figure.Find k if the parabola is tangent to the graph of 
.Round your answer to three decimal places. 
A)3.125
B)0.160
C)0.080
D)0.320
E)6.250
and as shown in the figure.Find k if the parabola is tangent to the graph of .Round your answer to three decimal places. A)3.125
B)0.160
C)0.080
D)0.320
E)6.250
سؤال
Find the area of the region bounded by the graphs of the function 
Round your answer to three decimal places.
A)20.723
B)11.182
C)6.238
D)10.362
E)22.364
Round your answer to three decimal places.A)20.723
B)11.182
C)6.238
D)10.362
E)22.364
سؤال
If the accumulation function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the graphs of the algebraic functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the graphs of the equations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by the graphs of the algebraic functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The surface of a machine part is the region between the graphs of 
and 
as shown in the figure.Find the area of the surface of the machine part.Round your answer to five decimal places. 
A)1.66667
B)0.41667
C)0.01333
D)33.33333
E)8.33333
and as shown in the figure.Find the area of the surface of the machine part.Round your answer to five decimal places. A)1.66667
B)0.41667
C)0.01333
D)33.33333
E)8.33333
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the 
axis. 
A)
B)
C)
D)
E)
axis. A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the 
axis. 
A)
B)
C)
D)
E)
axis. A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations 
axis.Round your
Answer to four decimal places.
A)5.3098
B)12.2824
C)20.6444
D)15.9387
E)37.9232
axis.Round yourAnswer to four decimal places.
A)5.3098
B)12.2824
C)20.6444
D)15.9387
E)37.9232
سؤال
A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of 
and the 
about the x-axis, where x and y are measured in
Meters.Find the volume of the tank.Round your answer to two decimal places.
A)
B)
C)
D)
E)
and the about the x-axis, where x and y are measured inMeters.Find the volume of the tank.Round your answer to two decimal places.
A)
B)
C)
D)
E)
سؤال
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by 
about the -axis.
A)
B)
C)
D)
E)
about the -axis.A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations 
about the line 
A)
B)
C)
D)
E)
about the line A)
B)
C)
D)
E)
سؤال
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations 
about the line 
A)
B)
C)
D)
E)
about the line A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the 
axis.Verify your results using the integration capabilities of a
Graphing utility.
A)
B)
C)
D)
E)
axis.Verify your results using the integration capabilities of aGraphing utility.
A)
B)
C)
D)
E)
سؤال
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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ملء الشاشة (f)
Deck 7: Applications of Integration
1
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by axis.
A)
B)
C)
D)
E)
axis.A)
B)
C)
D)
E)
2
Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).One cubic meter of concrete
Weighs 4320 pounds.Find the weight of the section.Round your answer to the nearest pound.
A)268,492 pounds
B)263,654 pounds
C)216,267 pounds
D)242,187 pounds
E)251,865 pounds
Weighs 4320 pounds.Find the weight of the section.Round your answer to the nearest pound.
A)268,492 pounds
B)263,654 pounds
C)216,267 pounds
D)242,187 pounds
E)251,865 pounds
242,187 pounds
3
Find the area of the region bounded by the graphs of the function Round your answer to three decimal places.
A)0.260
B)0.289
C)0.416
D)0.139
E)0.462
Round your answer to three decimal places.A)0.260
B)0.289
C)0.416
D)0.139
E)0.462
0.260
4
Suppose that model the revenue (in billions of dollars) for a large corporation.The model gives projected annual revenues from 2008 through
2015, with corresponding to 2008, and gives projected revenues if there is a decrease in the
Rate of growth of corporate sales over the period.Approximate the total reduction in revenue if
Corporate sales are actually closer to the model Round your answer to three decimal places.
A)$3.570 billion
B)$24.990 billion
C)$19.763 billion
D)$29.645 billion
E)$12.495 billion
model the revenue (in billions of dollars) for a large corporation.The model gives projected annual revenues from 2008 through2015, with
corresponding to 2008, and gives projected revenues if there is a decrease in theRate of growth of corporate sales over the period.Approximate the total reduction in revenue if
Corporate sales are actually closer to the model
Round your answer to three decimal places.A)$3.570 billion
B)$24.990 billion
C)$19.763 billion
D)$29.645 billion
E)$12.495 billion
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5
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).Find the area of the face of the
Section superimposed on the rectangular coordinate system.Round your answer to three decimal
Places.
A)25.031
B)31.075
C)29.151
D)30.515
E)28.031
Section superimposed on the rectangular coordinate system.Round your answer to three decimal
Places.
A)25.031
B)31.075
C)29.151
D)30.515
E)28.031
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7
Find the area of the region bounded by equations by integrating (i) with respect to and (ii) with respect to y.
A)
B)
C)
D)
E)
and (ii) with respect to y. A)
B)
C)
D)
E)
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8
Find the area of the region bounded by the graphs of the equations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Set up the definite integral that gives the area of the region bounded by the graph of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Find the area of the region bounded by the equations by integrating (i) with respect to x and
(ii) with respect to y.
A)
B)
C)
D)
E)
(ii) with respect to y.
A)
B)
C)
D)
E)
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12
The chief financial officer of a company reports that profits for the past fiscal year were million.The officer predicts that profits for the next 7 years will grow at a continuous
Annual rate somewhere between and 6%.Estimate the cumulative difference in total profit over
The 7 years based on the predicted range of growth rates.Round your answer to three decimal places.
A)$445.736 billion
B)$30.221 billion
C)$7.023 billion
D)$18.710 billion
E)$57.880 billion
million.The officer predicts that profits for the next 7 years will grow at a continuousAnnual rate somewhere between
and 6%.Estimate the cumulative difference in total profit overThe 7 years based on the predicted range of growth rates.Round your answer to three decimal places.
A)$445.736 billion
B)$30.221 billion
C)$7.023 billion
D)$18.710 billion
E)$57.880 billion
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13
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by in the first quadrant about the -axis.
A)
B)
C)
D)
E)
in the first quadrant about the -axis.A)
B)
C)
D)
E)
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14
The surface of a machine part is the region between the graphs of and as shown in the figure.Find k if the parabola is tangent to the graph of .Round your answer to three decimal places.
A)3.125
B)0.160
C)0.080
D)0.320
E)6.250
and as shown in the figure.Find k if the parabola is tangent to the graph of .Round your answer to three decimal places. A)3.125
B)0.160
C)0.080
D)0.320
E)6.250
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15
Find the area of the region bounded by the graphs of the function Round your answer to three decimal places.
A)20.723
B)11.182
C)6.238
D)10.362
E)22.364
Round your answer to three decimal places.A)20.723
B)11.182
C)6.238
D)10.362
E)22.364
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16
If the accumulation function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Find the area of the region bounded by the graphs of the equations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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20
The surface of a machine part is the region between the graphs of and as shown in the figure.Find the area of the surface of the machine part.Round your answer to five decimal places.
A)1.66667
B)0.41667
C)0.01333
D)33.33333
E)8.33333
and as shown in the figure.Find the area of the surface of the machine part.Round your answer to five decimal places. A)1.66667
B)0.41667
C)0.01333
D)33.33333
E)8.33333
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21
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the axis.
A)
B)
C)
D)
E)
axis. A)
B)
C)
D)
E)
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22
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the axis.
A)
B)
C)
D)
E)
axis. A)
B)
C)
D)
E)
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24
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations axis.Round your
Answer to four decimal places.
A)5.3098
B)12.2824
C)20.6444
D)15.9387
E)37.9232
axis.Round yourAnswer to four decimal places.
A)5.3098
B)12.2824
C)20.6444
D)15.9387
E)37.9232
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26
A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of and the about the x-axis, where x and y are measured in
Meters.Find the volume of the tank.Round your answer to two decimal places.
A)
B)
C)
D)
E)
and the about the x-axis, where x and y are measured inMeters.Find the volume of the tank.Round your answer to two decimal places.
A)
B)
C)
D)
E)
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27
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by about the -axis.
A)
B)
C)
D)
E)
about the -axis.A)
B)
C)
D)
E)
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28
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
A)
B)
C)
D)
E)
about the line A)
B)
C)
D)
E)
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29
A tank on a water tower is a sphere of radius 65 feet.Determine the depth of the water when the tank is filled to one-fourth of its total capacity.(Note: Use the zero or root feature of a
Graphing utility after evaluating the definite integral.) Round your answer to two decimal places.
A)20.66 feet
B)54.63 feet
C)34.67 feet
D)42.43 feet
E)10.36 feet
Graphing utility after evaluating the definite integral.) Round your answer to two decimal places.
A)20.66 feet
B)54.63 feet
C)34.67 feet
D)42.43 feet
E)10.36 feet
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30
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
31
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
فتح الحزمة
k this deck
32
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
33
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line
A)
B)
C)
D)
E)
about the line A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
34
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the axis.Verify your results using the integration capabilities of a
Graphing utility.
A)
B)
C)
D)
E)
axis.Verify your results using the integration capabilities of aGraphing utility.
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
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k this deck
35
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 35 في هذه المجموعة.
