تكلم مع الذكاء الاصطناعي
Deck 7: Section 1: Applications of Integration
ملء الشاشة (f)
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)
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 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 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). 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
A) 268,492 pounds
B) 263,654 pounds
C) 216,267 pounds
D) 242,187 pounds
E) 251,865 pounds
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
A) 25.031
B) 31.075
C) 29.151
D) 30.515
E) 28.031
سؤال
The integrand of the definite integral is a difference of two functions. Sketch the graph of each function and shade the region whose area is represented by the integral 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
If the accumulation function 
is given by 
, evaluate 
A)
B)
C)
D)
E)
is given by , evaluate 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 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 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
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 area of the region bounded by the graphs of the equations. 
.
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 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
Suppose that 
and 
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
and 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
سؤال
Set up the definite integral that gives the area of the region bounded by the graph of 
and 
. 
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
سؤال
Find the area of the region bounded by equations by integrating (i) with respect to x and (ii) with respect to y. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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
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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ملء الشاشة (f)
Deck 7: Section 1: Applications of Integration
1
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)
A)
B)
C)
D)
E)
2
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
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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5
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
A) 268,492 pounds
B) 263,654 pounds
C) 216,267 pounds
D) 242,187 pounds
E) 251,865 pounds
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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
A) 25.031
B) 31.075
C) 29.151
D) 30.515
E) 28.031
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7
The integrand of the definite integral is a difference of two functions. Sketch the graph of each function and shade the region whose area is represented by the integral .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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8
If the accumulation function is given by , evaluate
A)
B)
C)
D)
E)
is given by , evaluate 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
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 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
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11
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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12
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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13
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
فتح الحزمة
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14
Suppose that and 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
and 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
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15
Set up the definite integral that gives the area of the region bounded by the graph of and .
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
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16
Find the area of the region bounded by equations by integrating (i) with respect to x and (ii) with respect to y.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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17
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
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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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