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Deck 5: Integration and Its Applications
Full screen (f)
Question
Find the cost function for the marginal cost 
and fixed cost of $2,800 (for x = 0).
A)
B)
C)
D)
E)
and fixed cost of $2,800 (for x = 0). A)
B)
C)
D)
E)
Question
Find the particular solution that satisfies the differential equation 
and initial condition 
A) 
B)
C)
D)
E)
and initial condition A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral 
and check your result by differentiation.
A)
B)
C)
D)
E)
and check your result by differentiation. A)
B)
C)
D)
E)
Question
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative. 
A) 
1:
2:
B) 
1:
2:
C) 
1: 
2:
D) 
1: 
2:
E) 
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
Question
Use algebra to rewrite the integrand; then integrate and simplify. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral 
and check your result by differentiation.
A)
B)
C)
D)
E)
and check your result by differentiation. A)
B)
C)
D)
E)
Question
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative. 
A) 
1:
2:
B) 
1:
2:
C) 
1: 
2:
D) 
1: 
2:
E) 
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
Question
Find the indefinite integral and check the result by differentiation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative. 
A) 
1:
2:
B) 
1:
2:
C) 
1: 
2:
D) 
1: 
2:
E) 
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
Question
An evergreen nursery sells a certain shrub after 8 years.The growth rate of the shrub is given by 
,where t is the time in years and h is the height in centimeters.The seedlings are 18 centimeters tall when planted (t = 0).How tall are the shrubs when they are sold?
A) 72 centimeters
B) 67 centimeters
C) 78 centimeters
D) 162 centimeters
E) 274 centimeters
,where t is the time in years and h is the height in centimeters.The seedlings are 18 centimeters tall when planted (t = 0).How tall are the shrubs when they are sold? A) 72 centimeters
B) 67 centimeters
C) 78 centimeters
D) 162 centimeters
E) 274 centimeters
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral and check the result by differentiation. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative. 
A) 
1:
2:
B) 
1:
2:
C) 
1: 
2:
D) 
1: 
2:
E) 
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
Question
Identify u and 
for the integral 
A)
and 
B)
and 
C)
and 
D)
and 
E)
and 
for the integral A)
and B)
and C)
and D)
and E)
and Question
Find a function that satisfies the conditions 
, 
, 
A)
B)
C)
D)
E)
, , A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use formal substitution to find the indefinite integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the supply function 
that satisfies 
and the initial condition 
when 
A)
B)
C)
D)
E)
that satisfies and the initial condition when A)
B)
C)
D)
E)
Question
The marginal cost of a product is modeled by 
,when x = 8,C = 9.Find the cost function.
A)
B)
C)
D)
E)
,when x = 8,C = 9.Find the cost function. A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the equation of the function f whose graph passes through the point 
and whose derivative is 
A)
B)
C)
D)
E)
and whose derivative is A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Identify u and 
for the integral 
A)
and 
B)
and 
C)
and 
D)
and 
E)
and 
for the integral A)
and B)
and C)
and D)
and E)
and Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the Log Rule to find the indefinite integral for 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the indefinite integral of the following function and check the result by differentiation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the integral 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the area of the region bounded by the graphs. 
1) 
2) 
A)
B)
C)
D)
E)
1) 2) A)
B)
C)
D)
E)
Question
Evaluate the definite integral of the algebraic function. 
Use a graphing utility to verify your results.Round your answer to 4 decimal places.
A) 4.2422
B) 5.4526
C) -4.2422
D) 1.0439
E) 0.7140
Use a graphing utility to verify your results.Round your answer to 4 decimal places.
A) 4.2422
B) 5.4526
C) -4.2422
D) 1.0439
E) 0.7140
Question
Find the area of the region bounded by the graphs. 
1) 
2) 
A)
B)
C)
D)
E)
1) 2) A)
B)
C)
D)
E)
Question
Evaluate the definite integral of the algebraic function. 
Use a graphing utility to verify your results.
A) 825
B) 33
C) -33
D) 27
E) -825
Use a graphing utility to verify your results.
A) 825
B) 33
C) -33
D) 27
E) -825
Question
The rate of depreciation of a building is given by 
dollars per year, 
Use the definite integral to find the total depreciation over the first 10 years.
A) $260,000
B) $26,000
C) $130,000
D) $13,487
E) $520,000
dollars per year, Use the definite integral to find the total depreciation over the first 10 years. A) $260,000
B) $26,000
C) $130,000
D) $13,487
E) $520,000
Question
Find the average value of the function over the given interval. 
on 
A)
B)
C)
D) 25
E)
on A)
B)
C)
D) 25
E)
Question
Find the area between the curve 
and the x-axis from 
to 
A)
B)
C)
D)
E)
and the x-axis from to A)
B)
C)
D)
E)
Question
Find the equation of the function whose derivative is 
and whose graph passes through the point 
A)
B)
C)
D)
E)
and whose graph passes through the point A)
B)
C)
D)
E)
Question
Use the values 
and 
to evaluate the definite integral 
A) 79
B) -83
C) 0
D) 18
E) -74
and to evaluate the definite integral A) 79
B) -83
C) 0
D) 18
E) -74
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Use any basic integration formula or formulas to find the indefinite integral 
A)
B)
C)
D) 
E)
A)
B)
C)
D)
E)
Question
Determine the graph whose area (the shaded region)is represented by the integral. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the indefinite integral. 
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. 
A) -20
B) 100
C) -100
D) 20
E) 7
A) -20
B) 100
C) -100
D) 20
E) 7
Question
Find the indefinite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the average value of the function over the given interval. 
on 
A) -31
B) -93
C) -30.2
D) -29.8
E) 42.6
on A) -31
B) -93
C) -30.2
D) -29.8
E) 42.6
Question
Find the indefinite integral. 
A)
B)
C)
D) integral does not exist
E) none of the above
A)
B)
C)
D) integral does not exist
E) none of the above
Question
Evaluate the definite integral 
A)
B) 
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine the area of the given region. 
A)
B)
C)
D)
E) None of the above
A)
B)
C)
D)
E) None of the above
Question
Evaluate the following definite integral. 
Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Question
Use the Midpoint Rule with 
to approximate the area of the region bounded by the graph of the function and the x-axis over the interval.Sketch the region. 
A) The approximate area is: ≈ 33.57
B) The approximate area is: ≈ 39.05
C) The approximate area is: ≈ 34.25
D) The approximate area is: ≈ 26.37
E) The approximate area is: ≈ 30.14
to approximate the area of the region bounded by the graph of the function and the x-axis over the interval.Sketch the region. A) The approximate area is: ≈ 33.57
B) The approximate area is: ≈ 39.05
C) The approximate area is: ≈ 34.25
D) The approximate area is: ≈ 26.37
E) The approximate area is: ≈ 30.14
Question
The integrand of the following definite integral is a difference of two functions. 
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A) 
1)
2)
B) 
1)
2)
C) 
1)
2)
D) 
1)
2)
E) 
1)
2)
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Question
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of 
and the x-axis over the interval 
Round your answer to 4 decimal places.
A) 2.8958
B) 3.1244
C) 4.0389
D) 3.9246
E) 3.8103
and the x-axis over the interval Round your answer to 4 decimal places. A) 2.8958
B) 3.1244
C) 4.0389
D) 3.9246
E) 3.8103
Question
Set up the definite integral that gives the area of the region bounded by the graphs. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The integrand of the following definite integral is a difference of two functions. 
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A) 
1)
2)
B) 
1)
2)
C) 
1)
2)
D) 
1)
2)
E) 
1)
2)
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Question
Set up the definite integral that gives the area of the region bounded by the graphs. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The revenue from a manufacturing process (in millions of dollars per year)is projected to follow the model 
for 10 years.Over the same period of time,the cost (in millions of dollars per year)is projected to follow the model 
,where t is the time (in years).Approximate the profit over the 10-year period,beginning with t = 0.Round your answer to two decimal places.
A) $3,236.83 million
B) $3,293.50 million
C) $3,203.50 million
D) $3,235.67 million
E) $3,295.67 million
for 10 years.Over the same period of time,the cost (in millions of dollars per year)is projected to follow the model ,where t is the time (in years).Approximate the profit over the 10-year period,beginning with t = 0.Round your answer to two decimal places. A) $3,236.83 million
B) $3,293.50 million
C) $3,203.50 million
D) $3,235.67 million
E) $3,295.67 million
Question
Set up the definite integral that gives the area of the region bounded by the graphs. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the area of the region bounded by the graphs. 
1)
2) 
A)
B)
C)
D)
E)
1)
2) A)
B)
C)
D)
E)
Question
The demand function for a product is 
,where p is the number of dollars and x is the number of units.If the equilibrium price is $20,what is the consumer's surplus?
A) $1,130
B) $400
C) $1,190
D) $745
E) $485
,where p is the number of dollars and x is the number of units.If the equilibrium price is $20,what is the consumer's surplus? A) $1,130
B) $400
C) $1,190
D) $745
E) $485
Question
Use the Midpoint Rule with n = 4 to approximate the area of the following region. 
A) 3
B) 8
C) 2
D) 1
E) 6
A) 3
B) 8
C) 2
D) 1
E) 6
Question
Use the Midpoint Rule with n = 4 to approximate the area of the following region.Round your answer to 3 decimal places. 
A) 1.156
B) 1.324
C) 1.575
D) 1.275
E) 1.876
A) 1.156
B) 1.324
C) 1.575
D) 1.275
E) 1.876
Question
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of 
and the x-axis over the interval 
Round your answer to 4 decimal places.
A) 7.3013
B) 6.0475
C) 6.4900
D) 7.3750
E) 7.8913
and the x-axis over the interval Round your answer to 4 decimal places. A) 7.3013
B) 6.0475
C) 6.4900
D) 7.3750
E) 7.8913
Question
Find the area of the region bounded by the graphs of the algebraic functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the area of the region bounded by the graphs. 
1) 
2) 
A)
B)
C)
D)
E)
1) 2) A)
B)
C)
D)
E)
Question
Use the Midpoint Rule with n = 4 to approximate the area of the following region.Round your answer to 3 decimal places. 
A) 0.556
B) 0.436
C) 0.673
D) 0.268
E) 0.883
A) 0.556
B) 0.436
C) 0.673
D) 0.268
E) 0.883
Question
Set up the definite integral that gives the area of the region bounded by the graphs. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Two models, 
and 
,are given for revenue (in billions of dollars per year)for a large corporation.Both models are estimates of revenues for 2007 through 2011,with t = 7 corresponding to 2007.Which model is projecting the greater revenue? How much more total revenue does that model project over the five-year period?
A) The model
projects greater revenue than 
$16.56 billion
B) The model
projects greater revenue than 
$14.40 billion
C) The model
projects greater revenue than 
$18.00 billion
D) The model
projects greater revenue than 
$17.10 billion
E) The model
projects greater revenue than 
$16.74 billion
and ,are given for revenue (in billions of dollars per year)for a large corporation.Both models are estimates of revenues for 2007 through 2011,with t = 7 corresponding to 2007.Which model is projecting the greater revenue? How much more total revenue does that model project over the five-year period? A) The model
projects greater revenue than $16.56 billionB) The model
projects greater revenue than $14.40 billionC) The model
projects greater revenue than $18.00 billionD) The model
projects greater revenue than $17.10 billionE) The model
projects greater revenue than $16.74 billion Question
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The integrand of the following definite integral is a difference of two functions. 
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A) 
1)
2)
B) 
1)
2)
C) 
1)
2)
D) 
1)
2)
E) 
1)
2)
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
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Full screen (f)
Deck 5: Integration and Its Applications
1
Find the cost function for the marginal cost and fixed cost of $2,800 (for x = 0).
A)
B)
C)
D)
E)
and fixed cost of $2,800 (for x = 0). A)
B)
C)
D)
E)
2
Find the particular solution that satisfies the differential equation and initial condition
A)
B)
C)
D)
E)
and initial condition A)
B)
C)
D)
E)
3
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
A ball is thrown vertically upwards from a height of 6 ft with an initial velocity of 40 ft per second.
How high will the ball go?
A) 29.03 ft
B) 29.34 ft
C) 30.89 ft
D) 25.02 ft
E) 32.12 ft
How high will the ball go?
A) 29.03 ft
B) 29.34 ft
C) 30.89 ft
D) 25.02 ft
E) 32.12 ft
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5
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Find the indefinite integral and check your result by differentiation.
A)
B)
C)
D)
E)
and check your result by differentiation. A)
B)
C)
D)
E)
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7
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative.
A)
1:
2:
B)
1:
2:
C) 1:
2:
D) 1:
2:
E)
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
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8
Use algebra to rewrite the integrand; then integrate and simplify.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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9
Find the indefinite integral and check your result by differentiation.
A)
B)
C)
D)
E)
and check your result by differentiation. A)
B)
C)
D)
E)
Unlock Deck
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10
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative.
A)
1:
2:
B)
1:
2:
C) 1:
2:
D) 1:
2:
E)
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
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11
Find the indefinite integral and check the result by differentiation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative.
A)
1:
2:
B)
1:
2:
C) 1:
2:
D) 1:
2:
E)
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
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13
An evergreen nursery sells a certain shrub after 8 years.The growth rate of the shrub is given by ,where t is the time in years and h is the height in centimeters.The seedlings are 18 centimeters tall when planted (t = 0).How tall are the shrubs when they are sold?
A) 72 centimeters
B) 67 centimeters
C) 78 centimeters
D) 162 centimeters
E) 274 centimeters
,where t is the time in years and h is the height in centimeters.The seedlings are 18 centimeters tall when planted (t = 0).How tall are the shrubs when they are sold? A) 72 centimeters
B) 67 centimeters
C) 78 centimeters
D) 162 centimeters
E) 274 centimeters
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k this deck
14
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
15
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
16
Find the indefinite integral and check the result by differentiation.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
17
The graph of the derivative of a function is given below.Sketch the graphs of two functions that have the given derivative.
A)
1:
2:
B)
1:
2:
C) 1:
2:
D) 1:
2:
E)
1:
2:
A)
1:
2:
B)
1:
2:
C)
1: 2:
D)
1: 2:
E)
1:
2:
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Unlock for access to all 88 flashcards in this deck.
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k this deck
18
Identify u and for the integral
A) and
B) and
C) and
D) and
E) and
for the integral A)
and B)
and C)
and D)
and E)
and Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
19
Find a function that satisfies the conditions , ,
A)
B)
C)
D)
E)
, , A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
20
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
21
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
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Unlock Deck
k this deck
22
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
23
Use formal substitution to find the indefinite integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
24
Find the supply function that satisfies and the initial condition when
A)
B)
C)
D)
E)
that satisfies and the initial condition when A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
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k this deck
25
The marginal cost of a product is modeled by ,when x = 8,C = 9.Find the cost function.
A)
B)
C)
D)
E)
,when x = 8,C = 9.Find the cost function. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
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k this deck
26
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
27
Find the equation of the function f whose graph passes through the point and whose derivative is
A)
B)
C)
D)
E)
and whose derivative is A)
B)
C)
D)
E)
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Unlock Deck
k this deck
28
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
29
Identify u and for the integral
A) and
B) and
C) and
D) and
E) and
for the integral A)
and B)
and C)
and D)
and E)
and Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
30
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
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k this deck
31
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
32
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
33
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
34
Use the Log Rule to find the indefinite integral for
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
35
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
36
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
37
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
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k this deck
38
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
39
Find the indefinite integral of the following function and check the result by differentiation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
40
Evaluate the integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
41
Find the area of the region bounded by the graphs. 1) 2)
A)
B)
C)
D)
E)
1) 2) A)
B)
C)
D)
E)
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k this deck
42
Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.Round your answer to 4 decimal places.
A) 4.2422
B) 5.4526
C) -4.2422
D) 1.0439
E) 0.7140
Use a graphing utility to verify your results.Round your answer to 4 decimal places.
A) 4.2422
B) 5.4526
C) -4.2422
D) 1.0439
E) 0.7140
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Unlock for access to all 88 flashcards in this deck.
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k this deck
43
Find the area of the region bounded by the graphs. 1) 2)
A)
B)
C)
D)
E)
1) 2) A)
B)
C)
D)
E)
Unlock Deck
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k this deck
44
Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.
A) 825
B) 33
C) -33
D) 27
E) -825
Use a graphing utility to verify your results.
A) 825
B) 33
C) -33
D) 27
E) -825
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k this deck
45
The rate of depreciation of a building is given by dollars per year, Use the definite integral to find the total depreciation over the first 10 years.
A) $260,000
B) $26,000
C) $130,000
D) $13,487
E) $520,000
dollars per year, Use the definite integral to find the total depreciation over the first 10 years. A) $260,000
B) $26,000
C) $130,000
D) $13,487
E) $520,000
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k this deck
46
Find the average value of the function over the given interval. on
A)
B)
C)
D) 25
E)
on A)
B)
C)
D) 25
E)
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k this deck
47
Find the area between the curve and the x-axis from to
A)
B)
C)
D)
E)
and the x-axis from to A)
B)
C)
D)
E)
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k this deck
48
Find the equation of the function whose derivative is and whose graph passes through the point
A)
B)
C)
D)
E)
and whose graph passes through the point A)
B)
C)
D)
E)
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k this deck
49
Use the values and to evaluate the definite integral
A) 79
B) -83
C) 0
D) 18
E) -74
and to evaluate the definite integral A) 79
B) -83
C) 0
D) 18
E) -74
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Unlock Deck
k this deck
50
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
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k this deck
51
Use any basic integration formula or formulas to find the indefinite integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
52
Determine the graph whose area (the shaded region)is represented by the integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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53
Find the indefinite integral.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
54
Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.
A) -20
B) 100
C) -100
D) 20
E) 7
A) -20
B) 100
C) -100
D) 20
E) 7
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k this deck
55
Find the indefinite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
56
Find the average value of the function over the given interval. on
A) -31
B) -93
C) -30.2
D) -29.8
E) 42.6
on A) -31
B) -93
C) -30.2
D) -29.8
E) 42.6
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Unlock Deck
k this deck
57
Find the indefinite integral.
A)
B)
C)
D) integral does not exist
E) none of the above
A)
B)
C)
D) integral does not exist
E) none of the above
Unlock Deck
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k this deck
58
Evaluate the definite integral
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
59
Determine the area of the given region.
A)
B)
C)
D)
E) None of the above
A)
B)
C)
D)
E) None of the above
Unlock Deck
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k this deck
60
Evaluate the following definite integral.
Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Use a graphing utility to check your answer.
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
61
Use the Midpoint Rule with to approximate the area of the region bounded by the graph of the function and the x-axis over the interval.Sketch the region.
A) The approximate area is: ≈ 33.57
B) The approximate area is: ≈ 39.05
C) The approximate area is: ≈ 34.25
D) The approximate area is: ≈ 26.37
E) The approximate area is: ≈ 30.14
to approximate the area of the region bounded by the graph of the function and the x-axis over the interval.Sketch the region. A) The approximate area is: ≈ 33.57
B) The approximate area is: ≈ 39.05
C) The approximate area is: ≈ 34.25
D) The approximate area is: ≈ 26.37
E) The approximate area is: ≈ 30.14
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k this deck
62
The integrand of the following definite integral is a difference of two functions.
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
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63
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of and the x-axis over the interval Round your answer to 4 decimal places.
A) 2.8958
B) 3.1244
C) 4.0389
D) 3.9246
E) 3.8103
and the x-axis over the interval Round your answer to 4 decimal places. A) 2.8958
B) 3.1244
C) 4.0389
D) 3.9246
E) 3.8103
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k this deck
64
Set up the definite integral that gives the area of the region bounded by the graphs.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
65
The integrand of the following definite integral is a difference of two functions.
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Unlock Deck
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k this deck
66
Set up the definite integral that gives the area of the region bounded by the graphs.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
67
The revenue from a manufacturing process (in millions of dollars per year)is projected to follow the model for 10 years.Over the same period of time,the cost (in millions of dollars per year)is projected to follow the model ,where t is the time (in years).Approximate the profit over the 10-year period,beginning with t = 0.Round your answer to two decimal places.
A) $3,236.83 million
B) $3,293.50 million
C) $3,203.50 million
D) $3,235.67 million
E) $3,295.67 million
for 10 years.Over the same period of time,the cost (in millions of dollars per year)is projected to follow the model ,where t is the time (in years).Approximate the profit over the 10-year period,beginning with t = 0.Round your answer to two decimal places. A) $3,236.83 million
B) $3,293.50 million
C) $3,203.50 million
D) $3,235.67 million
E) $3,295.67 million
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k this deck
68
Set up the definite integral that gives the area of the region bounded by the graphs.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
69
Find the area of the region bounded by the graphs.
1) 2)
A)
B)
C)
D)
E)
1)
2) A)
B)
C)
D)
E)
Unlock Deck
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k this deck
70
The demand function for a product is ,where p is the number of dollars and x is the number of units.If the equilibrium price is $20,what is the consumer's surplus?
A) $1,130
B) $400
C) $1,190
D) $745
E) $485
,where p is the number of dollars and x is the number of units.If the equilibrium price is $20,what is the consumer's surplus? A) $1,130
B) $400
C) $1,190
D) $745
E) $485
Unlock Deck
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k this deck
71
Use the Midpoint Rule with n = 4 to approximate the area of the following region.
A) 3
B) 8
C) 2
D) 1
E) 6
A) 3
B) 8
C) 2
D) 1
E) 6
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k this deck
72
Use the Midpoint Rule with n = 4 to approximate the area of the following region.Round your answer to 3 decimal places.
A) 1.156
B) 1.324
C) 1.575
D) 1.275
E) 1.876
A) 1.156
B) 1.324
C) 1.575
D) 1.275
E) 1.876
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k this deck
73
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of and the x-axis over the interval Round your answer to 4 decimal places.
A) 7.3013
B) 6.0475
C) 6.4900
D) 7.3750
E) 7.8913
and the x-axis over the interval Round your answer to 4 decimal places. A) 7.3013
B) 6.0475
C) 6.4900
D) 7.3750
E) 7.8913
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Unlock Deck
k this deck
74
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
75
Find the area of the region bounded by the graphs. 1) 2)
A)
B)
C)
D)
E)
1) 2) A)
B)
C)
D)
E)
Unlock Deck
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k this deck
76
Use the Midpoint Rule with n = 4 to approximate the area of the following region.Round your answer to 3 decimal places.
A) 0.556
B) 0.436
C) 0.673
D) 0.268
E) 0.883
A) 0.556
B) 0.436
C) 0.673
D) 0.268
E) 0.883
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Unlock Deck
k this deck
77
Set up the definite integral that gives the area of the region bounded by the graphs.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
78
Two models, and ,are given for revenue (in billions of dollars per year)for a large corporation.Both models are estimates of revenues for 2007 through 2011,with t = 7 corresponding to 2007.Which model is projecting the greater revenue? How much more total revenue does that model project over the five-year period?
A) The model projects greater revenue than $16.56 billion
B) The model projects greater revenue than $14.40 billion
C) The model projects greater revenue than $18.00 billion
D) The model projects greater revenue than $17.10 billion
E) The model projects greater revenue than $16.74 billion
and ,are given for revenue (in billions of dollars per year)for a large corporation.Both models are estimates of revenues for 2007 through 2011,with t = 7 corresponding to 2007.Which model is projecting the greater revenue? How much more total revenue does that model project over the five-year period? A) The model
projects greater revenue than $16.56 billionB) The model
projects greater revenue than $14.40 billionC) The model
projects greater revenue than $18.00 billionD) The model
projects greater revenue than $17.10 billionE) The model
projects greater revenue than $16.74 billion Unlock Deck
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k this deck
79
Find the area of the region bounded by the graphs of the algebraic functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
80
The integrand of the following definite integral is a difference of two functions.
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Sketch the graph of the two functions and shade the region whose area is represented by the integral.
A)
1)
2)
B)
1)
2)
C)
1)
2)
D)
1)
2)
E)
1)
2)
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 88 flashcards in this deck.
