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Deck 6: Integration
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Question
Question
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function 
And that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
Which profession has a more equitable income distribution?
A)
B) 
C) 
D) 
And that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
Which profession has a more equitable income distribution?
A)
B)
C)
D)
Question
The demand function for a certain make of replacement cartridges for a water purifier is given by
Where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
A) $22,006
B) $21,526
C) $21,445
D) $21,667
Question
Question
Question
Question
Question
The demand function for a certain brand of compact disc is given by 
The supply function for the compact discs of is given by
Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
A) $16,907
B) $16,338
C) $16,667
D) $16,805
The supply function for the compact discs of is given by
Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
A) $16,907
B) $16,338
C) $16,667
D) $16,805
Question
Question
Suppose an investment is expected to generate income at the rate of 
Dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 4% /year compounded continuously. Round your answer to the nearest dollar.
A) $1,601,531
B) $1,595,954
C) $1,600,291
D) $1,602,431
Dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 4% /year compounded continuously. Round your answer to the nearest dollar.
A) $1,601,531
B) $1,595,954
C) $1,600,291
D) $1,602,431
Question
The demand function for a certain brand of compact disc is given by
Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale market price is set at $1/disc. Round your answer to the nearest dollar.
A) $26,988
B) $26,667
C) $26,454
D) $26,544
Question
A certain country's income distribution is described by the function 
Compute
and 
.
A)
B) 
C) 
D) 
E) 
Compute
and .
A)
B)
C)
D)
E)
Question
Question
A firm purchased a 15-year franchise for a computer outlet store that is expected to generate income at the rate of 
Dollars per year. If the prevailing interest rate is 9% per year compounded continuously, find the present value of the franchise.
A) $3,264,095
B) $4,938,398
C) $3,619,817
D) $2,240,764
E) $5,973,418
Dollars per year. If the prevailing interest rate is 9% per year compounded continuously, find the present value of the franchise.
A) $3,264,095
B) $4,938,398
C) $3,619,817
D) $2,240,764
E) $5,973,418
Question
It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is
Dollars. Determine the consumers' surplus if the wholesale market price is set at $20/unit. Round your answer to the nearest dollar.
A) $3,114
B) $3,438
C) $3,656
D) $3,579
Question
A certain country's income distribution is described by the function 
Sketch the Lorentz curve for this function.
Compute
and interpret your results.
A)
The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income.
B)
The lowest 80 percent of the people receive 37.3 percent of the total income. The lowest 60 percent of the people receive 64.9 percent of the total income.
C)
The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income.
Sketch the Lorentz curve for this function.
Compute
and interpret your results.
A)
The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income. B)
The lowest 80 percent of the people receive 37.3 percent of the total income. The lowest 60 percent of the people receive 64.9 percent of the total income. C)
The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income. Question
Find 
. Round your answer to the nearest integer.
A) 1,406,645
B) 1,409,534
C) 1,467,002
D) 1,421,879
. Round your answer to the nearest integer. A) 1,406,645
B) 1,409,534
C) 1,467,002
D) 1,421,879
Question
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation 
Where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
Dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollar.
A) CS = $337,012 , PS = $166,346
B) CS = $342,567 , PS = $171,901
C) CS = $343,476 , PS = $172,810
D) CS = $341,333 , PS = $170,667
Where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
Dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollar.
A) CS = $337,012 , PS = $166,346
B) CS = $342,567 , PS = $171,901
C) CS = $343,476 , PS = $172,810
D) CS = $341,333 , PS = $170,667
Question
The quantity demanded x (in units of a hundred) of the miniature cameras per week is related to the unit price p (in dollars) by
And the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
A) The consumers' surplus: $22,075, the producers' surplus: $26,872
B) The consumers' surplus: $6,667, the producers' surplus: $11,667
C) The consumers' surplus: $22,161, the producers' surplus: $39,729
D) The consumers' surplus: $11,667, the producers' surplus: $6,667
E) The consumers' surplus: $39,729, the producers' surplus: $22,161
And the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
A) The consumers' surplus: $22,075, the producers' surplus: $26,872
B) The consumers' surplus: $6,667, the producers' surplus: $11,667
C) The consumers' surplus: $22,161, the producers' surplus: $39,729
D) The consumers' surplus: $11,667, the producers' surplus: $6,667
E) The consumers' surplus: $39,729, the producers' surplus: $22,161
Question
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of stockbrokers was described by the function 
And that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
Which profession has a more equitable income distribution?
A)
B) 
C) 
D) 
And that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
Which profession has a more equitable income distribution?
A)
B)
C)
D)
Question
Find the area of the shaded region. 
A) A = 21.3 sq units.
B) A = 23.6 sq units.
C) A = 19.9 sq units.
D) A = 18.1 sq units.
A) A = 21.3 sq units.
B) A = 23.6 sq units.
C) A = 19.9 sq units.
D) A = 18.1 sq units.
Question
Question
Verify that 
.
. Question
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of stockbrokers was described by the function
and that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
The coefficient of inequality for stockbrokers is __________.
The coefficient of inequality for teachers is __________.
Which profession has a more equitable income distribution?
and that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
The coefficient of inequality for stockbrokers is __________.
The coefficient of inequality for teachers is __________.
Which profession has a more equitable income distribution?
Question
Suppose an investment is expected to generate income at the rate of
dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 0.04% /year compounded continuously. Round your answer to the nearest dollar.
$__________
dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 0.04% /year compounded continuously. Round your answer to the nearest dollar.
$__________
Question
Question
Question
It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is
dollars. Determine the consumers' surplus if the wholesale market price is set at $10/unit. Round your answer to the nearest dollar.
$__________
dollars. Determine the consumers' surplus if the wholesale market price is set at $10/unit. Round your answer to the nearest dollar.
$__________
Question
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function
and that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
The coefficient of inequality for college teachers is __________.
The coefficient of inequality for lawyers is __________.
Which profession has a more equitable income distribution?
and that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
The coefficient of inequality for college teachers is __________.
The coefficient of inequality for lawyers is __________.
Which profession has a more equitable income distribution?
Question
Question
The quantity demanded x (in units of a hundred) of the miniature cameras per week is related to the unit price p (in dollars) by
and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
The consumers' surplus: $__________
The producers' surplus: $__________
and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
The consumers' surplus: $__________
The producers' surplus: $__________
Question
A firm purchased a 10-year franchise for a computer outlet store that is expected to generate income at the rate of
dollars per year. If the prevailing interest rate is 10% per year compounded continuously, find the present value of the franchise. Please round the answer to the nearest dollar.
$__________
dollars per year. If the prevailing interest rate is 10% per year compounded continuously, find the present value of the franchise. Please round the answer to the nearest dollar.
$__________
Question
The demand function for a certain brand of compact disc is given by
The supply function for the compact discs is given by
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
$__________
The supply function for the compact discs is given by
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
$__________
Question
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation
where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollars.
CS = $__________
PS = $__________
where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollars.
CS = $__________
PS = $__________
Question
Question
Question
Find the area of the shaded region. 
A) A = 4 ln 2 sq units.
B) A = 5 ln 2 sq units.
C) A = 2 ln 2 sq units.
D) A = ln 4 sq units.
A) A = 4 ln 2 sq units.
B) A = 5 ln 2 sq units.
C) A = 2 ln 2 sq units.
D) A = ln 4 sq units.
Question
The demand function for a certain brand of compact disc is given by
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale market price is set at $3/disc. Round your answer to the nearest dollar.
$__________
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale market price is set at $3/disc. Round your answer to the nearest dollar.
$__________
Question
The demand function for a certain make of replacement cartridges for a water purifier is given by
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
CS = $__________
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
CS = $__________
Question
Question
Find the area of the shaded region. 
A) A = 12 sq units.
B) A = 13 sq units.
C) A = 9 sq units.
D) A = 10 sq units.
A) A = 12 sq units.
B) A = 13 sq units.
C) A = 9 sq units.
D) A = 10 sq units.
Question
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the graph and find the area of the region completely enclosed by the graphs of the given functions f and G. 
and 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the graph and find the area of the region bounded below by the graph of the given function and above by the x-axis from 
to 
.
A) 
sq units
B) 
sq units
C) 
sq units
D) 
sq units
to .
A)
sq units B)
sq units C)
sq units D)
sq units Question
Find the area of the shaded region. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the region completely enclosed by the graphs of the given functions f and G. 
and 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the region completely enclosed by the graphs of the given functions f and G. 
and 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
In an endeavor to curb population growth in a certain country, the government has decided to launch an extensive propaganda campaign. Without curbs, the government expects the rate of population growth to have been 
Thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
Thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest integer number of thousands.
A) 43 thousand people
B) 42 thousand people
C) 47 thousand people
D) 56 thousand people
E) 53 thousand people
Thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
Thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest integer number of thousands.
A) 43 thousand people
B) 42 thousand people
C) 47 thousand people
D) 56 thousand people
E) 53 thousand people
Question
Find the area of the region enclosed by these graphs and the vertical lines 
and 
. 
A)
B) 
C) 
D) 
E) 
and . A)
B)
C)
D)
E)
Question
Sketch the graph and find the area of the region bounded below by the graph of the given function and above by the x-axis from 
to 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
to . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the graph and find the area of the region bounded by the graph of the function f and lines 
, 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
, and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Sketch the graph and find the area of the region bounded by the graph of the function f and lines 
, 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
, and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
In tests conducted by Auto Test Magazine on two identical models of the Phoenix Elite - one equipped with a standard engine and the other with a turbo-charger - it was found that the acceleration of the former is given by 
Ft/sec, t sec after starting from rest at full throttle, whereas the acceleration of the latter is given by
Ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
A) 60 ft/sec
B) 67 ft/sec
C) 65 ft/sec
D) 50 ft/sec
Ft/sec, t sec after starting from rest at full throttle, whereas the acceleration of the latter is given by
Ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
A) 60 ft/sec
B) 67 ft/sec
C) 65 ft/sec
D) 50 ft/sec
Question
Find the area of the region bounded below by the graph of the function and above by the x-axis from 
to 
. 
A)
B) 
C) 
D) 
E) 
to . A)
B)
C)
D)
E)
Question
Sketch the graph and find the area of the region bounded by the graph of the function f and lines 
, 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
, and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of 
Billion metric tons/year t years from 1970 (which corresponds to
). Had it not been for the energy crisis, the rate of production of coal since 1970 might have been only
Billion metric tons/year t years from 1970. Determine how much additional coal was produced between 1970 and the end of the century as an alternate energy source. Round your answer to one decimal place.
A) 121.3 billion metric tons
B) 128.6 billion metric tons
C) 127.0 billion metric tons
D) 118.1 billion metric tons
Billion metric tons/year t years from 1970 (which corresponds to
). Had it not been for the energy crisis, the rate of production of coal since 1970 might have been only
Billion metric tons/year t years from 1970. Determine how much additional coal was produced between 1970 and the end of the century as an alternate energy source. Round your answer to one decimal place.
A) 121.3 billion metric tons
B) 128.6 billion metric tons
C) 127.0 billion metric tons
D) 118.1 billion metric tons
Question
Find the area of the region bounded by the graph of the function f and the lines 
, 
, and 
. 
A)
B) 
C) 
D) 
E) 
, , and . A)
B)
C)
D)
E)
Question
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines 
and 
. 
A) 
sq units.
B) 
sq units.
C) 
sq units.
D) 
sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Question
Find the area of the shaded region. Round your answer to one decimal place.
Question
Find the area of the shaded region.
Question
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
The area of the region bounded by the graphs of
and 
and the vertical lines 
and 
is given by 
.
The area of the region bounded by the graphs of
and and the vertical lines and is given by . Question
In tests conducted by Auto Test Magazine on two identical models of the Phoenix Elite - one equipped with a standard engine and the other with a turbo-charger - it was found that the acceleration of the former is given by
ft/sec, t seconds after starting from rest at full throttle, whereas the acceleration of the latter is given by
ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
__________ ft/sec
ft/sec, t seconds after starting from rest at full throttle, whereas the acceleration of the latter is given by
ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
__________ ft/sec
Question
In an endeavor to curb population growth in a certain country, the government has decided to launch an extensive propaganda campaign. Without curbs, the government expects the rate of population growth to have been
thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest whole number.
__________ thousand people
thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest whole number.
__________ thousand people
Question
Find the area of the shaded region.
Question
Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of
billion metric tons/year t years from 1960 (which corresponds to
). Had it not been for the energy crisis, the rate of production of coal since 1960 might have been only
billion metric tons/year t years from 1960. Determine how much additional coal was produced between 1960 and the end of the century as an alternate energy source. Round your answer to one decimal place.
__________ billion metric tons
billion metric tons/year t years from 1960 (which corresponds to
). Had it not been for the energy crisis, the rate of production of coal since 1960 might have been only
billion metric tons/year t years from 1960. Determine how much additional coal was produced between 1960 and the end of the century as an alternate energy source. Round your answer to one decimal place.
__________ billion metric tons
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
The area of the region bounded by the graphs of
and 
and the vertical lines 
and 
is given by 
.
The area of the region bounded by the graphs of
and and the vertical lines and is given by .
Question
Evaluate the definite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the area of the shaded region.
Question
Evaluate the definite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Evaluate the definite integral. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Evaluate the given definite integral. 
A)
B)
C)
D)
A)
B)
C)
D)
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Deck 6: Integration
1
Estimate the present value of an annuity if payments are $1,500 monthly for 15 years and the account earns interest at the rate of 10% per year compounded continuously. Round your answer to the nearest dollar.
A) $124,516
B) $124,708
C) $131,206
D) $126,483
E) $139,837
A) $124,516
B) $124,708
C) $131,206
D) $126,483
E) $139,837
$139,837
2
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function
And that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
Which profession has a more equitable income distribution?
A)
B)
C)
D)
And that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
Which profession has a more equitable income distribution?
A)
B)
C)
D)
3
The demand function for a certain make of replacement cartridges for a water purifier is given by
Where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
A) $22,006
B) $21,526
C) $21,445
D) $21,667
$21,667
4
Sinclair wishes to supplement his retirement income by $250 per month for the next 12 years. He plans to obtain a reverse annuity mortgage (RAM) on his home to meet this need. Estimate the amount of the mortgage he will require if the prevailing interest rate is 11% per year compounded continuously.
A) $34,403
B) $19,987
C) $29,713
D) $34,790
E) $15,104
A) $34,403
B) $19,987
C) $29,713
D) $34,790
E) $15,104
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5
Find the amount of an annuity if $200 per month is paid into it for a period of 17 years, earning interest at the rate of 7% per year compounded continuously. Round you answer to the nearest dollar.
A) $284,751
B) $130,510
C) $78,414
D) $84,009
E) $144,734
A) $284,751
B) $130,510
C) $78,414
D) $84,009
E) $144,734
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6
Aiso deposits $130/month in a savings account paying 5% /year compounded continuously. Estimate the amount that will be in his account after 5 years. Round your answer to the nearest dollar.
A) $8,862
B) $10,096
C) $4,541
D) $11,005
A) $8,862
B) $10,096
C) $4,541
D) $11,005
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7
Estimate the present value of an annuity if payments are $700 monthly for 14 years and the account earns interest at the rate of 4% /year compounded continuously. Round your answer to the nearest dollar.
A) $85,725
B) $90,046
C) $91,280
D) $92,189
A) $85,725
B) $90,046
C) $91,280
D) $92,189
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8
The demand function for a certain brand of compact disc is given by
The supply function for the compact discs of is given by
Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
A) $16,907
B) $16,338
C) $16,667
D) $16,805
The supply function for the compact discs of is given by
Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
A) $16,907
B) $16,338
C) $16,667
D) $16,805
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9
The Armstrongs wish to establish a custodial account to finance their children's education. If they deposit $100 monthly for 10 years in a savings account paying 6% /year compounded continuously, how much will their savings account be worth at the end of this period? Round your answer to the nearest dollar.
A) $12,100
B) $17,654
C) $18,567
D) $16,442
A) $12,100
B) $17,654
C) $18,567
D) $16,442
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10
Suppose an investment is expected to generate income at the rate of
Dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 4% /year compounded continuously. Round your answer to the nearest dollar.
A) $1,601,531
B) $1,595,954
C) $1,600,291
D) $1,602,431
Dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 4% /year compounded continuously. Round your answer to the nearest dollar.
A) $1,601,531
B) $1,595,954
C) $1,600,291
D) $1,602,431
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11
The demand function for a certain brand of compact disc is given by
Where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale market price is set at $1/disc. Round your answer to the nearest dollar.
A) $26,988
B) $26,667
C) $26,454
D) $26,544
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12
A certain country's income distribution is described by the function
Compute and .
A)
B)
C)
D)
E)
Compute
and .
A)
B)
C)
D)
E)
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13
A state lottery commission pays the winner of the "Million Dollar" lottery 20 annual installments of $30,000 each. If the prevailing interest rate is 8% /year compounded continuously, find the present value of the winning ticket. Round your answer to the nearest dollar.
A) $301,432
B) $294,968
C) $299,289
D) $300,523
A) $301,432
B) $294,968
C) $299,289
D) $300,523
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14
A firm purchased a 15-year franchise for a computer outlet store that is expected to generate income at the rate of
Dollars per year. If the prevailing interest rate is 9% per year compounded continuously, find the present value of the franchise.
A) $3,264,095
B) $4,938,398
C) $3,619,817
D) $2,240,764
E) $5,973,418
Dollars per year. If the prevailing interest rate is 9% per year compounded continuously, find the present value of the franchise.
A) $3,264,095
B) $4,938,398
C) $3,619,817
D) $2,240,764
E) $5,973,418
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15
It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is
Dollars. Determine the consumers' surplus if the wholesale market price is set at $20/unit. Round your answer to the nearest dollar.
A) $3,114
B) $3,438
C) $3,656
D) $3,579
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16
A certain country's income distribution is described by the function
Sketch the Lorentz curve for this function.
Compute and interpret your results.
A) The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income.
B) The lowest 80 percent of the people receive 37.3 percent of the total income. The lowest 60 percent of the people receive 64.9 percent of the total income.
C) The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income.
Sketch the Lorentz curve for this function.
Compute
and interpret your results.
A)
The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income. B)
The lowest 80 percent of the people receive 37.3 percent of the total income. The lowest 60 percent of the people receive 64.9 percent of the total income. C)
The lowest 60 percent of the people receive 37.3 percent of the total income. The lowest 80 percent of the people receive 64.9 percent of the total income. Unlock Deck
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17
Find . Round your answer to the nearest integer.
A) 1,406,645
B) 1,409,534
C) 1,467,002
D) 1,421,879
. Round your answer to the nearest integer. A) 1,406,645
B) 1,409,534
C) 1,467,002
D) 1,421,879
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18
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation
Where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
Dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollar.
A) CS = $337,012 , PS = $166,346
B) CS = $342,567 , PS = $171,901
C) CS = $343,476 , PS = $172,810
D) CS = $341,333 , PS = $170,667
Where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
Dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollar.
A) CS = $337,012 , PS = $166,346
B) CS = $342,567 , PS = $171,901
C) CS = $343,476 , PS = $172,810
D) CS = $341,333 , PS = $170,667
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19
The quantity demanded x (in units of a hundred) of the miniature cameras per week is related to the unit price p (in dollars) by
And the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
A) The consumers' surplus: $22,075, the producers' surplus: $26,872
B) The consumers' surplus: $6,667, the producers' surplus: $11,667
C) The consumers' surplus: $22,161, the producers' surplus: $39,729
D) The consumers' surplus: $11,667, the producers' surplus: $6,667
E) The consumers' surplus: $39,729, the producers' surplus: $22,161
And the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
A) The consumers' surplus: $22,075, the producers' surplus: $26,872
B) The consumers' surplus: $6,667, the producers' surplus: $11,667
C) The consumers' surplus: $22,161, the producers' surplus: $39,729
D) The consumers' surplus: $11,667, the producers' surplus: $6,667
E) The consumers' surplus: $39,729, the producers' surplus: $22,161
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20
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of stockbrokers was described by the function
And that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
Which profession has a more equitable income distribution?
A)
B)
C)
D)
And that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
Which profession has a more equitable income distribution?
A)
B)
C)
D)
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21
Find the area of the shaded region.
A) A = 21.3 sq units.
B) A = 23.6 sq units.
C) A = 19.9 sq units.
D) A = 18.1 sq units.
A) A = 21.3 sq units.
B) A = 23.6 sq units.
C) A = 19.9 sq units.
D) A = 18.1 sq units.
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22
Estimate the present value of an annuity if payments are $800 monthly for 19 years and the account earns interest at the rate of 8% /year compounded continuously. Round your answer to the nearest dollar.
$__________
$__________
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23
Verify that .
. Unlock Deck
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24
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of stockbrokers was described by the function
and that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
The coefficient of inequality for stockbrokers is __________.
The coefficient of inequality for teachers is __________.
Which profession has a more equitable income distribution?
and that of high school teachers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answers to the nearest hundredth.
The coefficient of inequality for stockbrokers is __________.
The coefficient of inequality for teachers is __________.
Which profession has a more equitable income distribution?
Unlock Deck
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25
Suppose an investment is expected to generate income at the rate of
dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 0.04% /year compounded continuously. Round your answer to the nearest dollar.
$__________
dollars/year for the next 6 years. Find the present value of this investment if the prevailing interest rate is 0.04% /year compounded continuously. Round your answer to the nearest dollar.
$__________
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26
Sinclair wishes to supplement his retirement income by $400 per month for the next 14 years. He plans to obtain a reverse annuity mortgage (RAM) on his home to meet this need. Estimate the amount of the mortgage he will require if the prevailing interest rate is 11% per year compounded continuously. Please round the answer to the nearest dollar.
$__________
$__________
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27
Aiso deposits $150 / month in a savings account paying 8% /year compounded continuously. Estimate the amount that will be in his account after 25 years. Round your answer to the nearest dollar.
$__________
$__________
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28
It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is
dollars. Determine the consumers' surplus if the wholesale market price is set at $10/unit. Round your answer to the nearest dollar.
$__________
dollars. Determine the consumers' surplus if the wholesale market price is set at $10/unit. Round your answer to the nearest dollar.
$__________
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29
In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of college teachers was described by the function
and that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
The coefficient of inequality for college teachers is __________.
The coefficient of inequality for lawyers is __________.
Which profession has a more equitable income distribution?
and that of lawyers by the function
Compute the coefficient of inequality for each Lorentz curve. Round your answer to four decimal places.
The coefficient of inequality for college teachers is __________.
The coefficient of inequality for lawyers is __________.
Which profession has a more equitable income distribution?
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30
Find the amount of an annuity if $230 per month is paid into it for a period of 20 years, earning interest at the rate of 7% per year compounded continuously. Please round the answer to the nearest dollar.
$__________
$__________
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31
The quantity demanded x (in units of a hundred) of the miniature cameras per week is related to the unit price p (in dollars) by
and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
The consumers' surplus: $__________
The producers' surplus: $__________
and the quantity x (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by
If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Please round the answers to the nearest dollar.
The consumers' surplus: $__________
The producers' surplus: $__________
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32
A firm purchased a 10-year franchise for a computer outlet store that is expected to generate income at the rate of
dollars per year. If the prevailing interest rate is 10% per year compounded continuously, find the present value of the franchise. Please round the answer to the nearest dollar.
$__________
dollars per year. If the prevailing interest rate is 10% per year compounded continuously, find the present value of the franchise. Please round the answer to the nearest dollar.
$__________
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33
The demand function for a certain brand of compact disc is given by
The supply function for the compact discs is given by
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
$__________
The supply function for the compact discs is given by
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the producers' surplus if the wholesale market price is set at the equilibrium price. Round your answer to the nearest dollar.
$__________
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34
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation
where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollars.
CS = $__________
PS = $__________
where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is
dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at the equilibrium price. Round your answers to the nearest dollars.
CS = $__________
PS = $__________
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35
A state lottery commission pays the winner of the "Million Dollar" lottery 30 annual installments of $30,000 each. If the prevailing interest rate is 5% /year compounded continuously, find the present value of the winning ticket. Round your answer to the nearest dollar.
$__________
$__________
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36
Estimate the present value of an annuity if payments are $1,200 monthly for 11 years and the account earns interest at the rate of 10% per year compounded continuously. Please round the answer to the nearest dollar.
$__________
$__________
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37
Find the area of the shaded region.
A) A = 4 ln 2 sq units.
B) A = 5 ln 2 sq units.
C) A = 2 ln 2 sq units.
D) A = ln 4 sq units.
A) A = 4 ln 2 sq units.
B) A = 5 ln 2 sq units.
C) A = 2 ln 2 sq units.
D) A = ln 4 sq units.
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38
The demand function for a certain brand of compact disc is given by
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale market price is set at $3/disc. Round your answer to the nearest dollar.
$__________
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the wholesale market price is set at $3/disc. Round your answer to the nearest dollar.
$__________
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39
The demand function for a certain make of replacement cartridges for a water purifier is given by
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
CS = $__________
where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $1/cartridge. Round your answer to the nearest dollar.
CS = $__________
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40
The Armstrongs wish to establish a custodial account to finance their children's education. If they deposit $200 monthly for 10 years in a savings account paying 8% /year compounded continuously, how much will their savings account be worth at the end of this period? Round your answer to the nearest dollar.
$__________
$__________
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41
Find the area of the shaded region.
A) A = 12 sq units.
B) A = 13 sq units.
C) A = 9 sq units.
D) A = 10 sq units.
A) A = 12 sq units.
B) A = 13 sq units.
C) A = 9 sq units.
D) A = 10 sq units.
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42
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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43
Sketch the graph and find the area of the region completely enclosed by the graphs of the given functions f and G. and
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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44
Sketch the graph and find the area of the region bounded below by the graph of the given function and above by the x-axis from to .
A) sq units
B) sq units
C) sq units
D) sq units
to .
A)
sq units B)
sq units C)
sq units D)
sq units Unlock Deck
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45
Find the area of the shaded region.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Sketch the region completely enclosed by the graphs of the given functions f and G. and
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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47
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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48
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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49
Sketch the region completely enclosed by the graphs of the given functions f and G. and
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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50
In an endeavor to curb population growth in a certain country, the government has decided to launch an extensive propaganda campaign. Without curbs, the government expects the rate of population growth to have been
Thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
Thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest integer number of thousands.
A) 43 thousand people
B) 42 thousand people
C) 47 thousand people
D) 56 thousand people
E) 53 thousand people
Thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
Thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest integer number of thousands.
A) 43 thousand people
B) 42 thousand people
C) 47 thousand people
D) 56 thousand people
E) 53 thousand people
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51
Find the area of the region enclosed by these graphs and the vertical lines and .
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
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52
Sketch the graph and find the area of the region bounded below by the graph of the given function and above by the x-axis from to .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
to . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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53
Sketch the graph and find the area of the region bounded by the graph of the function f and lines , and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
, and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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54
Sketch the graph and find the area of the region bounded by the graph of the function f and lines , and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
, and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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55
In tests conducted by Auto Test Magazine on two identical models of the Phoenix Elite - one equipped with a standard engine and the other with a turbo-charger - it was found that the acceleration of the former is given by
Ft/sec, t sec after starting from rest at full throttle, whereas the acceleration of the latter is given by
Ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
A) 60 ft/sec
B) 67 ft/sec
C) 65 ft/sec
D) 50 ft/sec
Ft/sec, t sec after starting from rest at full throttle, whereas the acceleration of the latter is given by
Ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
A) 60 ft/sec
B) 67 ft/sec
C) 65 ft/sec
D) 50 ft/sec
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56
Find the area of the region bounded below by the graph of the function and above by the x-axis from to .
A)
B)
C)
D)
E)
to . A)
B)
C)
D)
E)
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57
Sketch the graph and find the area of the region bounded by the graph of the function f and lines , and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
, and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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58
Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of
Billion metric tons/year t years from 1970 (which corresponds to ). Had it not been for the energy crisis, the rate of production of coal since 1970 might have been only
Billion metric tons/year t years from 1970. Determine how much additional coal was produced between 1970 and the end of the century as an alternate energy source. Round your answer to one decimal place.
A) 121.3 billion metric tons
B) 128.6 billion metric tons
C) 127.0 billion metric tons
D) 118.1 billion metric tons
Billion metric tons/year t years from 1970 (which corresponds to
). Had it not been for the energy crisis, the rate of production of coal since 1970 might have been only
Billion metric tons/year t years from 1970. Determine how much additional coal was produced between 1970 and the end of the century as an alternate energy source. Round your answer to one decimal place.
A) 121.3 billion metric tons
B) 128.6 billion metric tons
C) 127.0 billion metric tons
D) 118.1 billion metric tons
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59
Find the area of the region bounded by the graph of the function f and the lines , , and .
A)
B)
C)
D)
E)
, , and . A)
B)
C)
D)
E)
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60
Sketch the graphs of the functions f and g and find the area of the region enclosed by these graphs and the vertical lines and .
A) sq units.
B) sq units.
C) sq units.
D) sq units.
and . A)
sq units. B)
sq units. C)
sq units. D)
sq units. Unlock Deck
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61
Find the area of the shaded region. Round your answer to one decimal place.
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62
Find the area of the shaded region.
Unlock Deck
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63
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
The area of the region bounded by the graphs of and and the vertical lines and is given by .
The area of the region bounded by the graphs of
and and the vertical lines and is given by . Unlock Deck
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64
In tests conducted by Auto Test Magazine on two identical models of the Phoenix Elite - one equipped with a standard engine and the other with a turbo-charger - it was found that the acceleration of the former is given by
ft/sec, t seconds after starting from rest at full throttle, whereas the acceleration of the latter is given by
ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
__________ ft/sec
ft/sec, t seconds after starting from rest at full throttle, whereas the acceleration of the latter is given by
ft/sec. How much faster is the turbo-charged model moving than the model with the standard engine at the end of a 10-second test run at full throttle?
__________ ft/sec
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65
In an endeavor to curb population growth in a certain country, the government has decided to launch an extensive propaganda campaign. Without curbs, the government expects the rate of population growth to have been
thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest whole number.
__________ thousand people
thousand people per year t years from now, over the next 5 years. However, successful implementation of the proposed campaign is expected to result in a population growth rate of
thousand people per year t years from now, over the next 5 years. Assuming that the campaign is mounted, how many fewer people will there be in that country 5 years from now then there would have been if no curbs had been imposed?
Please round your answer to the nearest whole number.
__________ thousand people
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66
Find the area of the shaded region.
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67
Because of the increasingly important role played by coal as a viable alternative energy source, the production of coal has been growing at the rate of
billion metric tons/year t years from 1960 (which corresponds to ). Had it not been for the energy crisis, the rate of production of coal since 1960 might have been only
billion metric tons/year t years from 1960. Determine how much additional coal was produced between 1960 and the end of the century as an alternate energy source. Round your answer to one decimal place.
__________ billion metric tons
billion metric tons/year t years from 1960 (which corresponds to
). Had it not been for the energy crisis, the rate of production of coal since 1960 might have been only
billion metric tons/year t years from 1960. Determine how much additional coal was produced between 1960 and the end of the century as an alternate energy source. Round your answer to one decimal place.
__________ billion metric tons
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68
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
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69
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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70
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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71
Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.
The area of the region bounded by the graphs of and and the vertical lines and is given by .
The area of the region bounded by the graphs of
and and the vertical lines and is given by .
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72
Evaluate the definite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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73
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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74
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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75
Find the area of the shaded region.
Unlock Deck
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Unlock Deck
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76
Evaluate the definite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 291 flashcards in this deck.
Unlock Deck
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77
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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78
Evaluate the definite integral.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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79
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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Unlock Deck
k this deck
80
Evaluate the given definite integral.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 291 flashcards in this deck.
Unlock Deck
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Unlock Deck
Unlock for access to all 291 flashcards in this deck.
