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Deck 4: Exponential and Logarithmic Functions
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Question
Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function 
,where t is the time in years,with 
corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.
A) 5,973 million
B) 958 million
C) 1,336 million
D) 353 million
E) 5,972 million
,where t is the time in years,with corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.A) 5,973 million
B) 958 million
C) 1,336 million
D) 353 million
E) 5,972 million
Question
Question
Question
Sketch the graph of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Use the properties of exponents to simplify the expression 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Use a graphing utility to graph the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Use the properties of exponents to simplify the expression 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Determine the continuity of the function below. 
A) discontinuous at
B) continuous on the entire real number line
C) discontinuous at
D) discontinuous at
E) discontinuous at
A) discontinuous at
B) continuous on the entire real number line
C) discontinuous at
D) discontinuous at
E) discontinuous at
Question
Use a graphing utility to graph the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Question
After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth 
of its value for the previous year.Find a model for V(t),the value of the car after t years.
A) 
B) 
C) 
D) 
E) 
of its value for the previous year.Find a model for V(t),the value of the car after t years.A)
B)
C)
D)
E)
Question
Question
Sketch the graph of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
With an annual rate of inflation of 4% over the next 10 years,the approximate cost of goods or services during any year in the decade is given by 
where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.
A) $37.09
B) $36.93
C) $89.00
D) $63.90
where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.A) $37.09
B) $36.93
C) $89.00
D) $63.90
Question
Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by 
, 
where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.
A) $39.95
B) $40.41
C) $41.95
D) $43.41
E) $38.41
, where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.A) $39.95
B) $40.41
C) $41.95
D) $43.41
E) $38.41
Question
Sketch the graph of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Use a graphing utility to graph the function 
Be sure to choose an appropriate viewing window.
A) 
B) 
C) 
D) 
E) 
Be sure to choose an appropriate viewing window. A)
B)
C)
D)
E)
Question
Evaluate the expression 
A) 125
B) 5
C) 25
D) 27
E) 29
A) 125
B) 5
C) 25
D) 27
E) 29
Question
Determine whether the function below has any horizontal asymptotes. 
A) horizontal asymptotes:
B) no horizontal asymptotes
C) horizontal asymptotes:
D) horizontal asymptotes:
E) horizontal asymptotes:
A) horizontal asymptotes:
B) no horizontal asymptotes
C) horizontal asymptotes:
D) horizontal asymptotes:
E) horizontal asymptotes:
Question
After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by 
,for 
How much of the initial mass remains after 136 years? Round your answer to two decimal places.
A) 2.00 grams
B) 2.20 grams
C) 3.30 grams
D) 2.90 grams
E) 1.00 gram
,for How much of the initial mass remains after 136 years? Round your answer to two decimal places. A) 2.00 grams
B) 2.20 grams
C) 3.30 grams
D) 2.90 grams
E) 1.00 gram
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
The demand function for a product is modeled by 
Find the price of the product if the quantity demanded is 
Round your answer to two decimal places where applicable.
A) $158.51
B) $2,468.78
C) $531.22
D) $2,478.98
E) $541.52
Find the price of the product if the quantity demanded is Round your answer to two decimal places where applicable.A) $158.51
B) $2,468.78
C) $531.22
D) $2,478.98
E) $541.52
Question
Question
Question
If 
,find 
A) 
B) 
C) 
D) 
E) 
,find A)
B)
C)
D)
E)
Question
Find the equation of the tangent line to 
at the point 
A) 
B) 
C) 
D) 
E) 
at the point A)
B)
C)
D)
E)
Question
Find the derivative of 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
The demand function for a product is modeled by 
What is the limit of the price as x increases without bound?
A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.
What is the limit of the price as x increases without bound?A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find 
if 
A) 
B) 
C) 
D) 
E) 
if A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If 
,find 
A) 
B) 
C) 
D) 
E) 
,find A)
B)
C)
D)
E)
Question
Write the equation of the line tangent to the graph of 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Use implicit differentiation to find 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find an equation of the tangent line to the graph of 
at the point 
A) 
B) 
C) 
D) 
E) 
at the point A)
B)
C)
D)
E)
Question
The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is 
Find the probability that the next call will come within the next 
minute.Round your answer to two decimal places.
A) 24.25%
B) 2.43%
C) 175.75%
D) 26.48%
E) 5.97%
Find the probability that the next call will come within the next minute.Round your answer to two decimal places.A) 24.25%
B) 2.43%
C) 175.75%
D) 26.48%
E) 5.97%
Question
If 
,find 
A) 
B) 
C) 
D) 
E) 
,find A)
B)
C)
D)
E)
Question
Find 
if 
A) 
B) 
C) 
D) 
E) 
if A)
B)
C)
D)
E)
Question
A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Simplify 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the extrema of the function 
by analyzing its graph below.
A) 
B) 
C) 
D) 
E) 
by analyzing its graph below.
A)
B)
C)
D)
E)
Question
Use the properties of logarithms to write the expression 
as a sum,difference,or multiple of logarithms.
A) 
B) 
C) 
D) 
E) 
as a sum,difference,or multiple of logarithms.A)
B)
C)
D)
E)
Question
Simplify 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Sketch the graph of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Use the properties of logarithms to approximate 
,given that 
A) -4.9767
B) -1.7579
C) 0.4780
D) 5.4195
E) 4.9767
,given that A) -4.9767
B) -1.7579
C) 0.4780
D) 5.4195
E) 4.9767
Question
Use the properties of logarithms to expand 
A) 
B) 
C) 
D) 
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Find 
,if 
A) 
B) 
C) 
D) 
E) 
,if A)
B)
C)
D)
E)
Question
Find the extrema of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
The average typing speed N (in words per minute)after t weeks of lessons is modeled by 
Find the rate at which the typing speed is changing when 
weeks.Round your answer to two decimal places.
A) 1.51 words/min/week
B) 2.15 words/min/week
C) 2.51 words/min/week
D) 4.38 words/min/week
E) 5.04 words/min/week
Find the rate at which the typing speed is changing when weeks.Round your answer to two decimal places. A) 1.51 words/min/week
B) 2.15 words/min/week
C) 2.51 words/min/week
D) 4.38 words/min/week
E) 5.04 words/min/week
Question
Write the logarithmic equation 
as an exponential equation.
A)
B)
C)
D)
E)
as an exponential equation. A)
B)
C)
D)
E)
Question
Sketch the graph of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Write the exponential equation 
as a logarithmic equation.
A) 
B) 
C) 
D) 
E) 
as a logarithmic equation.A)
B)
C)
D)
E)
Question
Solve for the equation for 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is 
,where t is the number of years.At what rate is the money in this account growing when 
?
A) $10.03 per year
B) $65.57 per year
C) $1,003.33 per year
D) $725.66 per year
E) $90.30 per year
,where t is the number of years.At what rate is the money in this account growing when ?A) $10.03 per year
B) $65.57 per year
C) $1,003.33 per year
D) $725.66 per year
E) $90.30 per year
Question
Use the properties of logarithms to expand 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Sketch the graph of the function 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as 
Find the derivative of the model.
A) 
B) 
C) 
D) 
E) 
Find the derivative of the model. A)
B)
C)
D)
E)
Question
Use the properties of logarithms to write the expression as a single logarithm. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Solve the following equation for x accurate to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Solve the following equation for x accurate to three decimal places. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Solve the exponential equation.Give the answer correct to 3 decimal places. 
A) 0.675
B) 3.374
C) 7.410
D) 0.599
E) 14.979
A) 0.675
B) 3.374
C) 7.410
D) 0.599
E) 14.979
Question
Write the following expression as a logarithm of a single quantity. 
A) 
B) 
C) 
D) 
E) none of the above
A)
B)
C)
D)
E) none of the above
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the derivative of 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Write the following expression as a logarithm of a single quantity. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Solve the following equation for accurate to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Find the derivative of the following function. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Solve the exponential equation.Give answers correct to 3 decimal places. 
A) 343
B) 0.571
C) 0.712
D) 0.356
E) 0.805
A) 343
B) 0.571
C) 0.712
D) 0.356
E) 0.805
Question
Write the expression 
as the logarithm of a single quantity.
A) 
B) 
C) 
D) 
E) 
as the logarithm of a single quantity.A)
B)
C)
D)
E)
Question
Solve the exponential equation.Give the answer correct to 3 decimal places. 
A) -2.993
B) -0.100
C) 2.182
D) -1.091
E) 5.986
A) -2.993
B) -0.100
C) 2.182
D) -1.091
E) 5.986
Question
Write the expression 
as the logarithm of a single quantity.
A) 
B) 
C) 
D) 
E) 
as the logarithm of a single quantity.A)
B)
C)
D)
E)
Question
Solve 
for t.Round your answer to four decimal places.
A) 1.4454
B) 0.3611
C) 2.6344
D) 0.3614
E) 2.7184
for t.Round your answer to four decimal places. A) 1.4454
B) 0.3611
C) 2.6344
D) 0.3614
E) 2.7184
Question
Solve the exponential equation.Give the answer correct to 3 decimal places. 
A) -0.219
B) 2.033
C) 0.274
D) -2.033
E) -0.224
A) -0.219
B) 2.033
C) 0.274
D) -2.033
E) -0.224
Question
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Deck 4: Exponential and Logarithmic Functions
1
Assume the population P (in millions)of the United States from 1992 through 2005 can be modeled by the exponential function ,where t is the time in years,with corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.
A) 5,973 million
B) 958 million
C) 1,336 million
D) 353 million
E) 5,972 million
,where t is the time in years,with corresponding to 1992.Use the model to estimate the population in the year 2009.Round your answer to the nearest million.A) 5,973 million
B) 958 million
C) 1,336 million
D) 353 million
E) 5,972 million
5,973 million
2
To help their son buy a car on his 16th birthday,a boy's parents invest $1,900 on his 10th birthday.If the investment pays an annual rate of 9% compounded continuously,how much is available on his 16th birthday? Round your answer to the nearest cent.
A) $3,240.96
B) $3,260.41
C) $3,186.49
D) $2,926.00
E) $16,475.16
A) $3,240.96
B) $3,260.41
C) $3,186.49
D) $2,926.00
E) $16,475.16
$3,260.41
3
What is the resulting balance if $4,500 is invested for 5 years at an annual rate of 7% compounded monthly?
A) $4,632.79
B) $4,687.00
C) $6,075.00
D) $6,379.31
E) $8,258.80
A) $4,632.79
B) $4,687.00
C) $6,075.00
D) $6,379.31
E) $8,258.80
$6,379.31
4
Sketch the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Use the properties of exponents to simplify the expression
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Use a graphing utility to graph the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Use the properties of exponents to simplify the expression
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Determine the continuity of the function below.
A) discontinuous at
B) continuous on the entire real number line
C) discontinuous at
D) discontinuous at
E) discontinuous at
A) discontinuous at
B) continuous on the entire real number line
C) discontinuous at
D) discontinuous at
E) discontinuous at
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9
Use a graphing utility to graph the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
How much more interest will be earned if $7,000 is invested for 9 years at an annual rate of 9% compounded continuously,instead of at 9% compounded quarterly? Round your answer to the nearest cent.
A) $47.49
B) $93.15
C) $140.64
D) $2,924.71
E) $3,017.87
A) $47.49
B) $93.15
C) $140.64
D) $2,924.71
E) $3,017.87
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11
After t years,the value of a car that originally cost $18,000 depreciates so that each year it is worth of its value for the previous year.Find a model for V(t),the value of the car after t years.
A)
B)
C)
D)
E)
of its value for the previous year.Find a model for V(t),the value of the car after t years.A)
B)
C)
D)
E)
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12
What lump sum should be deposited in an account that will earn at an annual rate of 9%,compounded quarterly,to grow to $150,000 for retirement in 20 years? Round your answer to the nearest cent.
A) $147,330.10
B) $18,292.68
C) $53,571.43
D) $24,961.93
E) $25,294.49
A) $147,330.10
B) $18,292.68
C) $53,571.43
D) $24,961.93
E) $25,294.49
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13
Sketch the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
With an annual rate of inflation of 4% over the next 10 years,the approximate cost of goods or services during any year in the decade is given by where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.
A) $37.09
B) $36.93
C) $89.00
D) $63.90
where t is the time (in years)and P is the present cost.The price of an oil change for a car is presently $24.95.Estimate the price 10 years from now.Round your answer to the nearest cent.A) $37.09
B) $36.93
C) $89.00
D) $63.90
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15
Suppose that the annual rate of inflation averages 4% over the next 10 years.With this rate of inflation,the approximate cost C of goods or services during any year in that decade will be given by , where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.
A) $39.95
B) $40.41
C) $41.95
D) $43.41
E) $38.41
, where t is time in years and P is the present cost.If the price of an oil change for your car is presently $25.95,estimate the price 10 years from now.Round your answer to two decimal places.A) $39.95
B) $40.41
C) $41.95
D) $43.41
E) $38.41
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16
Sketch the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Use a graphing utility to graph the function Be sure to choose an appropriate viewing window.
A)
B)
C)
D)
E)
Be sure to choose an appropriate viewing window. A)
B)
C)
D)
E)
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18
Evaluate the expression
A) 125
B) 5
C) 25
D) 27
E) 29
A) 125
B) 5
C) 25
D) 27
E) 29
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19
Determine whether the function below has any horizontal asymptotes.
A) horizontal asymptotes:
B) no horizontal asymptotes
C) horizontal asymptotes:
D) horizontal asymptotes:
E) horizontal asymptotes:
A) horizontal asymptotes:
B) no horizontal asymptotes
C) horizontal asymptotes:
D) horizontal asymptotes:
E) horizontal asymptotes:
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20
After t years,the remaining mass y(in grams)of 16 grams of a radioactive element whose half-life is 34 years is given by ,for How much of the initial mass remains after 136 years? Round your answer to two decimal places.
A) 2.00 grams
B) 2.20 grams
C) 3.30 grams
D) 2.90 grams
E) 1.00 gram
,for How much of the initial mass remains after 136 years? Round your answer to two decimal places. A) 2.00 grams
B) 2.20 grams
C) 3.30 grams
D) 2.90 grams
E) 1.00 gram
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21
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
The demand function for a product is modeled by Find the price of the product if the quantity demanded is Round your answer to two decimal places where applicable.
A) $158.51
B) $2,468.78
C) $531.22
D) $2,478.98
E) $541.52
Find the price of the product if the quantity demanded is Round your answer to two decimal places where applicable.A) $158.51
B) $2,468.78
C) $531.22
D) $2,478.98
E) $541.52
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25
Find the future value if $4,200 is invested for 6 years at an annual rate of 9% compounded quarterly.
A) $9,072.00
B) $4,799.87
C) $7,043.82
D) $7,122.70
E) $7,164.22
A) $9,072.00
B) $4,799.87
C) $7,043.82
D) $7,122.70
E) $7,164.22
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26
What is the annual percentage yield (or effective annual rate)for a nominal rate of 8.7% compounded quarterly? Round your answer to two decimal places.
A) 8.70%
B) 9.06%
C) 9.09%
D) 8.99%
E) 8.89%
A) 8.70%
B) 9.06%
C) 9.09%
D) 8.99%
E) 8.89%
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27
If ,find
A)
B)
C)
D)
E)
,find A)
B)
C)
D)
E)
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28
Find the equation of the tangent line to at the point
A)
B)
C)
D)
E)
at the point A)
B)
C)
D)
E)
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29
Find the derivative of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
The demand function for a product is modeled by What is the limit of the price as x increases without bound?
A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.
What is the limit of the price as x increases without bound?A) The limit of the price as x increases without bound is -1.
B) The limit of the price as x increases without bound is 1.
C) The limit of the price as x increases without bound is 0.
D) The limit of the price as x increases without bound is 3,000.
E) The limit of the price as x increases without bound is 4.
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31
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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32
Find if
A)
B)
C)
D)
E)
if A)
B)
C)
D)
E)
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Unlock Deck
k this deck
33
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
If ,find
A)
B)
C)
D)
E)
,find A)
B)
C)
D)
E)
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35
Write the equation of the line tangent to the graph of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
Use implicit differentiation to find
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
Find an equation of the tangent line to the graph of at the point
A)
B)
C)
D)
E)
at the point A)
B)
C)
D)
E)
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38
The average time between incoming calls at a switchboard is 3 minutes.If a call has just come in,the probability that the next call will come within the next t minutes is Find the probability that the next call will come within the next minute.Round your answer to two decimal places.
A) 24.25%
B) 2.43%
C) 175.75%
D) 26.48%
E) 5.97%
Find the probability that the next call will come within the next minute.Round your answer to two decimal places.A) 24.25%
B) 2.43%
C) 175.75%
D) 26.48%
E) 5.97%
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39
If ,find
A)
B)
C)
D)
E)
,find A)
B)
C)
D)
E)
Unlock Deck
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40
Find if
A)
B)
C)
D)
E)
if A)
B)
C)
D)
E)
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Unlock Deck
k this deck
41
A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 500 with a standard deviation of 15.5.Assuming the data can be modeled by a normal probability density function,find a model for these data.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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42
Simplify
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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43
Find the extrema of the function by analyzing its graph below.
A)
B)
C)
D)
E)
by analyzing its graph below.
A)
B)
C)
D)
E)
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44
Use the properties of logarithms to write the expression as a sum,difference,or multiple of logarithms.
A)
B)
C)
D)
E)
as a sum,difference,or multiple of logarithms.A)
B)
C)
D)
E)
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45
Simplify
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Sketch the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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47
Use the properties of logarithms to approximate ,given that
A) -4.9767
B) -1.7579
C) 0.4780
D) 5.4195
E) 4.9767
,given that A) -4.9767
B) -1.7579
C) 0.4780
D) 5.4195
E) 4.9767
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48
Use the properties of logarithms to expand
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
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49
Find ,if
A)
B)
C)
D)
E)
,if A)
B)
C)
D)
E)
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Unlock Deck
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50
Find the extrema of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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51
The average typing speed N (in words per minute)after t weeks of lessons is modeled by Find the rate at which the typing speed is changing when weeks.Round your answer to two decimal places.
A) 1.51 words/min/week
B) 2.15 words/min/week
C) 2.51 words/min/week
D) 4.38 words/min/week
E) 5.04 words/min/week
Find the rate at which the typing speed is changing when weeks.Round your answer to two decimal places. A) 1.51 words/min/week
B) 2.15 words/min/week
C) 2.51 words/min/week
D) 4.38 words/min/week
E) 5.04 words/min/week
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52
Write the logarithmic equation as an exponential equation.
A)
B)
C)
D)
E)
as an exponential equation. A)
B)
C)
D)
E)
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53
Sketch the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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54
Write the exponential equation as a logarithmic equation.
A)
B)
C)
D)
E)
as a logarithmic equation.A)
B)
C)
D)
E)
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55
Solve for the equation for
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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56
Future value.The future value that accrues when $700 is invested at 9%,compounded continuously,is ,where t is the number of years.At what rate is the money in this account growing when ?
A) $10.03 per year
B) $65.57 per year
C) $1,003.33 per year
D) $725.66 per year
E) $90.30 per year
,where t is the number of years.At what rate is the money in this account growing when ?A) $10.03 per year
B) $65.57 per year
C) $1,003.33 per year
D) $725.66 per year
E) $90.30 per year
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57
Use the properties of logarithms to expand
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
58
Sketch the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
59
A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 11.5.By a normal probability density function the data can be modeled as Find the derivative of the model.
A)
B)
C)
D)
E)
Find the derivative of the model. A)
B)
C)
D)
E)
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60
Use the properties of logarithms to write the expression as a single logarithm.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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61
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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62
Solve the following equation for x accurate to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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63
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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64
Solve the following equation for x accurate to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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65
Solve the exponential equation.Give the answer correct to 3 decimal places.
A) 0.675
B) 3.374
C) 7.410
D) 0.599
E) 14.979
A) 0.675
B) 3.374
C) 7.410
D) 0.599
E) 14.979
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66
Write the following expression as a logarithm of a single quantity.
A)
B)
C)
D)
E) none of the above
A)
B)
C)
D)
E) none of the above
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67
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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68
Find the derivative of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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69
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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70
Write the following expression as a logarithm of a single quantity.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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71
Solve the following equation for accurate to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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72
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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73
Find the derivative of the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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74
Solve the exponential equation.Give answers correct to 3 decimal places.
A) 343
B) 0.571
C) 0.712
D) 0.356
E) 0.805
A) 343
B) 0.571
C) 0.712
D) 0.356
E) 0.805
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Unlock Deck
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75
Write the expression as the logarithm of a single quantity.
A)
B)
C)
D)
E)
as the logarithm of a single quantity.A)
B)
C)
D)
E)
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76
Solve the exponential equation.Give the answer correct to 3 decimal places.
A) -2.993
B) -0.100
C) 2.182
D) -1.091
E) 5.986
A) -2.993
B) -0.100
C) 2.182
D) -1.091
E) 5.986
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77
Write the expression as the logarithm of a single quantity.
A)
B)
C)
D)
E)
as the logarithm of a single quantity.A)
B)
C)
D)
E)
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78
Solve for t.Round your answer to four decimal places.
A) 1.4454
B) 0.3611
C) 2.6344
D) 0.3614
E) 2.7184
for t.Round your answer to four decimal places. A) 1.4454
B) 0.3611
C) 2.6344
D) 0.3614
E) 2.7184
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79
Solve the exponential equation.Give the answer correct to 3 decimal places.
A) -0.219
B) 2.033
C) 0.274
D) -2.033
E) -0.224
A) -0.219
B) 2.033
C) 0.274
D) -2.033
E) -0.224
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80
How long (in years)would $800 have to be invested at an annual rate of 11%,compounded continuously,to amount to $1060? Round your answer to two decimal places.
A) 2.95 years
B) 2.70 years
C) 0.56 years
D) 3.38 years
E) 2.56 years
A) 2.95 years
B) 2.70 years
C) 0.56 years
D) 3.38 years
E) 2.56 years
Unlock Deck
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Unlock Deck
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Unlock Deck
Unlock for access to all 122 flashcards in this deck.
