Question 1

Find the derivative of the function.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Sketch the graphs of the functions on the same axes.

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B)    
C)    
D)    
E)    
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B)    
C)    
D)    
E)

Question 3

Solve the equation for x.

Accepted Answer

A) x = 2 
B) x = 8 
C) x = 6 
D) x = 1 
A) x = 2 
B) x = 8 
C) x = 6 
D) x = 1

Question 4

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years.Round your answer to the nearest cent. P = $180,000, r = 8%, t = 4, compounded daily

Accepted Answer

A) A = $247,619.90 
B) A = $247,874.31 
C) A = $247,883.00 
D) A = $244,888.01 
A) A = $247,619.90 
B) A = $247,874.31 
C) A = $247,883.00 
D) A = $244,888.01

Question 5

Use the fact that log 7 = 0.8451 to find the value of the logarithm.

Accepted Answer

The answer of Use the fact that log 7 =...

Question 6

Determine the intervals where the function   is increasing.

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D)    
E)    
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B)    
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D)    
E)

Question 7

Use logarithms to solve the equation for t.Please round the answer to four decimal places.     __________

Accepted Answer

The answer of Use logarithms to solve the equation for...

Question 8

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth.
8% / year compounded monthly   __________ %
8% / year compounded daily   __________ %

Accepted Answer

The answer of Find the effective rate corresponding to the...

Question 9

Determine the intervals where the function   is decreasing.

Accepted Answer

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B)    
C)    
D)    
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B)    
C)    
D)

Question 10

Sketch the graphs of the given functions on the same axes.

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 11

The concentration of a drug in an organ at any time t (in seconds) is given by   where   is measured in grams/cubic centimeter   .How long would it take for the concentration of the drug in the organ to reach 0.18   ? Please round the answer to two decimal places.

Accepted Answer

A)    sec 
B)    sec 
C)    sec 
D)    sec 
E)    sec 
A)    sec 
B)    sec 
C)    sec 
D)    sec 
E)    sec

Question 12

An investor purchased a piece of waterfront property.Because of the development of a marina in the vicinity, the market value of the property is expected to increase according to the rule   where V(t) is measured in dollars and t is the time in years from the present.If the inflation rate is expected to be 9% compounded continuously for the next 8 years, what is P(t) expected to be in 4 years?

Accepted Answer

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D)    
E)    
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B)    
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D)    
E)

Question 13

Simplify the expression.

Accepted Answer

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C)    
D)    
A)    
B)    
C)    
D)

Question 14

The concentration of a drug in an organ at any time   (in seconds) is given by   where   is measured in grams/cubic centimeter   How long would it take for the concentration of the drug in the organ to reach 0.17   How long would it take for the concentration of the drug in the organ to reach 0.16   Round your answer to the nearest hundredth.

Accepted Answer

A) 17.31 seconds; 20.30 seconds 
B) 17.33 seconds; 20.27 seconds 
C) 17.36 seconds; 20.25 seconds 
D) 17.32 seconds; 20.31 seconds 
A) 17.31 seconds; 20.30 seconds 
B) 17.33 seconds; 20.27 seconds 
C) 17.36 seconds; 20.25 seconds 
D) 17.32 seconds; 20.31 seconds

Question 15

Express the equation in logarithmic form.

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
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D)

Question 16

The concentration of a drug in an organ at any time t (in seconds) is given by   where x(t) is measured in grams/cubic centimeter   . Select the graph of x.

Accepted Answer

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B)    
C)    
D)    
E)    
A)    
B)    
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D)    
E)

Question 17

A condominium complex was purchased by a group of private investors for $1.5 million and sold 5 year(s) later for $3.7 million.Find the annual rate of return (compounded continuously) on their investment.

Accepted Answer

A) 18.06% 
B) 18.47% 
C) 18.90% 
D) 18.19% 
A) 18.06% 
B) 18.47% 
C) 18.90% 
D) 18.19%

Question 18

Use logarithms to solve the equation for t.Round your answer to four decimal places.   t = __________

Accepted Answer

The answer of Use logarithms to solve the equation for...

Question 19

During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after t days was given by   .
How many children were stricken by the flu after the first day? Round your answer to the nearest integer.
__________ children
How many children had the flu after 10 days? Round your answer to the nearest integer.
__________ children
How many children eventually contracted the disease? Round your answer to the nearest integer.
__________ children

Accepted Answer

The answer of During a flu epidemic, the number of...

Question 20

Write the expression as the logarithm of a single quantity.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Find the derivative of the function.

Sketch the graphs of the functions on the same axes.

Solve the equation for x.

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years.Round your answer to the nearest cent. P = $180,000, r = 8%, t = 4, compounded daily

Use the fact that log 7 = 0.8451 to find the value of the logarithm.

Determine the intervals where the function is increasing.

Use logarithms to solve the equation for t.Please round the answer to four decimal places. __________

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth. 8% / year compounded monthly % 8% / year compounded daily %

Determine the intervals where the function is decreasing.

Sketch the graphs of the given functions on the same axes.

The concentration of a drug in an organ at any time t (in seconds) is given by where is measured in grams/cubic centimeter .How long would it take for the concentration of the drug in the organ to reach 0.18 ? Please round the answer to two decimal places.

Simplify the expression.

Express the equation in logarithmic form.

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter . Select the graph of x.

A condominium complex was purchased by a group of private investors for $1.5 million and sold 5 year(s) later for $3.7 million.Find the annual rate of return (compounded continuously) on their investment.

Use logarithms to solve the equation for t.Round your answer to four decimal places. t = __________

Write the expression as the logarithm of a single quantity.

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Exam 5: Exponential and Logarithmic Functions

Find the derivative of the function.

Sketch the graphs of the functions on the same axes.

Solve the equation for x.

Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years.Round your answer to the nearest cent. P = $180,000, r = 8%, t = 4, compounded daily

Use the fact that log 7 = 0.8451 to find the value of the logarithm.

Determine the intervals where the function is increasing.

Use logarithms to solve the equation for t.Please round the answer to four decimal places. __________

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth. 8% / year compounded monthly __________ % 8% / year compounded daily __________ %

Determine the intervals where the function is decreasing.

Sketch the graphs of the given functions on the same axes.

The concentration of a drug in an organ at any time t (in seconds) is given by where is measured in grams/cubic centimeter .How long would it take for the concentration of the drug in the organ to reach 0.18 ? Please round the answer to two decimal places.

Simplify the expression.

Express the equation in logarithmic form.

The concentration of a drug in an organ at any time t (in seconds) is given by where x(t) is measured in grams/cubic centimeter . Select the graph of x.

A condominium complex was purchased by a group of private investors for $1.5 million and sold 5 year(s) later for $3.7 million.Find the annual rate of return (compounded continuously) on their investment.

Use logarithms to solve the equation for t.Round your answer to four decimal places. t = __________

Write the expression as the logarithm of a single quantity.

Preliminaries

Functions, Limits and the Derivative

Differentiation

Applications of the Derivative

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Find the effective rate corresponding to the given nominal rate.Round your answers to the nearest thousandth. 8% / year compounded monthly % 8% / year compounded daily %