Question 1

Find the area of the region given below bounded by the graph of

Accepted Answer

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

Question 2

Use implicit differentiation to find

Accepted Answer

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

Question 3

Suppose the table below shows the temperature   at which a given liquid boils at selected pressures p (pounds per square inch).A model that approximates the data is   Use a graphing utility to graph

Accepted Answer

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

Question 4

Find the indefinite integral

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D)    
E)    
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E)

Question 5

Find the slope-intercept equation of the line tangent to the graph of   when

Accepted Answer

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

Question 6

Suppose a population of bacteria is changing at a rate of   where t is the time in days.The initial population (when t = 0) is 1,500.Identify an equation that gives the
Population at any time t and use it to find the population when   days.Round your answer to the
Nearest integer.

Accepted Answer

A) 12,783 
B) 11,525 
C) 13,533 
D) 10,772 
E) 11,522 
A) 12,783 
B) 11,525 
C) 13,533 
D) 10,772 
E) 11,522

Question 7

Find

Accepted Answer

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

Question 8

Write the following expression as a logarithm of a single quantity.

Accepted Answer

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

Question 9

Use implicit differentiation to find

Accepted Answer

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

Question 10

Find the indefinite integral.

Accepted Answer

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

Question 11

Find the area of the region bounded by the graphs of the equations   Round your answer to four decimal places.

Accepted Answer

A) 13.6566 
B) 12.3178 
C) 12.6566 
D) 11.3178 
E) 12.7041 
A) 13.6566 
B) 12.3178 
C) 12.6566 
D) 11.3178 
E) 12.7041

Question 12

Find the indefinite integral of

Accepted Answer

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

Question 13

Suppose the term of a mortgage t (in years) can be approximated by   where x is the monthly payment in dollars.Find
The instantaneous rate of change of t with respect to x when   Round your answer to four
Decimal places.

Accepted Answer

A) 0.0044 
B) -0.1619 
C) 0.0619 
D) -0.0619 
E) -0.0044 
A) 0.0044 
B) -0.1619 
C) 0.0619 
D) -0.0619 
E) -0.0044

Question 14

Find the following limit if it exists:   Use   when appropriate.

Accepted Answer

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

Question 15

Find the solution of the differential equation   which passes through the point

Accepted Answer

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

Question 16

Locate any relative extrema and inflection points of the function   Use a graphing utility to confirm your results.

Accepted Answer

A) relative minimum value:   no inflection points 
B) relative minimum value:   inflection point:   
C) relative maximum value:   inflection point:   
D) relative minimum value:   no inflection points 
E) relative maximum value:   no inflection points 
A) relative minimum value:   no inflection points 
B) relative minimum value:   inflection point:   
C) relative maximum value:   inflection point:   
D) relative minimum value:   no inflection points 
E) relative maximum value:   no inflection points

Question 17

Find

Accepted Answer

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

Question 18

Determine the x-coordinate(s) of any relative extrema and inflection points of the function

Accepted Answer

A)    relative minimum: no inflection points 
B) relative maximum   ; inflection point:   
C) no relative maximum or minimum; inflection point:   
D) no relative extrema or inflection points. 
E)    relative minimum:   inflection point: 
A)    relative minimum: no inflection points 
B) relative maximum   ; inflection point:   
C) no relative maximum or minimum; inflection point:   
D) no relative extrema or inflection points. 
E)    relative minimum:   inflection point:

Question 19

Differentiate the function

Accepted Answer

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

Question 20

Suppose the term of a mortgage t (in years) can be approximated by   where x is the monthly payment in dollars.Use
The model to approximate the term of a home mortgage for which the monthly payment is   What is the total amount paid? Round your answer to the nearest cent.Your answer may be slightly
Different depending on the number of digits your technology uses in computations.

Accepted Answer

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

Find the area of the region given below bounded by the graph of

Use implicit differentiation to find

Suppose the table below shows the temperature at which a given liquid boils at selected pressures p (pounds per square inch).A model that approximates the data is Use a graphing utility to graph

Find the indefinite integral

Find the slope-intercept equation of the line tangent to the graph of when

Suppose a population of bacteria is changing at a rate of where t is the time in days.The initial population (when t = 0) is 1,500.Identify an equation that gives the Population at any time t and use it to find the population when days.Round your answer to the Nearest integer.

Find

Write the following expression as a logarithm of a single quantity.

Use implicit differentiation to find

Find the indefinite integral.

Find the area of the region bounded by the graphs of the equations Round your answer to four decimal places.

Find the indefinite integral of

Suppose the term of a mortgage t (in years) can be approximated by where x is the monthly payment in dollars.Find The instantaneous rate of change of t with respect to x when Round your answer to four Decimal places.

Find the following limit if it exists: Use when appropriate.

Find the solution of the differential equation which passes through the point

Locate any relative extrema and inflection points of the function Use a graphing utility to confirm your results.

Find

Determine the x-coordinate(s) of any relative extrema and inflection points of the function

Differentiate the function

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

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Exam 5: Logarithmic, Exponential, and Other Transcendental Functions

Find the area of the region given below bounded by the graph of

Use implicit differentiation to find

Suppose the table below shows the temperature at which a given liquid boils at selected pressures p (pounds per square inch).A model that approximates the data is Use a graphing utility to graph

Find the indefinite integral

Find the slope-intercept equation of the line tangent to the graph of when

Suppose a population of bacteria is changing at a rate of where t is the time in days.The initial population (when t = 0) is 1,500.Identify an equation that gives the Population at any time t and use it to find the population when days.Round your answer to the Nearest integer.

Find

Write the following expression as a logarithm of a single quantity.

Use implicit differentiation to find

Find the indefinite integral.

Find the area of the region bounded by the graphs of the equations Round your answer to four decimal places.

Find the indefinite integral of

Suppose the term of a mortgage t (in years) can be approximated by where x is the monthly payment in dollars.Find The instantaneous rate of change of t with respect to x when Round your answer to four Decimal places.

Find the following limit if it exists: Use when appropriate.

Find the solution of the differential equation which passes through the point

Locate any relative extrema and inflection points of the function Use a graphing utility to confirm your results.

Find

Determine the x-coordinate(s) of any relative extrema and inflection points of the function

Differentiate the function

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters