Question 1

Find the area of the region bounded by the graphs of the algebraic functions.

Accepted Answer

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

Question 2

Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).Find the area of the face of the
Section superimposed on the rectangular coordinate system.Round your answer to three decimal
Places.

Accepted Answer

A) 25.031   
B) 31.075   
C) 29.151   
D) 30.515   
E) 28.031   
A) 25.031   
B) 31.075   
C) 29.151   
D) 30.515   
E) 28.031

Question 3

Suppose that   model the revenue (in billions of dollars) for a large corporation.The model   gives projected annual revenues from 2008 through
2015, with   corresponding to 2008, and   gives projected revenues if there is a decrease in the
Rate of growth of corporate sales over the period.Approximate the total reduction in revenue if
Corporate sales are actually closer to the model   Round your answer to three decimal places.

Accepted Answer

A) $3.570 billion 
B) $24.990 billion 
C) $19.763 billion 
D) $29.645 billion 
E) $12.495 billion 
A) $3.570 billion 
B) $24.990 billion 
C) $19.763 billion 
D) $29.645 billion 
E) $12.495 billion

Question 4

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Accepted Answer

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

Question 5

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Accepted Answer

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

Question 6

Find the area of the region bounded by the equations by integrating (i) with respect to x and
(ii) with respect to y.

Accepted Answer

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

Question 7

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by   in the first quadrant about the -axis.

Accepted Answer

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

Question 8

Find the area of the region bounded by the graphs of the equations.

Accepted Answer

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

Question 9

Find the area of the region bounded by the graphs of the algebraic functions.

Accepted Answer

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

Question 10

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by   about the -axis.

Accepted Answer

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

Question 11

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

Accepted Answer

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

Question 12

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

Accepted Answer

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

Question 13

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Accepted Answer

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

Question 14

Find the area of the region bounded by the graphs of the function   Round your answer to three decimal places.

Accepted Answer

A) 20.723 
B) 11.182 
C) 6.238 
D) 10.362 
E) 22.364 
A) 20.723 
B) 11.182 
C) 6.238 
D) 10.362 
E) 22.364

Question 15

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations   axis.Round your
Answer to four decimal places.

Accepted Answer

A) 5.3098 
B) 12.2824 
C) 20.6444 
D) 15.9387 
E) 37.9232 
A) 5.3098 
B) 12.2824 
C) 20.6444 
D) 15.9387 
E) 37.9232

Find the area of the region bounded by the graphs of the algebraic functions.

Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).Find the area of the face of the Section superimposed on the rectangular coordinate system.Round your answer to three decimal Places.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Find the area of the region bounded by the equations by integrating (i) with respect to x and (ii) with respect to y.

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by in the first quadrant about the -axis.

Find the area of the region bounded by the graphs of the equations.

Find the area of the region bounded by the graphs of the algebraic functions.

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by about the -axis.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Find the area of the region bounded by the graphs of the function Round your answer to three decimal places.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations axis.Round your Answer to four decimal places.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

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 7: Applications of Integration

Find the area of the region bounded by the graphs of the algebraic functions.

Concrete sections for the new building have the dimensions (in meters) and shape as shown in the figure (the picture is not necessarily drawn to scale).Find the area of the face of the Section superimposed on the rectangular coordinate system.Round your answer to three decimal Places.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Find the area of the region bounded by the equations by integrating (i) with respect to x and (ii) with respect to y.

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by in the first quadrant about the -axis.

Find the area of the region bounded by the graphs of the equations.

Find the area of the region bounded by the graphs of the algebraic functions.

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by about the -axis.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

Find the area of the region bounded by the graphs of the function Round your answer to three decimal places.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations axis.Round your Answer to four decimal places.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

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