Question 1

Evaluate the integral.

Accepted Answer

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

Question 2

Assume that the function has an inverse, and, without solving for the inverse, find the indicated value.   ;

Accepted Answer

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

Question 3

Find the derivative of the function.

Accepted Answer

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

Question 4

Sketch the graph of the function.

Accepted Answer

The answer of Sketch the graph of the function. ...

Question 5

Find all extrema and inflection points.

Accepted Answer

A)  extremum at   inflection points at   
B)  extrema at   and   inflection points at   
C)  extremum at   no inflection points 
D)  extremum at   no inflection points 
A)  extremum at   inflection points at   
B)  extrema at   and   inflection points at   
C)  extremum at   no inflection points 
D)  extremum at   no inflection points

Question 6

Evaluate the integral.

Accepted Answer

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

Question 7

Suppose that a hanging cable has the shape   for   . Find the length of the cable.

Accepted Answer

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

Question 8

Find the derivative of   .

Accepted Answer

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

Question 9

Sketch a graph of the function.

Accepted Answer

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

Question 10

Evaluate the integral.

Accepted Answer

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

Question 11

Evaluate the limit.

Accepted Answer

A)  1 
B)  0 
C)    
D)  indeterminant 
A)  1 
B)  0 
C)    
D)  indeterminant

Question 12

Use the properties of logarithms to rewrite the expression as a single term.

Accepted Answer

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

Question 13

Use the properties of logarithms to rewrite the expression as a single term.

Accepted Answer

A)    
B)    
C)    
D)    ( = 0) 
A)    
B)    
C)    
D)    ( = 0)

Question 14

Determine if the function is one-to-one. If it is, then find its inverse and graph both the function and its inverse.

Accepted Answer

The functi

Question 15

Use Simpson's Rule with n = 4 to estimate ln 3. Round your answer to the nearest tenth.

Accepted Answer

A)  1.1 
B)  3.3 
C)  1.3 
D)  2.2 
A)  1.1 
B)  3.3 
C)  1.3 
D)  2.2

Question 16

Evaluate the integral.

Accepted Answer

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

Question 17

Find an equation of the tangent line for   at x = 2.

Accepted Answer

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

Question 18

Sketch the graph of

Accepted Answer

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

Question 19

Evaluate the integral.

Accepted Answer

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

Question 20

Find all solutions.

Accepted Answer

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

Evaluate the integral.

Assume that the function has an inverse, and, without solving for the inverse, find the indicated value. ;

Find the derivative of the function.

Sketch the graph of the function.

Find all extrema and inflection points.

Evaluate the integral.

Suppose that a hanging cable has the shape for . Find the length of the cable.

Find the derivative of .

Sketch a graph of the function.

Evaluate the integral.

Evaluate the limit.

Use the properties of logarithms to rewrite the expression as a single term.

Use the properties of logarithms to rewrite the expression as a single term.

Determine if the function is one-to-one. If it is, then find its inverse and graph both the function and its inverse.

Use Simpson's Rule with n = 4 to estimate ln 3. Round your answer to the nearest tenth.

Evaluate the integral.

Find an equation of the tangent line for at x = 2.

Sketch the graph of

Evaluate the integral.

Find all solutions.

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Exam 7: Exponentials, Logarithms and Other Transcendental Functions

Evaluate the integral.

Assume that the function has an inverse, and, without solving for the inverse, find the indicated value. ;

Find the derivative of the function.

Sketch the graph of the function.

Find all extrema and inflection points.

Evaluate the integral.

Suppose that a hanging cable has the shape for . Find the length of the cable.

Find the derivative of .

Sketch a graph of the function.

Evaluate the integral.

Evaluate the limit.

Use the properties of logarithms to rewrite the expression as a single term.

Use the properties of logarithms to rewrite the expression as a single term.

Determine if the function is one-to-one. If it is, then find its inverse and graph both the function and its inverse.

Use Simpson's Rule with n = 4 to estimate ln 3. Round your answer to the nearest tenth.

Evaluate the integral.

Find an equation of the tangent line for at x = 2.

Sketch the graph of

Evaluate the integral.

Find all solutions.

Preliminaries

Limits and Continuity

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters