Question 1

Decide whether the function described has an inverse. The length of the shadow of a flagpole from noon to dusk.

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 2

Evaluate the integral.

Accepted Answer

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

Question 3

Evaluate the integral.

Accepted Answer

A)  esinh 4 
B)  esinh 4 - 1 
C)  -esinh 4 - 1 
D)  -esinh 4 
A)  esinh 4 
B)  esinh 4 - 1 
C)  -esinh 4 - 1 
D)  -esinh 4

Question 4

Graph the function. [It may be helpful to find the intervals on which the function is increasing and decreasing, concave up and concave down.]

Accepted Answer

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

Question 5

Find the derivative of   .

Accepted Answer

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

Question 6

Evaluate the integral.

Accepted Answer

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

Question 7

A flywheel of radius r is driven by a reciprocating shaft S and a linking arm L (see figure below).   If x represents the displacement of the shaft from its leftmost position, then the angle   between the linking arm and the centerline of the shaft is   . Find the maximum value of   .

Accepted Answer

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

Question 8

Evaluate the integral.

Accepted Answer

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

Question 9

Use the given graph to sketch the inverse function.

Accepted Answer

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

Question 10

Sketch the graph of the function.

Accepted Answer

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

Question 11

Show that   and   for all x. Show all work.   and   ;

Accepted Answer

The answer of Show that   and  ...

Question 12

Find the derivative of the given function.

Accepted Answer

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

Question 13

Find the derivative of the function.

Accepted Answer

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

Question 14

Express the number as an integral.

Accepted Answer

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

Question 15

Evaluate the integral.

Accepted Answer

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

Question 16

Evaluate the integral.

Accepted Answer

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

Question 17

Decide whether the function described has an inverse. The weight of a package dependent upon the amount of postage bought.

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 18

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

Accepted Answer

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

Question 19

Use a triangle to simplify the expression.

Accepted Answer

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

Question 20

Find the derivative of   .

Accepted Answer

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

Decide whether the function described has an inverse. The length of the shadow of a flagpole from noon to dusk.

Evaluate the integral.

Evaluate the integral.

Graph the function. [It may be helpful to find the intervals on which the function is increasing and decreasing, concave up and concave down.]

Find the derivative of .

Evaluate the integral.

A flywheel of radius r is driven by a reciprocating shaft S and a linking arm L (see figure below). If x represents the displacement of the shaft from its leftmost position, then the angle between the linking arm and the centerline of the shaft is . Find the maximum value of .

Evaluate the integral.

Use the given graph to sketch the inverse function.

Sketch the graph of the function.

Show that and for all x. Show all work. and ;

Find the derivative of the given function.

Find the derivative of the function.

Express the number as an integral.

Evaluate the integral.

Evaluate the integral.

Decide whether the function described has an inverse. The weight of a package dependent upon the amount of postage bought.

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

Use a triangle to simplify the expression.

Find the derivative of .

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

Decide whether the function described has an inverse. The length of the shadow of a flagpole from noon to dusk.

Evaluate the integral.

Evaluate the integral.

Graph the function. [It may be helpful to find the intervals on which the function is increasing and decreasing, concave up and concave down.]

Find the derivative of .

Evaluate the integral.

A flywheel of radius r is driven by a reciprocating shaft S and a linking arm L (see figure below). If x represents the displacement of the shaft from its leftmost position, then the angle between the linking arm and the centerline of the shaft is . Find the maximum value of .

Evaluate the integral.

Use the given graph to sketch the inverse function.

Sketch the graph of the function.

Show that and for all x. Show all work. and ;

Find the derivative of the given function.

Find the derivative of the function.

Express the number as an integral.

Evaluate the integral.

Evaluate the integral.

Decide whether the function described has an inverse. The weight of a package dependent upon the amount of postage bought.

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

Use a triangle to simplify the expression.

Find the derivative of .

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