Question 1

Use the graph of   given below to find the graph of the function   . ​   ​

Accepted Answer

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

Question 2

Sketch the line passing through the point   with the slope   . ​​

Accepted Answer

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

Question 3

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model   ,   where x is the diameter of the wire in mils (0.001 in).Use a graphing utility to graph the model   ,   . ​

Accepted Answer

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

Question 4

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 5

Find   if   . ​

Accepted Answer

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

Question 6

Use the graph of   given below to find the graph of the function   .

Accepted Answer

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

Question 7

Evaluate the function   at   . ​

Accepted Answer

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

Question 8

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).Write the volume V as a function of x,the length of the corner squares. ​     ​

Accepted Answer

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

Question 9

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 10

Determine whether y is a function of x.   y

Accepted Answer

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

Question 11

Use the functions   and   to find the function   . ​

Accepted Answer

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

Question 12

Let   .Then simplify the expression   . ​

Accepted Answer

A) 6 
B) 5 
C) 10 
D) 2 
E) undefined 
A) 6 
B) 5 
C) 10 
D) 2 
E) undefined

Question 13

Sketch the graph of the equation: ​   ​

Accepted Answer

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

Question 14

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 15

Find   if   . ​

Accepted Answer

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

Question 16

Find an equation of the line that passes through the points   and   . ​

Accepted Answer

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

Question 17

Write an equation of the line that passes through the point   and is parallel to the line   . ​

Accepted Answer

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

Question 18

Use the Horizontal Line Test to determine whether the following statement is true or false.
​
The function   is one-to-one on its entire domain and therefore has an inverse function.
​

Accepted Answer

A) True 
 B)False

Question 19

​Find the slope of the line passing through the pair of points. ​   ,   ​

Accepted Answer

A) ​   
B)    
C) ​   
D) ​   
E) ​0 
A) ​   
B)    
C) ​   
D) ​   
E) ​0

Question 20

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor. ​

Accepted Answer

A) 0 
B)    
C)    
D)    
E)    
A) 0 
B)    
C)    
D)    
E)

Use the graph of given below to find the graph of the function .

Sketch the line passing through the point with the slope .

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model , where x is the diameter of the wire in mils (0.001 in).Use a graphing utility to graph the model , .

Solve the following equation for x.

Find if .

Use the graph of given below to find the graph of the function .

Evaluate the function at .

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).Write the volume V as a function of x,the length of the corner squares.

Solve the following equation for x.

Determine whether y is a function of x. y

Use the functions and to find the function .

Let .Then simplify the expression .

Sketch the graph of the equation:

Solve the following equation for x.

Find if .

Find an equation of the line that passes through the points and .

Write an equation of the line that passes through the point and is parallel to the line .

Use the Horizontal Line Test to determine whether the following statement is true or false. The function is one-to-one on its entire domain and therefore has an inverse function.

Find the slope of the line passing through the pair of points. ,

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 1: Preparation for Calculus

Use the graph of given below to find the graph of the function . ​ ​

Sketch the line passing through the point with the slope . ​​

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model , where x is the diameter of the wire in mils (0.001 in).Use a graphing utility to graph the model , . ​

Solve the following equation for x. ​ ​

Find if . ​

Use the graph of given below to find the graph of the function .

Evaluate the function at . ​

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).Write the volume V as a function of x,the length of the corner squares. ​ ​

Solve the following equation for x. ​ ​

Determine whether y is a function of x. y

Use the functions and to find the function . ​

Let .Then simplify the expression . ​

Sketch the graph of the equation: ​ ​

Solve the following equation for x. ​ ​

Find if . ​

Find an equation of the line that passes through the points and . ​

Write an equation of the line that passes through the point and is parallel to the line . ​

Use the Horizontal Line Test to determine whether the following statement is true or false. ​ The function is one-to-one on its entire domain and therefore has an inverse function. ​

​Find the slope of the line passing through the pair of points. ​ , ​

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor. ​

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Use the graph of given below to find the graph of the function .

Sketch the line passing through the point with the slope .

The resistance y in ohms of 1,000 feet of solid metal wire at 77°F can be approximated by the model , where x is the diameter of the wire in mils (0.001 in).Use a graphing utility to graph the model , .

Solve the following equation for x.

Find if .

Evaluate the function at .

An open box of maximum volume is to be made from a square piece of material 16 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure).Write the volume V as a function of x,the length of the corner squares.

Solve the following equation for x.

Use the functions and to find the function .

Let .Then simplify the expression .

Sketch the graph of the equation:

Solve the following equation for x.

Find if .

Find an equation of the line that passes through the points and .

Write an equation of the line that passes through the point and is parallel to the line .

Use the Horizontal Line Test to determine whether the following statement is true or false. The function is one-to-one on its entire domain and therefore has an inverse function.

Find the slope of the line passing through the pair of points. ,

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor.