Question 1

Evaluate (if possible) the function   at   . Simplify the result. ​

Accepted Answer

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

Question 2

The horsepower H required to overcome wind drag on a certain automobile is approximated by H(x) = 0.004x2 + 0.002x - 0.026, 10 ≤ x ≤ 100, where x is the speed of the car in miles per hour. Find   . Round the numerical values in your answer to five decimal places. ​

Accepted Answer

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

Question 3

Evaluate the six trigonometric functions of the angle   . ​   ​

Accepted Answer

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

Question 4

Sketch the graph of the equation: ​   ​

Accepted Answer

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

Question 5

Solve the following equation for x. ​   ​

Accepted Answer

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

Question 6

Evaluate the sine, cosine, and tangent of the angle. Do not use a calculator. ​   ​

Accepted Answer

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

Question 7

Write the following expression in algebraic form. ​   ​

Accepted Answer

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

Question 8

If a line has slope   and passes through the point   , through which of the following points does the line also pass? ​

Accepted Answer

A)  (3, 12) 
B)  (3, 5) 
C)  (3, -12) 
D)  (7, -15) 
E)  (7, -28) 
A)  (3, 12) 
B)  (3, 5) 
C)  (3, -12) 
D)  (7, -15) 
E)  (7, -28)

Question 9

Determine whether y is a function of x. y - 4x2 = 3

Accepted Answer

A) True 
 B)False

Question 10

Solve the equation for   , where   . ​   ​

Accepted Answer

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

Question 11

Convert the degree measure to radian measure as a multiple of   and as a decimal accurate to three decimal places. ​   ​

Accepted Answer

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

Question 12

Match the graph of the function given below with the graph of its inverse function. ​   ​

Accepted Answer

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

Question 13

Find an equation of the line that passes through the point   and has the slope   . ​

Accepted Answer

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

Question 14

Determine the quadrant in which   lies. ​   and   ​

Accepted Answer

A)  IV Quadrant 
B)  II Quadrant 
C)  I Quadrant 
D)  III Quadrant 
A)  IV Quadrant 
B)  II Quadrant 
C)  I Quadrant 
D)  III Quadrant

Question 15

Solve the following equation for   . ​   ​

Accepted Answer

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

Question 16

Find an equation of the line through the points of intersection of   and   . ​

Accepted Answer

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

Question 17

Let   . Evaluate the expression   and then simplify the result. ​   ​

Accepted Answer

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

Question 18

Estimate the slope of the line from the graph. ​   ​

Accepted Answer

A)    
B)  6 
C)  3 
D)    
E)    
A)    
B)  6 
C)  3 
D)    
E)

Question 19

The function   is one-to-one on its entire domain.
​

Accepted Answer

A) True 
 B)False

Question 20

A moving conveyor is built to rise 1 meter for every 7 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter. ​

Accepted Answer

A)  81 meters 
B)  59 meters 
C)  71 meters 
D)  70 meters 
E)  61 meters 
A)  81 meters 
B)  59 meters 
C)  71 meters 
D)  70 meters 
E)  61 meters

Evaluate (if possible) the function at . Simplify the result.

The horsepower H required to overcome wind drag on a certain automobile is approximated by H(x) = 0.004x² + 0.002x - 0.026, 10 ≤ x ≤ 100, where x is the speed of the car in miles per hour. Find . Round the numerical values in your answer to five decimal places.

Evaluate the six trigonometric functions of the angle .

Sketch the graph of the equation:

Solve the following equation for x.

Evaluate the sine, cosine, and tangent of the angle. Do not use a calculator.

Write the following expression in algebraic form.

If a line has slope and passes through the point , through which of the following points does the line also pass?

Determine whether y is a function of x. y - 4x² = 3

Solve the equation for , where .

Convert the degree measure to radian measure as a multiple of and as a decimal accurate to three decimal places.

Match the graph of the function given below with the graph of its inverse function.

Find an equation of the line that passes through the point and has the slope .

Determine the quadrant in which lies. and

Solve the following equation for .

Find an equation of the line through the points of intersection of and .

Let . Evaluate the expression and then simplify the result.

Estimate the slope of the line from the graph.

The function is one-to-one on its entire domain.

A moving conveyor is built to rise 1 meter for every 7 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques 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 Anal

Filters

Exam 1: Preparation for Calculus

Evaluate (if possible) the function at . Simplify the result. ​

The horsepower H required to overcome wind drag on a certain automobile is approximated by H(x) = 0.004x2 + 0.002x - 0.026, 10 ≤ x ≤ 100, where x is the speed of the car in miles per hour. Find . Round the numerical values in your answer to five decimal places. ​

Evaluate the six trigonometric functions of the angle . ​ ​

Sketch the graph of the equation: ​ ​

Solve the following equation for x. ​ ​

Evaluate the sine, cosine, and tangent of the angle. Do not use a calculator. ​ ​

Write the following expression in algebraic form. ​ ​

If a line has slope and passes through the point , through which of the following points does the line also pass? ​

Determine whether y is a function of x. y - 4x2 = 3

Solve the equation for , where . ​ ​

Convert the degree measure to radian measure as a multiple of and as a decimal accurate to three decimal places. ​ ​

Match the graph of the function given below with the graph of its inverse function. ​ ​

Find an equation of the line that passes through the point and has the slope . ​

Determine the quadrant in which lies. ​ and ​

Solve the following equation for . ​ ​

Find an equation of the line through the points of intersection of and . ​

Let . Evaluate the expression and then simplify the result. ​ ​

Estimate the slope of the line from the graph. ​ ​

The function is one-to-one on its entire domain. ​

A moving conveyor is built to rise 1 meter for every 7 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter. ​

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques 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 Anal

Filters

Evaluate (if possible) the function at . Simplify the result.

The horsepower H required to overcome wind drag on a certain automobile is approximated by H(x) = 0.004x² + 0.002x - 0.026, 10 ≤ x ≤ 100, where x is the speed of the car in miles per hour. Find . Round the numerical values in your answer to five decimal places.

Evaluate the six trigonometric functions of the angle .

Sketch the graph of the equation:

Solve the following equation for x.

Evaluate the sine, cosine, and tangent of the angle. Do not use a calculator.

Write the following expression in algebraic form.

If a line has slope and passes through the point , through which of the following points does the line also pass?

Determine whether y is a function of x. y - 4x² = 3

Solve the equation for , where .

Convert the degree measure to radian measure as a multiple of and as a decimal accurate to three decimal places.

Match the graph of the function given below with the graph of its inverse function.

Find an equation of the line that passes through the point and has the slope .

Determine the quadrant in which lies. and

Solve the following equation for .

Find an equation of the line through the points of intersection of and .

Let . Evaluate the expression and then simplify the result.

Estimate the slope of the line from the graph.

The function is one-to-one on its entire domain.

A moving conveyor is built to rise 1 meter for every 7 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter.