Question 1

Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally

Accepted Answer

A)  y is a function of x 
B)  y is not a function of x 
A)  y is a function of x 
B)  y is not a function of x

Question 2

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)  no real zeros 
A)    
B)    
C)    
D)  no real zeros

Question 3

Determine if the two lines are parallel, perpendicular, or neither.   and

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  neither 
A)  parallel 
B)  perpendicular 
C)  neither

Question 4

Use the vertical line test to determine whether or not the graph is a function.

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 5

Graph the following function and describe all extrema. Round answers to the nearest thousandth.

Accepted Answer

A)    No minimum nor maximum occurs. 
B)    A minimum occurs at   .
No maximum occurs. 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    No minimum nor maximum occurs. 
A)    No minimum nor maximum occurs. 
B)    A minimum occurs at   .
No maximum occurs. 
C)    A minimum occurs at   .
A maximum occurs at   . 
D)    No minimum nor maximum occurs.

Question 6

Find an equation of the line through the point   and perpendicular to the line   .

Accepted Answer

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

Question 7

Find the domain of the function.

Accepted Answer

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

Question 8

Find the domain of the function.

Accepted Answer

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

Question 9

Rewrite as a single logarithm and simplify, if possible.

Accepted Answer

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

Question 10

Determine the value of   . Round your answer to two decimal places.

Accepted Answer

A)  9.50 
B)  0.11 
C)  5.25 
D)  undefined 
A)  9.50 
B)  0.11 
C)  5.25 
D)  undefined

Question 11

Solve for x.

Accepted Answer

A)    and   
B)    
C)    
D)  no solution 
A)    and   
B)    
C)    
D)  no solution

Question 12

Solve the equation for x.

Accepted Answer

A)    
B)    
C)      
D)  no solution 
A)    
B)    
C)      
D)  no solution

Question 13

Convert   radians to degrees. Round answer to the nearest tenth of a degree.

Accepted Answer

A)  331.4   
B)  343.8   
C)  411.3   
D)  433.0   
A)  331.4   
B)  343.8   
C)  411.3   
D)  433.0

Question 14

Sketch a graph of the function.

Accepted Answer

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

Question 15

Simplify the expression

Accepted Answer

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

Question 16

A child's height h (in inches) closely resembles a linear function in terms of the child's age a (in years) if the child is between the ages of 5 and 10. The height of a certain youngster is 44 inches when the child is age 5, and 55 inches at age 7. Determine the height of a child when he is 10 years old.

Accepted Answer

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

Question 17

Determine if   is periodic, and if so, find the smallest (fundamental) period.

Accepted Answer

A)    
B)    
C)    
D)  The function is not periodic. 
A)    
B)    
C)    
D)  The function is not periodic.

Question 18

Find the composition   , then determine its domain.   and

Accepted Answer

A)    domain of   
B)    domain of   
C)    domain of   
D)    domain of   
A)    domain of   
B)    domain of   
C)    domain of   
D)    domain of

Question 19

Find all solutions of   .

Accepted Answer

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

Question 20

An observer, standing on level ground, 115 feet from the bottom of a tower, looks at the top of the tower and notices that his angle of elevation is 0.5 radians. Estimate the height, h, of the tower, rounding your answer to the nearest tenth.

Accepted Answer

A)  h = 62.8 feet 
B)  h = 75.3 feet 
C)  h = 81.1 feet 
D)  h = 86.9 feet 
A)  h = 62.8 feet 
B)  h = 75.3 feet 
C)  h = 81.1 feet 
D)  h = 86.9 feet

Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Determine if the two lines are parallel, perpendicular, or neither. and

Use the vertical line test to determine whether or not the graph is a function.

Graph the following function and describe all extrema. Round answers to the nearest thousandth.

Find an equation of the line through the point and perpendicular to the line .

Find the domain of the function.

Find the domain of the function.

Rewrite as a single logarithm and simplify, if possible.

Determine the value of . Round your answer to two decimal places.

Solve for x.

Solve the equation for x.

Convert radians to degrees. Round answer to the nearest tenth of a degree.

Sketch a graph of the function.

Simplify the expression

Determine if is periodic, and if so, find the smallest (fundamental) period.

Find the composition , then determine its domain. and

Find all solutions of .

An observer, standing on level ground, 115 feet from the bottom of a tower, looks at the top of the tower and notices that his angle of elevation is 0.5 radians. Estimate the height, h, of the tower, rounding your answer to the nearest tenth.

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 1: Preliminaries

Decide whether y is a function of x. y = how far an object lands from the base of a building, x = the velocity with which the object is thrown horizontally

Use a graphing utility to estimate all zeros. Round answers to the nearest hundredth.

Determine if the two lines are parallel, perpendicular, or neither. and

Use the vertical line test to determine whether or not the graph is a function.

Graph the following function and describe all extrema. Round answers to the nearest thousandth.

Find an equation of the line through the point and perpendicular to the line .

Find the domain of the function.

Find the domain of the function.

Rewrite as a single logarithm and simplify, if possible.

Determine the value of . Round your answer to two decimal places.

Solve for x.

Solve the equation for x.

Convert radians to degrees. Round answer to the nearest tenth of a degree.

Sketch a graph of the function.

Simplify the expression

Determine if is periodic, and if so, find the smallest (fundamental) period.

Find the composition , then determine its domain. and

Find all solutions of .

An observer, standing on level ground, 115 feet from the bottom of a tower, looks at the top of the tower and notices that his angle of elevation is 0.5 radians. Estimate the height, h, of the tower, rounding your answer to the nearest tenth.

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