Question 1

Sketch the graph of the function

Accepted Answer

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

Question 2

Evaluate without using a calculator. ​   ​

Accepted Answer

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

Question 3

Find an equation of the tangent line to the graph of the function at the given point. ​     ​

Accepted Answer

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

Question 4

Find the radian measure of the given angle. ​   ​

Accepted Answer

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

Question 5

The normal average daily temperature in degrees Fahrenheit for a city is given by   where t is the time in days,with   corresponding to January 1.Find the warmest day. ​

Accepted Answer

A)  March 16 
B)  March 14 
C)  April 16 
D)  April 15 
E)  April 14 
A)  March 16 
B)  March 14 
C)  April 16 
D)  April 15 
E)  April 14

Question 6

Find a and d for   such that the graph of f matches the figure. ​   ​

Accepted Answer

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

Question 7

Find the derivative of the function. ​   ​

Accepted Answer

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

Question 8

Evaluate without using a calculator,leaving the answers in exact form. ​   ​

Accepted Answer

A)    
B)    
C)  -1 
D)    
E)    
A)    
B)    
C)  -1 
D)    
E)

Question 9

Suppose that the numbers W (in thousands)of construction workers employed in the United States during 2006 can be modeled by   where t is the time in months,with   corresponding to January 1.Approximate the month t in which the number of construction workers employed was a maximum.What was the maximum number of construction workers employed? Round your answer to nearest whole number. ​

Accepted Answer

A)  May; The maximum number of construction workers employed is 9,059. 
B)  March; The maximum number of construction workers employed is 9,039. 
C)  April; The maximum number of construction workers employed is 9,039. 
D)  March; The maximum number of construction workers employed is 9,049. 
E)  April; The maximum number of construction workers employed is 9,049. 
A)  May; The maximum number of construction workers employed is 9,059. 
B)  March; The maximum number of construction workers employed is 9,039. 
C)  April; The maximum number of construction workers employed is 9,039. 
D)  March; The maximum number of construction workers employed is 9,049. 
E)  April; The maximum number of construction workers employed is 9,049.

Question 10

Determine the relative extrema of the function   on the interval   ​

Accepted Answer

A)  relative minimum:  
Relative maximum:   
B)  relative minimum:  
Relative maximum:   
C)  relative minimum:  
Relative maximum:   
D)  relative minimum:  
Relative maximum:   
E)  relative minimum:  
Relative maximum:   
A)  relative minimum:  
Relative maximum:   
B)  relative minimum:  
Relative maximum:   
C)  relative minimum:  
Relative maximum:   
D)  relative minimum:  
Relative maximum:   
E)  relative minimum:  
Relative maximum:

Question 11

Evaluate without using a calculator,leaving the answers in exact form. ​   ​

Accepted Answer

A)    
B)    
C)  0 
D)  -1 
E)    
A)    
B)    
C)  0 
D)  -1 
E)

Question 12

Find the cosine of θ. ​   ​   ​

Accepted Answer

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

Question 13

Find the indefinite integral of the following function. ​   ​

Accepted Answer

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

Question 14

Find the degree measure of the given angle.Round to the nearest tenth. ​   ​​

Accepted Answer

A)  ​80.0° 
B)  160.0​° 
C)  165.0°​ 
D)  202.5° 
E)  170.0​° 
A)  ​80.0° 
B)  160.0​° 
C)  165.0°​ 
D)  202.5° 
E)  170.0​°

Question 15

Find the indefinite integral of   ​

Accepted Answer

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

Question 16

Solve the triangle for the indicated angle. ​   ​
​   ​

Accepted Answer

A)  ​angle θ: 53​° 
B)  ​​angle θ: 42° 
C)  ​​angle θ:​ 56° 
D)  ​​angle θ:​ 37° 
E)  ​​angle θ:​ 27° 
A)  ​angle θ: 53​° 
B)  ​​angle θ: 42° 
C)  ​​angle θ:​ 56° 
D)  ​​angle θ:​ 37° 
E)  ​​angle θ:​ 27°

Question 17

Find the period and amplitude of the function   ​   ​

Accepted Answer

A)  period:   ; amplitude:   
B)  period:   ; amplitude: 3 
C)  period:   ; amplitude: 3 
D)  period:   ; amplitude: 6 
E)  period:   ; amplitude: 3 
A)  period:   ; amplitude:   
B)  period:   ; amplitude: 3 
C)  period:   ; amplitude: 3 
D)  period:   ; amplitude: 6 
E)  period:   ; amplitude: 3

Question 18

Match the function below with the correct graph. ​   ​

Accepted Answer

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

Question 19

The average monthly precipitation P (in inches),including rain,snow,and ice,for Sacramento,California can be modeled by ​   ,   ​
Where t is the time (in months),with   corresponding to January.Find the total annual precipitation for Sacramento.
​

Accepted Answer

A)  18.02 in. 
B)  17.69 in. 
C)  14.52 in. 
D)  16.57 in. 
E)  18.90 in. 
A)  18.02 in. 
B)  17.69 in. 
C)  14.52 in. 
D)  16.57 in. 
E)  18.90 in.

Question 20

Find the indefinite integral of   ​

Accepted Answer

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

Sketch the graph of the function

Evaluate without using a calculator.

Find an equation of the tangent line to the graph of the function at the given point.

Find the radian measure of the given angle.

The normal average daily temperature in degrees Fahrenheit for a city is given by where t is the time in days,with corresponding to January 1.Find the warmest day.

Find a and d for such that the graph of f matches the figure.

Find the derivative of the function.

Evaluate without using a calculator,leaving the answers in exact form.

Determine the relative extrema of the function on the interval

Evaluate without using a calculator,leaving the answers in exact form.

Find the cosine of θ.

Find the indefinite integral of the following function.

Find the degree measure of the given angle.Round to the nearest tenth.

Find the indefinite integral of

Solve the triangle for the indicated angle.

Find the period and amplitude of the function

Match the function below with the correct graph.

The average monthly precipitation P (in inches),including rain,snow,and ice,for Sacramento,California can be modeled by , Where t is the time (in months),with corresponding to January.Find the total annual precipitation for Sacramento.

Find the indefinite integral of

Functions, graphs, and Limits

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration and Its Applications

Techniques of Integration

Functions of Several Variables

Probability and Calculus

Series and Taylor Polynomials

Differential Equations

Filters

Exam 8: Trigonometric Functions

Sketch the graph of the function

Evaluate without using a calculator. ​ ​

Find an equation of the tangent line to the graph of the function at the given point. ​ ​

Find the radian measure of the given angle. ​ ​

The normal average daily temperature in degrees Fahrenheit for a city is given by where t is the time in days,with corresponding to January 1.Find the warmest day. ​

Find a and d for such that the graph of f matches the figure. ​ ​

Find the derivative of the function. ​ ​

Evaluate without using a calculator,leaving the answers in exact form. ​ ​

Determine the relative extrema of the function on the interval ​

Evaluate without using a calculator,leaving the answers in exact form. ​ ​

Find the cosine of θ. ​ ​ ​

Find the indefinite integral of the following function. ​ ​

Find the degree measure of the given angle.Round to the nearest tenth. ​ ​​

Find the indefinite integral of ​

Solve the triangle for the indicated angle. ​ ​ ​ ​

Find the period and amplitude of the function ​ ​

Match the function below with the correct graph. ​ ​

The average monthly precipitation P (in inches),including rain,snow,and ice,for Sacramento,California can be modeled by ​ , ​ Where t is the time (in months),with corresponding to January.Find the total annual precipitation for Sacramento. ​

Find the indefinite integral of ​

Functions, graphs, and Limits

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration and Its Applications

Techniques of Integration

Functions of Several Variables

Probability and Calculus

Series and Taylor Polynomials

Differential Equations

Filters

Evaluate without using a calculator.

Find an equation of the tangent line to the graph of the function at the given point.

Find the radian measure of the given angle.

The normal average daily temperature in degrees Fahrenheit for a city is given by where t is the time in days,with corresponding to January 1.Find the warmest day.

Find a and d for such that the graph of f matches the figure.

Find the derivative of the function.

Evaluate without using a calculator,leaving the answers in exact form.

Determine the relative extrema of the function on the interval

Evaluate without using a calculator,leaving the answers in exact form.

Find the cosine of θ.

Find the indefinite integral of the following function.

Find the degree measure of the given angle.Round to the nearest tenth.

Find the indefinite integral of

Solve the triangle for the indicated angle.

Find the period and amplitude of the function

Match the function below with the correct graph.

The average monthly precipitation P (in inches),including rain,snow,and ice,for Sacramento,California can be modeled by , Where t is the time (in months),with corresponding to January.Find the total annual precipitation for Sacramento.

Find the indefinite integral of