Question 1

Provide an appropriate response.
-Find

Accepted Answer

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

Question 2

Solve the problem.
-A company is planning to manufacture a new blender. After conducting extensive market surveys, the research department estimates a weekly demand of 600 blenders at a price of $50 per blender and a weekly demand of
800 blenders at a price of $40 per blender. Assuming the demand equation is linear, use the research
Department's estimates to find the revenue equation in terms of the demand x.

Accepted Answer

A)  R(x) = 80x - 20 
B)    
C)    
D)    
A)  R(x) = 80x - 20 
B)    
C)    
D)

Question 3

Provide an appropriate response.
-Find:

Accepted Answer

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

Question 4

Find dy.
-

Accepted Answer

A)  14x + 6 dx 
B)  14x dx 
C)  14x + 3 dx 
D)  (14x + 3) dx 
A)  14x + 6 dx 
B)  14x dx 
C)  14x + 3 dx 
D)  (14x + 3) dx

Question 5

Sketch a possible graph of a function that satisfies the given conditions.
-f(0) = 6;

Accepted Answer

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

Question 6

Use the definition   to find the derivative at x.
-

Accepted Answer

A)    
B)  6 - 12x 
C)  -12x 
D)  6 - 6x 
A)    
B)  6 - 12x 
C)  -12x 
D)  6 - 6x

Question 7

Provide an appropriate response.
-Find the slope of the graph   at the point (1, 2).

Accepted Answer

A)  -1 
B)  -2 
C)  2 
D)  1 
A)  -1 
B)  -2 
C)  2 
D)  1

Question 8

Find average rate of change for the function over the given interval.
-  between x = -9 and x = -4

Accepted Answer

A)    
B)  730 
C)    
D)    
A)    
B)  730 
C)    
D)

Question 9

Find the limit, if it exists.
-Find:

Accepted Answer

A)  0 
B)  -1 
C)  1 
D)  Does not exist 
A)  0 
B)  -1 
C)  1 
D)  Does not exist

Question 10

Find average rate of change for the function over the given interval.
-  between x = 4 and x = 8

Accepted Answer

A)  9 
B)  18 
C)  14 
D)  28 
A)  9 
B)  18 
C)  14 
D)  28

Question 11

Use the given graph to find the indicated limit.
-

Accepted Answer

A)    
B)  3 
C)    
D)  0 
A)    
B)  3 
C)    
D)  0

Question 12

Find the limit, if it exists.
-Find:

Accepted Answer

A)    
B)    
C)  0 
D)  Does not exist 
A)    
B)    
C)  0 
D)  Does not exist

Question 13

Find the limit.
-Determine the limit.

Accepted Answer

A)    
B)    
C)  -2 
D)  5 
A)    
B)    
C)  -2 
D)  5

Question 14

Find the limit, if it exists.
-Find:

Accepted Answer

A)    
B)  -11 
C)  1 
D)    
A)    
B)  -11 
C)  1 
D)

Question 15

Provide an appropriate response.
-Find the vertical asymptote(s) of the graph of the given function.

Accepted Answer

A)  y = -3 
B)  x = -8 
C)  x = -6 
D)  y = 8 
A)  y = -3 
B)  x = -8 
C)  x = -6 
D)  y = 8

Question 16

Find the instantaneous rate of change for the function at the value given.
-Find the instantaneous rate of change for the function

Accepted Answer

A)  6 
B)  -39 
C)  -14 
D)  -41 
A)  6 
B)  -39 
C)  -14 
D)  -41

Question 17

The graph of a function f is given. Use the graph to answer the question.
-Use the graph of f given below to find f(8).

Accepted Answer

A)  8 
B)  12 
C)  0 
D)  -16 
A)  8 
B)  12 
C)  0 
D)  -16

Question 18

Use the graph to evaluate the indicated limit and function value or state that it does not exist.
-Find

Accepted Answer

A)  6; 0 
B)  Does not exist; 6 
C)  0; does not exist 
D)  0; 6 
A)  6; 0 
B)  Does not exist; 6 
C)  0; does not exist 
D)  0; 6

Question 19

Provide an appropriate response.
-Evaluate dy and

Accepted Answer

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

Question 20

Find the limit, if it exists.
-Let

Accepted Answer

A)  -∞ 
B)  -4 
C)  0 
D)  Does not exist 
A)  -∞ 
B)  -4 
C)  0 
D)  Does not exist

Provide an appropriate response. -Find

Provide an appropriate response. -Find:

Find dy. -

Sketch a possible graph of a function that satisfies the given conditions. -f(0) = 6;

Use the definition to find the derivative at x. -

Provide an appropriate response. -Find the slope of the graph at the point (1, 2).

Find average rate of change for the function over the given interval. - between x = -9 and x = -4

Find the limit, if it exists. -Find:

Find average rate of change for the function over the given interval. - between x = 4 and x = 8

Use the given graph to find the indicated limit. -

Find the limit, if it exists. -Find:

Find the limit. -Determine the limit.

Find the limit, if it exists. -Find:

Provide an appropriate response. -Find the vertical asymptote(s) of the graph of the given function.

Find the instantaneous rate of change for the function at the value given. -Find the instantaneous rate of change for the function

The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(8).

Use the graph to evaluate the indicated limit and function value or state that it does not exist. -Find

Provide an appropriate response. -Evaluate dy and

Find the limit, if it exists. -Let

Functions and Graphs

Additional Derivative Topics

Graphing and Optimization

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters

Exam 2: Limits and the Derivative

Provide an appropriate response. -Find

Provide an appropriate response. -Find:

Find dy. -

Sketch a possible graph of a function that satisfies the given conditions. -f(0) = 6;

Use the definition to find the derivative at x. -

Provide an appropriate response. -Find the slope of the graph at the point (1, 2).

Find average rate of change for the function over the given interval. - between x = -9 and x = -4

Find the limit, if it exists. -Find:

Find average rate of change for the function over the given interval. - between x = 4 and x = 8

Use the given graph to find the indicated limit. -

Find the limit, if it exists. -Find:

Find the limit. -Determine the limit.

Find the limit, if it exists. -Find:

Provide an appropriate response. -Find the vertical asymptote(s) of the graph of the given function.

Find the instantaneous rate of change for the function at the value given. -Find the instantaneous rate of change for the function

The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(8).

Use the graph to evaluate the indicated limit and function value or state that it does not exist. -Find

Provide an appropriate response. -Evaluate dy and

Find the limit, if it exists. -Let

Functions and Graphs

Additional Derivative Topics

Graphing and Optimization

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters