Question 1

Estimate the limit numerically.

Accepted Answer

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

Question 2

Estimate the derivative of the function   at the point   . Select the answer rounded to the nearest whole number.

Accepted Answer

A) -11 
B) -13 
C) -16 
D) -10 
E) -12 
A) -11 
B) -13 
C) -16 
D) -10 
E) -12

Question 3

Compute   .

Accepted Answer

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

Question 4

Use the graph to compute

Accepted Answer

A)    
B)    
C)    
D)    
E) does not exist 
A)    
B)    
C)    
D)    
E) does not exist

Question 5

Use the graph to compute the following quantities.     Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Use the graph to compute the following...

Question 6

Compute   .

Accepted Answer

The answer of Compute   .  ...

Question 7

Calculate the limit algebraically.

Accepted Answer

A) -2.75 
B) -0.75 
C) -3 
D) 2.75 
E) 12 
A) -2.75 
B) -0.75 
C) -3 
D) 2.75 
E) 12

Question 8

Use a graph of f or some other method to determine what, if any, value to assign to f ( a )to make f continuous at x = a .

Accepted Answer

A)    
B)    
C)    
D)    
E) No value of   will make it continuous at   . 
A)    
B)    
C)    
D)    
E) No value of   will make it continuous at   .

Question 9

Calculate the limit algebraically.

Accepted Answer

A) 9 
B) -9 
C) 5 
D) 4 
E) 2.25 
A) 9 
B) -9 
C) 5 
D) 4 
E) 2.25

Question 10

Calculate the average rate of change of the given function over the intervals   , where h = 1, 0.1, 0.01, 0.001, and 0.0001. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.)   Complete the table.

Accepted Answer

A) dq -0.3000 -0.3529 0.0000 0.0000 -0.3600 
B) dq 1.5000 17.6471 179.6407 1,799.6401 17,999.6400 
C) dq -0.3000 -0.3529 -0.3593 -0.3599 0.0000 
D) dq -1.8000 -18.0000 -180.0000 -1,800.0000 -18,000.0000 
E) dq -0.3000 -0.3529 -0.3593 -0.3599 -0.3600 
A) dq -0.3000 -0.3529 0.0000 0.0000 -0.3600 
B) dq 1.5000 17.6471 179.6407 1,799.6401 17,999.6400 
C) dq -0.3000 -0.3529 -0.3593 -0.3599 0.0000 
D) dq -1.8000 -18.0000 -180.0000 -1,800.0000 -18,000.0000 
E) dq -0.3000 -0.3529 -0.3593 -0.3599 -0.3600

Question 11

Compute   .

Accepted Answer

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

Question 12

Compute   .

Accepted Answer

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

Question 13

Compute   for   .

Accepted Answer

A) 7 
B) 14 
C) -14 
D) -49 
E) 15 
A) 7 
B) 14 
C) -14 
D) -49 
E) 15

Question 14

Calculate the average rate of change of the given function over the interval   .

Accepted Answer

A) 800 
B) 4,000 
C) -50 
D) -800 
E) -200 
A) 800 
B) 4,000 
C) -50 
D) -800 
E) -200

Question 15

Compute the derivative function   algebraically.

Accepted Answer

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

Question 16

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

Accepted Answer

A) The point of discontinuity:   . 
B) The points of discontinuity:   . 
C) The function is continuous on its domain. 
D) The point of discontinuity:   . 
E) The points of discontinuity: -2, 0. 
A) The point of discontinuity:   . 
B) The points of discontinuity:   . 
C) The function is continuous on its domain. 
D) The point of discontinuity:   . 
E) The points of discontinuity: -2, 0.

Question 17

Find all points of discontinuity of the function.

Accepted Answer

A)    ,   ,   
B)    
C)    ,   
D)    
E) The function is continuous everywhere. 
A)    ,   ,   
B)    
C)    ,   
D)    
E) The function is continuous everywhere.

Question 18

Calculate the limit algebraically.

Accepted Answer

The answer of Calculate the limit algebraically.  ...

Question 19

Compute the derivative function   algebraically.

Accepted Answer

The answer of Compute the derivative function   algebraically....

Question 20

Estimate   of the function   . Please round the answer to the nearest whole number.

Accepted Answer

The answer of Estimate   of the function ...

Estimate the limit numerically.

Estimate the derivative of the function at the point . Select the answer rounded to the nearest whole number.

Compute .

Use the graph to compute

Use the graph to compute the following quantities. Please enter your answer as two numbers, separated by a comma.

Compute .

Calculate the limit algebraically.

Use a graph of f or some other method to determine what, if any, value to assign to f ( a )to make f continuous at x = a .

Calculate the limit algebraically.

Calculate the average rate of change of the given function over the intervals , where h = 1, 0.1, 0.01, 0.001, and 0.0001. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.) Complete the table.

Compute .

Compute .

Compute for .

Calculate the average rate of change of the given function over the interval .

Compute the derivative function algebraically.

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

Find all points of discontinuity of the function.

Calculate the limit algebraically.

Compute the derivative function algebraically.

Estimate of the function . Please round the answer to the nearest whole number.

Functions and Linear Models

Nonlinear Functions and Models

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

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Exam 3: Introduction to the Derivative

Estimate the limit numerically.

Estimate the derivative of the function at the point . Select the answer rounded to the nearest whole number.

Compute .

Use the graph to compute

Use the graph to compute the following quantities. Please enter your answer as two numbers, separated by a comma.

Compute .

Calculate the limit algebraically.

Use a graph of f or some other method to determine what, if any, value to assign to f ( a )to make f continuous at x = a .

Calculate the limit algebraically.

Calculate the average rate of change of the given function over the intervals , where h = 1, 0.1, 0.01, 0.001, and 0.0001. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.) Complete the table.

Compute .

Compute .

Compute for .

Calculate the average rate of change of the given function over the interval .

Compute the derivative function algebraically.

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

Find all points of discontinuity of the function.

Calculate the limit algebraically.

Compute the derivative function algebraically.

Estimate of the function . Please round the answer to the nearest whole number.

Functions and Linear Models

Nonlinear Functions and Models

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters