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   . Please select the correct answer rounded to the nearest hundredth.

Accepted Answer

A) -17.05 
B) -15 
C) -17.5 
D) -17 
E) -16.95 
A) -17.05 
B) -15 
C) -17.5 
D) -17 
E) -16.95

Question 3

Compute   .   Enter your answer rounded to the nearest thousandth.

Accepted Answer

The answer of Compute   .   Enter...

Question 4

For the slope 1.1, determine at which of the labeled points on the graph the tangent line has that slope.

Accepted Answer

A) Q 
B) R 
C) P 
A) Q 
B) R 
C) P

Question 5

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

Accepted Answer

The answer of Use a graph to determine whether the...

Question 6

Compute   algebraically for   .

Accepted Answer

The answer of Compute   algebraically for  ...

Question 7

Estimate   of the function   .

Accepted Answer

A) 9 
B) 8 
C) 12 
D) 6 
E) 7 
A) 9 
B) 8 
C) 12 
D) 6 
E) 7

Question 8

At which labeled point is the slope of the tangent is greatest?

Accepted Answer

A) R 
B) P 
C) Q 
A) R 
B) P 
C) Q

Question 9

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

Accepted Answer

A) 838.5 
B) 139.75 
C) 41.93 
D) 253.5 
E) 76.05 
A) 838.5 
B) 139.75 
C) 41.93 
D) 253.5 
E) 76.05

Question 10

Compute   .

Accepted Answer

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

Question 11

Compute   for   .   Enter your answer in fraction form.

Accepted Answer

The answer of Compute   for   ....

Question 12

Calculate the limit algebraically.

Accepted Answer

A) 1 
B) 2 
C) -1 
D) 0.5 
E) -2 
A) 1 
B) 2 
C) -1 
D) 0.5 
E) -2

Question 13

Calculate the limit algebraically.

Accepted Answer

A) -17 
B) -8.5 
C) 8 
D) 4 
E) 3 
A) -17 
B) -8.5 
C) 8 
D) 4 
E) 3

Question 14

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

Accepted Answer

The answer of Estimate the derivative of the function ...

Question 15

Estimate the slope of the tangent to the graph of the following function at the point   .

Accepted Answer

A) 6 
B) -6 
C) 18 
D) -11 
E) 11 
A) 6 
B) -6 
C) 18 
D) -11 
E) 11

Question 16

Give an example of a function that is not continuous at   but is not discontinuous there either.

Accepted Answer

Answers may vary. @#IMG-DLM& is such a f

Question 17

Estimate the derivative of the function   at the point   .

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Calculate the limit algebraically.

Accepted Answer

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

Question 20

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 -6.4 -64 -640 -6,400 -64,000 
B) dq 8.1 65.61 641.601 6,401.6001 64,001.60001 
C) dq 1.7 1.61 1.601 1.6001 0 
D) dq 1.7 1.61 1.601 1.6001 55,998.40001 
E) dq 1.7 1.61 1.601 1.6001 1.60001 
A) dq -6.4 -64 -640 -6,400 -64,000 
B) dq 8.1 65.61 641.601 6,401.6001 64,001.60001 
C) dq 1.7 1.61 1.601 1.6001 0 
D) dq 1.7 1.61 1.601 1.6001 55,998.40001 
E) dq 1.7 1.61 1.601 1.6001 1.60001

Estimate the limit numerically.

Estimate the derivative of the function at the point . Please select the correct answer rounded to the nearest hundredth.

Compute . Enter your answer rounded to the nearest thousandth.

For the slope 1.1, determine at which of the labeled points on the graph the tangent line has that slope.

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

Compute algebraically for .

Estimate of the function .

At which labeled point is the slope of the tangent is greatest?

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

Compute .

Compute $Compute for . Enter your answer in fraction form.$ for $Compute for . Enter your answer in fraction form.$ . $Compute for . Enter your answer in fraction form.$ Enter your answer in fraction form.

Calculate the limit algebraically.

Calculate the limit algebraically.

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

Estimate the slope of the tangent to the graph of the following function at the point .

Give an example of a function that is not continuous at but is not discontinuous there either.

Estimate the derivative of the function at the point .

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

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.

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

Exam 3: Introduction to the Derivative

Estimate the limit numerically.

Estimate the derivative of the function at the point . Please select the correct answer rounded to the nearest hundredth.

Compute . Enter your answer rounded to the nearest thousandth.

For the slope 1.1, determine at which of the labeled points on the graph the tangent line has that slope.

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

Compute algebraically for .

Estimate of the function .

At which labeled point is the slope of the tangent is greatest?

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

Compute .

Compute for . Enter your answer in fraction form.

Calculate the limit algebraically.

Calculate the limit algebraically.

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

Estimate the slope of the tangent to the graph of the following function at the point .

Give an example of a function that is not continuous at but is not discontinuous there either.

Estimate the derivative of the function at the point .

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

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.

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

Compute $Compute for . Enter your answer in fraction form.$ for $Compute for . Enter your answer in fraction form.$ . $Compute for . Enter your answer in fraction form.$ Enter your answer in fraction form.