Question 1

Use the graph of the function to state the value of   if it exists.Select the correct Answer

Accepted Answer

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

Question 2

Select the correct Answer for each question.
-Let   Find the following limits.

Accepted Answer

A)    
B)    
C)    
D) both 
E) both 1 
A)    
B)    
C)    
D) both 
E) both 1 A

Question 3

Select the correct Answer for each question.
-Use the graph to determine where the function is discontinuous.

Accepted Answer

A) At 1 
B) On the interval   
C) At 0 
D) At   
A) At 1 
B) On the interval   
C) At 0 
D) At   D

Question 4

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 5

Use the definition of the derivative to find

Accepted Answer

The answer of Use the definition of the derivative to...

Question 6

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 7

If   then if   exists, find the value where it exists.Select the correct Answer

Accepted Answer

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

Question 8

Find the horizontal and vertical asymptotes of the graph of the function

Accepted Answer

The answer of Find the horizontal and vertical asymptotes of...

Question 9

The graph shows the percentage of households in a certain city watching television during a 24-hr period on a weekday   corresponds to 6a.m.).By computing the slope of the respective tangent line, estimate the rate of change of the percentage of households watching television at a-12 p.m.Note that

Accepted Answer

The answer of The graph shows the percentage of households...

Question 10

Select the correct Answer for each question.
-Find the value of the limit.

Accepted Answer

The answer of Select the correct Answer for each question.
-Find...

Question 11

Select the correct Answer for each question.
-  nd g are continuous functions with

Accepted Answer

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

Question 12

Evaluate the limit.Select the correct Answer

Accepted Answer

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

Question 13

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 14

Select the correct Answer for each question.
-Find the numbers, if any, where the function is discontinuous.

Accepted Answer

A)    
B) 2 
C) 1 
D) 0 
A)    
B) 2 
C) 1 
D) 0

Question 15

If a cylindrical tank holds   gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after   minutes as   Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of   with respect to   as a function of

Accepted Answer

The answer of If a cylindrical tank holds  ...

Question 16

Select the correct Answer for each question.
-Use the graph of   to guess at the limit   , if it exists.

Accepted Answer

A) 1 
B) 4 
C) 3 
D) Does not exist 
A) 1 
B) 4 
C) 3 
D) Does not exist

Question 17

Select the correct Answer for each question.
-Sketch the graph of the function f and evaluate

Accepted Answer

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

Question 18

Find the value of Select the correct Answer

Accepted Answer

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

Question 19

Select the correct Answer for each question.
-Let   Find the value of k that will make   continuous on

Accepted Answer

A) 5 
B) 46 
C) -4 
D) 3 
A) 5 
B) 46 
C) -4 
D) 3

Question 20

At what point is the function   not differentiable.Select the correct Answer

Accepted Answer

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

Use the graph of the function to state the value of if it exists.Select the correct Answer

Select the correct Answer for each question. -Let Find the following limits.

Select the correct Answer for each question. -Use the graph to determine where the function is discontinuous.

Find the limit.

Use the definition of the derivative to find

Find the limit.

If then if exists, find the value where it exists.Select the correct Answer

Find the horizontal and vertical asymptotes of the graph of the function

The graph shows the percentage of households in a certain city watching television during a 24-hr period on a weekday corresponds to 6a.m.).By computing the slope of the respective tangent line, estimate the rate of change of the percentage of households watching television at a-12 p.m.Note that

Select the correct Answer for each question. -Find the value of the limit.

Select the correct Answer for each question. - nd g are continuous functions with

Evaluate the limit.Select the correct Answer

Find the limit.

Select the correct Answer for each question. -Find the numbers, if any, where the function is discontinuous.

Select the correct Answer for each question. -Use the graph of to guess at the limit , if it exists.

Select the correct Answer for each question. -Sketch the graph of the function f and evaluate

Find the value of Select the correct Answer

Select the correct Answer for each question. -Let Find the value of k that will make continuous on

At what point is the function not differentiable.Select the correct Answer

Functions and Models

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Exam 2: Limits and Derivatives

Use the graph of the function to state the value of if it exists.Select the correct Answer

Select the correct Answer for each question. -Let Find the following limits.

Select the correct Answer for each question. -Use the graph to determine where the function is discontinuous.

Find the limit.

Use the definition of the derivative to find

Find the limit.

If then if exists, find the value where it exists.Select the correct Answer

Find the horizontal and vertical asymptotes of the graph of the function

The graph shows the percentage of households in a certain city watching television during a 24-hr period on a weekday corresponds to 6a.m.).By computing the slope of the respective tangent line, estimate the rate of change of the percentage of households watching television at a-12 p.m.Note that

Select the correct Answer for each question. -Find the value of the limit.

Select the correct Answer for each question. - nd g are continuous functions with

Evaluate the limit.Select the correct Answer

Find the limit.

Select the correct Answer for each question. -Find the numbers, if any, where the function is discontinuous.

Select the correct Answer for each question. -Use the graph of to guess at the limit , if it exists.

Select the correct Answer for each question. -Sketch the graph of the function f and evaluate

Find the value of Select the correct Answer

Select the correct Answer for each question. -Let Find the value of k that will make continuous on

At what point is the function not differentiable.Select the correct Answer

Functions and Models

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters