Question 1

Provide an appropriate response.
-Find

Accepted Answer

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

Question 2

Provide an appropriate response.
-Determine where the function   is continuous.

Accepted Answer

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

Question 3

Provide an appropriate response.
-The total cost in dollars of producing x lawn mowers is given by C   Find the marginal average cost at   and interpret the result.

Accepted Answer

A)  -$13.33; a unit increase in production will decrease the average cost per unit by approximately $13.33 at a production level of 20 units. 
B)  -$1.33; a unit increase in production will decrease the average cost per unit by approximately $1.33 at a production level of 20 units. 
C)  -$10.33; a unit increase in production will decrease the average cost per unit by approximately $10.33 at a production level of 20 units. 
D)  -$20.33; a unit increase in production will decrease the average cost per unit by approximately $20.33 at a production level of 20 units. 
A)  -$13.33; a unit increase in production will decrease the average cost per unit by approximately $13.33 at a production level of 20 units. 
B)  -$1.33; a unit increase in production will decrease the average cost per unit by approximately $1.33 at a production level of 20 units. 
C)  -$10.33; a unit increase in production will decrease the average cost per unit by approximately $10.33 at a production level of 20 units. 
D)  -$20.33; a unit increase in production will decrease the average cost per unit by approximately $20.33 at a production level of 20 units.

Question 4

Provide an appropriate response.
-The total profit from selling x units of doorknobs is P(x) =(6x - 7)(9x - 8). Find the marginal average profit function.

Accepted Answer

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

Question 5

Provide an appropriate response.
-Evaluate dy and

Accepted Answer

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

Question 6

List the x-values in the graph at which the function is not differentiable.
-

Accepted Answer

A)  x = 0 
B)  x = 1 
C)  x = -1 
D)  x = 2 
A)  x = 0 
B)  x = 1 
C)  x = -1 
D)  x = 2

Question 7

Provide an appropriate response.
-Find the equation of the tangent line at   Write the answer in the form y = mx + b.

Accepted Answer

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

Question 8

Provide an appropriate response.
-Given that   Express the answer as a simplified fraction.

Accepted Answer

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

Question 9

Provide an appropriate response.
-Find

Accepted Answer

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

Question 10

Find the limit, if it exists.
-Let

Accepted Answer

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

Question 11

Solve the problem.
-Suppose an object moves along the y-axis so that its location is   at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.

Accepted Answer

A)    
B)  7 - h m/s 
C)  12 + h m/s 
D)  7 + h m/s 
A)    
B)  7 - h m/s 
C)  12 + h m/s 
D)  7 + h m/s

Question 12

Find the limit.
-Determine the limit.

Accepted Answer

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

Question 13

Solve the problem.
-The electric power p (in W) as a function of the current i (in A)   Find the instantaneous rate of change of p with respect to i for i = 0.7 A.

Accepted Answer

A)  84 W/A 
B)  87.5 W/A 
C)  61.25 W/A 
D)  105 W/A 
A)  84 W/A 
B)  87.5 W/A 
C)  61.25 W/A 
D)  105 W/A

Question 14

Provide an appropriate response.
-Solve the inequality and express the answer in interval notation:

Accepted Answer

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

Question 15

Provide an appropriate response.
-Determine where the function   is continuous.

Accepted Answer

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

Question 16

Find average rate of change for the function over the given interval.
-Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function

Accepted Answer

A)  22 
B)  11 
C)  4 
D)  9 
A)  22 
B)  11 
C)  4 
D)  9

Question 17

Provide an appropriate response.
-Find the horizontal asymptote, if any, of the given function.

Accepted Answer

A)  y = 0 
B)    
C)    
D)  None 
A)  y = 0 
B)    
C)    
D)  None

Question 18

List the x-values in the graph at which the function is not differentiable.
-

Accepted Answer

A)  x = 2 
B)  x = 0 
C)  x = -2, x = 2 
D)  x = -2, x = 0, x = 2 
A)  x = 2 
B)  x = 0 
C)  x = -2, x = 2 
D)  x = -2, x = 0, x = 2

Question 19

Provide an appropriate response.
-Determine the x-values, if any, at which the function is discontinuous.

Accepted Answer

A)  1 
B)  -1, 0, 1 
C)  -1, 1 
D)  None 
A)  1 
B)  -1, 0, 1 
C)  -1, 1 
D)  None

Question 20

Provide an appropriate response.
-Find the derivative of

Accepted Answer

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

Provide an appropriate response. -Find

Provide an appropriate response. -Determine where the function is continuous.

Provide an appropriate response. -The total cost in dollars of producing x lawn mowers is given by C Find the marginal average cost at and interpret the result.

Provide an appropriate response. -The total profit from selling x units of doorknobs is P(x) =(6x - 7)(9x - 8). Find the marginal average profit function.

Provide an appropriate response. -Evaluate dy and

List the x-values in the graph at which the function is not differentiable. -

Provide an appropriate response. -Find the equation of the tangent line at Write the answer in the form y = mx + b.

Provide an appropriate response. -Given that $Provide an appropriate response. -Given that Express the answer as a simplified fraction.$ Express the answer as a simplified fraction.

Provide an appropriate response. -Find

Find the limit, if it exists. -Let

Solve the problem. -Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.

Find the limit. -Determine the limit.

Solve the problem. -The electric power p (in W) as a function of the current i (in A) Find the instantaneous rate of change of p with respect to i for i = 0.7 A.

Provide an appropriate response. -Solve the inequality and express the answer in interval notation:

Provide an appropriate response. -Determine where the function is continuous.

Find average rate of change for the function over the given interval. -Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function

Provide an appropriate response. -Find the horizontal asymptote, if any, of the given function.

List the x-values in the graph at which the function is not differentiable. -

Provide an appropriate response. -Determine the x-values, if any, at which the function is discontinuous.

Provide an appropriate response. -Find the derivative of

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. -Determine where the function is continuous.

Provide an appropriate response. -The total cost in dollars of producing x lawn mowers is given by C Find the marginal average cost at and interpret the result.

Provide an appropriate response. -The total profit from selling x units of doorknobs is P(x) =(6x - 7)(9x - 8). Find the marginal average profit function.

Provide an appropriate response. -Evaluate dy and

List the x-values in the graph at which the function is not differentiable. -

Provide an appropriate response. -Find the equation of the tangent line at Write the answer in the form y = mx + b.

Provide an appropriate response. -Given that Express the answer as a simplified fraction.

Provide an appropriate response. -Find

Find the limit, if it exists. -Let

Solve the problem. -Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.

Find the limit. -Determine the limit.

Solve the problem. -The electric power p (in W) as a function of the current i (in A) Find the instantaneous rate of change of p with respect to i for i = 0.7 A.

Provide an appropriate response. -Solve the inequality and express the answer in interval notation:

Provide an appropriate response. -Determine where the function is continuous.

Find average rate of change for the function over the given interval. -Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function

Provide an appropriate response. -Find the horizontal asymptote, if any, of the given function.

List the x-values in the graph at which the function is not differentiable. -

Provide an appropriate response. -Determine the x-values, if any, at which the function is discontinuous.

Provide an appropriate response. -Find the derivative of

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

Provide an appropriate response. -Given that $Provide an appropriate response. -Given that Express the answer as a simplified fraction.$ Express the answer as a simplified fraction.