Question 1

Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is   Select the correct Answer

Accepted Answer

A) 32, 32, 32 
B) 32, , 16 
C)    
D)    
E) 4, 8, 16 
A) 32, 32, 32 
B) 32, , 16 
C)    
D)    
E) 4, 8, 16

Question 2

Find the equation of the normal line to the given surface at the specified point.

Accepted Answer

The answer of Find the equation of the normal line...

Question 3

Find the domain and range of the function

Accepted Answer

The answer of Find the domain and range of the...

Question 4

Select the correct Answer: for each question.
-Find the limit

Accepted Answer

A) 52 
B) 16 
C) 73 
D) 19 
A) 52 
B) 16 
C) 73 
D) 19

Question 5

Select the correct Answer: for each question.
-Use the Chain Rule to find

Accepted Answer

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

Question 6

Use Lagrange multipliers to find the minimum value of the function subject to the given constraints.

Accepted Answer

The answer of Use Lagrange multipliers to find the minimum...

Question 7

Find   for the function   Select the correct Answer

Accepted Answer

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

Question 8

Select the correct Answer: for each question.
-Use Lagrange multipliers to find the maximum value of the function subject to the given constraint.

Accepted Answer

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

Question 9

Find   for the function   Select the correct Answer

Accepted Answer

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

Question 10

Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer

Accepted Answer

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

Question 11

Select the correct Answer: for each question.
-Use a table of numerical values of f (x, y) for (x, y) near the origin to make a conjecture about the value of the limit of f (x, y) as

Accepted Answer

A)    
B)    
C) 1 
D)    
E) the value cannot be determined 
A)    
B)    
C) 1 
D)    
E) the value cannot be determined

Question 12

Select the correct Answer: for each question.
-Find

Accepted Answer

A)    
B)    
C)    
D)    
E) 0 
A)    
B)    
C)    
D)    
E) 0

Question 13

Select the correct Answer: for each question.
-Let   Find

Accepted Answer

A)    
B)    
C) 36 
D) 6 
A)    
B)    
C) 36 
D) 6

Question 14

Use the equation

Accepted Answer

The answer of Use the equation    ...

Question 15

If   use the gradient vector   to find the tangent line to the level curve   at the point

Accepted Answer

The answer of If   use the gradient vector...

Question 16

Find the gradient of the function

Accepted Answer

The answer of Find the gradient of the function ...

Question 17

Select the correct Answer: for each question.
-Find the domain and range of the function

Accepted Answer

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

Question 18

Find the differential of the function.

Accepted Answer

The answer of Find the differential of the function. ...

Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is Select the correct Answer

Find the equation of the normal line to the given surface at the specified point.

Find the domain and range of the function

Select the correct Answer: for each question. -Find the limit

Select the correct Answer: for each question. -Use the Chain Rule to find

Use Lagrange multipliers to find the minimum value of the function subject to the given constraints.

Find for the function Select the correct Answer

Select the correct Answer: for each question. -Use Lagrange multipliers to find the maximum value of the function subject to the given constraint.

Find for the function Select the correct Answer

Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer $Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer$

Select the correct Answer: for each question. -Use a table of numerical values of f (x, y) for (x, y) near the origin to make a conjecture about the value of the limit of f (x, y) as

Select the correct Answer: for each question. -Find

Select the correct Answer: for each question. -Let Find

Use the equation

If use the gradient vector to find the tangent line to the level curve at the point

Find the gradient of the function

Select the correct Answer: for each question. -Find the domain and range of the function

Find the differential of the function.

Functions and Models

Limits and Derivatives

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

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Exam 14: Partial Derivatives

Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is Select the correct Answer

Find the equation of the normal line to the given surface at the specified point.

Find the domain and range of the function

Select the correct Answer: for each question. -Find the limit

Select the correct Answer: for each question. -Use the Chain Rule to find

Use Lagrange multipliers to find the minimum value of the function subject to the given constraints.

Find for the function Select the correct Answer

Select the correct Answer: for each question. -Use Lagrange multipliers to find the maximum value of the function subject to the given constraint.

Find for the function Select the correct Answer

Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer

Select the correct Answer: for each question. -Use a table of numerical values of f (x, y) for (x, y) near the origin to make a conjecture about the value of the limit of f (x, y) as

Select the correct Answer: for each question. -Find

Select the correct Answer: for each question. -Let Find

Use the equation

If use the gradient vector to find the tangent line to the level curve at the point

Find the gradient of the function

Select the correct Answer: for each question. -Find the domain and range of the function

Find the differential of the function.

Functions and Models

Limits and Derivatives

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

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer $Find the equation of the tangent plane to the given surface at the specified point.\ Select the correct Answer$