Question 1

Find

Accepted Answer

The answer of Find  ...

Question 2

Select the correct Answer for each question.
-What force is required so that a particle of mass   has the following position function?.

Accepted Answer

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

Question 3

Find the domain of the vector function   Select the correct Answer

Accepted Answer

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

Question 4

Sketch the curve of the vector function   and indicate the orientation of the curve.

Accepted Answer

The answer of Sketch the curve of the vector function...

Question 5

Select the correct Answer for each question.
-Let C be a smooth curve defined by   and let   and   be the unit tangent vector and unit normal vector to C corresponding to t.The plane determined by T and N is called the osculating plane.Find an equation of the osculating plane of the curve described by   at

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Select the correct Answer: for each question.
-Find a vector function that represents the curve of intersection of the two surfaces: The circular cylinder   and the parabolic cylinder

Accepted Answer

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

Question 8

Select the correct Answer for each question.
-If

Accepted Answer

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

Question 9

Find the derivative

Accepted Answer

The answer of Find the derivative  ...

Question 10

If   Select the correct Answer

Accepted Answer

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

Question 11

Let   Find the domain of

Accepted Answer

The answer of Let   Find the domain of...

Question 12

Find the curvature of

Accepted Answer

The answer of Find the curvature of  ...

Question 13

Find the length of the curve   Select the correct Answer

Accepted Answer

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

Question 14

Select the correct Answer for each question.
-Find   for the function given.

Accepted Answer

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

Question 15

What force is required so that a particle of mass   has the following position function?.

Accepted Answer

The answer of What force is required so that a...

Question 16

Select the correct Answer for each question.
-Reparametrize the curve with respect to arc length measured from the point where   in the direction of increasing

Accepted Answer

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

Question 17

Find equations of the normal plane to   at the point (2, 4, 8).

Accepted Answer

The answer of Find equations of the normal plane to...

Question 18

Find the domain of the vector function   Select the correct Answer

Accepted Answer

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

Question 19

Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid   and the parabolic cylinder

Accepted Answer

The answer of Find a vector function that represents the...

Question 20

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

Accepted Answer

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

Find

Select the correct Answer for each question. -What force is required so that a particle of mass has the following position function?.

Find the domain of the vector function Select the correct Answer

Sketch the curve of the vector function and indicate the orientation of the curve.

Select the correct Answer for each question. -Let C be a smooth curve defined by and let and be the unit tangent vector and unit normal vector to C corresponding to t.The plane determined by T and N is called the osculating plane.Find an equation of the osculating plane of the curve described by at

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

Select the correct Answer: for each question. -Find a vector function that represents the curve of intersection of the two surfaces: The circular cylinder and the parabolic cylinder

Select the correct Answer for each question. -If

Find the derivative

If Select the correct Answer

Let Find the domain of

Find the curvature of

Find the length of the curve Select the correct Answer

Select the correct Answer for each question. -Find for the function given.

What force is required so that a particle of mass has the following position function?.

Select the correct Answer for each question. -Reparametrize the curve with respect to arc length measured from the point where in the direction of increasing

Find equations of the normal plane to at the point (2, 4, 8).

Find the domain of the vector function Select the correct Answer

Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid and the parabolic cylinder

Select the correct Answer: for each question. -Find the domain of the vector 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

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Exam 13: Vector Functions

Find

Select the correct Answer for each question. -What force is required so that a particle of mass has the following position function?.

Find the domain of the vector function Select the correct Answer

Sketch the curve of the vector function and indicate the orientation of the curve.

Select the correct Answer for each question. -Let C be a smooth curve defined by and let and be the unit tangent vector and unit normal vector to C corresponding to t.The plane determined by T and N is called the osculating plane.Find an equation of the osculating plane of the curve described by at

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

Select the correct Answer: for each question. -Find a vector function that represents the curve of intersection of the two surfaces: The circular cylinder and the parabolic cylinder

Select the correct Answer for each question. -If

Find the derivative

If Select the correct Answer

Let Find the domain of

Find the curvature of

Find the length of the curve Select the correct Answer

Select the correct Answer for each question. -Find for the function given.

What force is required so that a particle of mass has the following position function?.

Select the correct Answer for each question. -Reparametrize the curve with respect to arc length measured from the point where in the direction of increasing

Find equations of the normal plane to at the point (2, 4, 8).

Find the domain of the vector function Select the correct Answer

Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid and the parabolic cylinder

Select the correct Answer: for each question. -Find the domain of the vector 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

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters