Question 1

Evaluate the line integral over the given curve C.   where C is the line segment joining

Accepted Answer

The answer of Evaluate the line integral over the given...

Question 2

Evaluate the surface integral.   S is the part of the plane   that lies in the first octant.

Accepted Answer

The answer of Evaluate the surface integral.   S...

Question 3

Let   Which of the following equations does the line segment from   Select the correct Answer

Accepted Answer

A)    
B)    
C) none of these 
A)    
B)    
C) none of these

Question 4

Find the curl of the vector field.

Accepted Answer

The answer of Find the curl of the vector field....

Question 5

Find (a) the divergence and (b) the curl of the vector field F.

Accepted Answer

The answer of Find (a) the divergence and (b) the...

Question 6

Find the work done by the force field F on a particle that moves along the curve C.Select the correct Answer

Accepted Answer

A)    
B) 3 
C)    
D) 13 
A)    
B) 3 
C)    
D) 13

Question 7

Select the correct Answer for each question.
-Evaluate   where C is given by   Round yourAnswer to two decimal place.

Accepted Answer

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

Question 8

Determine whether or not vector field is conservative.If it is conservative, find a function   such that

Accepted Answer

The answer of Determine whether or not vector field is...

Question 9

Find the area of the part of the surface   that lies between the planes x = 0, x = 4,     Select the correct Answer

Accepted Answer

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

Question 10

Use Green's Theorem to find the work done by the force   in moving a particle from the origin along the x-axis to (1, 0) then along the line segment to     and then back to the origin along the y-axis.

Accepted Answer

The answer of Use Green's Theorem to find the work...

Question 11

A plane lamina with constant density   occupies a region in the xy-plane bounded by a simple closed path C.Its moments of inertia about the axes are   Find the moments of inertia about the axes, if C is a rectangle with vertices (0, 0), (4, 0), (4, 5) and

Accepted Answer

The answer of A plane lamina with constant density ...

Question 12

Find the curl of the vector field.

Accepted Answer

The answer of Find the curl of the vector field....

Question 13

Find the work done by the force field   on a particle that moves along the parabola   Select the correct Answer

Accepted Answer

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

Question 14

Select the correct Answer for each question.
-A plane lamina with constant density   occupies a region in the xy-plane bounded by a simple closed path C.Its moments of inertia about the axes are   Find the moments of inertia about the axes, if C is a rectangle with vertices (0, 0), (4, 0), (4, 5) and

Accepted Answer

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

Question 15

Select the correct Answer for each question.
-Evaluate the surface integral.Round yourAnswer to four decimal places.   S is surface

Accepted Answer

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

Question 16

Select the correct Answer for each question.
-Evaluate the line integral over the given curve C.

Accepted Answer

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

Question 17

Find the exact mass of a thin wire in the shape of the helix   if the density is 4.

Accepted Answer

The answer of Find the exact mass of a thin...

Question 18

Consider the vector field   If a particle starts at the point   in the velocity field given by F, find an equation of the path it follows.

Accepted Answer

The answer of Consider the vector field   If...

Question 19

Select the correct Answer for each question.
-Which plot illustrates the vector field

Accepted Answer

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

Question 20

Find the area of the part of the surface   that lies between the planes x = 0, x = 4,   and

Accepted Answer

The answer of Find the area of the part of...

Evaluate the line integral over the given curve C. where C is the line segment joining

Evaluate the surface integral. S is the part of the plane that lies in the first octant.

Let Which of the following equations does the line segment from Select the correct Answer

Find the curl of the vector field.

Find (a) the divergence and (b) the curl of the vector field F.

Find the work done by the force field F on a particle that moves along the curve C.Select the correct Answer

Select the correct Answer for each question. -Evaluate where C is given by Round yourAnswer to two decimal place.

Determine whether or not vector field is conservative.If it is conservative, find a function such that

Find the area of the part of the surface that lies between the planes x = 0, x = 4, Select the correct Answer

Use Green's Theorem to find the work done by the force in moving a particle from the origin along the x-axis to (1, 0) then along the line segment to and then back to the origin along the y-axis.

A plane lamina with constant density occupies a region in the xy-plane bounded by a simple closed path C.Its moments of inertia about the axes are Find the moments of inertia about the axes, if C is a rectangle with vertices (0, 0), (4, 0), (4, 5) and

Find the curl of the vector field.

Find the work done by the force field on a particle that moves along the parabola Select the correct Answer

Select the correct Answer for each question. -A plane lamina with constant density occupies a region in the xy-plane bounded by a simple closed path C.Its moments of inertia about the axes are Find the moments of inertia about the axes, if C is a rectangle with vertices (0, 0), (4, 0), (4, 5) and

Select the correct Answer for each question. -Evaluate the surface integral.Round yourAnswer to four decimal places. S is surface

Select the correct Answer for each question. -Evaluate the line integral over the given curve C.

Find the exact mass of a thin wire in the shape of the helix if the density is 4.

Consider the vector field If a particle starts at the point in the velocity field given by F, find an equation of the path it follows.

Select the correct Answer for each question. -Which plot illustrates the vector field

Find the area of the part of the surface that lies between the planes x = 0, x = 4, and

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Exam 16: Vector Calculus

Evaluate the line integral over the given curve C. where C is the line segment joining

Evaluate the surface integral. S is the part of the plane that lies in the first octant.

Let Which of the following equations does the line segment from Select the correct Answer

Find the curl of the vector field.

Find (a) the divergence and (b) the curl of the vector field F.

Find the work done by the force field F on a particle that moves along the curve C.Select the correct Answer

Select the correct Answer for each question. -Evaluate where C is given by Round yourAnswer to two decimal place.

Determine whether or not vector field is conservative.If it is conservative, find a function such that

Find the area of the part of the surface that lies between the planes x = 0, x = 4, Select the correct Answer

Use Green's Theorem to find the work done by the force in moving a particle from the origin along the x-axis to (1, 0) then along the line segment to and then back to the origin along the y-axis.

A plane lamina with constant density occupies a region in the xy-plane bounded by a simple closed path C.Its moments of inertia about the axes are Find the moments of inertia about the axes, if C is a rectangle with vertices (0, 0), (4, 0), (4, 5) and

Find the curl of the vector field.

Find the work done by the force field on a particle that moves along the parabola Select the correct Answer

Select the correct Answer for each question. -A plane lamina with constant density occupies a region in the xy-plane bounded by a simple closed path C.Its moments of inertia about the axes are Find the moments of inertia about the axes, if C is a rectangle with vertices (0, 0), (4, 0), (4, 5) and

Select the correct Answer for each question. -Evaluate the surface integral.Round yourAnswer to four decimal places. S is surface

Select the correct Answer for each question. -Evaluate the line integral over the given curve C.

Find the exact mass of a thin wire in the shape of the helix if the density is 4.

Consider the vector field If a particle starts at the point in the velocity field given by F, find an equation of the path it follows.

Select the correct Answer for each question. -Which plot illustrates the vector field

Find the area of the part of the surface that lies between the planes x = 0, x = 4, and

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

Partial Derivatives

Multiple Integrals

Second-Order Differential Equations

Filters