# Calculus 3 : Divergence

## Example Questions

### Example Question #11 : Line Integrals

Compute the divergence of the vector .

Explanation:

To find the divergence of the vector

,

we use the formula

.

Computing each partial derivative, we get

.

### Example Question #12 : Line Integrals

Compute the divergence of the vector .

Explanation:

To find the divergence of the vector , we use the formula

.

Computing each partial derivative, we get

.

### Example Question #13 : Line Integrals

Compute the divergence of the vector.

Explanation:

To find the divergence of the vector , we use the formula

.

Computing each partial derivative, we get

.

### Example Question #14 : Line Integrals

Find the divergence of the vector

Explanation:

The formula for the divergence of a vector  is . Using the vector from the problem statement, we get . Adding them up gets us the correct answer.

### Example Question #21 : Line Integrals

Find the divergence of the vector

Explanation:

To find the divergence a vector , you use the following definition: . Applying this to the vector from the problem statement, we get . Adding all of these up, according to the definition, will produce the correct answer.

### Example Question #22 : Line Integrals

Find the divergence of the following vector:

Explanation:

To find the divergence a vector , you use the following definition: . Applying this to the vector from the problem statement, we get . Adding all of these up, according to the definition, will produce the correct answer.

### Example Question #23 : Line Integrals

Find the divergence of the vector

Explanation:

To find the divergence a vector , you use the following definition: . Applying this to the vector from the problem statement, we get . Adding all of these up, according to the definition, will produce the correct answer.

### Example Question #24 : Line Integrals

Find the divergence of the vector

Explanation:

To find the divergence of a vector , we apply the following definition: . Applying the definition to the vector from the problem statement, we get

### Example Question #25 : Line Integrals

Find the divergence of the vector

Explanation:

To find the divergence of a vector , we apply the following definition: . Applying the definition to the vector from the problem statement, we get

### Example Question #26 : Line Integrals

Find the divergence of the vector