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