# Multivariable Calculus : Divergence, Gradient, & Curl

## Example Questions

### Example Question #1 : Divergence, Gradient, & Curl

Calculate the curl for the following vector field.

Explanation:

In order to calculate the curl, we need to recall the formula.

where , and  correspond to the components of a given vector field:

Now lets apply this to out situation.

Thus the curl is

### Example Question #1 : Divergence, Gradient, & Curl

Compute , where .

Explanation:

All we need to do is calculate the partial derivatives and add them together.

### Example Question #3 : Divergence, Gradient, & Curl

Calculate the curl for the following vector field.

Explanation:

In order to calculate the curl, we need to recall the formula.

where , and  correspond to the components of a given vector field:

Now lets apply this to out situation.

Thus the curl is

### Example Question #4 : Divergence, Gradient, & Curl

Compute , where .

Explanation:

All we need to do is calculate the partial derivatives and add them together.