Verify that the vector field is Conservative.

Question

Verify that the vector field is <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Conservative.

Answer 1

Step 1:

The function is .

Definition of conservative :

In a vector field , if then F is conservative.

The function is .

Here .

So F is conservative.

Solution :

F is conservative.