Determine whether the vector field F is Conservative. if it is, find a potential function for the vector field.

Question

Determine whether the vector field F is <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Conservative. if it is, find a potential function for the vector field.

Answer 1

Step 1:

The function is .

Definition of conservative :

is a vector field, then F is conservative.

If F is conservative then the potential function for is .

The function is .

So F is not conservative.

Solution :

F is not conservative.