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

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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.

asked Feb 18, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The function is image.

Definition of conservative :

image is a vector field, image then F is conservative.

If F is conservative then the potential function for image is image.

The function is image.

image

image

So F is not conservative.

Solution :

F is not conservative.

answered Feb 19, 2015 by joseph Apprentice

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