Chapter 15.1, Problem 44E

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7th Edition

Ron Larson + 1 other

ISBN: 9781337552516

Textbook Problem

Determine whether the vector field is conservative. If it is, find a potential function for the vector field.

To determine

Whether the vector field is conservative **F(x,y) =**

Explanation

**Given:** The function **F(x,y) =**

A vector field **F(x,y) =**

Here, M=

Now, partial differentiating both sides with respect to â€˜yâ€™

=>

and, N=

Now, partial differentiating both sides with respect to â€˜xâ€™

=>

Clearly,

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