Chapter 16.5, Problem 14E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Determine whether or not the vector field is conservative. If it is conservative, find a function *f* such that **F** = ∇*f*.

**14. F**(*x*, *y*, *z*) = *xyz*^{4} **i** + *x*^{2}*z*^{4} **j** + 4*x*^{2}*yz*^{3} **k**

To determine

Whether the vector field

Explanation

**Given data:**

**Formula used:**

Consider the standard equation of an curl **F** for

Substitute

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