Chapter 16.5, Problem 16E

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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*.

**16. F**(*x*, *y*, *z*) = **i** + sin *z* **j** + *y* cos *z* **k**

To determine

Whether the vector field

Explanation

**Given data:**

**Formula used:**

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

Substitute

Simplify the equation.

Since
**F** is a conservative vector and the domain of **F** is

Consider

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