Chapter 16, Problem 10RCC

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

If **F** = *P* **i** + *Q* **j**, how do you determine whether **F** is conservative? What if **F** is a vector field on ℝ^{3}?

To determine

Whether the field

Explanation

A vector field
*f* such that

Consider a vector field as

Here,

*P*,

*Q*, and

*P* and *Q* have continuous partial derivatives

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