Chapter 16, Problem 6RCC

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

(a) What does it mean to say that ∫_{C}**F** · *d***r** is independent of path?

(b) If you know that ∫_{C}**F** · *d***r** is independent of path, what you say about **F**?

**(a)**

To determine

**To explain:** The independent of path of

Explanation

**Calculation:**

Consider a smooth curve *C* which is given by vector

Consider function *f* is differentiable and the gradient of *f* *C*.

The line integral over the curve *C* is,

**(b)**

To determine

**To explain:** The field vector

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