Chapter 16, Problem 1RE

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

A vector field **F**, a curve *C*, and a point *P* are shown.

(a) Is ∫_{C}**F** · *d***r** positive, negative, or zero? Explain.

(b) Is div F(*P*) positive, negative, or zero? Explain.

**(a)**

To determine

**To explain:**

Explanation

**Given data:**

The figure of vector field **F**, a curve *C*, and a point *P* is given.

In given figure, the vector starting on point *C* directed in opposite direction to *C*, so the tangential component

Represent

Find the value of

**(b)**

To determine

**To explain:**

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