Chapter 16.9, Problem 19E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

A vector field **F** is shown. Use the interpretation of divergence derived in this section to determine whether div **F** is positive or negative at *P*_{1} and at *P*_{2}*.*

To determine

Whether the divergence of vector field

Explanation

If the net flow of the vectors is inward at a point

Refer to Figure in the textbook (i.e., bottom of the question 16.9-19E).

From the Figure in the textbook, the vectors enter towards the point

As the vectors that end near the point

Therefore, the divergence of the vector field is negative at the point

If the net flow of the vectors is outward at a point

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