Chapter 16.5, Problem 1E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find (a) the curl and (b) the divergence of the vector field.

**1. F**(*x*, *y*, *z*) = *xy*^{2}*z*^{2} **i** + *x*^{2}*yz*^{2} **j** + *x*^{2}*y*^{2}*z* **k**

**(a)**

To determine

**To find**: The curl **F**.

Explanation

**Given data:**

**Formula used:**

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

Substitute

**(b)**

To determine

**To find**: The divergence of the vector field.

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