Chapter 16.1, Problem 30E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Match the functions *f* with the plots of their gradient vector fields labeled I-IV. Give reasons for your choices.

**30.** *f*(*x*, *y*) = *x*(*x + y*)

To determine

**To match:** The function

Explanation

**Given data:**

The function is

**Formula used:**

The gradient vector field of two dimensional vector is given by,

**Calculation:**

Find the gradient vector field of

Differentiate the term

Differentiate the term

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