Chapter 16.1, Problem 29E

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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.

**29.** *f*(*x*, *y*) = *x*^{2} *+ y ^{2}*

To determine

**To match:** The function

Explanation

**Given data:**

**Formula used:**

Write the expression for gradient vector field of two dimensional vector.

Write the required differentiation formulae with respect to

Write the required differentiation formulae with respect to

Differentiate the term

Differentiate the term

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