Chapter 16.3, Problem 1E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

The figure shows a curve *C* and a contour map of a function *f* whose gradient is continuous. Find ∫* _{C}* ∇

To determine

**To find:** The value of

Explanation

**Definition:**

Refer to FIGURE 1 of section 16.3 in the textbook.

Consider a smooth curve represented by a vector function

If *f* is the differentiable function of two or three variables with gradient vector
*C* then

Re-modify given Figure as shown in Figure 1

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