Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 16 - Vector Calculus - 16.3 The Fundamental Theorem for Line Integrals - 16.3 Exercises - Page 1134: 1



Work Step by Step

Suppose $C$ is a smooth curve. Since, the gradient function is continuous we know that $f$ is differentiable on $C$. Thus, $\int_{C}∇ f.dr$ is the difference of the values of $f$ which is $50-10=40$
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