Answer
$40$
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: $50-10=40$.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 16 - Section 16.3 - The Fundamental Theorem for Line Integrals - 16.3 Exercise - Page 1094: 1
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