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 $50-10=40$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 16 - Vector Calculus - 16.3 Exercises - Page 1106: 1
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