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 8th Edition
by Stewart, James
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
