Calculus 8th Edition

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

Chapter 16 - Vector Calculus - Review - Concept Check - Page 1188: 6

Answer

(a) See the explanation below. (b) See the explanation below.

Work Step by Step

a) The statement means that the line integral only depends on the two points that is, initial and final points. which yields the same value. b) $F$ is a conservative field is known to be a vector field which does not depend upon the path.Mathematically, it can be defined as: $\nabla f=F$
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