Which of the following functions is a potential function for the conservative vector field F (x, y, z) = (1, –2y, 3z²)? $ (x, y, z) = x – y² + 2³ – 4 $ (x, y, z) = –xy? 23 $ (x, y, z) = x + y² + z³ $ (x, y, z) = x – y² – 23 – 4 -

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 16P
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Which of the following functions is a potential function for the
conservative vector field F (x, y, z) = (1, –2y, 3z²)?
= x
-
$ (x, y, z) = -xy 23
Ф (х, у, 2) — х + y? +3
$ (x, y, z) = x – y? – 23 – 4
-
-
Transcribed Image Text:Which of the following functions is a potential function for the conservative vector field F (x, y, z) = (1, –2y, 3z²)? = x - $ (x, y, z) = -xy 23 Ф (х, у, 2) — х + y? +3 $ (x, y, z) = x – y? – 23 – 4 - -
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