Which of the following functions is a potential function for the conservative vector field F(x, y, z) = (2-4, 2³ - 2y, x + 3yz²)?
Which of the following functions is a potential function for the conservative vector field F(x, y, z) = (2-4, 2³ - 2y, x + 3yz²)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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![Which of the following functions is a potential function for the conservative
vector field F (x, y, z) = (z − 4, z³ – 2y, x + 3yz² )?
○ ¢ (x, y, z) = x² + y² + z²
(x, y, z) = xz − y² + yz³ – 4x
○ p(x, y, z) = xz+ y² − yz³ – 4x
None of the given choices
○ (x, y, z)
=−xz+y²-yz³ + 4x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58be6242-db8f-4ae2-84c2-5672ef3fbf65%2F17ba7577-5d76-4ec3-b249-819991a2facc%2Fopf5zm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following functions is a potential function for the conservative
vector field F (x, y, z) = (z − 4, z³ – 2y, x + 3yz² )?
○ ¢ (x, y, z) = x² + y² + z²
(x, y, z) = xz − y² + yz³ – 4x
○ p(x, y, z) = xz+ y² − yz³ – 4x
None of the given choices
○ (x, y, z)
=−xz+y²-yz³ + 4x
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