Find the potential function f for the field F. F = (y - z) i + (x + 2y - z) j - (x + y) k a) f(x, y, z) = x(y + y2) - xz - yz + C b) f(x, y, z) = xy + y2 - x - y + C c) f(x, y, z) = xy + y2 - xz - yz + C d) f(x, y, z) = x + y2 - xz - yz + C
Find the potential function f for the field F. F = (y - z) i + (x + 2y - z) j - (x + y) k a) f(x, y, z) = x(y + y2) - xz - yz + C b) f(x, y, z) = xy + y2 - x - y + C c) f(x, y, z) = xy + y2 - xz - yz + C d) f(x, y, z) = x + y2 - xz - yz + C
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 18P
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Question
Find the potential function f for the field F.
F = (y - z) i + (x + 2y - z) j - (x + y) k
F = (y - z) i + (x + 2y - z) j - (x + y) k
a) |
f(x, y, z) = x(y + y2) - xz - yz + C
|
|
b) |
f(x, y, z) = xy + y2 - x - y + C
|
|
c) |
f(x, y, z) = xy + y2 - xz - yz + C
|
|
d) |
f(x, y, z) = x + y2 - xz - yz + C
|
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