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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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
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