Find all the potential functions, if there are any, of the vector field F(x, y, z) = (2x sin(y — 42) + 3y²e²y², æ² cos(y − 42) + 6xyeªy² + 5y¹, −4x² cos(y – -42)).

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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Find all the potential functions, if there are any, of the vector field
F(x, y, z) = (2x sin(y — 42) + 3y²e²y², æ² cos(y − 42) + 6xyeªy² + 5y¹, −4x² cos(y – -42)).
Transcribed Image Text:Find all the potential functions, if there are any, of the vector field F(x, y, z) = (2x sin(y — 42) + 3y²e²y², æ² cos(y − 42) + 6xyeªy² + 5y¹, −4x² cos(y – -42)).
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