1. Find all the potential functions, if there are any, of the vector field F(x, y, z) = (2x sin(y − 42) + 3y²e³y², x² cos(y − 42) + 6xye³y² + 5y¹, −4x² cos(y - 4z)) -

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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1. Find all the potential functions, if there are any, of the vector field
F(x, y, z) = (2x sin(y − 42) + 3y²e³y², x² cos(y − 42) + 6xye³y² + 5y¹, −4x² cos(y - 4z))
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Transcribed Image Text:1. Find all the potential functions, if there are any, of the vector field F(x, y, z) = (2x sin(y − 42) + 3y²e³y², x² cos(y − 42) + 6xye³y² + 5y¹, −4x² cos(y - 4z)) -
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