Determine whether or not F is a conservative vector field. If it is, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y) = (3x² - 2y2)i + (4xy + 2)j

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 30E
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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.)
F(x, y) = (3x² – 2y²)i + (4xy + 2)j
Transcribed Image Text:Determine whether or not F is a conservative vector field. If it is, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y) = (3x² – 2y²)i + (4xy + 2)j
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