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) = (2x - 2y)i + (-2x + 14y - 5) j f(x, y) =

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) = (2x - 2y)i + (-2x + 14y - 5) j f(x, y) =

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.15P

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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)
(2x - 2y)i + (−2x + 14y – 5) j
f(x, y) =
=

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