Determine whether the vector field is conservative and, if so, find the general potential function.   F=⟨cos(z),2y^3,−xsin(z)⟩

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.12P
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Determine whether the vector field is conservative and, if so, find the general potential function.

 

F=⟨cos(z),2y^3,−xsin(z)⟩

 

Determine whether the vector field is conservative and, if so, find the general potential function.
F = (cos z, 2y°, –x sin z)
+c
Note: if the vector field is not conservative, write "DNE".
Transcribed Image Text:Determine whether the vector field is conservative and, if so, find the general potential function. F = (cos z, 2y°, –x sin z) +c Note: if the vector field is not conservative, write "DNE".
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