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Show that the vector field f(x,y,z)=⟨ycos(−2x),−2xsin(y),0⟩f(x,y,z)=⟨ycos⁡(−2x),−2xsin⁡(y),0⟩ is not a gradient vector field by computing its curl. how does this show what you intended?

Respuesta :

soniap147

Since the curl is not the zero vector then the vector field is not conservative, thus the vector field is not a gradient vector field.


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