Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y, z) = 7y2z3i + 14xyz3 j + 21xy²z² k f(x, y, z) =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative,
enter DNE.)
F(x, y, z) = 7y²z³ i + 14xyz³ j + 21xy2z² k
f(x, y, z) =
Transcribed Image Text:Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y, z) = 7y²z³ i + 14xyz³ j + 21xy2z² k f(x, y, z) =
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