Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If F(x, y, z) = 18xyi + (9x² + 4yz)j + 2y²k f(x, y, z) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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) = 18xyi + (9x2 + 4yz)j + 2y?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) = 18xyi + (9x2 + 4yz)j + 2y?k f(x, y, z) =
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