Question

Show that the vector field F(x,y,z)=(−5ycos(−5x),−5xsin(−5y),0)| is not a gradient vector field by computing its curl....

Show that the vector field F(x,y,z)=(−5ycos(−5x),−5xsin(−5y),0)| is not a gradient vector field by computing its curl. How does this show what you intended?
curl(F)=∇×F=( ? , ? , ?).

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