Question: Consider the vector field F ( x , y , z ) = ( y , x , - 6 z ) . Show that

Consider the vector field F(x,y,z)=(y,x,-6z). Show that F is a gradient vector field F=gradV by determining the function V which satisfies V(0,0,0)=0.
V(x,y,z)=
Consider the vector field F ( x , y , z ) = ( y ,

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