Question: Consider the vector field vec ( F ) ( x , y , z ) = ( : 8 y - 4 z , 6

Consider the vector field vec(F)(x,y,z)=(:8y-4z,6z+8x,-4x+6y:).
Find a function f(x,y,z) such that vec(F)=gradf and f(0,0,0)=0.
f(x,y,z)=
Consider the vector field vec ( F ) ( x , y , z )

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