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  3. consider the scalar functions f(x,y,z)g(x,y,z)=x^2

Consider the scalar functions f(x,y,z)g(x,y,z)=x^2+y^2+z^2, g(x,y,z)=xy+xz+yz, and=h(x,y,z)=√xyz Which of the three vector fields ∇f∇f, ∇g∇g and ∇h∇h are conservative?

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Basic Math

Consider the scalar functions

f(x,y,z)g(x,y,z)=x^2+y^2+z^2,

g(x,y,z)=xy+xz+yz,

and=h(x,y,z)=√xyz


Which of the three vector fields ∇f∇f, ∇g∇g and ∇h∇h areconservative?

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