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Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 5xz at (1,1,1), (1,0,0), and (0,0,0). The linearization of f(x,y,z) at (1,1,1)

Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 5xz at (1,1,1), (1,0,0), and (0,0,0). The linearization of f(x,y,z) at (1,1,1) is L(x,y,z) =

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