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(Solved): 1. Consider the function f (x, y, z) = 16xy2 8x3y 8z + 3. (a) Show that fxy = fyx, f ...



1. Consider the function f (x, y, z) = 16xy2 − 8x3y − 8z + 3. (a) Show that fxy = fyx, fxz = fzx and fyz = fzy. (b) Find the local linear approximation for f (x, y, z) near the point (−2, 2, −1).



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