matthewcf42 matthewcf42 01-04-2024 Mathematics contestada Let f (x, y, z) = x² + y² + z2 -axy -bxz-cyz, Where |a| <2 and a² + b²+c² + abc < 4 (a) Show that (0,0,0) is the only critical point of f. (b) Show that (0,0,0) is a local minimum of f.