Question: (a) Show that the surface f(x, y) =2x - 6xy +3y has two critical points [6 marks] a saddle point at (0,0,0) and a

(a) Show that the surface f(x, y) =2x - 6xy +3y has

(a) Show that the surface f(x, y) =2x - 6xy +3y has two critical points [6 marks] a saddle point at (0,0,0) and a local minimum at (1,1,1) [9 marks). (15 marks) (b) Let f(x, y)=In(x +y'). Find the two partial derivatives f /x and a flx' by suitable means [6 marks], and hence show that the function f(x, y) satisfies Laplace's Equation [4 marks] 3D0.

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