Question: [8]1. a) Find all four critical points for the function f(x,y)=x3xy29x23y2.[8] b) The critical points for f(x,y)=y36y2(x-4)2(y1) are (7,-1),(1,-1),(4,0) and (4,-4). Use the Second Derivative

[8]1. a) Find all four critical points for the function f(x,y)=x3xy29x23y2.[8] b) The critical points for f(x,y)=y36y2(x-4)2(y1) are (7,-1),(1,-1),(4,0) and (4,-4). Use the Second Derivative Test to classify each one as local max, local min, or saddle point.

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