Question

Asked Nov 12, 2019

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Let f(x,y)= x^{2}+y^{2}+kxy

a) Show that if k<-2 or k>, the origin (0,0) is a saddle point.

b) Suppose -2<k<2. Is the origin a local max., min., or a saddle point? And, when k= 2, is the origin local max., min., or a saddle point?

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