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(Solved): 5 Consider the function f(x,y)=x^(4)-x^(2)+y^(2)+2xy+1 (a) There is a stationary point at the origin ...



5 Consider the function

f(x,y)=x^(4)-x^(2)+y^(2)+2xy+1

(a) There is a stationary point at the origin ; Find the location(s) of any other stationary points. [3 marks] (b) Find the nature of the stationary point at the origin. [2 marks] (c) Along the curve

y=x^(2)

, for positive

x

, what is the minimum value of the function

f(x,y)

? [3 marks]



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