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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]