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If $q>p>0$ show that the point $(x,y)=(0,0)$ minimizes the function $$f(x,y) = (y-px^2)(y-qx^2)$$ locally on the lines $$y=ht, x=kt$$ through the point (x,y).

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    Why is this tagged 'convex-optimization'? It doesn't look convex to me...2014-02-04

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