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Statement of a problem № m632

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Let g1, g2: R2-> R be continuous. Define f: R2->Rby f(x,y) = (a) Show that D2f (x,y) = g2(x,y) (b) How should f be defined so that D1f(x,y) =g1(x,y)? (c) Find a function f: R2->R such that D1f (x,y)=x and D1f (x,y)=y




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