The figure shows level sets f(x,y)=1 and g(x,y)=0 for two different functions f(x,y) and g(x,y). ASsuming that the graphs of f and g are both elliptic paraboloids with x=0 and y=D0 as planes of reflection symmetry and that f(0,0)=0 and g(0,0)=1, find formulas for these functions. f(x,y)= g(x,y)= -3 --2 -1 1 3 -2 1 Level set f(r, y) = 1 Level set g(r, y) = 0

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