Let f(x,y) = and let g(x, y) 4xy¹ 4x4 + 4y4 0 if(x, y) = (0,0) 0 if (x, y) = (0,0) 5xy 10 5x² + 5y20 if (x, y) = (0,0) if (x, y) = (0,0) Which of the above functions are continuous at (0, 0)?

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A: Partial derivative

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A: Given Algebraic Function