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6. Extra Credit: Dene f (0, 0) = 0 and 2 2 f(-'r,y) = w my) 7t (0,0)- (i) Show that |f(:r,y)| 0, and so
6. Extra Credit: Dene f (0, 0) = 0 and 2 2 f(-'r,y) = w my) 7t (0,0)- (i) Show that |f(:r,y)| 0, and so f is continuous at (0,0). (ii) Calculate the expressions for f1(1:,y) and fy(:c,y) at (any) 75 (0,0), and also compute that the values of these partial derivatives at (:13, y) = (0, 0) both equal 0. Then Show that |f1(m,y)|
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