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3. Consider the function f : R2 R defined by {0 (a) (6 points) Calculate fm and fy, and show that one of them

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3. Consider the function f : R2 R defined by {0 (a) (6 points) Calculate fm and fy, and show that one of them is continuous (both are continuous, but just check one). Is f is differentiable everywhere? Hint: be careful calculating fr(0, 0) and fu(0, 0). Use polar coordinates to check continuity at 0.

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