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xy (x, y) = (0,0) x+y 0, (x, y) = (0,0) (a) Is f continuous at (0,0)? Why? Give your reason and show all
xy (x, y) = (0,0) x+y 0, (x, y) = (0,0) (a) Is f continuous at (0,0)? Why? Give your reason and show all your works. (b) If exists, compute fx (0,0) and fy (0,0). Show all calculations. (c) For (x, y) = (0,0), find fx (x, y) and fy(x, y). (d) Determine whether fx and fy are continuous at (0,0). (Hint: Check the limit along the lines y = mx.) Let f(x, y) = Why?
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a To determine if f is continuous at 00 we need to check if the limit of fxy as xy approaches 00 exists and is equal to f00 Lets calculate the limit l...
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Calculus
Authors: Ron Larson, Bruce H. Edwards
10th Edition
1285057090, 978-1285057095
