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7x² √x² +9y² f(x, y) "={₁x , (x, y) = (0,0) , (x, y) = (0,0)

7x² √x² +9y² f(x, y) "={₁x , (x, y) = (0,0) , (x, y) = (0,0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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42. Determine if the function is continuous at (0,0). Include the definition of continuity. 7x² , (x, y) = (0,0) , (x, y) = (0,0) { f(x, y) = √x² +9y² = { g(x, y) = 2x²y x4 + 2y² 0 , (x, y) = (0,0) , (x, y) = (0,0)
Transcribed Image Text:42. Determine if the function is continuous at (0,0). Include the definition of continuity. 7x² , (x, y) = (0,0) , (x, y) = (0,0) { f(x, y) = √x² +9y² = { g(x, y) = 2x²y x4 + 2y² 0 , (x, y) = (0,0) , (x, y) = (0,0)
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