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