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f(x, y) = { x4 - 5y² x² + 5y² 0 if (x, y) = (0,0) if (x, y) (0,0) =

f(x, y) = { x4 - 5y² x² + 5y² 0 if (x, y) = (0,0) if (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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For each item below, determine the largest subset of R2 on which the function is continuous. Justify your answers.

f(x, y) = = x4 - 5y² x² + 5y² 0 if (x, y) = (0,0) if (x, y) = (0,0)
Transcribed Image Text:f(x, y) = = x4 - 5y² x² + 5y² 0 if (x, y) = (0,0) if (x, y) = (0,0)
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