function √x² + y² + 1 x² + y² 2 f(x, y) = 1 if (x, y) = (0,0) 2 2 (x, y) = (0,0). If not, classify the type of discontinuiy. if (x, y) = (0,0)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Determine if the function
√x² + y² + 1
x² + y²
9
f(x, y)
1
if (x, y) ‡ (0,0)
9
2
is continuous at (x, y) = (0,0). If not, classify the type of discontinuiy.
=
1
if (x, y) = (0,0)
Transcribed Image Text:Determine if the function √x² + y² + 1 x² + y² 9 f(x, y) 1 if (x, y) ‡ (0,0) 9 2 is continuous at (x, y) = (0,0). If not, classify the type of discontinuiy. = 1 if (x, y) = (0,0)
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