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Show that at (0,0). ») — { (? ) x² sin 0, I f(x, y) = (y² +1), ²³ +1), (x, y) (0, 0), (x, y) = (0,0). (0,0) exists, and show that the Of(x, y) is not continuous ?х ?х

Show that at (0,0). ») — { (? ) x² sin 0, I f(x, y) = (y² +1), ²³ +1), (x, y) (0, 0), (x, y) = (0,0). (0,0) exists, and show that the Of(x, y) is not continuous ?х ?х

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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3. Consider the following function Show that at (0,0). f(x, y) = ») — { = ¹ (²-) (v² + 1), x² sin (y² +1), (x,y) = (0,0), (x, y) = (0,0). (0,0) exists, and show that the Of(x, y) is not continuous ?х
Transcribed Image Text:3. Consider the following function Show that at (0,0). f(x, y) = ») — { = ¹ (²-) (v² + 1), x² sin (y² +1), (x,y) = (0,0), (x, y) = (0,0). (0,0) exists, and show that the Of(x, y) is not continuous ?х
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