Consider solutions to the inequality (x- 1)2 + (y - 1)2 <1. We will denote the solution set by S, that is S= {(x, y) : (x- 1) + (y- 1)2 < 1} Write Sas an open ball in R4.
Consider solutions to the inequality (x- 1)2 + (y - 1)2 <1. We will denote the solution set by S, that is S= {(x, y) : (x- 1) + (y- 1)2 < 1} Write Sas an open ball in R4.
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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![Consider solutions to the inequality
\((x-1)^2 + (y-1)^2 < 1\).
We will denote the solution set by \(S\), that is
\[S = \{(x, y) : (x-1)^2 + (y-1)^2 < 1\}\]
Write \(S\) as an open ball in \(\mathbb{R}^2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45ccc3c2-853e-4ee6-91f9-7e4723419012%2Fe2913300-25e1-4021-9d17-53f6599282c4%2F2peburp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider solutions to the inequality
\((x-1)^2 + (y-1)^2 < 1\).
We will denote the solution set by \(S\), that is
\[S = \{(x, y) : (x-1)^2 + (y-1)^2 < 1\}\]
Write \(S\) as an open ball in \(\mathbb{R}^2\).
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