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(a) S = {(x, y) E R?: x <0 and y <0}.

(a) S = {(x, y) E R?: x <0 and y <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 of the following subsets S of R2, find ðS, Sº and Ext(S), and determine whether the given subset S is open or closed. Make sure to justify your answers, by saying how you can be sure that as, s° and Ext(S) is made exactly of all and only the points you claim they are made of: annotated sketches are acceptable explanations. (a) S = {(x,y) E R²: x < 0 (b) S = {(x, y) E R²: y > x² + 1}. (c) S = {(x, y) E R²: x² + y? < 1}U{(x,y) € R²: x = 0 and y > 1}. and y <0}. 3.
Transcribed Image Text:For each of the following subsets S of R2, find ðS, Sº and Ext(S), and determine whether the given subset S is open or closed. Make sure to justify your answers, by saying how you can be sure that as, s° and Ext(S) is made exactly of all and only the points you claim they are made of: annotated sketches are acceptable explanations. (a) S = {(x,y) E R²: x < 0 (b) S = {(x, y) E R²: y > x² + 1}. (c) S = {(x, y) E R²: x² + y? < 1}U{(x,y) € R²: x = 0 and y > 1}. and y <0}. 3.
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