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1. Identify each of the following subsets of the Euclidean plane R2 as open set or closed set or neither: (a) {(r, y) : a² + y² < 2}. (b) {(r, y): |r| + |yl < 1}. (c) {(x, y) : max(|r|, |y|l) < 1}.

1. Identify each of the following subsets of the Euclidean plane R2 as open set or closed set or neither: (a) {(r, y) : a² + y² < 2}. (b) {(r, y): |r| + |yl < 1}. (c) {(x, y) : max(|r|, |y|l) < 1}.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Identify each of the following subsets of the Euclidean plane R? as open set or closed set or neither: (a) {(x, y): a2 + y? < 2}. (b) {(x, y) : |a|+ lyl < 1}. (c) {(x, y) : max(1|), |y|) < 1}. (d) {(0, y) : 0 < y < 1}. nt caahl
Transcribed Image Text:1. Identify each of the following subsets of the Euclidean plane R? as open set or closed set or neither: (a) {(x, y): a2 + y? < 2}. (b) {(x, y) : |a|+ lyl < 1}. (c) {(x, y) : max(1|), |y|) < 1}. (d) {(0, y) : 0 < y < 1}. nt caahl
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