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Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁, x2, x3): x₁ + 2x₂ ≤ 1, x₁ - 2x3 ≤ 2}. C. {(x1, x₂) x₂ - 3x1² = : 0}. d. {(x₁, x2, x3): x₂ ≥ x², x₁ + 2x₂ + x3 ≤ 4}.

Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁, x2, x3): x₁ + 2x₂ ≤ 1, x₁ - 2x3 ≤ 2}. C. {(x1, x₂) x₂ - 3x1² = : 0}. d. {(x₁, x2, x3): x₂ ≥ x², x₁ + 2x₂ + x3 ≤ 4}.

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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Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁, x2, x3): x₁ + 2x₂ ≤ 1, x₁ - 2x3 ≤ 2}. C. {(x1, x₂) x₂ - 3x1² : 0}. d. {(x₁,x₂, x3): x₂ ≥ x ₁²₂ x₁ + 2x₂ + x3 ≤ 4}. =
Transcribed Image Text:Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁, x2, x3): x₁ + 2x₂ ≤ 1, x₁ - 2x3 ≤ 2}. C. {(x1, x₂) x₂ - 3x1² : 0}. d. {(x₁,x₂, x3): x₂ ≥ x ₁²₂ x₁ + 2x₂ + x3 ≤ 4}. =
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