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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}.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter54: Geometric Principles For Triangles And Other Common Polygons
Section: Chapter Questions
Problem 7A: Determine which of the following pairs of triangles (A through F) are similar. All linear dimensions...
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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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