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(a) Determine whether or not it is convex or concave. A = {(x, y) = R²|yx4, and -2≤ x ≤ 2} B = {(x, y) = R² y ≥ e*} C = {(x, y) = R² y ≤ x(x-2)(x-3)} D = {(x, y) = R² | x² + y² ≤ 4, and x > 0}

(a) Determine whether or not it is convex or concave. A = {(x, y) = R²|yx4, and -2≤ x ≤ 2} B = {(x, y) = R² y ≥ e*} C = {(x, y) = R² y ≤ x(x-2)(x-3)} D = {(x, y) = R² | x² + y² ≤ 4, and x > 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 set below: (a) Determine whether or not it is convex or concave. A = {(x, y) = R² y ≥ x¹, and -2 ≤ x ≤ 2} B = {(x, y) = R² y ≥ e*} C = {(x, y) = R² | y ≤ x(x − 2)(x − 3)} D = {(x, y) = R² | x² + y² ≤ 4, and x ≥ 0} (b) Find the extreme points of each of these convex sets.
Transcribed Image Text:For each set below: (a) Determine whether or not it is convex or concave. A = {(x, y) = R² y ≥ x¹, and -2 ≤ x ≤ 2} B = {(x, y) = R² y ≥ e*} C = {(x, y) = R² | y ≤ x(x − 2)(x − 3)} D = {(x, y) = R² | x² + y² ≤ 4, and x ≥ 0} (b) Find the extreme points of each of these convex sets.
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