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3. Show that the set {(x, y, z) in R^3 | |x| <= 1, lyl <= 1, and |Z| <= 1) is convex.

3. Show that the set {(x, y, z) in R^3 | |x| <= 1, lyl <= 1, and |Z| <= 1) is convex.

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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3. Show that the set {(x, y, z) in R^3 | |x| <= 1, lyl <= 1, and |Z| <= 1} is convex.
Transcribed Image Text:3. Show that the set {(x, y, z) in R^3 | |x| <= 1, lyl <= 1, and |Z| <= 1} is convex.
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