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Describe the convex hull of the set S of points in R² that satisfy the given conditions. Justify your answers. (Show that an arbitrary point p in S belongs to conv S.) a. y = 1/x and x > 1/2 b. y = sin x c. y = x/2 and x > 0 a.

Describe the convex hull of the set S of points in R² that satisfy the given conditions. Justify your answers. (Show that an arbitrary point p in S belongs to conv S.) a. y = 1/x and x > 1/2 b. y = sin x c. y = x/2 and x > 0 a.

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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Describe the convex hull of the set S of points in R² that satisfy the given conditions. Justify your answers. (Show that an arbitrary point p in S belongs to conv S.) a. y = 1/x and x > 1/2 b. y = sin x c. y = x/2 and x > 0 a.
Transcribed Image Text:Describe the convex hull of the set S of points in R² that satisfy the given conditions. Justify your answers. (Show that an arbitrary point p in S belongs to conv S.) a. y = 1/x and x > 1/2 b. y = sin x c. y = x/2 and x > 0 a.
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