Answered: #3) Let S CR". (a) What is the convex…

#3) Let S CR". (a) What is the convex hull of co (S)? (b) What is the closed convex hull co (S) of S? (c) Fill out the following chart: KG): SCR² : x>0 and [x² + [y|² < 1 {C-0-C)} co (S) co (S)

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) Let S CR".
(a) What is the convex hull of co (S)?
(b) What is the closed convex hull co (S) of S?
(c) Fill out the following chart:
KG):
SCR²
: x>0 and [x² + [y|² < 1
{C-0-C)}
co (S)
co (S)

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Follow-up Question

definition wise, what is the difference between co(S) and co(S) with the bar above it? Does that just indicate that the convex hull is closed so that's why we have the same answers co(S)=co(S)[with the bar]? Because I've only seen that notation in the past refer to the inverse when the bar is above the function like this. Just trying to better understand the notation

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