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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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#3) Let S CR".
(a) What is the closed convex hull co (S) of S?
(b) Fill out the following chart:
SCR²
{C) : x > 0 and 1x1² + [y|² <1
{☺)·0)·()}
cl (S)
co (S)
Transcribed Image Text:#3) Let S CR". (a) What is the closed convex hull co (S) of S? (b) Fill out the following chart: SCR² {C) : x > 0 and 1x1² + [y|² <1 {☺)·0)·()} cl (S) co (S)
Expert Solution
Step 1

(a) It is given that,  Sn. We have to find the convex hull co¯S of S.

(b) S = x, y : x>0, x2+y2  1 and S = 1, -1, 1, 1, -1, 1.

We have to find ; clS and co¯S of S.

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