Exercise III.2. Graph the following sets S in R² and determine which are convex: (i) B = : { ( ₁ ) : 2²³² + y² 2² <1} 1){(+) = [IS]A[M<1]} •{(*) : : x² + y² + y² ≤ 1} (iii) (iv) BUC where CC bdry (B) ~{(*) : [le] ≤1] ^ [lu|=1]} (vi) {(7) : [x² + y² <1] ^ [y ≥ 0]} (v) Bo U (ii) B
Exercise III.2. Graph the following sets S in R² and determine which are convex: (i) B = : { ( ₁ ) : 2²³² + y² 2² <1} 1){(+) = [IS]A[M<1]} •{(*) : : x² + y² + y² ≤ 1} (iii) (iv) BUC where CC bdry (B) ~{(*) : [le] ≤1] ^ [lu|=1]} (vi) {(7) : [x² + y² <1] ^ [y ≥ 0]} (v) Bo U (ii) B
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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Just parts 3, 4, and 5 please
![Exercise III.2. Graph the following sets S in R² and determine which are convex:
(i) B
=
: { ( ₁ ) : 2²³² + y² 2² <1}
1){(+) = [IS]A[M<1]}
•{(*) :
: x² + y²
+ y² ≤ 1}
(iii)
(iv) BUC where CC bdry (B)
~{(*) : [le] ≤1] ^ [lu|=1]} (vi) {(7) : [x² + y² <1] ^ [y ≥ 0]}
(v) Bo U
(ii) B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe87a569b-7721-4104-9b29-fedcf0a2817b%2F43d0c809-0529-4141-aae8-5ba4405b98b2%2Foxv559_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise III.2. Graph the following sets S in R² and determine which are convex:
(i) B
=
: { ( ₁ ) : 2²³² + y² 2² <1}
1){(+) = [IS]A[M<1]}
•{(*) :
: x² + y²
+ y² ≤ 1}
(iii)
(iv) BUC where CC bdry (B)
~{(*) : [le] ≤1] ^ [lu|=1]} (vi) {(7) : [x² + y² <1] ^ [y ≥ 0]}
(v) Bo U
(ii) B
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