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Exercise III.2. Graph the following sets S in R² and determine which are conver: (i) B (ii) B:= • { ( ₁ ) : 2²³² + √² ≤ ² {(); ²² +*² <1} [la] ≤1] ^ [<1]} (iii) : (iv) BUC where CC bdry(B) (v) Bo ~{(*): [|~| ≤1] ^ [y] =1]} (vi) {{"): [2² + y² <1] ^ [y ≥0]}

Exercise III.2. Graph the following sets S in R² and determine which are conver: (i) B (ii) B:= • { ( ₁ ) : 2²³² + √² ≤ ² {(); ²² +*² <1} [la] ≤1] ^ [<1]} (iii) : (iv) BUC where CC bdry(B) (v) Bo ~{(*): [|~| ≤1] ^ [y] =1]} (vi) {{"): [2² + y² <1] ^ [y ≥0]}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 8E
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I just need to know which ones are convex, no need to graph. Thank you!

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
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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