4. Prove each of the following statements: a). If a,b,r € R and a² + b² ≤r², b). If S={(x,y) = R² \x² + y² ≤ 4} then_ ab≤ = r². then S is a convex set.
4. Prove each of the following statements: a). If a,b,r € R and a² + b² ≤r², b). If S={(x,y) = R² \x² + y² ≤ 4} then_ ab≤ = r². then S is a convex set.
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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C
4. Prove each of the following statements:
a). If a,b,r¤R and a² + b² ≤r²,
b). If S = {(x, y) = R²|x² + y² ≤ 4}
then_ab≤ = r².
then S is a convex set.
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