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92. PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the minimum of the real numbers a and b. For example, max(2, 5) = 5 and min(-1, -2) = -2. a +b + |a - b| (a) Prove that max(a, b) 2 a + b - |a - b| (b) Prove that min(a, b) 2.

92. PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the minimum of the real numbers a and b. For example, max(2, 5) = 5 and min(-1, -2) = -2. a +b + |a - b| (a) Prove that max(a, b) 2 a + b - |a - b| (b) Prove that min(a, b) 2.

Advanced Engineering Mathematics
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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92. PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the minimum of the real numbers a and b. For example, max(2, 5) = 5 and min(-1, -2) = -2. a +b + |a - b| (a) Prove that max(a, b) 2 a + b - |a - b| (b) Prove that min(a, b) 2.
Transcribed Image Text:92. PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the minimum of the real numbers a and b. For example, max(2, 5) = 5 and min(-1, -2) = -2. a +b + |a - b| (a) Prove that max(a, b) 2 a + b - |a - b| (b) Prove that min(a, b) 2.
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