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Home » You Won’t Believe What These Bam-Xx Bromance BMX Tricks Can Do – Hit the Link! - Veritas Home Health

You Won’t Believe What These Bam-Xx Bromance BMX Tricks Can Do – Hit the Link! - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Let $ t = rac{x^2 + y^2}{xy} $. By the AM-GM inequality,

📌 x^2 + y^2 \geq 2xy \Rightarrow rac{x^2 + y^2}{xy} \geq 2,

📌 so $ t \geq 2 $. The expression becomes $ t + rac{1}{t} $. Define $ f(t) = t + rac{1}{t} $ for $ t \geq 2 $. The derivative $ f'(t) = 1 - rac{1}{t^2} > 0 $ for $ t > 1 $, so $ f(t) $ is increasing. Therefore, the minimum occurs at $ t = 2 $:

📌 f(2) = 2 + rac{1}{2} = rac{5}{2}.

📌 Equality holds when $ x = y $, which satisfies $ x, y > 0 $. Thus, the minimum value is

📌 oxed{rac{5}{2}}.

📌 Question: A hydrologist models the flow resistance $ R $ through a porous aquifer as

📌 R = rac{p + q}{p - q} + rac{p - q}{p + q} - 2,

🔥 Popular Posts

P(t) = 4t^2 - 16t + 20, \quad 0 \leq t \leq 6 \text{ hours}
Find the minimum power usage during this period.
Vertex of parabola: \(t = -\frac{b}{2a} = \frac{16}{8} = 2\)
P(2) = 4(4) - 16(2) + 20 = 16 - 32 + 20 = 4
Check endpoints:
\(P(0) = 20\), \(P(6) = 144 - 96 + 20 = 68\)
Minimum is 4 kW.
Answer:** \(\boxed{4}\)
Systems – Resource Allocation
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