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Home » km = 1,500,000 cm - ECD Germany

km = 1,500,000 cm - ECD Germany

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 We expand the expression:

📌 g(x) = \left(\sqrt{2} \sin x + \frac{1}{\sqrt{2} \sin x}\right)^2 = 2 \sin^2 x + 2 + \frac{1}{2 \sin^2 x}

📌 Let $ y = \sin^2 x $, where $ y > 0 $. Then:

📌 g(x) = 2y + 2 + \frac{1}{2y}

📌 We minimize $ 2y + \frac{1}{2y} + 2 $. Let:

📌 h(y) = 2y + \frac{1}{2y}

📌 Using the AM-GM inequality:

📌 2y + \frac{1}{2y} \geq 2\sqrt{2y \cdot \frac{1}{2y}} = 2

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