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\[ a = 0.04 \] - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Substituting back:

📌 f\left(\frac{\pi}{4}\right) = 1 + \frac{1}{\frac{1}{2}} + \frac{1}{\frac{1}{2}} = 1 + 2 + 2 = 5

📌 Thus, the minimum value of $ f(x) $ is:

📌 Question: A science policy analyst is modeling the growth of renewable energy adoption using the function

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

📌 Find the minimum value of $ g(x) $ for $ x $ such that $ \sin x > 0 $.

📌 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}

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