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Home » The area is \( 6 \times 12 = 72 \) square cm. - IX Labs

The area is \( 6 \times 12 = 72 \) square cm. - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Thus, the minimum value of $ f(x) $ is:
Question: A science policy analyst is modeling the growth of renewable...
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...
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}

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