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Home » You Won’t Believe Which Roguelikes Dominate the Genre Right Now! - Abbey Badges

You Won’t Believe Which Roguelikes Dominate the Genre Right Now! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 4x + 2 = -x + 11

📌 \Rightarrow 5x = 9 \Rightarrow x = \frac{9}{5}

📌 y = 2 \cdot \frac{9}{5} + 1 = \frac{18}{5} + \frac{5}{5} = \frac{23}{5}

📌 Thus, the closest point is \(\boxed{\left( \frac{9}{5}, \frac{23}{5} \right)}\).

📌 Compute the maximum value of \((\sec x + \csc x)^2\) for \(0 < x < \frac{\pi}{2}\).

📌 Let \(f(x) = (\sec x + \csc x)^2 = \left(\frac{1}{\cos x} + \frac{1}{\sin x}\right)^2 = \left(\frac{\sin x + \cos x}{\sin x \cos x}\right)^2\).

📌 Let \(u = \sin x + \cos x\). Then:

📌 u^2 = \sin^2 x + 2\sin x \cos x + \cos^2 x = 1 + 2\sin x \cos x

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