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Home » Experts Worry: The Mysterious Black Caterpillar Might Be the Key to Your Next Nature Mystery! - wispro

Experts Worry: The Mysterious Black Caterpillar Might Be the Key to Your Next Nature Mystery! - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 D = (x^2 - 2x + 1) + (4x^2 + 16x + 16) = 5x^2 + 14x + 17

📌 \(D' = 10x + 14\). Set to zero:

📌 \(10x + 14 = 0 \Rightarrow x = -rac{7}{5}\)

📌 Then \(y = 2(-rac{7}{5}) + 3 = -rac{14}{5} + rac{15}{5} = rac{1}{5}\)

📌 Thus, the closest point is \(\left(-rac{7}{5}, rac{1}{5}

📌 oxed{\left(-rac{7}{5},\ rac{1}{5}

📌 Question: Find the minimum value of \((\cos x + \sec x)^2 + (\sin x + \csc x)^2\) for \(0 < x < rac{\pi}{2}\).

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