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Home » Feel Every Emotion with These Heart-Wrenching Poems About Friendship - Crankk.io

Feel Every Emotion with These Heart-Wrenching Poems About Friendship - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 f(y) = -y^2 + 2y + 1.

📌 This is a quadratic opening downward. Its maximum occurs at the vertex $ y = \frac{-b}{2a} = \frac{-2}{-2} = 1 $. Evaluating at $ y = 1 $:

📌 f(1) = -1 + 2 + 1 = 2.

📌 Evaluate at $ y = -1 $:

📌 f(-1) = -1 - 2 + 1 = -2.

📌 Thus, the range of $ f(x) $ is $[-2, 2]$.

📌 \boxed{[-2, 2]}

📌 Question: A mammalogist observes that the social interaction frequency of a species follows $ \theta $ satisfying $ \tan \theta + \cot \theta = 4 $. Find the sum of all solutions $ \theta \in [0^\circ, 360^\circ] $.

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