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Home » You Won’t Believe Where You Can Stream Pokémon Without Paying a Dime! - Redraw

You Won’t Believe Where You Can Stream Pokémon Without Paying a Dime! - Redraw

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 \overrightarrow{OC} = \begin{bmatrix} 4 - (-3) \\ 2 - 9 \end{bmatrix} = \begin{bmatrix} 7 \\ -7 \end{bmatrix}.

📌 The vector is $ \boxed{\begin{bmatrix} 7 \\ -7 \end{bmatrix}} $.Question: A volcanologist models the amplitude of seismic waves using the function $ f(x) = \sin^2 x + 2\cos x $. Find the range of $ f(x) $ as $ x $ ranges over all real numbers.

📌 Solution: Start by using the identity $ \sin^2 x = 1 - \cos^2 x $ to rewrite $ f(x) $:

📌 f(x) = 1 - \cos^2 x + 2\cos x = -\cos^2 x + 2\cos x + 1.

📌 Let $ y = \cos x $, where $ y \in [-1, 1] $. The function becomes:

📌 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.

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