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Home » First sum ($k = 0$ to $3$): - Silent Sales Machine

First sum ($k = 0$ to $3$): - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 x = \frac{4 \pm \sqrt{16 + 32}}{2} = \frac{4 \pm \sqrt{48}}{2} = \frac{4 \pm 4\sqrt{3}}{2}

📌 x = 2 \pm 2\sqrt{3}

📌 Since \(x > 4\), \(x = 2 + 2\sqrt{3} \approx 5.464\).

📌 #### #### 5.464

📌 The function \( f(x) = x^3 - 6x^2 + 9x + c \) has a local maximum at \( x = 1 \). Find \( c \) if \( f(1) = 2 \).

📌 Solution 8:

📌 \( f'(x) = 3x^2 - 12x + 9 \).

📌 Setting \( f'(x) = 0 \) for critical points:

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