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Home » En el punto más alto, la velocidad final = 0 - DNSFLEX

En el punto más alto, la velocidad final = 0 - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Top and bottom area: \( A_{\text{topb}} = 2\pi r^2 \)

📌 Total cost:

📌 C(r) = 40 \cdot \frac{1}{r} + 55 \cdot 2\pi r^2 = \frac{40}{r} + 110\pi r^2

📌 To minimize, take derivative:

📌 C'(r) = -\frac{40}{r^2} + 220\pi r

📌 220\pi r = \frac{40}{r^2} \Rightarrow r^3 = \frac{40}{220\pi} = \frac{2}{11\pi}

📌 \Rightarrow r = \left( \frac{2}{11\pi} \right)^{1/3}

📌 Compute numerically: \( \frac{2}{11\pi} \approx \frac{2}{34.5575} \approx 0.05796 \), so \( r \approx (0.05796)^{1/3} \approx 0.387 \) m

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