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Home » f(x) = -\frac143x^3 + 33x^2 - \frac2113x + 45 - High Altitude Science

f(x) = -\frac143x^3 + 33x^2 - \frac2113x + 45 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 d_C^2 = (3 - 3)^2 + (2 - 6)^2 = 0 + 16 = 16

📌 Let the influence from each village be proportional to $ \frac{1}{d^2} $. Then the total influence is:

📌 I_{\text{total}} = \frac{1}{13} + \frac{1}{13} + \frac{1}{16} = \frac{2}{13} + \frac{1}{16}

📌 Find a common denominator:

📌 \frac{2}{13} + \frac{1}{16} = \frac{32 + 13}{208} = \frac{45}{208}

📌 Since total influence is normalized to 1, the influence from village $ A $ is:

📌 \frac{\frac{1}{13}}{\frac{45}{208}} = \frac{1}{13} \cdot \frac{208}{45} = \frac{208}{585} = \frac{16}{45}

📌 \boxed{\frac{16}{45}}

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