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kamikatsu: working for god in a godless world - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \sum u = \sum t^2

📌 We compute $ \sum t^2 $ using the identity:

📌 \sum t^2 = (\sum t)^2 - 2\sum t_i t_j

📌 From the cubic:

📌 $ \sum t = 6 $

📌 $ \sum t_i t_j = 7 $

📌 \sum t^2 = 6^2 - 2 \cdot 7 = 36 - 14 = 22

📌 Thus, the sum of the roots of the original equation in $ u $ is $ \boxed{22} $.

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\text{Total views} = \int_0^{10} 200e^{0.05t} \, dt
The antiderivative of \( 200e^{0.05t} \) is:
\frac{200}{0.05} e^{0.05t} = 4000e^{0.05t}
Evaluate at the bounds:
4000e^{0.5} - 4000e^{0} = 4000(e^{0.5} - 1)
Approximate \( e^{0.5} \approx 1.64872 \):
4000(1.64872 - 1) = 4000(0.64872) = 2594.88
Rounding to the nearest whole number, the video receives **2,595 views...
#### 2595
A satellite orbits Earth along a path modeled by the ellipse \( \frac{...

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