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Home » For a square with side $ s $, the diagonal is $ s\sqrt2 $. Therefore: - Sterling Industries

For a square with side $ s $, the diagonal is $ s\sqrt2 $. Therefore: - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 Rate of change is \( V'(t) = 1000 \cdot 0.4 \cdot e^{0.4t} = 400 \cdot e^{0.4t} \)

📌 At \( t = 3 \): \( V'(3) = 400 \cdot e^{1.2} \)

📌 \( e^{1.2} \approx 3.3201 \)

📌 \( V'(3) = 400 \times 3.3201 = 1,328.04 \) views per day

📌 #### 1,328.04

📌 A Netflix recommendation system uses a logistic growth model for viewership: \( U(t) = \frac{10,000}{1 + 9e^{-0.5t}} \). Find the viewership after 4 days.

📌 \( U(4) = \frac{10,000}{1 + 9e^{-0.5 \cdot 4}} = \frac{10,000}{1 + 9e^{-2}} \)

📌 \( e^{-2} \approx 0.1353 \)

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