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Home » \[ 3a + b = 1 \] — (Equation 4) - Silent Sales Machine

\[ 3a + b = 1 \] — (Equation 4) - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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At d=40: N(40) = k × (1/2)^2 = k / 4 = (450√2)/4 = 112.5√2 ≈ 112.5 × 1...
To find total from d=20 to d=40:
Use average of ends: N(20) ≈ 450 / √2 / 1 √2? Wait — N(20) = 450 × (1/...
N(40) = 225 × (1/2)^1 = 112.5
Average ≈ (225 + 112.5)/2 = 168.75
Width = 20 cm
Total ≈ 168.75 × 20 = 3375
But better: since exponential, integrate:
Let N(d) = N₀ × (1/2)^(d/20), N₀ = 450√2
∫₂⁴ N(d) dd = N₀ ∫₂⁴ 2^(-d/20) dd

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