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Home » Unlock the Secret to High-Grade Formica: Why Every Kitchen Needs It! - Upplift

Unlock the Secret to High-Grade Formica: Why Every Kitchen Needs It! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 This is the first positive solution, and since sustainable development demands shortest time estimation, use this.

📌 A civil engineer models the stress distribution on a beam with function $f(x) = 6x^3 - 36x^2 + 54x$ for $0 \leq x \leq 5$, where $f(x)$ is force in kN at position $x$ meters. What is the maximum force on the beam?

📌 Find critical points: $f'(x) = 18x^2 - 72x + 54$.

📌 Set to zero: $18x^2 - 72x + 54 = 0 \Rightarrow x^2 - 4x + 3 = 0 \Rightarrow (x - 1)(x - 3) = 0$.

📌 So $x = 1$ and $x = 3$.

📌 Evaluate $f(x)$:

📌 $f(0) = 0$

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