Optimization | Curiwise

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40 meters of fence, the best pen

You have 40 meters of fence. What rectangular pen encloses the most area? Not 10×10 by luck — calculus PROVES the square wins. Optimization is calculus doing its most practical job: finding the best, whether that's the most area, the least cost, or the strongest shape.

Optimization: objective → one variable → critical points → check endpoints → best wins.

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