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用多项式函数建模(续)
为什么在涉及盒子、圆柱等三维容器的体积与表面积的问题中,多项式会自然出现?
1. Summary
Summary
2. Triangular trough from fixed material
A trough has equilateral triangular ends of side s. What is the area of one end?
3. Cost-constrained box volume
A box twice as long as wide, with base and top at 1.50, must be built for $10. The constraint reduces to h = (10 - 8w^2)/(9w). What is h when w = 1? Give the fraction.
4. The Taylor approximation improves with more terms
Adding more terms to the Taylor polynomial of sine widens the interval on which the approximation is accurate.