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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 2persquarefootandsidesat2 per square foot and sides 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.

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