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Itissuspectedthatthehighamountoftannininmatureoakleavesinhibitthegrowthofthewintermot... It is suspected that the high amount of tannin in mature oak leaves inhibit the growth of the winter moth (Operophtera borate L., Geometridae) larvae that extensively damage these trees in certain years. The following table lists the average weight of two samples of larvae at times in the first 28 days after birth. The first sample was reared on young oak leaves, while the second sample was reared on mature leaves form the same tree.
a. Use Lagrange interpolation to approximate the average weight curve for each sample.
b. Find a approximate maximum average weight for each sample by determining the maximum of the interpolating polynomial.
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有人怀疑,成熟的橡树叶鞣质高量抑制了冬季蛾增长(硼酸湖,尺蛾科)幼虫的广泛破坏这些树木在某些年份。下表列出了在第一次出生后28天两个样的幼虫平均重量。第一个示例是年轻饲养橡树叶,而第二个示例是在同一棵树上成熟叶片饲养的形式。
a.利用拉格朗日插值逼近每个样本的平均体重曲线。
找到一个近似的最高的每一项决定的插值多项式的最大样本的平均重量。
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