说明：  no intro
(Objective: to calculate interpolation Background: It is suspected that large amounts of tannic acid in mature oak leaves inhibit the Operophtera Bromate L., Geometridae) the growth of larvae and the moth caused great damage to oak trees in a certain period of time. The following table shows the average weight of the two larvae at 28 days after birth. The larvae in the first sample were reared on young oak leaves, while the larvae in the second sample were reared in the same way On a tree, on a mature leaf. You need to do the following: a. For each sample, the free cubic spline is used to pass the near average weight curve. b. For each example, the maximum approximation of the average weight is obtained by determining the maximum value of the spline function. Sample: Day 0 6 10 13 17 20 28 Sample 1 average weight (mg) 6.67 17.33 42.67 37.33 30.10 29.31 28.74 Sample 2 average weight (mg) 6.67 16.11 18.89 15.00 10.56 9.44 8.89)