1. You are to determine the optimum water content and the corresponding maximum dry unit weight of the soil at a location through testing five soil samples with different water content. The data is summarized in the table below: Dry unit weight y, N/m3 15365.91 17004.00 17221.22 16093.31 15243.99 water content (w, %) 10.45 12.50 15.07 17.65 19.70 Create a program that will give a smooth curve that will pass through the data points and determine the optimum water content % (independent variable) and the maximum dry unit weight (dependent variable) of the soil at the location. hint: maximum dry unit weight is the peak of the curve and the derivative at that point is zero.

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Chapter1: Units, Trigonometry. And Vectors
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Use cubic spline interpolation

1. You are to determine the optimum water content and the corresponding maximum
dry unit weight of the soil at a location through testing five soil samples with
different water content. The data is summarized in the table below:
Dry unit
weight y,
N/m3
15365.91
17004.00
17221.22
16093.31
15243.99
water
content (w,
%)
10.45
12.50
15.07
17.65
19.70
Create a program that will give a smooth curve that will pass through the data points
and determine the optimum water content % (independent variable) and the
maximum dry unit weight (dependent variable) of the soil at the location. hint:
maximum dry unit weight is the peak of the curve and the derivative at that point is
zero.
Transcribed Image Text:1. You are to determine the optimum water content and the corresponding maximum dry unit weight of the soil at a location through testing five soil samples with different water content. The data is summarized in the table below: Dry unit weight y, N/m3 15365.91 17004.00 17221.22 16093.31 15243.99 water content (w, %) 10.45 12.50 15.07 17.65 19.70 Create a program that will give a smooth curve that will pass through the data points and determine the optimum water content % (independent variable) and the maximum dry unit weight (dependent variable) of the soil at the location. hint: maximum dry unit weight is the peak of the curve and the derivative at that point is zero.
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