For each of the following data sets, write a system of equations to determine the coefficients of the natural cubic splines passing through the given points. If a computer program is available, solve the system of equations and graph the splines. a. X 4 7. 12 b. x 4. 10 15 35 00 2. 2.

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ISBN:9780470458365
Author:Erwin Kreyszig
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1. For each of the following data sets, write a system of equations to determine the
coefficients of the natural cubic splines passing through the given points. If a computer
program is available, solve the system of equations and graph the splines.
a. X
4.
7
8.
12
b. x
3.
10
15
35
2.
Transcribed Image Text:1. For each of the following data sets, write a system of equations to determine the coefficients of the natural cubic splines passing through the given points. If a computer program is available, solve the system of equations and graph the splines. a. X 4. 7 8. 12 b. x 3. 10 15 35 2.
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