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...

Please use Matlab or Python codes to solve the question, thanks!


Extracted text: 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. а. х 4 7 y 8. 12 b. x 3 4 y 10 15 35 с. х 1 y 10 30 d. x 2 4 y 10 40 6, 2.