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Given n data points {xi , yi}i=1,..,n such that f(xi) = yi , how many unknowns are there if a 4th order (quartic) spline is

Given n data points {xi , yi}i=1,..,n such that f(xi) = yi , how many unknowns are there if a 4th order (quartic) spline is to be fitted to this data? Deduce the conditions required to solve the unknowns. Do you have enough conditions? If not, what conditions can you impose?

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