2. The following data defines the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: \begin{tabular}{c|ccccc} $T$ & 0 & 8 & 16 & 24 & 32 \\ \hline $O$ & 14.621 & 11.843 & 9.870 & 8.418 & 7.305 \end{tabular} Write a MATLAB code for Lagrange Interpolation to find 1st degree and 2nd degree polynomial approximation to the value of $O(27)$.
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T = [0 8 16 24 32]; O = [14.621 11.843 9.870 8.418 7.305]; Show more…
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The following data define the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: T°C | 0 | 8 | 16 | 24 | 32 | 40 o,mg/L | 14.621 | 11.843 | 9.870 | 8.418 | 7.305 | 6.413 Estimate o(27) using Newton’s interpolating polynomials and Lagrange Polynomials, (a) linear interpolation (b) Quadratic Interpolation (c) 3. Order Polynomial (d) 4. Order Polynomial
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