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I really need help with this!! 2. 10 points (no need to submit your code for this problem) The set of 4 data points are

image text in transcribedI really need help with this!!

2. 10 points (no need to submit your code for this problem) The set of 4 data points are given below: -2 1.95 1.25 1.75 (2a) Using Lagrange interpolation method to find the 3rd order polynomial that passes through the data points. Provide the details of the four Lagrange base functions. Use the interpolation result to calculate the value of yatx-2; (2b) Make the following plots: (i) the original data and the 3rd order polynomial together as a single plot; (ii) the four Lagrange base functions

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