1 Cubic interpolation Obtain a copy (free via the library) of the book by Quarteroni, Alfio, Fausto Saleri, and Paola Gervasio (2014); Scientific Computing with MATLAB and Octave; 4th edition; Vol. 2, Texts in Computational Science and Engineering; Springer; doi: 10.1007/978-3-642-45367-0. Write, document and execute a MATLAB script to answer Exercise 3.3 in this book 1.1. Set the data in the code of your script. 1.2. Construct a cubie interpolation in the Lagrange form: you may use to good effect MATLAB's dot-operators, auto-replication, and 1.3. Check your cubic interpolation by evaluating it at the years when 1.4. Compute the interpolation at the required years, storing the esti 1.5. List your script code and output in your assignment report function prodO. the data is specified. mates in a row vector for each of East and West 1.6. Submit your script code to MATLAB Grader for testing