Question 1A: https://www.chegg.com/homework-help/questions-and-answers/1-lagrange-interpolation-formula-evaluates-y-p-z-given-p-unique-degree-n-polynomial-interp-q35308897?trackid=GxkF_fVf

Question 1B: https://www.chegg.com/homework-help/questions-and-answers/1-lagrange-interpolation-formula-jfi-evaluates-y-p-x-z-given-p-unique-degree-n-polynomial--q35309160?trackid=GxkF_fVf

Question 1C: https://www.chegg.com/homework-help/questions-and-answers/question-1a-https-wwwcheggcom-homework-help-questions-answers-1-lagrange-interpolation-for-q35420103?trackid=V-INDNuV

Question 2: https://www.chegg.com/homework-help/questions-and-answers/question-1a-https-wwwcheggcom-homework-help-questions-answers-1-lagrange-interpolation-for-q35420092?trackid=iD7rN0Xe

1. The Lagrange interpolation formula, JFi evaluates y-p(x),where z is given and p is the (unique) degree-n polynomial that interpolates n+1 given coor- dinate pairs, (oyo).(i,) (nyn). Interpolates" means intersects, i.e., y-plrt) for i 0,,,n.) (c) Extend your code to allow x to be an array, so that y is an array of the same dimensions, each entry being the Lagrange interpolation formula evaluated at the corresponding entry of x. Reusing from Part (a) the polynomial function p and the arrays X and Y, run the following commands xlinspace (min (x)-1, max(X)+1, 100) plot (x, px), 'ko:', x, linterpCX, Y, x), 'rx: ') The red xs should coincide with the black os