1. Find the Lagrange form of interpolating polynomial p2(x) that interpolates the function f(x)=ex2 at the nodes x0=1,x1=0 and x2=1. Further, find the value of p2(0.9) (use 6 -digit rounding). Compare the value with the true value f(0.9) (use 6-digit rounding). Find the percentage error in this calculation. 2. Find the Newton form of interpolating polynomial for the data and interpolate the following values f(2),f(1),f(2),f(4). 3. Corroborate your previous problems solution using MATLAB. Add to the pdf file the MATLAB output for each of the problems