Part B. MATLAB Problem

The code must output the following:

Use zero-through third-order Taylor series expansion to predict f(3) for f(x) = 25x - 62? + 7x - 88 using a base point at x = 1. Compute the relative true error (%) and the relative approximate error (%) for each approximation. Do this by hand. Compute relative true error (%) and relative approximate error (%) as terms are added. Create a table that shows the order, calculated value of f(3), relative true error and relative approximate error. b. Write a Matlab function to evaluate the Taylor series. Compute relative true error (%) and relative approximate error (%) as terms are added. Create a table that shows the order, calculated value of f(3), relative true error and relative approximate error. 5x4 table Order Calculated Value RIE RAE 0 -62 11119 1 78 85.921 36.101 100 17949 77.966 36 101 2 354 3 554 0 4 554 0 0 Use zero-through third-order Taylor series expansion to predict f(3) for f(x) = 25x - 62? + 7x - 88 using a base point at x = 1. Compute the relative true error (%) and the relative approximate error (%) for each approximation. Do this by hand. Compute relative true error (%) and relative approximate error (%) as terms are added. Create a table that shows the order, calculated value of f(3), relative true error and relative approximate error. b. Write a Matlab function to evaluate the Taylor series. Compute relative true error (%) and relative approximate error (%) as terms are added. Create a table that shows the order, calculated value of f(3), relative true error and relative approximate error. 5x4 table Order Calculated Value RIE RAE 0 -62 11119 1 78 85.921 36.101 100 17949 77.966 36 101 2 354 3 554 0 4 554 0 0