Co OCT/SOV013 Question 3 () Conesdes the data 0 25 00 Consa wct the drvaled daference s Lable for the data (2) () Co...
Question 3 (a) Consider the data. 00 0 25 0.5 05 () Construct the divaded difference's table for the data (u) Construct the Newton form of the polynomial of lowest degree that interpolates /() at these points (3) (ii) Suppose that these data were generated by the function cos 2 ()=1+ 2 Use the next term rule to approximate the error Ip(z)- f() over the interval 0,0 5 Your answer should be a pumber 3 (b) Let F ((z) co+...
Question 3 (a) Consides the data 00 025 05 05 (2) (i) Cousta uct the divided difference's table for the data (u) Construct the Newton forin of the polynomial p(a) of lowest degree that ntes polates /() at these points (3) (un) Suppose that these data were generated by the fun ton cos 22 )= 1+ 2 Use the nest term rule to appioumate the erior lp()- /() over the inter val [0,0 5 (3) Your anwer should be a...