Page 3 of 6 2. (30 points) The following data were measured precisely: . f(x) 4 1 3 2 3 8 1 4 (3 points) Calculate 1(2.2
Posted: Thu May 12, 2022 7:48 am
Page 3 of 6 2. (30 points) The following data were measured precisely: . f(x) 4 1 3 2 3 8 1 4 (3 points) Calculate 1(2.2) using first-order Newton's interpolating polynomial. Use data points at x 2 and x3 b) (9 points) Calculate f/2.2) using third-order Newton's interpolating polynomial. Use all data points c) (18 points) (14 points) Fit natural cubic splines to the data (i.e., develop the cubic splines for each interval), then (4 points) predict the function value at x = 2.2 and x-3.6.