MatLab project. Write to pieces of code in MatLab. Thank you.

Problem 1: A car traveling along a straight road is clocked at a number of points data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second lol 31 sl 8113 Time Distance 22533 623 993 Speed 7577 80 74 72 Write a program which uses Newton's divided difference to compute the Hermite Output the divided difference table. What is the predicted position at polynomial to predict the position of the car att10s t 10s? Problem 2: Write a program of the composite Simpson's rule. Apply the program to Ier sin(3) dr with n-8, 16, 32, 64, 128. The exact value of 1 is e3 (2 sin 6-3 cos 6) + Ti. , 64, 128 List the approximation results and the absolute errors for n - 8, 16, 32 in a table. Form of the report: 1. Please show the required results. 2. Submit a hard copy of all codes