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I need help with the first question please Project II, Numerical Analysis, MAD 3401 Due June 15, 2018 (Friday) 9:30am Problem 1: A car traveling

I need help with the first question please image text in transcribed
Project II, Numerical Analysis, MAD 3401 Due June 15, 2018 (Friday) 9:30am Problem 1: A car traveling along a straight road is clocked at a number of points. The 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. Time Distance 225 383 623 993 Speed 75 77 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 at t 10s. 10s? to en Problem 2: Write a program of the composite Simpson's rule. Apply the program 1-la e situar) with n = 8, 16, 32, 64, 128. The exact value of 1 is (2 sin 6-3 cos 6) + i 13 List the approximation results and the absolute errors for n - 8,16,32,64, 128 in a table. Form of the report: 1. Please show the required results. 2. Submit a hard copy of all codes. 3. Email all codes as attachment to xli@fiu.edu

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