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MEC 3456Lab-03-Solution-Moodle

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MAE3456 – MEC3456 LAB 03 SOLUTION QUESTION 1 [15 MARKS TOTAL] Q1a Let b=1 AND G/n = -1. By hand, calculate the Trapezoidal rule estimate of Q using values of W (y) calculated from equation 1. Us ... e 1, 2, and 4 intervals and also write the error in each approximation in a table like that below. SHOW all your working. ANSWER: [3 Marks for the Trap estimates in the table below PLUS clear description of working. Only half marks if just the answer ]MAE/MEC3456 – Computer Lab 01 Page 2 of 18 Number of intervals Trap. Estimate Error 1 0.0 0.083̛ 2 0.0625 0.020833 4 0.078125 0.005208 [1 mark for correct errors - +/- 10% is fine] Q1b Use Romberg integration (by hand) to calculate the most accurate estimate of the integral using ONLY the 3 estimates from the Trapezoidal rule calculated in Q1a. SHOW all your working, and present the answers from Q1 and all intermediate answers in a table like that below: ANSWER: [3 Marks for the answers in columns 2 and 3 in the table below PLUS clear description of working. Only half marks for the answers] [Show More]

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