Fa00exF - Fa 2000 EGN 3420 FINAL Name_ SHOW ALL WORK!...

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Fa 2000 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 1 (25 pts) Consider the definite integral 1.6 9 0 10 I x dx = Fill in the table below with the integrand f ( x i ) rounded to 6 places after the decimal point. i x i f ( x i ) 0 1 2 3 4 5 6 7 8 A) Use Trapezoidal Integration with 4 intervals to approximate I. Express your answer to 6 places after the decimal point. B) Use Trapezoidal Integration with 8 intervals to approximate I. Express your answer to 6 places after the decimal point. C) Use the results of Parts A) and B) to approximate I. Express your answer to 6 places after the decimal point. D) Find the per cent true relative error in Parts A), B) and C). Express your answer to 2 places after the decimal point.
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EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 2 (20 pts) Consider the definite integral 2 4 1 5 I x dx = A) Use the Gauss Quadrature two point formula to approximate I. Express your answer to 6 places after the decimal point. B) Find the per cent true relative error in Part A). Express your answer to 6 places
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Fa00exF - Fa 2000 EGN 3420 FINAL Name_ SHOW ALL WORK!...

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