Sp00exF_soln - Sp 00 EGN 3420 FINAL Name_ SHOW ALL WORK!...

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Sp 00 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 1 (35 pts) Consider the definite integral 2 I ( ) where =0 , =1 and ( )= x b a e f x dx a b f x - = , A) Use Simpson's Rule with 8 intervals to approximate I. Fill in the table below with f ( x i ) rounded to 4 places after the decimal point. Express your answer to 4 places after the decimal point. i x i f i = f ( x i ) 0 0.0000 1.0000 1 0.1250 0.9845 2 0.2500 0.9394 3 0.3750 0.8688 4 0.5000 0.7788 5 0.6250 0.6766 6 0.7500 0.5698 7 0.8750 0.4650 8 1.0000 0.3679 1 8 0 1 3 5 7 2 4 6 8 [ 4( ) 2( ) ] 3 0.7468 I f f f f f f f f f = + + + + + + + + =
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B) Use the Gauss Quadrature two point formula to approximate I. Express your answer to 4 places after the decimal point.
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Sp 00 EGN 3420 FINAL Name_______________________ SHOW ALL WORK! Problem 2 (35 pts) The following data points were obtained experimentally. x i y i x i 2 x i y i 1 0 1 0 2 2 4 4 5 17 25 85 7 34 49 238 10 85 100 850 Σ x i = 25 Σ y i = 138 Σ x i 2 = 179 Σ x i y
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Sp00exF_soln - Sp 00 EGN 3420 FINAL Name_ SHOW ALL WORK!...

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