Fa06Ex3 - EGN 3420 Fa 06 Exam 3 Name _ Write your answers...

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EGN 3420 Exam 3 Name _________________ Fa 06 Write your answers on the Answer Sheet only after you are sure of your answer. Any answer crossed out will be marked wrong. There may be more than one correct answer from the choices. Enter all the ones which you believe are correct. Each correct answer is worth 5 pts Each incorrect answer results in 2 pts deducted from your score Blank answers result in no credit added or subtracted. The following data was taken from an unknown function ( ). y f x = i i x ( ) i i y f x = 1 0 0 2 1 2 3 2 10 4 3 30 1. The third order polynomial that passes thru all the data points is 2 3 3 0 1 2 3 ( ) f x a a x a x a x = + + + a) 0 1 2 3 1, 1, 1, 1, a a a a = = = = b) 0 1 2 3 0, 2, 1, 0, a a a a = = = - = c) 0 1 2 3 0, 1, 0, 1 a a a a = = = = d) 0 1 2 3 1, 0, 1, 1 a a a a = = = - = e) 0 1 2 3 0, 1, 0, 1 a a a a = = = = f) none of the above 2. The third order polynomial 3 (0.5) f = a) 0.5 b) 0.625 c) 0.75 d) 1 e) 0 3. The third order Lagrange polynomial 3 ( ) f x that passes thru all the data points is a) 3 ( ) ( 2)( 3) 2 ( 1)( 3) ( 1)( 2) f x x x x x x x x x x = - - - - - + - - b) 3 ( ) 2 ( 2)( 3) 5 ( 1)( 3) ( 1)(
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This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Fa06Ex3 - EGN 3420 Fa 06 Exam 3 Name _ Write your answers...

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