Fa06exQ3 - 3 1 2 3 1 2 3 2 1 3 3 1 2 ( ) ( )( )( ) ( )( )(...

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EGN 3420 QUIZ Name _______________________ Data from an unknown function ( ) f x is shown in the table below. x ( ) f x 0 3 x = 0 ( ) 0 f x = 1 2 x = 1 ( ) 2 f x = 2 1 x = 2 ( ) 1 f x = 3 0 x = 3 ( ) 2 f x = a) Find the coefficients 0 1 2 3 , , , c c c c in the 3 rd order Lagrange interpolating polynomial. (10 pts)
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Unformatted text preview: 3 1 2 3 1 2 3 2 1 3 3 1 2 ( ) ( )( )( ) ( )( )( ) ( )( )( ) ( )( )( ) f x c x x x x x x c x x x x x x c x x x x x x c x x x x x x =---+---+---+---Ans. 1 2 3 c c c c = = = =...
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