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Fa06Ex1a - EGN 3420 Fa 06 Exam I Name Write your answers on...

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EGN 3420 Exam I Name _________________ Fa 06 Write your answers on the Answer Sheet. Note: At least one of the choices a) – e) is the correct answer. On some problems, your answer might be slightly different than the correct answer due to round off of calculations using a calculator. Given the function ( ) sin f x x x = and the point 0 , / 2 x π = 1. The 2 nd term in the Taylor Series Expansion of ( ) f x about the point 0 / 2 x π = is a) / 2 x π - b) 0.5( / 2) x π - c) 2 ( / 2) x π π - d) ( / 2)( / 2) x π π - - e) 2 0.5( / 2) x π - 2. The 2 nd term in 2 , ( ) f x the second order truncated Taylor Series Expansion of ( ) f x about the point 0 / 2 x π = is 3. The first order truncated Taylor Series Expansion of ( ) f x about the point 0 / 2 x π = is denoted by 1 . ( ) f x The value of 1 ( /3) f π is 4. The error 1 ( /3) ( /3) T E f f π π = - in 1 ( /3) f π is
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