# Fa06Ex1b - EGN 3420 Fa 06 Exam I Name Write your answers on...

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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 a 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 = is a) 0.5( / 2) x - b) / 2 x - c) 2 ( / 2) x - d) ( / 2)( / 2) x - - e) 2 0.5( / 2) x - 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 = is a) 2 0.5( / 2) x - b) 0.5( / 2) x - c) 2 ( / 2) x - d) ( / 2)( / 2) x - - e) / 2 x - 3. The first order truncated Taylor Series Expansion of ( ) f x about the point 0 / 2 x = is denoted by 1 . ( ) f x The value of 1 ( /3) f is a) / 4 b) / 2 c) /3 d) 0.8660 e) 0.7071 4. The error 1 ( / 3) ( / 3) T E f f = - in 1 ( / 3) f is a) 0.2473 b) 0.1892 - c) 0 d) 0.9069 e) 0.4761 5. Which of the following statements is false? a) 3 0 0 ( ) ( ) f x f x b) ( ) 0 f = c) ( / 2) / 2 f = 2 3 2 1 ( ) ( ) 2 2 2 f x f x x  = + - -   e) Today is either Mon or Wed

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Fa06Ex1b - EGN 3420 Fa 06 Exam I Name Write your answers on...

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