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QUIZ-2-Answers - QUIZ#2 ENGR 3723 PROBLEM 1 Write down a...

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Unformatted text preview: QUIZ #2 ENGR 3723 PROBLEM 1 Write down a) the first 5 terms of the Taylor expansion for a function of one variable f ( x ). ANSWER: ........ ! 4 ) ( ) ( ! 3 ) ( ) ( ' ' ' ! 2 ) ( ) ( ' ' ) )( ( ' ) ( ) ( 4 1 2 1 ) ( 3 1 2 1 2 1 2 1 1 2 1 1 2 + − + − + − + − + = x x x f x x x f x x x f x x x f x f x f iv b) All terms of the Taylor expansion terms of a function of three variables, f ( x 1 , x 2 , x 3 ), up to the third derivative. ANSWER: ! 2 ) , ( ) , ( ) , , ( ! 2 ) , ( ) , ( ) , , ( ! 2 ) , ( ) , ( ) , , ( ! 2 ) , ( ) , , ( ! 2 ) , ( ) , , ( ! 2 ) , ( ) , , ( ) , ( ) , , ( ) , ( ) , , ( ) , ( ) , , ( ) , , ( ) , , ( , 3 1 , 3 , 2 1 , 2 3 2 , 3 , 2 , 1 2 , 3 1 , 3 , 1 1 , 1 3 1 , 3 , 2 , 1 2 , 2 1 , 2 , 1 1 , 1 2 1 , 3 , 2 , 1 2 2 , 3 1 , 3 2 3 , 3 , 2 , 1 2 2 , 2 1 , 2 2 2 , 3 , 2 , 1 2 2 , 1 1 , 1 2 1 , 3 , 2 , 1 2 , 3 1 , 3 3 , 3 , 2 , 1 , 2 1 , 2 2 , 3 , 2 , 1 , 1 1 , 1 1 , 3 , 2 , 1 3 , 2 , 1 1 , 3 1 , 2 1 , 1 i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i i...
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QUIZ-2-Answers - QUIZ#2 ENGR 3723 PROBLEM 1 Write down a...

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