sample problems

# sample problems - BMES673 Sample Problems(optional 1 The...

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BMES673 Sample Problems (optional) 1. The following y x , data is given. x 15 18 22 y 24 37 25 The Newton’s divided difference second order polynomial for the above data is given by     18 15 15 ) ( 2 1 0 2 x x b x b b x f The value of 1 b is most nearly (A) –1.0480 (B) 0.14333 (C) 4.3333 (D) 24.000 2. The polynomial that passes through the following y x , data x 18 22 24 y ? 25 123 is given by , 3237 75 . 324 125 . 8 2 x x 24 18 x The corresponding polynomial using Newton’s divided difference polynomial is given by     22 18 18 ) ( 2 1 0 2 x x b x b b x f The value of 2 b is most nearly (A) 0.25000 (B) 8.1250 (C) 24.000 (D) not obtainable with the information given 3. Given the two points        b f b a f a , , , , the linear Lagrange polynomial   x f 1 that passes through these two points is given by (A)    b f b a a x a f b a b x

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sample problems - BMES673 Sample Problems(optional 1 The...

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