quiz_05inp_newton(1) - Multiple-Choice Test Chapter 05.03...

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Multiple-Choice Test Chapter 05.03 Newton’s Divided Difference Polynomial Method 1. If a polynomial of degree n has 1 + n zeros, then the polynomial is (A) oscillatory (B) zero everywhere (C) quadratic (D) not defined 2. The following y x , data is given. x 1 5 1 8 22 y 2 4 3 7 25 The Newton’s divided difference second order polynomial for the above data is given by ( 29 ( 29 ( 29 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 3. The polynomial that passes through the following y x , data x 1 8 2 2 24 y ? 2 5 123 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 ( 29 ( 29 ( 29 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 05.04.1
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05.04.2 Chapter 05.03 4. Velocity vs. time data for a body is approximated by a second order Newton’s
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quiz_05inp_newton(1) - Multiple-Choice Test Chapter 05.03...

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