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Unformatted text preview: 07.05.1 Multiple-Choice Test Chapter 07.05 Gauss Quadrature Rule 1. âˆ« 10 5 ) ( dx x f is exactly (A) âˆ« âˆ’ + 1 1 ) 5 . 7 5 . 2 ( dx x f (B) âˆ« âˆ’ + 1 1 ) 5 . 7 5 . 2 ( 5 . 2 dx x f (C) âˆ« âˆ’ + 1 1 ) 5 5 ( 5 dx x f (D) âˆ« âˆ’ + 1 1 ) ( ) 5 . 7 5 . 2 ( 5 dx x f x 2. For a definite integral of any third order polynomial, the two-point Gauss quadrature rule will give the same results as the (A) 1-segment trapezoidal rule (B) 2-segment trapezoidal rule (C) 3-segment trapezoidal rule (D) Simpsonâ€™s 1/3 rule 3. The value of âˆ« 2 . 2 2 . dx xe x by using the two-point Gauss quadrature rule is most nearly (A) 11.672 (B) 11.807 (C) 12.811 (D) 14.633 07.05.2 Chapter 07.05 07.05.2 4. A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration for functions 1 ) ( = x f and x . The one-point Gauss quadrature rule approximation for âˆ« b a dx x f ) ( is (A) [ ] ) ( ) ( 2 b f a f a b + âˆ’ (B) + âˆ’ 2 ) ( b a f a b (C)...
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