quiz_07int_romberg - 12 3 a b E t − − = ξ" f b a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
07.04.1 Multiple-Choice Test Chapter 07.04 Romberg Rule 1. If n I is the value of integral ( ) b a dx x f using n -segment trapezoidal rule, a better estimate of the integral can be found using Richardson’s extrapolation as (A) 15 2 2 n n n I I I + (B) 3 2 2 n n n I I I + (C) n I 2 (D) n n n n I I I I 2 2 2 + 2. The estimate of an integral of ( ) 19 3 dx x f is given as 1860.9 using 1-segment trapezoidal rule. Given ( ) 27 . 20 7 = f , ( ) 125 . 45 11 = f , and ( ) 23 . 82 14 = f , the value of the integral using 2-segment trapezoidal rule would most nearly be (A) 787.32 (B) 1072.0 (C) 1144.9 (D) 1291.5 3. The value of an integral ( ) b a dx x f given using 1, 2, and 4 segments trapezoidal rule is given as 5.3460, 2.7708, and 1.7536, respectively. The best estimate of the integral you can find using Romberg integration is most nearly (A) 1.3355 (B) 1.3813 (C) 1.4145 (D) 1.9124
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon