quiz_07int_simpson(1) - 702.039. The estimate of the same...

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07.03.1 Multiple-Choice Test Chapter 07.03 Simpson’s 1/3 Rule 1. The highest order of polynomial integrand for which Simpson’s 1/3 rule of integration is exact is (A) first (B) second (C) third (D) fourth 2. The value of 2 . 2 2 . 0 dx e x by using 2-segment Simpson’s 1/3 rule most nearly is (A) 7.8036 (B) 7.8423 (C) 8.4433 (D) 10.246 3. The value of 2 . 2 2 . 0 dx e x by using 4-segment Simpson’s 1/3 rule most nearly is (A) 7.8036 (B) 7.8062 (C) 7.8423 (D) 7.9655 4. The velocity of a body is given by 5 1 , 2 ) ( = t t t v 14 5 , 3 5 2 < + = t t where t is given in seconds, and v is given in m/s. Using two-segment Simpson’s 1/3 rule, the distance in meters covered by the body from 2 = t to 9 = t seconds most nearly is (A) 949.33 (B) 1039.7 (C) 1200.5 (D) 1442.0
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07.03.2 Chapter 07.03 07.03.2 5. The value of 19 3 ) ( dx x f by using 2-segment Simpson’s 1/3 rule is estimated as
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Unformatted text preview: 702.039. The estimate of the same integral using 4-segment Simpson’s 1/3 rule most nearly is (A) ( ) ( ) ( ) [ ] 15 2 11 7 2 3 8 039 . 702 f f f + − + (B) ( ) ( ) ( ) [ ] 15 2 11 7 2 3 8 2 039 . 702 f f f + − + (C) ( ) ( ) [ ] 15 2 7 2 3 8 039 . 702 f f + + (D) ( ) ( ) [ ] 15 2 7 2 3 8 2 039 . 702 f f + + 6. The following data of the velocity of a body is given as a function of time. Time (s) 4 7 10 15 Velocity (m/s) 22 24 37 46 The best estimate of the distance in meters covered by the body from 4 = t to 15 = t using combined Simpson’s 1/3 rule and the trapezoidal rule would be (A) 354.70 (B) 362.50 (C) 368.00 (D) 378.80 For a complete solution, refer to the links at the end of the book....
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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quiz_07int_simpson(1) - 702.039. The estimate of the same...

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