Holistic Numerical Methods

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MULTIPLE CHOICE TEST

(All Tests)

SIMPSON 1/3RD RULE

(More on Simpson 1/3rd Rule)

INTEGRATION

(More on Integration)

Pick the most appropriate answer


Q1. The highest order of polynomial integrand for which  Simpsonís 1/3 rule of integration is exact is

first

second
third
fourth


 Q2. The value of by using two-segment Simpson's 1/3 rule is most nearly

7.8306

7.8423

8.4433

10.246


 

Q3. The value of by using four-segment Simpson's 1/3 rule is most nearly

7.8036
7.8062

7.8423
7.9655



Q4. The velocity of a body is given by

 

      

 where t is given in seconds, and v is given in m/s.  Using two-segment Simpson's 1/3 rule, the distance covered in meters by the body from t=2 to t=9 seconds most nearly is

949.33

1039.7

1200.5

1442.0


Q5. The value of   by using two-segment Simpsonís 1/3 rule is estimated as 702.039.  The estimate of the same integral using four-segment Simpsonís 1/3 rule most nearly is

702.39 + 8/3 [2f(7)-f(11)+2f(15)]

702.39/2 + 8/3 [2f(7)-f(11)+2f(15)]

702.39 + 8/3 [2f(7)+2f(15)]

702.39/2 + 8/3 [2f(7)+2f(15)]

 


 Q6. 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 t=4 to t=15 using combined Simpsonís 1/3rd rule and the trapezoidal rule would be

354.70

362.50

368.00

378.80


 

Complete Solution

 

 

 

Multiple choice questions on other topics


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Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805, 1322586.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

 

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