Holistic Numerical Methods

Transforming Numerical Methods Education for the STEM Undergraduate

 

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MULTIPLE CHOICE TEST

(All Tests)

TRAPEZOIDAL RULE

(More on Trapezoidal Rule)

INTEGRATION

(More on Integration)

Pick the most appropriate answer


Q1. The two-segment trapezoidal rule of integration is exact for integrating at most ______ order polynomials.

 

first

second
third
fourth


 

 Q2. The value of by using the one-segment trapezoidal rule is most nearly

11.672

11.807

20.099

24.119


 

 Q3. The value of by using the three-segment trapezoidal rule is most nearly

11.672
11.807

12.811
14.633


 

Q4. The velocity of a body is given by

             

       

where t is given in seconds, and v is given in m/s.  Use the two-segment Trapezoidal Rule to find the distance covered by the body from t=2 to t=9 seconds.

935.0 m

1039.7 m

1260.9 m

5048.9 m


 

Q5. The shaded area shows a plot of land available for sale.  The numbers are given in meters measured from the origin.  Your best estimate of the area of the land in square meters is most nearly

2500

4775

5250

6000


 

1.                Q6. The following data of the velocity of a body as a function of time is given as follows.

Time (s)

0

15

18

22

24

Velocity (m/s)

22

24

37

25

123

The distance in meters covered by the body from t=12 s to t=18 s calculated using using Trapezoidal Rule with unequal segments most nearly is

162.9

166.0

181.7

436.5


 

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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