Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Trapezoidal Rule of Integration

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

 

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