Adapt your VPython code do the following: Integrate x2 between -1 and 3 between using both the stone throwing approach and the mean value approach.     For m=1 & N=1000, what do you observe if you plot N vs calculated value of the function for both methods? For N=102, 103,104, 105, 106 and m=16 plot the N vs absolute error for both methods. What relationship fits this distribution of points? Comment on what you observe Now plot N against the Standard Deviation (the Variance) for both methods and comment on what you observe.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Adapt your VPython code do the following:
Integrate x2 between -1 and 3 between using both the stone throwing approach and the mean value approach.    

  1. For m=1 & N=1000, what do you observe if you plot N vs calculated value of the function for both methods?
  2. For N=102, 103,104, 105, 106 and m=16 plot the N vs absolute error for both methods. What relationship fits this distribution of points? Comment on what you observe
  3. Now plot N against the Standard Deviation (the Variance) for both methods and comment on what you observe.
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