Q2. Write a code for a pseudorandom number generator in Python and use it to evaluate 5π/2 3π/2 In(x) cos(x)dx. (You must program your own pseudorandom number generator and may not use any of Python's built-in pseudorandom number generators.) Note: (i) The maximum value attained by the function In(x) cos(x) over the interval [3π/2, 5π/2] is approximately 1.84. (ii) Modular arithmetic in Python is denoted by the "%" symbol. For example, to find a mod b you would input "a % b". It might be more convenient to use "np.mod(a*u + b, m)" for solving a recursive equation to produce pseudorandom numbers in the interval (0, m).

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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Q2. Write a code for a pseudorandom number generator in Python and use it to
evaluate
r5/2
[5/² ln(x) cos(x)dx.
3π/2
(You must program your own pseudorandom number generator and may not use any of
Python's built-in pseudorandom number generators.)
Note:
(i) The maximum value attained by the function In(x) cos(x) over the interval [37/2, 57/2]
is approximately 1.84.
(ii) Modular arithmetic in Python is denoted by the "%" symbol. For example, to find a
mod b you would input "a % b".
It might be more convenient to use "np.mod(a*u + b, m)" for solving a recursive
equation to produce pseudorandom numbers in the interval (0, m).
Transcribed Image Text:Q2. Write a code for a pseudorandom number generator in Python and use it to evaluate r5/2 [5/² ln(x) cos(x)dx. 3π/2 (You must program your own pseudorandom number generator and may not use any of Python's built-in pseudorandom number generators.) Note: (i) The maximum value attained by the function In(x) cos(x) over the interval [37/2, 57/2] is approximately 1.84. (ii) Modular arithmetic in Python is denoted by the "%" symbol. For example, to find a mod b you would input "a % b". It might be more convenient to use "np.mod(a*u + b, m)" for solving a recursive equation to produce pseudorandom numbers in the interval (0, m).
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