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(ii) Write a program to make a graph of the value of the integrand f(t) = t*=le=' as a function oft from t = 0 to t = 20, with three separate curves for x = 2, 3, and 4, all on the same axes. Label your curves with legend. You should find that the integrand starts at zero, rises to a maximum, and then decays again for each curve. Your output should be similar to the sample plot shown. integrand in the Gamma function 14 -- x-2 12 X-3 10 0.8 0.6 04 0.2 0.0 0.0 25 5.0 75 10.0 12.5 15.0 17.5 20.0 (iii) Perform the integration I(x) = limBc0 Jo" f(t)dt for for x = 2, 3, and 4 using the module scipy.integrate(). You have to find out what is the best choice for the value B to use via trial and error so that the result obtained tallies with that obtained from (1) using math. gamma.

(ii) Write a program to make a graph of the value of the integrand f(t) = t*=le=' as a function oft from t = 0 to t = 20, with three separate curves for x = 2, 3, and 4, all on the same axes. Label your curves with legend. You should find that the integrand starts at zero, rises to a maximum, and then decays again for each curve. Your output should be similar to the sample plot shown. integrand in the Gamma function 14 -- x-2 12 X-3 10 0.8 0.6 04 0.2 0.0 0.0 25 5.0 75 10.0 12.5 15.0 17.5 20.0 (iii) Perform the integration I(x) = limBc0 Jo" f(t)dt for for x = 2, 3, and 4 using the module scipy.integrate(). You have to find out what is the best choice for the value B to use via trial and error so that the result obtained tallies with that obtained from (1) using math. gamma.

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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python code

import numpy as np
import matplotlib.pyplot as plt
import math
import scipy.integrate as si
(ii) Write a program to make a graph of the value of the integrand f(t) = t*-'e as a function of t from t = 0 to t = 20, with three separate curves for x = 2, 3, and 4, all on the same axes. Label your curves with legend. You should find that the integrand starts at zero, rises to a %3D maximum, and then decays again for each curve. Your output should be similar to the sample plot shown. integrand in the Gamma function 14 x=2 12 X=3 X=4 10 0.8 0.6 0.4 0.2 0.0 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 t (iii) Perform the integration I(x) = limB° f(t)dt for for x = 2, 3, and 4 using the module scipy.integrate(). You have to find out what is the best choice for the value B to use via trial and error so that the result obtained tallies with that obtained from (i) using math. gamma.
Transcribed Image Text:(ii) Write a program to make a graph of the value of the integrand f(t) = t*-'e as a function of t from t = 0 to t = 20, with three separate curves for x = 2, 3, and 4, all on the same axes. Label your curves with legend. You should find that the integrand starts at zero, rises to a %3D maximum, and then decays again for each curve. Your output should be similar to the sample plot shown. integrand in the Gamma function 14 x=2 12 X=3 X=4 10 0.8 0.6 0.4 0.2 0.0 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 t (iii) Perform the integration I(x) = limB° f(t)dt for for x = 2, 3, and 4 using the module scipy.integrate(). You have to find out what is the best choice for the value B to use via trial and error so that the result obtained tallies with that obtained from (i) using math. gamma.
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