Suppose the function eª is approximated by 1+x+ on [0, 1]. Write a Python program to perform the following tasks (a) Create a partition of the interval [0, 1] using 50 points. (b) Plot the functions eª and 1+x+ on your grid points. (c) Calculate the absolute and relative error of the approximation at x = 1. (d) Calculate the discrete, loo, l1, and l₂ norms of the approximation error over the entire interval [0, 1]

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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Suppose the function eª is approximated by 1+x+ on [0, 1]. Write
a Python program to perform the following tasks
(a) Create a partition of the interval [0, 1] using 50 points.
(b) Plot the functions eª and 1+x+2 on your grid points.
(c) Calculate the absolute and relative error of the approximation at
x = 1.
(d) Calculate the discrete, loo, l₁, and l2 norms of the approximation
error over the entire interval [0, 1]
Transcribed Image Text:Suppose the function eª is approximated by 1+x+ on [0, 1]. Write a Python program to perform the following tasks (a) Create a partition of the interval [0, 1] using 50 points. (b) Plot the functions eª and 1+x+2 on your grid points. (c) Calculate the absolute and relative error of the approximation at x = 1. (d) Calculate the discrete, loo, l₁, and l2 norms of the approximation error over the entire interval [0, 1]
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