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]
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]
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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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4aac48a-4d20-41e4-aba5-4ec9a336b2fd%2F585ba1e4-0d4c-4a53-94e7-99d561cb09bf%2Fgx3gy9_processed.png&w=3840&q=75)
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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