sin x = x x3 x5 x7 x9 + + 3! 5! 7! 9! Create an Excel spreadsheet that calculates the absolute values of Et, %εt, Ea, %εa for the first four terms using x = π/2. Make a table like the one below: Terms Included Approximation Et % Et Ea % ɛa 1 2 3 4 Note: for this problem, just submit a screenshot of your Excel table. The formulas do not need to be shown (just the numbers in each cell). Do not submit a hand-written table. (2) Use Taylor's series expansion to derive the forward, backward, and centered finite differences for a second derivative, as well as the order of error for each. (Note: this is a hand-written problem. For this and future.
sin x = x x3 x5 x7 x9 + + 3! 5! 7! 9! Create an Excel spreadsheet that calculates the absolute values of Et, %εt, Ea, %εa for the first four terms using x = π/2. Make a table like the one below: Terms Included Approximation Et % Et Ea % ɛa 1 2 3 4 Note: for this problem, just submit a screenshot of your Excel table. The formulas do not need to be shown (just the numbers in each cell). Do not submit a hand-written table. (2) Use Taylor's series expansion to derive the forward, backward, and centered finite differences for a second derivative, as well as the order of error for each. (Note: this is a hand-written problem. For this and future.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Use Taylor’s series expansion to derive the forward, backward, and centered
finite differences for a second derivative, as well as the order of error for
each.
do problem 2 please

Transcribed Image Text:sin x = x
x3 x5
x7
x9
+
+
3!
5! 7! 9!
Create an Excel spreadsheet that calculates the absolute values of Et, %εt, Ea,
%εa for the first four terms using x = π/2. Make a table like the one below:
Terms Included Approximation
Et
% Et
Ea
% ɛa
1
2
3
4
Note: for this problem, just submit a screenshot of your Excel table. The
formulas do not need to be shown (just the numbers in each cell). Do not
submit a hand-written table.
(2)
Use Taylor's series expansion to derive the forward, backward, and centered
finite differences for a second derivative, as well as the order of error for
each. (Note: this is a hand-written problem. For this and future.
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