9. Use numerical integration to find the first ten terms in a Fourier series for the function sin x on the range 0 < x
9. Use numerical integration to find the first ten terms in a Fourier series for the function sin x on the range 0 < x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![9. Use numerical integration to find the first ten terms in a Fourier series for the function
sin x on the range 0 <x <T. Discuss the percent error between your series and the
function sin x2 over the given range.
please show fırst ten terms in fourier series and
discuss percent error. thank you](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5aeb0bbf-8ac5-4c2c-9e55-1f2277d00b1f%2Fc40e4c54-03ad-4458-a607-251867d3c0f1%2Fequ0pk1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. Use numerical integration to find the first ten terms in a Fourier series for the function
sin x on the range 0 <x <T. Discuss the percent error between your series and the
function sin x2 over the given range.
please show fırst ten terms in fourier series and
discuss percent error. thank you
Expert Solution
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Step 1
Given:
The Fourier series includes the numerical integration being the function of sin x2 that includes the range 0 < x < π. The percent error based on the series that includes the function sin x2 over the given range.
Step 2
The Fourier series are explained as follow,
The equation as follows,
S(x)= b1 sinx +b2 sin2x+b3 sin3x+.....
Step 3
Hence, the equation becomes,
The values becomes as,
Step by step
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