1. GIVEN: (z²,-1
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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![1. GIVEN:
(z²,-1<z< 0
f(z) = { 0,0< z <1
a) Calculate the FOURIER SERIES of the given STEP FUNCTION if f(z) =
nnz
ao + E=1 an cos + E, b, sin nz
b) Graph the complete series in the f(z) vs z plane.
2. Determine the FOURIER COSINE series of f(x) = 2x² in the interval 0 <
z < T.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69fb82ae-46d6-402d-b411-33c9570166c4%2F3816e7bd-4c48-49e6-8524-b4d5af9c09fb%2Fsa1veti_processed.png&w=3840&q=75)
Transcribed Image Text:1. GIVEN:
(z²,-1<z< 0
f(z) = { 0,0< z <1
a) Calculate the FOURIER SERIES of the given STEP FUNCTION if f(z) =
nnz
ao + E=1 an cos + E, b, sin nz
b) Graph the complete series in the f(z) vs z plane.
2. Determine the FOURIER COSINE series of f(x) = 2x² in the interval 0 <
z < T.
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