1. GIVEN: (z²,-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
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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