1. GIVEN: (-1,0 ≤v<2 f(v) = 0,2 ≤v<4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given step function of f(v) = a₁ + = 1 an cos 00 ηπο Р

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:
(-1,0 ≤v<2
f(v) = 0,2 ≤v<4
(4v, 4 ≤v < 6
Calculate the FOURIER COSINE SERIES of the given step function of
f(v) = a₁ + = 1 an cos
100
ηπο
2. GIVEN: f(z) = 2z-5,0 ≤ z < 10
a) Find the FOURIER SERIES of the ODD extension of the given function, if
NIZ
fodd (2) =a + En=1 an cos? +1 bn sin
P
b) Graph fodd (2),-10 ≤z < 10
nπz
P
Transcribed Image Text:1. GIVEN: (-1,0 ≤v<2 f(v) = 0,2 ≤v<4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given step function of f(v) = a₁ + = 1 an cos 100 ηπο 2. GIVEN: f(z) = 2z-5,0 ≤ z < 10 a) Find the FOURIER SERIES of the ODD extension of the given function, if NIZ fodd (2) =a + En=1 an cos? +1 bn sin P b) Graph fodd (2),-10 ≤z < 10 nπz P
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