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A periodic function f(t) has a Fourier series ∞ F(t) = 1 + (n ²) cos(nnt) + Σ n=1 Select one: Select the option that gives first few terms of the Fourier series up to and including terms involving 3πt. 1 + cos(at) 1 19 Ž (-(-1)² + ¹) n 1 10 sin(nat). 21

A periodic function f(t) has a Fourier series ∞ F(t) = 1 + (n ²) cos(nnt) + Σ n=1 Select one: Select the option that gives first few terms of the Fourier series up to and including terms involving 3πt. 1 + cos(at) 1 19 Ž (-(-1)² + ¹) n 1 10 sin(nat). 21

Advanced Engineering Mathematics
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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A periodic function f(t) has a Fourier series F(t) = 1 + Σ (n−²) cos(nat) + n=1 Select one: O O O −(−1)" +1 + Σ(¯- (= n=1 Select the option that gives first few terms of the Fourier series up to and including terms involving 3πt. n 1 1 1 + cos(πt) + cos(2πt) + 4 9 1+ cos(nt) + cos(2πt) + cos(3πt) + 2 sin(2πt) 1 1 1 + cos(πt) + = cos(2πt) + 4 9 1 1 1 + cos(πt) + = cos(2nt) + 4 9 cos(3πt) + sin(πt) + 1 sin(nat). 3 sin(3πt) 2 cos(3πt) + 2 sin(πt) + sin(3πt) 3 O 1+ cos(at) + cos(2πt) + cos(3πt) + 2 sin(nt) + 2 sin(3mt) cos(3mt) + sin(2πt)
Transcribed Image Text:A periodic function f(t) has a Fourier series F(t) = 1 + Σ (n−²) cos(nat) + n=1 Select one: O O O −(−1)" +1 + Σ(¯- (= n=1 Select the option that gives first few terms of the Fourier series up to and including terms involving 3πt. n 1 1 1 + cos(πt) + cos(2πt) + 4 9 1+ cos(nt) + cos(2πt) + cos(3πt) + 2 sin(2πt) 1 1 1 + cos(πt) + = cos(2πt) + 4 9 1 1 1 + cos(πt) + = cos(2nt) + 4 9 cos(3πt) + sin(πt) + 1 sin(nat). 3 sin(3πt) 2 cos(3πt) + 2 sin(πt) + sin(3πt) 3 O 1+ cos(at) + cos(2πt) + cos(3πt) + 2 sin(nt) + 2 sin(3mt) cos(3mt) + sin(2πt)
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