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1. If f(x) = x³ + x is a periodic function with period 2r, then the Fourier series will have the properties such as a. ao = 0 c. b = 0 d. b = 1 b. a₁ = 0 2. If f(x) = x² + cos(x) is a periodic function with period 2W, then a. It is an odd function which gives a value of a = 0 b. Its Fourier series is classified as a Fourier cosine series where ao = 0 c. it is neither odd nor even function, thus no classification can be deduced. d. it is an even function which gives a value of b₁ = 0

1. If f(x) = x³ + x is a periodic function with period 2r, then the Fourier series will have the properties such as a. ao = 0 c. b = 0 d. b = 1 b. a₁ = 0 2. If f(x) = x² + cos(x) is a periodic function with period 2W, then a. It is an odd function which gives a value of a = 0 b. Its Fourier series is classified as a Fourier cosine series where ao = 0 c. it is neither odd nor even function, thus no classification can be deduced. d. it is an even function which gives a value of b₁ = 0

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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1. If f(x) = x³ + x is a periodic function with period 2r, then the Fourier series will have the properties such as a. ao = 0 b. a₁ = 0 c. b = 0 d. b = 1 2. If f(x) = x² + cos(x) is a periodic function with period 2W, then a. It is an odd function which gives a value of a = 0 b. Its Fourier series is classified as a Fourier cosine series where ao = 0 c. it is neither odd nor even function, thus no classification can be deduced. d. it is an even function which gives a value of b₂ = 0
Transcribed Image Text:1. If f(x) = x³ + x is a periodic function with period 2r, then the Fourier series will have the properties such as a. ao = 0 b. a₁ = 0 c. b = 0 d. b = 1 2. If f(x) = x² + cos(x) is a periodic function with period 2W, then a. It is an odd function which gives a value of a = 0 b. Its Fourier series is classified as a Fourier cosine series where ao = 0 c. it is neither odd nor even function, thus no classification can be deduced. d. it is an even function which gives a value of b₂ = 0
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