If f(x) = x + sin(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 a = 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 If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined then, a. a shifting theorem can be applied on the first term b. a shifting theorem can be applied on the second term c. the Laplace transform is impossible. d. F(s) es/(e²+ s²) + s/(1+s²)². =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If f(x) = x + sin(x) is a periodic function with period 2W, then
It is an odd function which gives a value of a = 0
a.
b. Its Fourier series is classified as a Fourier cosine series where a = 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
If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined then,
a. a shifting theorem can be applied on the first term
b. a shifting theorem can be applied on the second term
c. the Laplace transform is impossible.
d. F(s) es/(e²+ s²) + s/(1+s²)².
=
Transcribed Image Text:If f(x) = x + sin(x) is a periodic function with period 2W, then It is an odd function which gives a value of a = 0 a. b. Its Fourier series is classified as a Fourier cosine series where a = 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 If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined then, a. a shifting theorem can be applied on the first term b. a shifting theorem can be applied on the second term c. the Laplace transform is impossible. d. F(s) es/(e²+ s²) + s/(1+s²)². =
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