The complex Fourier series representation of a periodic function of period 2π is given by Σ 8=18 FS(t) = Cne int, where c₂ = 4+ Cn 3 n3 (4-3(−1)″)j . Find, to three decimal places, the amplitude |cn| and phase on for n = 1, 2. Enter the real and imaginary values of c-₁ in the appropriate boxes below. Enter |c₁| correct to 3 decimal places: Enter ₁ correct to 3 decimal places: Enter c₂ correct to 3 decimal places:
The complex Fourier series representation of a periodic function of period 2π is given by Σ 8=18 FS(t) = Cne int, where c₂ = 4+ Cn 3 n3 (4-3(−1)″)j . Find, to three decimal places, the amplitude |cn| and phase on for n = 1, 2. Enter the real and imaginary values of c-₁ in the appropriate boxes below. Enter |c₁| correct to 3 decimal places: Enter ₁ correct to 3 decimal places: Enter c₂ correct to 3 decimal places:
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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Transcribed Image Text:Question 6.
The complex Fourier series representation of a periodic function of period 2π is given by
∞
Σ
n=-∞
FS(t)
=
спе
where cn = 4+
e-int
I
3
73 (4-3(-1) ¹)j.
n³
Find, to three decimal places, the amplitude cn and phase on for n = 1,2.
Enter the real and imaginary values of c_₁ in the appropriate boxes below.
Enter |c₁| correct to 3 decimal places:
Enter ₁ correct to 3 decimal places:
Enter c₂ correct to 3 decimal places:
Enter 2 correct to 3 decimal places:
Enter the real part of c_₁:
Enter the imaginary part of c_1:
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Transcribed Image Text:Question 6.
The complex Fourier series representation of a periodic function of period 2π is given by
∞
Σ
n=-∞
FS(t)
=
спе
where cn = 4+
e-int
I
3
73 (4-3(-1) ¹)j.
n³
Find, to three decimal places, the amplitude cn and phase on for n = 1,2.
Enter the real and imaginary values of c_₁ in the appropriate boxes below.
Enter |c₁| correct to 3 decimal places:
Enter ₁ correct to 3 decimal places:
Enter c₂ correct to 3 decimal places:
Enter 2 correct to 3 decimal places:
Enter the real part of c_₁:
Enter the imaginary part of c_1:
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