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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
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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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:
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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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:
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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