The complex Fourier series representation of a periodic function of period 2π is given by ∞ Fs(t) = Σ n=1x Cne-int 2 n³ where cn = 2 + I -(5-6(-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-₁1 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:
The complex Fourier series representation of a periodic function of period 2π is given by ∞ Fs(t) = Σ n=1x Cne-int 2 n³ where cn = 2 + I -(5-6(-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-₁1 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:
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
FS(t) =
=
∞
n=1x
Cne-int
I
where c = 2 + (5 – 6(−1)”)j .
2
Cn
N³
Find, to three decimal places, the amplitude c 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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