The Questions Question 2. The Fourier series representation, FS(t), of a periodic function of period 4 is given by FS(t) = 2 + ao=1.75 an = Σ n=1 4(-1)" TLTT bn = ancos In this particular case the Fourier series coefficients are given by (15) + b₂ sin OType here to search (5²). 5(1-2(-1)") 1²² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (5) correct to 3 decimal places. Enter the values in the boxes below. Enter a, correct to 4 decimal places: Enter a correct to 4 decimal places: Enter as correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter bs correct to 4 decimal places: | Enter FS3 (5) correct to 3 decimal places: E Ri hp O <> 0 B/s 0 B/s 29°C DE

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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The Questions
Question 2.
dewisprod.uwe.ac.uk/cgi-bin/nobody/2022-uwe/z/ufmfk9_15_2gcet/a02_feb/the_questions.cgi
The Fourier series representation, FS(t), of a periodic function of period 4
is given by
Fs(t) = 2% +Σ
in (15).
In this particular case the Fourier series coefficients are given by
a = 1.75
an =
b₁ =
nat
+ Σª, cos (75²)
an
4(-1)"
727
+ b sin
5(1-2(-1)")
72²7²
Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (5) correct to 3 decimal places.
Enter the values in the boxes below.
Enter a correct to 4 decimal places:
Enter a
correct to 4 decimal places:
Enter a
correct to 4 decimal places:
Enter b, correct to 4 decimal places:
Enter b₂ correct to 4 decimal places:
Enter bs correct to 4 decimal places:
Enter FS3 (5) correct to 3 decimal places:
OType here to search
A
n
o
<>
0 B/s
0 B/s
29°C
AD E
Transcribed Image Text:The Questions Question 2. dewisprod.uwe.ac.uk/cgi-bin/nobody/2022-uwe/z/ufmfk9_15_2gcet/a02_feb/the_questions.cgi The Fourier series representation, FS(t), of a periodic function of period 4 is given by Fs(t) = 2% +Σ in (15). In this particular case the Fourier series coefficients are given by a = 1.75 an = b₁ = nat + Σª, cos (75²) an 4(-1)" 727 + b sin 5(1-2(-1)") 72²7² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS3 (5) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter bs correct to 4 decimal places: Enter FS3 (5) correct to 3 decimal places: OType here to search A n o <> 0 B/s 0 B/s 29°C AD E
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