Question 7. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by s (nat). 4 FS(t) = 4+ an cos 2 n=1 ao=0.75 In this particular case the Fourier series coeffcients are given by an = + bn sin 3(-1)" nn bn not 4 5(1-2(-1)") n²π² Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (2) 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 a3 correct to 4 decimal places: Enter b₁ correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS3 (2) 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
icon
Related questions
Question
Question 7.
The Fourier series representation, FS(t), of a function f(t),
where f(t + 8) = f(t) is given by
ao
nπt
FS(t) = a + 2ª, cos (17²) + b., sin (14).
Σan
bn
2
n=1
In this particular case the Fourier series coeffcients are given by
ao = 0.75
an =
5(1-2(-1)")
n²π²
Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (2) correct to 3 decimal places.
Enter the values in the boxes below.
bn
3(-1)"
Nπ
=
Enter a₁ correct to 4 decimal places:
Enter a correct to 4 decimal places:
Enter a correct to 4 decimal places:
Enter b₁ correct to 4 decimal places:
Enter b₂ correct to 4 decimal places:
Enter b3 correct to 4 decimal places:
Enter FS3 (2) correct to 3 decimal places:
Transcribed Image Text:Question 7. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is given by ao nπt FS(t) = a + 2ª, cos (17²) + b., sin (14). Σan bn 2 n=1 In this particular case the Fourier series coeffcients are given by ao = 0.75 an = 5(1-2(-1)") n²π² Compute the Fourier series coefficients for n = 1, 2, 3 correct to 4 decimal places and hence, using these entered values, compute FS3 (2) correct to 3 decimal places. Enter the values in the boxes below. bn 3(-1)" Nπ = Enter a₁ correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b₁ correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS3 (2) correct to 3 decimal places:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,