a5 8 Suppose you are given the following Fourier coefficients for a function on the interval [−π, π]: ao = 4, a₁ = a3 π 8 and a2, a4, b₁,b2, 63, 64, b5 are all zero. 5π If F is the partial sum of the Fourier series up to the kth harmonic, find the following Fourier approximations to the Fourier series, that is, F(t) = + ao 2 F₁(t) = 4+(8/pi)cos(t) F3 (t) = 4+(8/pi)cos(t)-(8/(3pi))cos(3t) F5(t) = 4+(8/pi) cos(t)-(8/(3pi))cos(3t)+(8/(5pi))cos(5t) k (an cos(nt) + bn sin(nt)). n=] help (formulas) help (formulas) 8 3π help (formulas)
a5 8 Suppose you are given the following Fourier coefficients for a function on the interval [−π, π]: ao = 4, a₁ = a3 π 8 and a2, a4, b₁,b2, 63, 64, b5 are all zero. 5π If F is the partial sum of the Fourier series up to the kth harmonic, find the following Fourier approximations to the Fourier series, that is, F(t) = + ao 2 F₁(t) = 4+(8/pi)cos(t) F3 (t) = 4+(8/pi)cos(t)-(8/(3pi))cos(3t) F5(t) = 4+(8/pi) cos(t)-(8/(3pi))cos(3t)+(8/(5pi))cos(5t) k (an cos(nt) + bn sin(nt)). n=] help (formulas) help (formulas) 8 3π help (formulas)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Don't know why my answers are wrong
Ans all pls
![a5
8
Suppose you are given the following Fourier coefficients for a function on the interval [−π, π]: αo = 4, a₁ =
ao
ㅠ
8
and a2, a4, , b₁,b2, 63, 64, b5 are all zero.
5п
Fk (t)
4+(8/pi) cos(t)-(8/(3pi))cos(3t)
If F is the partial sum of the Fourier series up to the kth harmonic, find the following Fourier approximations to the Fourier series, that
is,
=
ao
2
F₁(t) = 4+(8/pi)cos(t)
F3(t)
F(t) = 4+(8/pi)cos(t)-(8/(3pi))cos(3t)+(8/(5pi))cos(5t)
k
(an cos(nt) + bn sin(nt)).
n=1
help (formulas)
help (formulas)
a3
help (formulas)
∞0 555
3π](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68c8d59a-da57-447f-9f0c-adb1654ae0a5%2Fb36762ed-1c8c-48ce-9689-e4d4491ed8f4%2F23p880h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a5
8
Suppose you are given the following Fourier coefficients for a function on the interval [−π, π]: αo = 4, a₁ =
ao
ㅠ
8
and a2, a4, , b₁,b2, 63, 64, b5 are all zero.
5п
Fk (t)
4+(8/pi) cos(t)-(8/(3pi))cos(3t)
If F is the partial sum of the Fourier series up to the kth harmonic, find the following Fourier approximations to the Fourier series, that
is,
=
ao
2
F₁(t) = 4+(8/pi)cos(t)
F3(t)
F(t) = 4+(8/pi)cos(t)-(8/(3pi))cos(3t)+(8/(5pi))cos(5t)
k
(an cos(nt) + bn sin(nt)).
n=1
help (formulas)
help (formulas)
a3
help (formulas)
∞0 555
3π
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