Let f(x) = 2-4x₂ -TT < x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 18E
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Let
f(x) = 2-4x₂ -TT < x <TT
<п
the fourier series for f(x),
ao
f(x)= ‡
2
00
Σ can cos
n=1
is of the form
nπT
P
x + by sin n
п
0
foo Cot S (gi(h,
x4 92th,x)
n=1
*)
a) find the value of Co. (your answer should be symbolic no decimal points)
b) Find the function g₁ (h, x) (your answer should be a symbolic function of x and n)
c) Find the function 9₂ (h, x) (your answer should be a symbolic function of xe and n)
Transcribed Image Text:Let f(x) = 2-4x₂ -TT < x <TT <п the fourier series for f(x), ao f(x)= ‡ 2 00 Σ can cos n=1 is of the form nπT P x + by sin n п 0 foo Cot S (gi(h, x4 92th,x) n=1 *) a) find the value of Co. (your answer should be symbolic no decimal points) b) Find the function g₁ (h, x) (your answer should be a symbolic function of x and n) c) Find the function 9₂ (h, x) (your answer should be a symbolic function of xe and n)
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