A3 Find the half-range Fourier cosine series expansion for the function f(x) = x(Lx), for 0 < x < L. By considering x = = 1/1, L use your result to show that (-1)k k2 12 k=1 Sketch the graph of the even periodic extension (period 2L).

A3 Find the half-range Fourier cosine series expansion for the function f(x) = x(Lx), for 0 < x < L. By considering x = = 1/1, L use your result to show that (-1)k k2 12 k=1 Sketch the graph of the even periodic extension (period 2L).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 75E

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I need help with the plot. THANKS.

A3 Find the half-range Fourier cosine series expansion for the function
f(x) = x(Lx), for 0 < x < L.
By considering x = = 1/1,
L
use your result to show that
(-1)k
k2
12
k=1
Sketch the graph of the even periodic extension (period 2L).

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