(a) State if the function f(x) has odd or even symmetry. (b) Show that the Fourier coefficients of f(x) are given by: a = 24, TC an f(x) = 2A 1+(-1)" 1-n² T Hint: You will find the result in question 1(b) useful to find an. Also, remember that Ĵfodd (x)dx=0₁ ↑ foven(x)dx = 2 feven (x)dx (c) By evaluating the first six Fourier coefficients show that the Fourier series of f(x) is given by: TC b₁ = 0 2A 4A(1 441 π 3 1 - cos(2x) + 1/50 1 cos(4x) + cos(6x)+... x) + ...) 35
(a) State if the function f(x) has odd or even symmetry. (b) Show that the Fourier coefficients of f(x) are given by: a = 24, TC an f(x) = 2A 1+(-1)" 1-n² T Hint: You will find the result in question 1(b) useful to find an. Also, remember that Ĵfodd (x)dx=0₁ ↑ foven(x)dx = 2 feven (x)dx (c) By evaluating the first six Fourier coefficients show that the Fourier series of f(x) is given by: TC b₁ = 0 2A 4A(1 441 π 3 1 - cos(2x) + 1/50 1 cos(4x) + cos(6x)+... x) + ...) 35
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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