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2 Let f(x) be a function of period 27 such that 0

2 Let f(x) be a function of period 27 such that 0

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Question 2 Let f(x) be a function of period 27 such that f(x) = { 0<x<T T< x < 2π a) Sketch a graph of f(z) in the interval -2 <r <2m b) Show that the Fourier series for f(r) in the interval 0 < x < 2π is 1 T π-1, 0, W 1 COST + cos 3x + 32 1 sina+sin cos 5x + 1 1 2r+sin 3r+sin 4r +... 4 + sin 2 c) By giving an appropriate value to z, show that πT² = 1+ + 1 32
Transcribed Image Text:Question 2 Let f(x) be a function of period 27 such that f(x) = { 0<x<T T< x < 2π a) Sketch a graph of f(z) in the interval -2 <r <2m b) Show that the Fourier series for f(r) in the interval 0 < x < 2π is 1 T π-1, 0, W 1 COST + cos 3x + 32 1 sina+sin cos 5x + 1 1 2r+sin 3r+sin 4r +... 4 + sin 2 c) By giving an appropriate value to z, show that πT² = 1+ + 1 32
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