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A function f(x) with period 4 is defined as follows: 0

A function f(x) with period 4 is defined as follows: 0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 2CA
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A function f(x) with period 4 is defined as follows: 0 <x < 2 f(x)= 4 -x 2sx< 4 a) Sketch the graph of the even extension of f(x) on the interval [-4,4]. Hence, find the half range Fourier cosine series of f(x). b) Sketch the graph of the odd extension of f(x)on the interval [-4,4]. Hence, set up the integral for b, . (DO NOT SOLVE). Given that 4 b, = -(-1)" Write down the final answer for the half range Fourier sine series of f(x).
Transcribed Image Text:A function f(x) with period 4 is defined as follows: 0 <x < 2 f(x)= 4 -x 2sx< 4 a) Sketch the graph of the even extension of f(x) on the interval [-4,4]. Hence, find the half range Fourier cosine series of f(x). b) Sketch the graph of the odd extension of f(x)on the interval [-4,4]. Hence, set up the integral for b, . (DO NOT SOLVE). Given that 4 b, = -(-1)" Write down the final answer for the half range Fourier sine series of f(x).
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