3. (20 points) Let ƒ be a periodic function with the period 2. Suppose x+1 −1≤ x < 0, f(x) = 1 -x 0 < x < 1. (a) (10 points) Sketch the graph of the given function for -3 < x < 3. (b) (10 points) Find the Fourier series for f.

3. (20 points) Let ƒ be a periodic function with the period 2. Suppose x+1 −1≤ x < 0, f(x) = 1 -x 0 < x < 1. (a) (10 points) Sketch the graph of the given function for -3 < x < 3. (b) (10 points) Find the Fourier series for f.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 35RE

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Question

PLEASE DO BOTH PARTS!!

3. (20 points) Let ƒ be a periodic function with the period 2. Suppose
x+1 −1≤ x < 0,
f(x) =
1
-x
0 < x < 1.
(a) (10 points) Sketch the graph of the given function for -3 < x < 3.
(b) (10 points) Find the Fourier series for f.

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