Question

a. Let f be an odd function. Find the Fourier series of f on [-1, 1]...

a. Let f be an odd function. Find the Fourier series of f on [-1, 1]

b. Let f be an even function. Find the Fourier series of f on [-1, 1].

c. At what condition for f would make the series converge to f at x=0 and x=1?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the Fourier cosine series and sine series, respectively, for the even and odd periodic extensions...
Find the Fourier cosine series and sine series, respectively, for the even and odd periodic extensions of the following function: f(x)= x if 0<x<π/2.   2 if π/2<x<π. Graph f with its periodic extensions (up to n = 4) using Mathematica.(leave codes here)
Compute the complex Fourier series of the function f(x)= 0 if − π < x <...
Compute the complex Fourier series of the function f(x)= 0 if − π < x < 0, 1 if 0 ≤ x < π on the interval [−π, π]. To what value does the complex Fourier series converge at x = 0?
1. Find the Fourier cosine series for f(x) = x on the interval 0 ≤ x...
1. Find the Fourier cosine series for f(x) = x on the interval 0 ≤ x ≤ π in terms of cos(kx). Hint: Use the even extension. 2. Find the Fourier sine series for f(x) = x on the interval 0 ≤ x ≤ 1 in terms of sin(kπx). Hint: Use the odd extension.
Consider f(x)=2x−1, x∈(0,1) (i)(Draw a plot of the periodic Fourier Series expansion of f(x). What is...
Consider f(x)=2x−1, x∈(0,1) (i)(Draw a plot of the periodic Fourier Series expansion of f(x). What is its value at x=0 and why? Is it odd or even? (ii) Expand the given function in a Fourier Series.
Find the Fourier series of the function f on the given interval. f(x) = 0,   ...
Find the Fourier series of the function f on the given interval. f(x) = 0,    −π < x < 0 1,    0 ≤ x < π
f(x) = 2x - 7 x ∈ (0,7) Draw a plot of the periodic Fourier Series...
f(x) = 2x - 7 x ∈ (0,7) Draw a plot of the periodic Fourier Series expansion of f(x). What is its value at x=0 and why? Is it odd or even? Expand the given function in a Fourier Series also
Find the Fourier series of the function: f(x) = {0, -pi < x < 0 {1,...
Find the Fourier series of the function: f(x) = {0, -pi < x < 0 {1, 0 <= x < pi
Find the fourier series representation of each periodic function f(x) = 0, -4 <x<0 f(x) =...
Find the fourier series representation of each periodic function f(x) = 0, -4 <x<0 f(x) = 8, 0<=x<=1 f(x) = 0, 1<x<4
Find the Fourier series for the following function (which has period 2): f(x)= −x if −1<x<0...
Find the Fourier series for the following function (which has period 2): f(x)= −x if −1<x<0   x if 0 < x < 1
Find the half-range cosine Fourier series expansion of the function f(x) = x + 3; 0...
Find the half-range cosine Fourier series expansion of the function f(x) = x + 3; 0 < x < 1.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT