Question

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.

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)
Write the Fourier cosine series for f(x) on the interval 0 ≤ x ≤ π. Parameter...
Write the Fourier cosine series for f(x) on the interval 0 ≤ x ≤ π. Parameter c is a constant. f(x) = x + e −x + c (b) Determine the value of c such that a0 in the Fourier cosine series is equal to zero.
Find the: (a) Fourier cosine series (b) Fourier sine series for the following shape using half...
Find the: (a) Fourier cosine series (b) Fourier sine series for the following shape using half range expressions f(x)=x^(2), 0 less than or equal to x less than or equal to 1
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
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.
Fourier Series Expand each function into its cosine series and sine series for the given period...
Fourier Series Expand each function into its cosine series and sine series for the given period P = 2π f(x) = cos x
Expand the function f(x) = x^2 in a Fourier sine series on the interval 0 ≤...
Expand the function f(x) = x^2 in a Fourier sine series on the interval 0 ≤ x ≤ 1.
Fourier Series Expand each function into its cosine series and sine series for the given period...
Fourier Series Expand each function into its cosine series and sine series for the given period P=2 f(x) = x, 0<=x<5 f(x) = 1, 5<=x<10
Expand the given function in an appropriate cosine or sine series. f(x) = π, −1 <...
Expand the given function in an appropriate cosine or sine series. f(x) = π, −1 < x < 0 −π,    0 ≤ x < 1
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT