Purchase Solution

Periodic Functions: Fourier Sine and Cosine Series

Not what you're looking for?

Ask Custom Question

Please see attachment.

#1
for following periodic functions acting on the given interval Do the following:

a) Sketch 4 periods of the given function of period

b) Expand the function in a sine - cosine Fourier Series

f(x) = 2-x, -2<x<2

#2)
Expand the function in a sine-cosine series and Computer plot on the interval

f(x) = x, -1<x<1

Attachments
Purchase this Solution
Solution Summary

Fourier Sine and Cosine Series are investigated. The solution is detailed and well presented.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

View More Free Quizzes
Related BrainMass Solutions

  • Fourier Series and Fourier Sine and Cosine Series

    60184 Fourier Series and Fourier Sine and Cosine Series 1.) Find fourier series of f(x)=4, x greater than -3 and less than 3 and 2.) Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2 and 3.)

  • Fourier Series Expansion

    For the sine coefficient we will calculate the auxiliary integral using the famous Euler's identity relations: We get: The sine terms coefficient is: Now, since the sine and are odd functions over the interval, the integrand is an

  • Fourier series

    Any periodic function in the interval [-L,L] with a period 2L can be expanded into Fourier series of both cosine and sine functions: Where: The function in our case is: This is a square wave with period interval of 2L=4: Three

  • Kronecker formula for integration

    Plot the function on -2π < x< 2π, and find its Fourier series. Now consider the odd periodic extension of f(x). Plot f(x) on -2π < x< 2π and find its Fourier sine series. Finally consider the even periodic extension of f(x).

  • Solve the Sine and Cosine Fourier Series and Determine the Sum of Each

    60232 Sine and Cosine Fourier Series and Determine the Sum of Each Write the cosine and sine Fourier Series. Determine the sum of each.

  • An impulsive force is a large force that acts over a small time.

    In the fourier series corresponding to an odd function, only the sine terms can be present. In the fouerier series corresponding to an even function, only cosine terms can be present and your constant terms given by ½ Ao too.

  • Fourier Sine and Cosine Series of a Given Periodic Function

    We compute the Fourier series as well as the Fourier sine and cosine series of a given piecewise continuous periodic function and compute the values of these series at the discontinuous points.

  • Fourier Series and Cosine and Sine Fourier Series

    Write the cosine and sine fourier series f(x)=x^2 for x greater than 0 and less than 2 Please see the attached file for the complete solution. Thanks for using BrainMass. Fourier Series and Cosine and Sine Fourier Series are found.

  • Express Fourier series in sine-cosine form and complex form and find convergence.

    35895 Express Fourier series in sine-cosine form and complex form and find convergence. Express Fourier series in sine-cosine form and complex form and find convergence. Please see the attached file for the fully formatted problems.

View More Related Solutions