Question

Consider the following. 1, -LSX<0. 10. OSX<L; f(x + 2) = f(x) (a) Sketch the graph of the given function for three periods. (

0 0
Add a comment Improve this question Transcribed image text
Answer #1

7 fm) = 2.1, - Lenco Co, on&L o f(ut 2 L) =f(0) option - 4 NOW a a S finan Le for = as con cos non the sin nan) Now as = ts s

Add a comment
Know the answer?
Add Answer to:
Consider the following. 1, -LSX<0. 10. OSX<L; f(x + 2) = f(x) (a) Sketch the graph...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2.[10]For the function, f(x), given on the interval 0 < x <L (a)[4] Sketch the graphs...

    2.[10]For the function, f(x), given on the interval 0 < x <L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods (b) [6] Find the Fourier cosine and sine series of f(x) f(x) = 3 - x 0<x<3

  • 2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of...

    2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods (b)[6] Find the Fourier cosine and sine series of f(x) f(x) = 3 - x, 0<x<3

  • Find the required Fourier Series for the given function f(x). Sketch the graph of f(x) for...

    Find the required Fourier Series for the given function f(x). Sketch the graph of f(x) for three periods. Write out the first five nonzero terms of the Fourier Series. cosine series, period 4 f(0) = 3 if 0<x<1, if 1<x<2 1,

  • 1. [8] Given x + 2, -2 < x < 0 f(x) = 12 – 2x,...

    1. [8] Given x + 2, -2 < x < 0 f(x) = 12 – 2x, 0<x< 2, f(x + 4) = f(x) (a)[3] Sketch the graph of this function over three periods. Examine the convergence at any discontinuities (b)[5] Find the Fourier series of f(x) 2.[10]For the function, f(x), given on the interval 0 < x <L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods...

  • Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and...

    Given, f(x) = {x #1, 2 5x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks)

  • Let f be the function of period 6 such that F(x) = ch that Fx10-35x< ch...

    Let f be the function of period 6 such that F(x) = ch that Fx10-35x< ch that X, OSX<3 (a) Sketch the graph of F on the interval (-6, 6]. At which points in this interval is f discontinuous? (b) Find the Fourier series of f on the interval (-3,3]. What is the value of the constant term in the series expansion? What is the value of the coefficient a? What is the value of the coefficient bz? (c) To...

  • Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph...

    Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]

  • Q1 Given, f(x) = {x 4,0<x< 2 1x + 1, 2<x< 4 (a) Sketch the graph...

    Q1 Given, f(x) = {x 4,0<x< 2 1x + 1, 2<x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) () Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks)

  • Q1 Given, f(x) = {x +1, 25x<4 4,0<x< 2 (a) Sketch the graph of f(x) and...

    Q1 Given, f(x) = {x +1, 25x<4 4,0<x< 2 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Ql(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]

  • 01 Given, f(x) = 4,05x<2 x + 1, 2 S x<4 (a) Sketch the graph of...

    01 Given, f(x) = 4,05x<2 x + 1, 2 S x<4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval – 12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT