Question: Find the Fourier series to represent the function Construct a graph showing the first three terms of the series and the third partial sums. -1

Find the Fourier series to represent the function

-1 if – L <x < -L/2, 1 if – L/2 < x < L/2, -1 if L/2 < x < L. | f (x) =

Construct a graph showing the first three terms of the series and the third partial sums.

-1 if L

Step by Step Solution

★★★★★

3.46 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

This is an even function so the Fourier series will be a cosine series W... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Physical Chemistry Questions!

Q:

Find the Fourier series to represent the function Your series will be periodic and will represent the function only in the region L

Q:

Find the Fourier series of f(x) = 1, 0

Q:

Find the Fourier series of the function obtained by passing the voltage v(t) = V0 cos 100t through a half-wave rectifier.

Q:

A periodic function, is defined by (a) Sketch the graph of the periodic function. (b) Find the Fourier series of f(t). (c) The Fourier series that you obtained is a representation of the periodic...

Q:

A standard electrical engineering function is the "pulse", which is a square function of height V and duration T . Find the Fourier series representing this function. your answer should be a function...

Q:

question 1 Find the partial derivative of the dependent variable with respect to each of the independent variables. Z= (3x2 + x/3)7 dz = 7(3x2 + xy3, 6(6* + 3) dzThe volume V of a right circular...

Q:

hello mighty tutors , this is my final test !!! need a good cualification to pass the class !! hope you acan help me !! there is 15 math problems !!! help me obi wan kenobi , you are my only hope !!!...

Q:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD...

Q:

1) State the initial value theorem. Verify the theorem for the functions (a) 3 4 sin t (b) (t 4)2 and state their initial values. [(a) 3 (b) 16] 2. Verify the initial value theorem for the voltage...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

Air at atmospheric pressure is contained between two vertical plates maintained at 100oC and 20oC, respectively. The plates are 1.0 m on a side and spaced 8 cm apart. Calculate the convection heat...

Q:

An L-C circnit consists of a 60.0-mH inductor and a 250-F capacitor. The initial charge on the capacitor is 6.00 C, and the initial current in the inductor is zero. (a) What is the maximum voltage...

Q:

A kindergarten class has three left-handed children and seven right-handed children. Two children are selected without replacement for a shoe-tying lesson. Let X 5 the number who are left-handed. a....

Q:

What is the purpose and nature of a situational analysis?

Q:

Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test, evaluate the significance of the results, assuming there are no ties?...

Q:

Answer Problem 9.4 for two samples of size 7 and 10, with a rank sum of 47 in the sample of size 7. Assume there are no ties? Suppose patients are graded on the degree of change in periodontal status...

Q:

Answer Problem 9.4 for two samples of size 12 and 15, with a rank sum of 220 in the sample of size 12. Assume there are no ties? Suppose patients are graded on the degree of change in periodontal...

Q:

Problem 5-5 Calculating the Number of Periods [LO4] Solve for the unknown number of years in each of the following: (Do not round intermediate calculations and round your answers to 2 decimal places,...

Q:

1.) A firm has the following information. Static budget's FG units: 1,029 Actual FG units produced: 1,003 Standard DL wage (per hour): $4.5 Actual DL wage (per hour): $5.9 Standard DL hours per FG...

Q:

0n 4/21/2020, Netflix reported 16 million new subscribers during the first quarter of 2020. Streaming services are a bright spot during this economic shutdown due to the Coronavirus outbreak, but the...