Why are there different Fourier series equations? I don't quite understand what the difference between them all are

Q: Problem 1. Find the Fourier series for the following functions: 1, -2n Sa< 0, (a) f(n) %3D 05 < 2n.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The function f(x) = 2 * sin(x) − e/4 - 1 is zero for two values near x = -5. Use bisection to find…

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Q: The Inverse Fourier transform for e(2-6)i is 5-(3-w)t O 2H(t +2)e 10-(5–31)t OH(t+2)e 10+(5-31)t O…

A: We need to find the inverse Fourier transform of e2w-6i5-3-wi The inverse Fourier transform of 1wi+a…

Q: Find the Fourier Transform of the following signals: 1. x(t) = 8(-t) 2. x(t) = 6(t+5) 3. x(t) = 6(t…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4. (Section 3.10, problem 8) Determine whether the motion determined by the ODE ü + 2dů + du = 0, d…

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Q: - 34 as f(4)= ė" ult-1) Solve it in fourier transformation

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Q: S 3, -4 < a <0 then 16 a2, 0<a < 4 If f is the Fourier series of g(x) %3D f(x) = () Cos sin What…

A: The formula for the Fourier series f(x)=a02+∑n=1∞ancosnπxL+bnsinnπxL, where…

Q: What is the complex Fourier series of the function f(t) = cos t? Hint: if you're confident, you can…

A: Given function is  ft=cost. We know that the Fourier series of a function can be written as:…

Q: The best approximation of f(x) = cos(8 + x) by a Fourier polynomial of degree 1 is

A: The Fourier Polynomial of degree n is Fn(x)=a0 + ∑k=1nakcos(kx) +∑k=1nbksin(kx). Then, the Fourier…

Q: Consider a semi-infinite elastic string that extends along the x-axis from x = 0 to infinity and let…

A: As per the question, we are asked to find the deflection of a semi-infinite elastic string, u(x, t),…

Q: Q1: Solve using Laplace transform y + 4y = 8(t). y(0) = y'(0) = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 2 1 do = L f (x) dx 1 2 x² dx = 2 3 = 2 0, 3

A: We have to find fourier series of given function-

Q: zN-1 = (z-5°)(z-GN-1). Exercise 5. 1. By computing the coefficient of zN-1 on the right hand side of…

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Q: Calculate the Fourier series of the periodic function depicted in the figure below. ↑ f(x) Hint: fx…

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Q: What is the Fourier series for the signal (7) - 6 NOTE. If you use trigonometric identities, you…

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Q: For the function f(x) = xx on the interval [-7, 7] we need only compute one set of the Fourier bn =…

A: Fourier series is an expansion of the periodic function in the linear combination of the sine series…

Q: If f(x) is an even function on [-pi, pi], then the Fourier series of f is of of the form a0 + E=1 a;…

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Q: 1) Determine the Fourier Series of the below waves (case (a) and case (b)) both having the origin…

A: Fourier series for case (a) is ft=8F0π2∑n=odd-1n-1/2n2sin2πnTt or ft=8F0π2∑n=odd-1n-1/2n2sin20πnt.

Q: Homework7: Topic 6 Fourier Series 1.)

A: Step 1: To determine the Fourier series of a function that is periodic within the range (−𝜋,𝜋), we…

Q: Homework7: Topic 6 Fourier Series 1.)

A: Step 1: Given:f(x) = 2x Range: (−Π,Π) Determine the Fourier coefficients: The Fourier series of a…

Q: Problem 1 (Fourier Series Period 2n) Expand the f" S) in fourier series: f(x) = 1 + x,

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Q: Find the Fourier series representation of the periodic function below if c = 3 and d = 17.5. Then,…

A: We will find out the required value.

Q: 2.5 Let x, and Ya represent the Fourier Series coefficients of x(t) and y(t), respec- tively.…

A: 1) yt=xt-t0 assume the period of xt is T0 express yn in terms of xn it is known that the fourier…

Q: Summarize the method used for solving linear, first-order ODE's. What theorem is used to justify…

A: A first-order linear differential equation is written like dydx+Pxy=Qx             (i) Here, Px, Qx…

Q: The Fourier series expansion of an odd symmetric signal with zero average value contains only. A. a…

A: We have to provide the answer for given question:-  we have to choose correct options from given…

Q: Expand the f" S) in fourier series: f(x) = n + x, -A<x<0 =T- X, 0<x<n

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Q: 9.)f(x) = [0, sin x, -T<x<0 0≤x<T

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Q: The complex Fourier series representation of a periodic function of period 2π is given by ∞ Fs(t) =…

A: Given :  Fourier series representation of a periodic function with period 2π : FSt = ∑n = -∞∞cne-jnt…

Q: provide answer fo

A: Introduction: Matrix multiplication is divided into two types: Scalar Matrix Multiplication, in…

Q: Question 4. The Fourier series representation, FS(t), of a function f(t), where f(t + 8) = f(t) is…

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Q: 2х+1 Evaluate f dx (х-2)(х-3)2 O A) NONE OF THESE OB) 5 In(x-2)/(x-3)|+7/(x-3)+C O C)I DON'T KNOW O…

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Q: What is the value of (do) for Fourier Series of the function f(x) = x², - TS x < n? %3D 2n3 c) 3 d)…

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Q: In a well-written paragraph, explain the method of solving a differential equation using Laplace…

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Q: Question 6. A waveform, f(t), with period 24ms (milliseconds) is sampled every 4ms to give t (ms) 04…

A: We know that; t f(t)             0 1.8 0 1 0 1 0 1 4 3…