USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 5 AND 6 ONLY: The equation of a periodic function f(t) is given below: t+4t+4 -2

Q: find the Fourier expansion of the periodic function shown below f(x) = |x| - n < x < T

A: First we write the Fourier transform formula for even function and solve.

Q: x (t) = 2sen (nt) + 3sen (nt) + 4sen (nt)

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Q: 3. This question concerns the function 2-x, 2, f(x) = f(x+2) (a) Find the Fourier series for f(x),…

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Q: Express a function f (t) in Fourier series in complex form and then convert it to trigonometric…

A: Note: The function sen t is nothing but sin t. We are given the following function.…

Q: Q#2: | a) Find the Fourier Cosine integral of the following function x² if 010 b) Find the Fourier…

A: Fourier cosine integral of f(x) is given by,A(u)=2π∫0∞f(x)cos(ux)dx Fourier sine transform of f(x)…

Q: Fu. Cn - 1 + 2L -L f(x)e .nn -Tx dx JW Example: find the complex Fourier expansion of the periodic…

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Q: 1. Consider a periodic function f(x) whose graph in a period p = 2L is given by the following: (a)…

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Q: your to nod of a. f(x) = x – 4x-*², I[1,2]

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Q: Question 2 Given the points (-1.-3) , (0,1), and (1,1). The Lagrange interpolating polynomial can be…

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Q: f(x) cos (at) if t 20 %3D 0 if t<0

A: Given: f(x)=cos αt if t≥0o if t&lt;0

Q: Question #4. If F(s) and G(s) S 1 S use the convolution theorem to find the inverse Laplcae…

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Q: THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{{t)} and n = 1, 2, 3, then .... L{t'{t} = (-1)"…

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Q: 1. Given the function: f(x) = x + n, -n < x < n a. Plot the graph de -4n <x < 4n b. Find the Fourier…

A: Given that fx=x+π,−π&lt;x&lt;π To plot the graph over the interval -4π&lt;x&lt;π. To calculate the…

Q: Let the following fourier representation of a function be given: f(x) = 2 · E Σ 1-cos (km) sin(kx)…

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Q: Find the Z-transform of the following functions: 11J (a) 2 n sin

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Consider the function -1< x < 0 0 <x < 1 f(x) = { 1202 +1 f(x + 2) = f(x) and Find the Fourier…

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Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined…

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using…

Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly…

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Q: If f(x) is continuous and periodic function of x, with fundamental period T = 1 second. Let the {a}…

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Q: a. Find Fourier transform for the following function l(x): -1 15 |(x) = {". (Hint: \r| =r for r> 0,…

A: The given function is  l(x)=1 if -1&lt;x&lt;10  if |x|&gt;1 We know that the Fourier transform of a…

Q: 3. Compute sine and cosine Fourier transforms of the following function. fax+b0 [ +8 (3)

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Q: Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below f(t) =…

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Q: Given f(x) below solve the following: a. Fourier Series b. Graph the given signal f(x) if –1 < x <…

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Q: 3. Suppose the only non-zero complex Fourier coefficie ositive index are c = 2i and c2 = 1 – i. A)…

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Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below (4…

A: To prove that the complex Fourier Transform of the function defined below:…

Q: ons 1-e2z (b) 3.

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Q: Use the Fourier transform of cos(k2ot) to find the Fourier transform of a periodic signal x(t) with…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Q4: Find the inverse Fourier transform of the spectrum: (T - 2 < w < 0 2 X(@) = 0 < w < 2 2 0.W

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Q: B.Find the value of L and Cn for the following function using the complex Fourier series: f(x) = x.…

A: Given function is                                          f(x)=x ; -2π≤x≤2π we have to find L and…

Q: 1. Calculate the complex Fourier coefficients for -7<t <0 0 <t < 7 [Write your answer without sin,…

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Q: The Fourier coefficients a, n21,of the periodic function n for -Sxr<0 1 f(x) = %3D are: 0 for 0sxST…

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Q: Determine the third order MacLaurin's polynomial for f(x) = ex.

A: Given,  f(x)=ex

Q: (b) Find the Fourier coefficients a, and h corresponding to the following fiuncti f(x) = x. -1<x<1…

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Q: Consider the following graph of the function f(x) which is the result of a transformation of the…

A: The given graph is a function of  a sine function.

Q: Compute the first three Fourier approximations of the following functions. Use a computer to graph…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 5. Find the Fourier Coefficients for the following functions on the given intervals: (a) f(x) = x³…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…