The function f(t) is defined by f(t) = { 3² 1 with f(t + 4) = f(t). Evaluate f(-1.2), f(0), f(6.4), f(7.8) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.4, 3, 4. Enter all your answers correct to one decimal place. . A: Enter f(-1.2): 3t-3 0

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A: Fourier series of a function f(x) in the interval -L≤x≤L is defined as  f(x)=A0+∑n=1∞An cosnπxL+Bn…

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Q: Q1) a. Find the Fourier series of 0. x², f(x) = 6 b. Use the above result to show that л² -<x<0…

A: Given function is The Fourier series of f(x) on  is given by                      ------------------…

Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = - 4 t to x 4 T.

A: fourier series

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A: We have to find fourier series by the cosine f(x)=x2+1 in [0,2π]

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A: Hi, thank you for the question. Since you have posted a question with multiple sub parts, as per our…

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Q: By computing the Fourier series of f(x) = x², show that n=1 1 n4 == 90°

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Q: Q2. Obtain the Fourier series for the function given in the diagram below f(x) 2 20 0 2T 3T X -2

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Q: : Obtain the Fourier series for the function: (4x+1 if – n <x< 0, f (x) = |1–5x if 0<x<r.

A: We will find out the required value.

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A: The Fourier series of a function f(t) in an interval -π&lt;t&lt;π is given by, ft=a02+∑n=1∞an cos nt…

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Q: (d) 357 862 193 = (mod 943). (e) 5327 6135 7139 2187 5219 . 1873 = (mod 8157). (Hint. After each…

A: ...

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A: To find the Fourier series of a periodic function f(x) with period 2L, we can use the following…

Q: 1. Find the Fourier Series of the function: (0, ´0, -T < x < 0 f(x) 0 <x< T

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Q: 5. Find the Fourier Series of the function: S0, f(x) -T < x < 0 1, 0 <x< T

A: The solution is given as

Q: (a) To test the series En for converge? 2n-n

A: According to the given information, it is required to check whether the given series converges or…