Given the Fourier series of the f(t), determine the value of h. ... f(t) = t² -1

Q: 1 dr + 25x = 0; x(0) = -0.1, r(0) = 3 %3D %3D %3D 25 dt2

A: Solve the following

Q: if 0 <t <T if <t< 2n 5 sin t f(t) = {0 f(t+27) %3D for all t. What is the constant term in the…

A: Given that: f(t)=5sintif 0&lt;t≤π0if π&lt;t≤2πf(t+2π)for all t

Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

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Q: [5] Determine the y(2021) of y=cos²

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Q: Find the Fourier Series for the following periodic functions 0 Ans. T -² ( cos(x) + con(32) + 125…

A: Since it's a multiple question. So as per our guideline, we are supposed to solve only first…

Q: the following exercises,

A: Given, the Fourier series of          h(x)=x2+x on the interval -π, π…

Q: Q.1- For this signal, Find the complex exponential Fourier series. X(t) = 5 cos 30Tt - 8 sin? 20Tt…

A: Consider the given equation:

Q: Find the Complex Form of the Fourier Series for the following periodic functions sinh(7) 2) f(x)= e…

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Q: 7. For the following function: 4 {" ..f. (.t.)..=.. く亡くし 15t<2 a. Find the complex Fourier…

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Q: Obtain the sine Fourier series of g(x)=Dx(T-x), 0<x<n using the cosine Fourier series of function…

A: Given function is gx=xπ−x, 0&lt;x&lt;π. We have to find the Fourier sine series of gx=xπ−x,…

Q: Q2. Find the Fourier Series in Trigonometric format (sine/cosine format). f(t) = 1. -1, T 2 osts and…

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Q: for 1>t >0 for 2>t>1 2t FC) = { }

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Q: Q.3: Find the odd trigonometric Fourier series of the periodic function fit). (a -t if –n<t< 0 f(t)…

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Q: Show that the exponential form of the Fourier series for the waveform described by: O when -4 < x<0…

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Q: Let f(x) be a function of variable x defined on an interval 0 to T. It can be represented by the…

A: Since you have asked multiple questions  so as per guidelines we will solve the first question for…

Q: -2n < x < 0 The Fourier series of f(x) = {, 1-2, 0 <x < 2n is given by: O A. f(x)~-2n=1 sin (2nx)…

A: Fourier Series: The Fourier series of fx in a&lt;x&lt;b is given by…

Q: need

A: We find Half range cosine series.

Q: (a) Find 12x-2 – 7x8 dx. r4n+3 (b) Find the exact value of L. 2 cos(r – 1) dr. T+3

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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: 5. Find the half range cosine Fourier Series for the function: ...f.(x)..=.. X TT-X 0<x<= <x<T

A: Half Range Cosine Series fx=a0+∑n=1∞ ancosnπxL Where, a0=1L∫0Lfxdxan=2L∫0LfxcosnπxLdx

Q: 2. Calculate the Fourier Series S(x) of f(x) = sin(x/2), -7 < x < T. What is S(T) =?

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Q: )Find the complex exponential Fourier series coefficients of the following signal x(t) = 3…

A: Note that sin3θ=3sinθ-4sin3θ. Thus, 4sin3θ=3sinθ-sin3θ.

Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx