3. Analyse harmonically the data given below and Express y in Fourier series up to second harmonic 2n 2n 3 3 3 3 y 1.0 1.4 1.9 1.7 1.5 1.2 1.0

Q: 2.6 Determine the Trigonometric Fourier Series (TFS) for f(t) given below: Alt) A T/2 T

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Q: Find the Laplace Transform of e-2* cos3t + 5e-2t sin3t (s+2) + 15 A) (s2+4s) + 13 15 + s2+9 В s2+9…

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Q: In the case where a = -T and b = T, compute (sin px, sin qx), (sin px, cos qx), and (cos px, cos…

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Q: Find the Fourier series up to second harmonic from the following data X Y 0 0 T - 6 T - 3 2 T 2T ST…

A: Here consider θ=2πxT Here the last value is the mere repetition of the first .Therefore we omit that…

Q: 7.1.1. Find the Fourier transform of the following functions: (a) e−(x+4)², (b) e¯\x+¹, x, |x|<1,…

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Q: nd the Fourier series representation of the even extension of the function 032(1).png S(x)= {ex +b…

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Q: Determine the Fourier series expansion of the periodic waveform given by p(t) E P1 (t – 4n), n=-00…

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Q: The equation of a periodic function f(t) is given below: St² +4t+4 -2<t<-1 f(t)= f(t+ 4) = f(t) t+2…

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Q: Find a_0 from the Fourier series of the function f(x)=1/4 (tt-x)^2 * T^2/4 none 4/T TI^2/6

A: Consider a function: fx=14π-x2……1

Q: H.W: Calculate the Fourier series for the waveform -16 at n = odd Ans. ao n² π² 1 & an= 0 at n= even…

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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: 7. By using the Fourier transform, find a solution for the following problem (P Ju(1, x) = 4u.z(t,…

A: The complete solutions are given below

Q: The Fourier coefficient a, for the rectified sine wave y = sin (periodic function of 4n) is 1 1…

A: To find term of any sequence   , substitute in   and simplify .

Q: 16. The even function f(t) = -t + 1; – 1 <t < 0; f(t + 2) = f(t) has Fourier coefficients -2 ao = 3…

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Q: d)Find the complex exponential Fourier series coefficients of the following signal x(t) = 3 + 4Sin3…

A: Note that, sin3θ=3sinθ-4sin3θ. That implies, 4sin3θ=3sinθ-sin3θ. Using the formula…

Q: 1. a. Write the Fourier series for a rectified wave for which half is defined by f(t) = sin(t),0 <t…

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Q: ) Determine the complex exponential Fourier transform for the following periodic signal shown. x(t)…

A: To find : Complex exponential Fourier transform for given signal

Q: Find the coefficient of Fourier series of the following voltage waveform. -3T/4 -T -T/4 T/4 --E…

A: Given that The time period of the signal is 'T'. The angular frequency of the signal, ω0=2πT. To…

Q: Find Laplace Transform of the following differential equations. 1. 2+52- 3 = 0 given that when x =…

A: Here we have to find out Laplace transform of given differential equation.

Q: The following table gives a random discrete signal at a variable rate. 2n 2n 3 3 3 3 f(t) 1 1.40 1.9…

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Q: The complex exponential Fourier coefficients for the periodic function x(t)=t, 0<t<2 is:

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Q: Given't fltje [ The Fourier Series f(t) = findi 1 a b 17750! 27751 a + b + = 2 I sin nit Ž b TT n…

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Q: If you have a sequence x[n] with the following Fourier Transform: X(elu) = 4cos(3w) then the Fourier…

A: Given that, xejw=4cos3w From the properties of discrete sine fourier transform,…

Q: t - 0.2k æ(t) 2.5 1 – 2 Σ rect 0.1 k=-∞

A: Given that, x(t)=2.51-2∑k=-∞∞rectt-0.2k0.1-12 The aim is to find the complex fourier series, The…

Q: Find a + b + c + d + e. The Fourier series of the function f(t) = i 풀 Stsnis: %3D 00 %3D cos 72…

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Q: 7. The Fourier coefficient a, for the rectified sine wave y= sin (periodic function of 4t) is…

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Q: Suppose an undamped forced spring mass system is driven by the equation d²x di² where the Fourier…

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Q: 1. Find the trigonometric Fourier series for the wave shown below. T12 3T/2 27

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If y=f(t),…

Q: Suppose an undamped forced spring mass system is driven by the equation + 9x = f(t), dt where the…

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Q: Find the power for the following Exponential Fourier Series Amplitude Spectrum. if a=24, b=14 , c=4…

A: The power, P of the exponential Fourier series is defined using the formula: P=∑n=-∞∞Dn2 .

Q: Discuss the general form of the solution of the function below and write it down. Compute the…

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Q: 2. Find the Laplace Transform of the following differential Equations. a. cos't

A: Find your answer below

Q: 1. Find the Fourier series coefficients for the following signals: a. x(t) = sin(4t ) + 8+3 cos(2t +…

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Q: - 2T -T 271 a ftt)= Cos nt Fourier Series s'i n:1,3,5,... %3B findi a+ b+ C

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Q: Determine the fourier series representation for the signal f (t) = e* sin (25

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Q: 3.26. Let x(t) be a periodic signal whose Fourier series coefficients are 2, j(G)RI, otherwise · k =…

A: The solution is given below

Q: H.W: Calculate the Fourier series for the waveform 27² 4(-1)" Ans. ao & an 3 n² = - t² wi M -2π -π…

A: Given  ft=t2, -π≤t≤π

Q: H.W 2: Find the coefficient of Fourier series of the following voltage waveform. T/4 т 5/4 T

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Q: 2) Periodic signal x(t) which is shown in Figure-1 is applied to a LTI system with impulse response…

A: please see the next step for solution

Q: 5. Find the Fourier Transform of the given signal and plot its frequency spectrum. x(t) = 2 e"u(-t)

A: The given signal is defined as x(t) = 2 e3t u(-t).The Fourier transform is defined by F(w) =…

Q: The graph as shown below is characterized by the given equation: S2 0<t<1 æ(t) = 10 1<t<5 where T =…

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Q: Show that d() = ñ[6(w − K) + 6(w + K)] is the Fourier transform of cos (Kt).

A: To prove dw=πδw-k+δw+k is the fourier series of cos(kt)

Q: Given the following periodic function, f(t), find the Fourier series coefficient, ao, where a = =…

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Q: Find the exponential Fourier series of the triangular waveform shown in Figure. 1 x(1) 25 -2n -25

A: The Fourier series will not contain any constant and sine terms so the Fourier series will be:…

Q: H.W 5: Find the coefficient of Fourier series of the following voltage waveform. -T -T/2 T/2 -E…

A: Consider the provided graph,

Q: Suppose an undamped forced spring mass system is driven by the equation d²x +49x = f(t), di where…

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Q: 1. Find the Fourier Coefficients and Fourier Series of the square wave function defined by: if -7<x…

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Q: 1. Express f(x) by the Fourier series where f(z) = {, 2, -7<z50 0<z5T f(z) =f(z+2w). 2. Express fx)…

A: As per our guideline we are supposed to answer only first question of a multiple type questions.…

Q: Solve the shifted data initial value problem by the Laplace transform. Show the details. у" — 2y—…

A: Given differential equation,y''-2y'-3y=0,y4= -3,y'(4) = -17

Q: sin

A: We will compare with the standard expression for Fourier series.