Find the half range sine expansion for f(t) = t2 + t, 0 < t <

Q: 0 - T <x < - The Fourier series representation of the function f(x) ={ 4 -<x< 2 o 플 <x<R where f(x…

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Q: f (t) ) — е -4(t-2)² e

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Q: the trigonometric Fourier series of a periodic signal x(f) de by x(t) = t2, –n <t<a and x(t + 27) =…

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Q: FOURIER ANALYSIS Find the value of an using the half range cosine expansion for f(t) = t2 + t, 0 <…

A: Given ft=t2+t, 0&lt;t&lt;1 The half range cosine series expansion of ft is given by…

Q: Using Fourier transform, solve the integral equation for the function f. r²e=" if r20 h(r) = f(r –…

A: As per the question we are given an integral equation in terms of a convolution between f(x) and e-x…

Q: Proof fourier transforms? ax e Caz0)

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Q: constant a furctions U. a. find the fourier Transform f for f(x)= 20, o< X< 20

A: Solution

Q: Q.5 The Fourier series of the function f(x), is given 1, 2 2 by f(x)=-+sin x+sin 3x + 2 -sin 5x+...,…

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Q: Infinite ransforms: 21. If Fourier transform of f(x) is F(o), prove that the Fourier transform of…

A: Fourier transform of the function

Q: Using integration by parts, find the Laplace transform of the given function; n is a positive…

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Q: Find the limit.

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Q: Q: The Fourier representation of a function f(x): f(x) = {-10 V, 10 V, ーTくX x > 0 40 sinx sin3x…

A: Given f(x) = -10v.  When -π &lt; x &lt; 0              = 10v when 0 &lt; x &lt; π.   Graph of this…

Q: Fourier Senies fra) = x² x e[-1,7]

A: We have to solve given problem:

Q: 38. This is the method used to represent a periodic function by a series of sinusoids to any desired…

A: Correct ans is - option B

Q: power spectral densities of the input and output processes in the system are connected by the…

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Q: integral cos (;- 1) dt. 14. Evaluate the indefinite (u-substitution)

A: We have to find the value of the infinite integral

Q: Q.5 The Fourier series of the function f(x), is given 2 by f(x)=+źsin x+sin 3.x+sin 5x+..., 1 2 find…

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Q: X Ct) = cosh 3t sin 3t te St

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Q: Give a physical interpretation of the Fourier transform of a function

A: Here we need to give a physical interpretation of the Fourier transform.

Q: f(t) = t, 1<t < 00

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Q: (26) Denote the second Fourier sine coefficient on the interval [-L, L] by L A2 = / f(x) sin -L Show…

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Q: The Discrete-Time Fourier Transform 1) Use the Fourier transform analysis equation to calculate the…

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Q: Fourier series f(x)= x sinx 2 xe (7)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: f(x) = {cosx cos x find its Fourier I < x< 2n a. Cosine Series b. Sine Series

A: The given problem is to find the Fourier cosine series and Fourier sine series for the given…

Q: differentiation of the Laplace transform. 21.Let F(s)=∫∞0e−stf(t)dt.. It is possible to show that…

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Q: FOURIER ANALYSIS Find the value of an using the half range sine expansion for f(t) = t2 + t, 0 < t…

A: Given function is  ft=t2+t,   0&lt;t&lt;1 Here, L=1 To find : value of an By the half range sine…

Q: Numerical integration Use a calculator to determine the integer n In (1 + 2x) dx 1/2 that satisfies…

A: I =∫01/2ln(1+2x)xdx Integrating by parts I=1(1+2x) (x)01/2 -∫01/2(-1)x2 .1(1+2x)dxI=14-0+∫01/21x2…

Q: Using integration by parts, find the Laplace transform of the given function; n is a positive…

A: L{eattn}   Apply transform rule: if L{f(t)}=F(s) then L{eatf(t)}=F(s−a) For tneat:       f(t)=tn,…

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: Q3) Obtain the Fourier series of the waveform shown in Figure below. Use the exponential form of the…

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Q: Consider the 2n-periodic function f(x) = cos²(x) + sin³ (x). (i) Calculate the Fourier coefficient…

A: Here given that for 2π periodic function, f(x)=cos2(x)+sin3(x). We calculate a0,a1,a2,an(for…

Q: x + b sin nx general solution c

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Q: Convolution method: Find the function whose Fourier transform is 1 (4 + k2)(9 + k²)

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Q: cosh (T- i) = %3D e cosl i e sin 1 + e- cos 1 + i e- sin 1 e cosl i e sin 1 + e-TI cos 1 ie- sin 1 2…

A: We know formula of coshx in term of exponential form

Q: f(t) 2 1 3 5 -5

A: The given function is neither even nor odd, so here a0, an and bn have to be calculated to order to…

Q: 9-15 FOURIER SINE TRANSFORM 9. Find F,le ). a>0, by integration.

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Q: sin x dx using Fourier transform. æ(x² + 1) -00

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Q: FOURIER ANALYSIS Find the value of a0 using the half range cosine expansion for f(t) = t2 + t, 0 <…

A: We have to find the value of a0 using the half range cosine expansion for the following function -…

Q: tan-1 z = 1 – j2

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Q: FOURIER SERIES 2. t 0<tSπ f (t) = < 2– T <t< 2n

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Q: estion * he Laplace transform of f (t) = t2 U(t - 3) is: F(s) = e -35 F(s) = e +.

A: Laplace Transform

Q: QI) Find the Fourier transform for the following functions: 3) x(t)=4u(t-1)+5 u(t)={6 where u(t) is…

A: Given xt=4ut-1+5             (i) Where ut is unit step function.  It is known that  Fut=πδω+1jω…

Q: Q4. Define Fourier Integral. Find the Fourier cosine integral represantation of the function (k if…

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Q: QI\ Find the Z-transform of A) cosh

A: Z transform

Q: 투사 712 (-x)두 [(1-x) = (F-76 3.

A: This is a problem of Laplace Transform. Given function: gx-12=0x&lt;1213x-1272x≥12 The given Unit…

Q: x², IxI a

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Q: (cosx, x a

A: The objective is to find the Fourier Cosine transform of fx=cosxx&lt;axx≥a

Q: (1 – x², \x| 1 Find the Fourier transform of the function f (x) :

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Q: Q4. Define Fourier Integral. Find the Fourier cosine integral represantation of the function ſk if…

A: Fourier cosine integral representation