Fourier transform of e-3tu(t) + e¬5tu(t) is Select ane: 8+j2w 15-w2+j8w -8+j2w 15+w2+j8w 8-j2w 15-w2+j8w 8+j2w 15+w2+j8w 8-j2w 15-w2-j8w

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

Q: Give the Laplace transform of 0<x and x <5 5 <x and x <7 -3 f(x) = -2 -s - e +4 e-5- e7+0e-7. FYs) =…

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Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

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Q: A tank originally contains 640 gal of fresh water. Then water 1 containing - lb of salt per gal is…

A: Amount of fresh water initially = 640 gal

Q: 2w Inverse fourier transform of is w²+9 Select one:

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Q: Determine the Laplace Transform of tsin2tsin5t 60s+11340s-9374 a. (s*-9s249)(s*+38s2-1342)…

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Q: Find the transform of the given function by use of a table. f = 2t sin (-5t) + e 5t CoS (t) -20s s-5…

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Q: Use the Laplace Transform operator to find the Solution of the IVP, 3y" + 5y' - 2y = 4x³ y (0) = 0…

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Q: a) i. Find Fourier transform of f(x) = xe¯x, 0≤x < 0.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the Discrete-Time Fourier Transform and z-Transform of the signal given below.…

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Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

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Q: is de -Idc 0 K f (at) = { 1 de (b) Fourier coefficient, a If ripple-free load current in…

A: As per the question we are given the periodic function f(ωt) and we have to find the Fourier series…

Q: compute the Fourier Transform of the signal given by the relation:  x(t) = [cos(2*pi*t) +…

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

Q: Calculate the Fourier transform of f(x) = (1 – 2)e-(z-a)?/2_

A: Calculate Fourier transform of e-x-a2/2:  ∫-∞∞e-x-a2/2·e-jωxdx=e-jaω∫-∞∞e-x-a2/2·e-jωx-adx-a…

Q: 4) Using the Fourier transform pair FT sin NT u(t + T) – u(t - T) 2T NT And FT properties, compute…

A: we are given fourier transform pair u(t+T)-u(t-T)=2T sinΩT/ΩT

Q: Laplace transform of ō(t-a) is Select one: O a. e^ōs O b. e^(-as) О с.елas O d. e^(-ös)

A: The given function has a standard formula and is given by

Q: Use laplace transform. Evaluate 2y"+3y'-2y=te^(-2t) , y(0)=0, y'(0)=-2

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Q: O Find inverse Z-Transform of 1- 3z-5 (1– 0.2z-1)(1+ 0. 6z-1) X(z) = ving ROC = 0.2 < ]z| < 0.6

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Q: The Fourier transform of e-alt is foe-alte-it dt = to three decimal places. G Round your answer to 3…

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Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) +…

A: What is Dirac Delta Function: The unit impulse, sometimes referred to as the Dirac delta…

Q: Using Fourier transform to solve the following IVP U=2 u+te-lxl, -0 0 XX u(x, 0)= f(x) u,(x, 0) =…

A: Given: utt=2uxx+e-x;               -∞&lt;x&lt;∞ and t&gt;0 u(x,0)=f(x) ut(x,0)=g(x) utt=2uxx+e-x;…

Q: Using Laplace transform to Sálce differen tral equation of the form fCS) - 82+3st1

A: By the method of partial fraction we can solved the problem

Q: 2) Using the convolution property, duality property, and inverse Fourier Transform, compute the…

A: Given that,xt=14+twThe convolution of the signal x(t) with itself is determined as shown below.

Q: Give the Laplace transform of 2 0 <x and x < 3 (x) = 3<x and x <4 4 4 3x -3s +e3* + 5 3 -4 + 2 e*'s…

A: Inverse Laplace transferom

Q: 2. Prove the following properties of Discrete-time Fourier transform (DTFT). DTFT DTFT DTFT 1 if…

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Q: Transform of f(x) = (1-) in Find the finite Fouirer Cosine (0, 7)

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Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: 2) Find the (complex) Fourier transform of 1-2, if r| S1, F(z) 0. if |피> 1, I COS I- Sin z and hence…

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Q: The Fourier Transform of * x(t) = [u(t)-u(t-2)][u(t) – u(t − 1)] 8(t - 0.5) cos(2πt) - O exp(j0.5w)…

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Q: laplace transform define as 00 -tyn-1dt aO f(s) = f(s)= e-ste' dt ̟bO 00 f(s)= e-s'F(t) dt cC 00…

A: option  (c)  is correct.

Q: laplace transform define as 00 f(s) = 0. e-txn-1dt a o 00 f(s) = e-iwtF (t) dt b O %D 00 f(s) =…

A: Laplace transform of F(t) is defined as:  fs=∫0∞e-stFtdt

Q: laplace transform define as 00 f(s) = e-s'F (t) dt, o 0. f(s) = e-sle' dt b O 00 f(s) =. e-iwtF (t)…

A: Given that  The Laplace transformation defination is

Q: 1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of -at sinwt and e-at coswt by…

A: Introduction: Z transformation follows many different properties. These properties are widely used…

Q: 50, dex(+) = -25 (+ + 2) + 25 (1-0) + 15 (t-1) at 2 = -√(x + 2) + 251f) + 5lt-2) By using…

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Q: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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Q: 1-20. The Fourier transform of a 2D comb function with horizontal and vertical spacing of Ax and Ay…

A: We will use the basic knowledge of Fourier analysis and Fourier transformations to answer this…

Q: The input to a linear system x(1) and the impulse response h(t) of the system are given as : x(t)=…

A: Given that x(t)=exp(-2t), h(t)=exp(-t) and t=&gt;0

Q: e-cos3t Using Integrals of Laplace transform L S Lle - cos3r]ax a. bS Lle?r-cosat]ds -cas3r]ds d.…

A: By the using of laplace transform formula table

Q: Use Laplace Transform to find the solution of the IVP 1. y"-10y'+9y=5t ---y(0) and y'(0)=2

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Q: Fourier transform of f(t) = 3te2tu(t) is Select ona: 3 iw-2 2 (iw)²–2² 3 (iw-2)2 3 iw+2 O. iw iw²-2²

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Q: Determine the Laplace Transform of cosh(3t)+3e-2t O (4s2-25+27)(s3-2s2+9s-18) O…

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Q: Let xfn] be a discrete-time signal whose Fourier transform between -r and r is 4 |w< 4 X(e) = 0, 4…

A: Given Discrete time signal xn whose Fourier transform between -π and π isXejw=4πw2,  w&lt;π40,…

Q: Laplace transform of (1 – e-Tt)2 is 2 2 1 s +7 2 s + 14 1 1 s+7 s+ 14 2 + s+7 3 1 1 14 1 1 s+7 s +…

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Q: Determine the Laplace transform of 2et cos (6t - T). CO 8-4 3/3 (금) s2-8s+52 s2-8s+52 ㅇ (-) -85+52…

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Q: Find inverse z transform (2z+ 1)(z – 1)

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Q: 2U. Use the Fourier transform synthesis equation to determine the inverse Fourier transform of: a)…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find inverse z transform 2 (z – 1)(z – 2) |

A: Given: f(z)=z2z-1z-2 To find: Inverse z transform of given function.