Home Work1: Find the Fourier transform to the function given below: for t<0 for t = 0 for t>0 -1 1 Home Work2: Obtain the Fourier Transform to the rectangular pulse of duration 2 second and having a magnitude of 10 volts.

Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: 5 sin [ -5TT X<ST %3D otherwise

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Q: Q8 Find the Fourier transforms of: sin* - pn Sx< pn f(x) otherwise

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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: 2. Determine the inverse Fourier transform of the following functions: a لمند 2// 1 ـ لما

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Q: Q1: A: Find the Laplace Transformer for the following function [8 sin²t cos²t] t L

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Q: Select the correct expression for the Fourier transform of the function f(2)=e-(2+3)³/4 Select one:…

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Q: What transformations are needed to transform y= sinx into y=sin Select one: a. None of these b.…

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Q: 4s +4 (c) Find the inverse Laplace transform of Y(s) — ² + 4s +13) (d) Find the inverse Laplace…

A: The given problem is to find the Inverse Laplace transforms of the given functions Y(s).

Q: Find the transforms of the given functions: Please see attachment

A: By the properties of Laplace transformations:

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: -3iw sin 5w 20e F(@) = %3D 3

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Q: Q4: Find the inverse Fourier transform of the spectrum: - 2s w S0 X (w) = 0 swS2 -- 0.W EIN I 0

A: Definition:

Q: Find the fourier Transform for the signal Given Ye Sinh (H)

A: Given: Signal, y=sinhtTo find: Fourier transform of the given signal.

Q: How to solve the Laplace transform of the following equation: W(t)=cos(3t) - cos(7t) Please write…

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Q: A gate function (square pulse with magnitude of 1) is centered at the origin and ha width of 2…

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Q: Calculate the complex exponential Fourier coefficients for the signal shown below Note:- the…

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Q: Laplace transform of the following functions: 2. t5/2 sinh 4t

A: We find the Laplace transform of the given function in Problem 2

Q: A building used 3 phase inverter with svpwm algorithm to back up power in case of electric cut-out,…

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Q: Example Find the Fourier transform of the rectangular pulse duration T and amplitude A T T SC) = 4…

A: The given problem is to find the Fourier transform for the given rectangular pulse function.

Q: Find the Laplace transform of the f(t) = 8t° e2t – 3t cos(t) + 10. Explain the solution steps in…

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Q: For the next items find the z transform of the following: (a) {cos(nt)} (b) {sin ()} () {co E} (c)…

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Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

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Q: Note:M=13 1. Find the Laplace transform of the function: f (t) = eMCosh(Mt) – Msin³ (t) + M sin(Mt)…

A: given function ft=eMt CoshMt-Msin3t+M sinMtcost here  M=13 thus, ft=e13t Cosh13t-13sin3t+13…

Q: Find Fourier Sine and Cosine transform of the function f(x) = e -x

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Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

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Q: Sketch the following waveform f(t)=V₁ -t/2stst/2 = 0 otherwise and show that its Fourier transform…

A: The waveform is given as follows:.We need to find its Fourier transform.We know that the Fourier…

Q: Your supervisor asked you to analyse the following signal processing system that exists in an…

A: Use the following formulae, to obtain the solution. Suppose the root of the function lies in the…