4. Using the definition find the Laplace transform of (n) S(t) - -3 (b) g(t) = 4t - S-3

Q: N= 20 , a= 6 a. Find the Fourier Transform of the constant function f for f(x) = N, 0<x < N (Note: N…

A: Given N=20 and a=6 Since Fourier transform of f(x), -∞&lt;x&lt;∞, denoted by F(ω) where ω∈N, is…

Q: (2s-8.4) find the inverse transform of s2+0.4s–0.21 -

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Q: Find the Laplace transform of the following: 1. f(t)= (14t)-3e-7t cos(8t) - (2t-6)²

A: Here given function ft=14t92-3e-7tcos8t-2t-62orft=14t92-3e-7tcos8t-4t2-36+24t Use the basic property…

Q: Compute the Laplace transform. Your answer should be a function of the variables: L2+ u₂(t)e-³¹…

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Q: Find the inverse Laplace transform of 1 F(x) S- s2 (s + 1)

A: If L[f(t)]=F(s), then f(t) is called the inverse Laplace transform of F(s).…

Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

Q: Prove that if T+¬AFB and I+¬A¬B, then I EA

A: Given proposition is Γ+¬A-B and Γ+¬A-¬B To prove Γ-A Now,  1. Γ+¬A-B∧Γ+¬A-¬B…

Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: (k) f(x) =X[a.b](x) eiaz,

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Q: 4s = s²-2s+5 _F(s) =

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Q: Q3// Find the value of sin лz²+ сos лZ² $c dz (z-1)(z-2) Where C is a rectangular with vertices at…

A: As per the question first we have to evaluate a conture integral, then we have to find the laplace…

Q: 2. Y(s) = J(2s – 3)5 %3D

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Q: Find the Fourier Sine Transform of the function f(x) = (ae-4* + be-3* + ce-2*) if x> 0 if a = 6, b =…

A: The given problem is to find the Fourier sine transform for the given function with given unknown…

Q: Compute the Laplace transform. Your answer should be a function of the variable s L{3+ u(t)e sin(7…

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Q: Find the inverse Laplace transform of 42s + 34 (s – 3)(s² + 2s + 5)

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Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

A: As per the question we are given the Fourier transform of a function f(x) as f̂(p) From that we have…

Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) s²+25

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

Q: 5. Find the Laplace transform of the function: f(t) = 6e-5t + e³t + 51³-9 Simplify your answer to a…

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Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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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: Find the Laplace transform of f (x) = 3 sin 3x – 2e-2x

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 6s +9…

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Ose the definition to find the Laplace Transform of the given function [t, 0St<1 f(t)=} |1, t21

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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: Jamal hiked on two trails. The first trail was 3 1/3 miles long, and the second trail was 1 3/5…

A: Given: Jamal hiked on two trails. The first trail was 313 miles long, and the second trail was 135…

Q: Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to…

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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: x2, Ixl a

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