3. (a) Find the Laplace transform of (i) f(t)=17te-2-3 sin(9t) (ii) fo

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

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Q: F(t)= t2 sin2t u(t)   F(s)= ?   laplace transform

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Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: Q:A. Find the Laplace transform of (2) f(t) = te-cos2t

A: We have to find the Laplace transform of f(t)=te-3tcos2t

Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

A: Given that the function ft=sin22t+cos22t+1

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Q: f(d) = 2e+d[2 sin(4d) cos(2d) – 2 sin(2d) cos(4d)]

A: The given problem is to find the Laplace transform of the given function, we can use basic…

Q: Let F(s) be the Laplace transform of f(t) = cos (k(t – 7)] e" sin(37)dr, where k is a positive…

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Q: Find the Laplace Transform of the following functions: 1. f(t) = (2e-4t + sin t)²

A: We have to find the Laplace Transform of the following function. 1)  f(t) = (2e-4t+sint)2

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Q: f(t) =sin 4x/x. Find the Laplace transform

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Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

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Q: 1. Find the forier tansform of f(t) = 8(t) + 2e-3lt| %3D

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

Q: 5.) f(t) = cos (mt) u (7-2)

A: Laplace transform of the function

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Q: Question #7. Use the Laplace transform to solve x"+x=2t, x(0) = 0, x'(0) = 5.

A: (.)   Given differential equation is ,          x''+x=2t   ;  x(0)=0  , x'(0)=5 (.) Some properties…

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Q: Using only the Laplace transform table to obtain the Laplace transform of the following functions:…

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Q: 2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e“ + 21²e“

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Q: Show the following Fourier Transform and F{tri(t)}(f) = sinc²(f) F{e-t²}(f) = e-f² You may use the…

A: Given: Here is the given Fourier Transforms,  Ftritf=sinc2f and  Fe-πt2f=e-πf2

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A: To find the Fourier transform of the below functions. fx=e−ax2 fx=e−ax