Find the Laplace transform of the following 7- e-t sin² t 8- £f"(t) = tan-¹(¹), f(0)=2, f'(0)=-1 find £ f(t) 9- Sinh2t cos2t

Q: Ex. Find the Laplace transform for the functions 1-f (t) = sin't %3D 2-f (t) =t°e"

A: We have to use Laplace standard transformations.

Q: Question 1: Let W be the set of all matrices of the form w = {a b : a = - c;f = -b – 1} e Is W…

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Q: Q3: Find Fourier sine Transform for f(1) = elsewhere Then use Parseval's theorem to evaluate - cosx…

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Q: Find the Fourier Transforms of the indicated function: f (x) = cos x e−x^2/2

A: The given problem is to find the Fourier transform of the given function. Given function, f(x) =…

Q: e> and deduce that Find Fourier sine transform of- ar e bx e | sin px dx = Tan2 - Tan a

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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 Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

Q: Given that find the Laplace transform of √cos (8t) C{√/cos(8t)} = (-16)^(-8/s)/(88 (5/8)) CL cos(8t)…

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Q: Find Fourier sine transform of - and deduce that

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Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

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Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: nsform of 20 sinc (10(t - 10)

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Q: Consider f(x) = xe The Fourier Sine transform of f(x) F,f(2) = The Fourier Cosine transform of f(x)…

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: Evaluate L{t sin kt} (Use the Derivatives of Transform)

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Q: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

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Q: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: Find the Laplace transform of: f(t)=t^3 cos(5t)+ cos(2at) cos(3at) you mayuse trigonometric…

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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: Find Laplace transform of the function: f(1) = sin 21(et cosh 41+ cos(x + 1))+1(2 cos 31+1'e¹) 11.00

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Q: 1. Find the laplace transform of 2e^(3t) sin 4 t 2. Simplify i²⁹ + i²¹ + i 3. Write in the form a…

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Q: (7) Find the Fourier transform of the following functions: { {: cos x, if 0 1 (ii) f(x) = 0,

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Q: Find the inverse Laplace transform of the following functions: (a) F(s) = 38+6 %3D s2+3s' (b) F(s) =…

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Q: Which of the following is the inverse Laplace transform of the function F(s) = s+1/(s+1)^2+9? A.e^-t…

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Q: 3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t).

A: according to bartleby guide line we do only first part of multiple questions please re post other…