Find the transform of the function: f(t) = tg'(t)

Q: Find the Fourier Sine Transform of e-t and hence find the Fourier Cosine Transform of te-t.

A: Fourier sine transform of e-t is ∫0∞e-tsinωtdt. Calculate it:  ∫0∞e-tsinωtdt=∫0∞e-teiωt-e-iωt2idt…

Q: Find the laplace transform of (b) L-- [tan-" )]

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Q: Find the Laplace transform of f(t) t sin(2t) dr F(s) =

A: We use the table of Laplace transform to solve the given question.

Q: determine the laplace transform of t^2 sin 4t

A: We know that Lsin(at) = as2+a2 then Lsin(4t) = 4s2+42= 4s2+16 Also  Ltnf(t) = (-1)ndndsnLf(t)

Q: Find Fourier transform of F(x) = e".

A: Answer:

Q: of f (t) = t^2*sin(2t).

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Q: ut

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Q: Find the Laplace Transform of f(t)=e^(at) using the definition of the Laplace Transform.

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Q: Find the Laplace transform of the function f (t) e2t = e2t using direct integration.

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Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Given that 1) f(t) = e-3tsin (2t) cos (3t) cosh (t) 2) f(t) = 1+sin t + (8t)15 + t2cos 3t We have to…

Q: Compute the Laplace transform of the function f (t) = te-2

A: consider the function f(t)=te-2 the Laplace transform is given by the formula L{t}=1s2

Q: Find the Fourier Transform of f(x) where f(x) = e¯*

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Q: sinh 2t (f) t

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Q: Find the laplace transform of et

A: See the attachment

Q: What is the laplace transform of f(t) = cos t u(t-1)?

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Q: Derive the general formula for the Laplace transform of sin bt.

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Q: dt (te-¹u (t))?

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Q: Solve for the Laplace transform of f(t) = 5 using long method. %3D

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Q: Find the Laplace transform of f (t) = cos²(3t).

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Q: Find the Laplace transform of: 1. f(t) = e(-30) sin(2t) cos(3t) cosh(t)

A: Given function can be written as ft=e-3tsin2tcos3tet+e-t2=e-3tet+e-t2sin2tcos3t

Q: Laplace transform of f(t)=te^(at)

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Q: Determine the Laplace transform of: L{et sinh 3t}

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Q: Find the laplace transform of f(t)=2t^2 e^-t - sin^2 t

A: We have to find the Laplace transform of f(t)=2t2e-t-sin2t .

Q: (1, |t| a

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Q: Find the Laplace Transform of the function f(t) = cosh at

A: The given function is ft=coshat. Obtain the Laplace transform of the above function as follows.

Q: Find the Laplace transform of equation.

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Q: Find the fourier transform of: | coshw,t

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Q: d.-tte-6c 3

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Q: Give the Fourier transform of the function f. f(x) ha x € [0,₁] {* otherwise. =

A: Above question is solved.

Q: e at -e bt

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Q: Determine the Laplace transform of L(t sin 3t)

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Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: Find the Laplace transform of f (t) = sinh3 3t

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Q: Find the laplace transform for the equation f(x) = 2 e^-2t sin4t

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Q: Find the Laplace transform of f(t) = t2 cos at. %3D

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Q: Find the Laplace transform of the function f(t) = 1.   And can you please explain each step to…

A: Given function is: ft=1 Ton finds the Laplace transform of the given function.

Q: Find the Fourier transform of x(t) shown below using differentiation property * x(t) -1 2)

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Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Determine the laplace transform of f(t) = sin8t sin 6t

A: We find the Laplace transform of  f(t)=sin(8t)sin(6t)

Q: f(t) = cos² 2t

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Q: Find the Laplace transform of f (x) = e* sin2x %3D

A: Let us consider a function f(t) then the Laplace transform of f(t) is given as L[f(t)]=F(s) Some of…

Q: (a) Find the Laplace transform of f(t) = te2" sin(2t). %3D

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Q: nsform of f(t) = et-T sin 2rdr. %3D

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Q: Find the Laplace transform of the equation. a and b are constant.

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Q: f (x) =| , where 0<x<T

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Q: Find the Laplace Transform of f(t) = te2t sin(3t).

A: Find the Laplace Transform of f(t) = te2t sin(3t).

Q: Find the Laplace transform of 1. f(t) = sin(4t +) %3D

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Q: Find the Laplace transform of f(x)=x

A: This question is related to Laplace transform.

Q: transform

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