What is the Laplace transforms of a damped sine wave function e-at sinwt?

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: To find the Laplace transform of eª sinh(at) you would substitute into which gives

A: Calculate the Laplace transform of e9tsinh(at). Le9tsinhat=Lsinhats→s−9

Q: Determine the Laplace Transform of sin³3t

A:

Q: Find the Laplace transform of cos2t.

A:

Q: ut

A:

Q: Find the Laplace transform of: (a) cosh at (b) sinh at

A: Given (a)cosh at  and (b)sinh at We have to find the Laplace transform of them…

Q: Solve the laplace transform Z(cos (at)sinh(at)

A:

Q: Find * L(sin? at) 2

A:

Q: Find the laplace transform of et

A: See the attachment

Q: 2. Find the Laplace Transforms of (te' sin(at))" when a = 1

A:

Q: dt (te-¹u (t))?

A:

Q: . Calculate the Laplace transform L {sin? t – cos²t}. -

A:

Q: Calculate the Laplace transform of the following functions: (4.1) ť sint.

A:

Q: Find the Laplace transfomation of the function f(t) : cosh at sinh bt

A: The given function ft=cosh at sinh bt. To find: Laplace transformation of the function. Formula…

Q: L (sin't}

A:

Q: Determine the Laplace transform of: (a) cos(st + 0) (b) sin(ot + 0)

A:

Q: Find the Fourier transform of -at TE|< 1 fCE) = otherwise

A: We have to solve the given problem.

Q: Obtain the laplace transform of

A:

Q: Flw) = Sinlw) e?Jw o.5W

A: Given function is: Fω=sinω0.5ωe-2jω or Fω=2sinωωe-2jω The standard inverse Fourier transform…

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

A:

Q: Derive the Laplace transform of the following function sinh at

A: We have to derive the Laplace transform of function: sinh at We know from definition of hyperbolic…

Q: How many poles does the Laplace Transform of a square wave have?

A: The Fourier series for square wave is fx=4π∑i=1,3,5,...∞1nsinnπxL. The Laplace transform is…

Q: Use the definition of Laplace Transforms to show that:

A: Given:L{cos(at)} = s/(s2 + a2)

Q: 3ヒ Sinh-

A:

Q: Determine the Laplace transform of i) te s

A:

Q: What

A:

Q: Find the Laplace transform of equation.

A:

Q: Find the sine Fourier transform for f (x) = sin æ, x < 0,

A:

Q: L(sinh at)

A:

Q: Laplace transform of sin(5t)u(t) is

A:

Q: Use the definition of Laplace transform and Euler's formula to find the Laplace transform of cos t…

A: We use the definition of Laplace transform and Euler's formula to answer the given question.

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: solve the following equation using laplace transforms: note:= 1 not 11 dx - 3 dx + 2x = 0, x(0) = 0,…

A: Given d2xdt2 -3dxdt + 2x = 0                                    (1)x(0) = 0…

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

A:

Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

A:

Q: f (t) = et sin (3t + 2

A:

Q: Find the Laplace transform using convolution theorem: Te2" sin(2(t - T))dr.

A: So, here f(t) = sin(2t) and g(t) = t e2t.

Q: Find Laplace Transform of f(t) = cos3t By DEF.

A:

Q: •t Set sin 2t dt

A:

Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: Ucs]: ucv) if the given Ucs) =

A:

Q: Find the Laplace transform of sinht - cosht.

A:

Q: 3. Apply the change of scale property to find the Laplace Transforms of: sin(3t) 6 sint when, L- =…

A: The Laplace transform can be calculated using the transform table. The change of scale property can…

Q: Calculate the Fourier transform of the following displaced aperture to find the spatial distribution…

A:

Q: sin(2t) cos(2t)

A:

Q: What is the Laplace transform of 8'? 1 se sin s Cos s

A:

Q: The Laplace transform of L(sin7t) is

A: We have to find Laplace transform of…

Q: Find the Fourier transform of the unit rectangular distribution f(t) o otherwise. Determine the…

A: Analysis of the fourier transform of the unit rectangular distribution

Q: Solve for the laplace transform of e^(at) cos bt using using the integral formula for laplace…

A: The solution is given as

Q: 5. * + 9x = cos 2t

A: