7) Laplace Transform of Integral of f (t) was corresponding to the Laplace Transform of f () divided by s.

Q: 8 2. 5s (s²+4).

A:

Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

A:

Q: 5. Determine the Laplace transform of tet sin? t using any methods introduced in the module.

A: Given ft=te4tsin2t

Q: DEFINITION

A: We will find the Laplaces Transform.

Q: As requirement in finding Laplace transform of function of the given form, the limit of the function…

A:

Q: laplace transform of F(x+1)(x+2)

A: The given function is Fx+1x+2. The following properties of Laplace transforms are used in solving…

Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

A:

Q: 1. In cases of Laplace transform, specify the region of convergence. Compute the Laplace transform…

A: f(t) = sinπt2  ; 0 ≤ t ≤ 5Laplace transform needs to be found... We know that, Lsin(at) = as2+a2Now,…

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: Apply the theorem of integration of transforms to find the Laplace transform of f(t)=2sin5t. Show…

A:

Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

Q: Find the inverse Z-transform of x (z) = tanh z

A: The given data is: xz=tanh-1z To find inverse z-transformation of the given data.

Q: 5. Calculate the Laplace transform L{sin(t - k) - H(t -k)}

A: To find the Laplace transform of

Q: 2. Determine the Laplace transform of the function rsinr using the 2nd derivative theorem.

A:

Q: 5) Evaluate te " cos 3tdt using Laplace Transform! -4t

A:

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

A:

Q: f(x) = e-2x sin 5x

A: Given that: find the laplace transform showing complete solution f(x)=e^(-2x) sin 5x

Q: 7. Given that the Laplace transform of te is F(s) =- (s + k) Laplace transform of te" without using…

A: The solution is given as

Q: What is the value of the inverse Laplace transform given by L* 2s +3 -1 s2 +2s +3 J

A:

Q: L[sin(3t - 4n)]

A:

Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

Q: 27. Explain why this function does or does not have a Fourier transform. If it does, compute its…

A: Consider the given function. fx=0,        x&gt;1excosx,x&lt;1 Fourier transformation is defined as.…

Q: x(t)=sin(t-3T)

A: Z transform

Q: i) Find the Fourier sine transform of (sinx, 0a f(x)= %3D

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: 5 sinh (3t) +4 cosh (3t)

A:

Q: Laplace transform of 8(ta) is ea as True False

A:

Q: In general, if two functions have the same Laplace transform, these functions cannot differ over an…

A: Solution

Q: 1 Find the inverse Laplace transform of X(s) = given ROC: -1<o<3. (s + 1)(s – 3) x(t) =

A:

Q: 2. Determine the Laplace transform of the given function using the Table coshbt te3t sin2 t

A:

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

A:

Q: Find the finite Fourier cosine Transform of f(x) = x2 in 0 < x < 4. CoSx Show that J_2(x) = -sinx –…

A: Multiple :  We need to find Fourier cosine transform of  f(x) = x2  in  0 &lt; x &lt; 4. Cosine…

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

A:

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

A:

Q: Inverse Laplace transform of s2+9 is given by O cosh(3t) O cos(9t) O cos(3t) O sin(3t)

A: Find the inverse Laplace transform of ss2+9 we know that L-1ss2+a2=cosat

Q: The non-periodic function f(x) is defined by f(x) = e-l=l. Obtain the Fourier transform of f(x).

A:

Q: FIND INVERSE LAPLACE TRANSFORM, USE THE LAPLACE OF INTEGRALS where k > 0. s(s-k)'

A:

Q: 5. If the Laplace transform of f(t) find F(4s)

A:

Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

Q: where k > 0. s(s-k)'

A: Using Laplace transform of integrals  L∫0tftdt=1sFs Also,  πss-k=πsFs where Fs=1s-k

Q: Find laplace transform of x" + 3x' + 2x = t(e^(-t)) Where x'(0) = 0 , x(0) = 1

A:

Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

A:

Q: What is the Laplace transform of 7sin (6 t) sinh(6 t)

A: What is the Laplace transform of 7sin (6 t) sinh(6 t)

Q: 1. Prove the scale change theorem on the Laplace transform, that L[f9) = aF (as)

A:

Q: 3. Find the Fourier transform of f(x) = {1, |x| 1 Also evaluate .00 Sinx dx

A:

Q: The Laplace transform of the product of two functions is the product of the Laplace transforms of…

A: False. The Laplace transform of the product of two functions is not the product of the Laplace…

Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

A:

Q: 9. Solve the IVP using Laplace transform: x' – x = 2cos5t, with x (0) = = 0.

A: Given equn isx'-x=2 cos 5t with x0=0taking both the side laplace transformation we get…

Q: 4. Determine the Laplace transform of the Laguerre polynomials, defined by et dn Ln(t) : ni din…

A: Solution:

Q: 2. The laplace transform of f(t) = et

A:

Q: Solve for the inverse Laplace transform of O 4cos at - 3 sin at 4 sin at – 3 cos at 3cos at - 4 sin…

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1ss2+a2=cosatL-1as2+a2=sin(at)