Find the inverse Laplace transform of 2s-3F(s) | 7° f(t – 7) dr 3 0. Uc(t)(1+sin(a(t – c))

Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: f (t) = 2e¬ + 4 sin t cos t %3D

A:

Q: Find the Laplace transform of below f(t): f(t) = 14 - 2t² + 7t¹/2 — t7/2 f(t) = -9et + sin(8t) +…

A: Use Laplace Table.

Q: 1 Find the inverse transform: F(s) s2+4s+4

A:

Q: Calculate the Laplace transform L{sin(t – k) · H (t – k)}

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: f(t) = [1 – u2m (t)](2 sin t – sin 2t)

A:

Q: 10. Find the Laplace transform of f Ct)= t sin 4t cos t• 58 C. 852 (s?+16)3 45 b. 4s2 do 3 (s?+I6)°

A:

Q: 1 Find the inverse transform: F(s) s2-4s+8 1 A. e2t sin 2t C.e2t cos 2t B. e2t sin 2t D. e2t cos 2t

A: The solution of the problem is given in the next step.

Q: 2Ct-3) Cos Ct-3)

A:

Q: a) Find the Laplace Transform F(s) of the function. f(t) = (3-e²+ + 56+) sin (7+) 2+

A: The Laplace transform is a mathematical technique used to solve linear ordinary differential…

Q: (b) Given f(t) = sinh(-4t)U(t – Jand g(t) = sinh(-4t) * U(t – ) where U(t – a) is the unit step…

A:

Q: Do the Laplace transform of x(t) x(t) = (t + 1)²e¹u(t) + e-3t cos (t) u(t)

A:

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

Q: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

A:

Q: f(t) = t cos 4t sin 2t

A:

Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

A:

Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

Q: 1 Find the inverse Laplace transform of F(s) (s+a)*(s+b) for t >0

A: Given function is, F(s)=1s+a2s+b

Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

A:

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

A:

Q: 9-12s-4s2 C. (s2+4)2 +12s-2s2 (s2+4)2 9+12s-4s? D. (s2+4)3 -12s-2s? (s2+4)3

A:

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

Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=4e³jt f(t) may be…

A:

Q: Find the laplace transform of t sin (t) A. 2s/(s2+1)2 B. 1/s2(s2+1) C. 1/s2 + 1/s2+1 D. -…

A:

Q: Find the Fourier transform of the following function. f(t) = sin2t [H(t+1) - H(t-1)]

A: Given : Function : ft = sin 2t Ht + 1 - Ht - 1   To find : Fourier transform of the given function.

Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

A:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=3e²jt f(t) may be…

A: If Fω is the Fourier transform of f(t), then using the linearity property, it can be written that…

Q: Find the Inverse Laplace Transform. F (s) = 6s-54 82 +16

A:

Q: Find the inverse Laplace transform of f(t) F(s) = = help (formulas) (Notation: write u(t-c) for the…

A:

Q: Find the Fourier transform of f(t) defined by: t < 0 t 20 f(t) = e-6t

A: We know that the Fourier transformation of a function fx is  fs=12π∫-∞∞eisxfxdx

Q: cos 4t-cos 2t 3. f(t) = t

A:

Q: Calculate the Laplace transform L{f} of the function f(t) = et+2 8t° + 8 sin(2t) + 9 using the basic…

A:

Q: f(t) = 9t²u₁o(t) + 6(t - 5)³u6(t) - 12 sin (-1) us(t) 3 15

A: Some of the properties of the Laplace transform…

Q: 3.0 f(t) 2e-104 +t+5e 1)(t +5) 4.0 f(t) (t- 5.0 f(t) = t² -7+ sin 2t %3D %3D B.Find the I

A:

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: