Find the Laplace Transform of the following functions

Q: Compute the Laplace transform. Your answer should be a function of the variable s: s(πt)} = c{₁+ +…

A:

Q: Find the Laplace transform of f(t) = = = F(s) (3[e^(-9s)+e^(-8s)])/(s^(2)+pi^(2)) 0, 3 sin(at), 0, t…

A:

Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

A:

Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: Find the Laplace transform of f(t) = te *sin(2t). 4s + a Then you obtain F(s) = Please type in a =…

A: Given that ft=te−tsin2t We have to Laplace transform of ft=te−tsin2t that we have to find Lte−tsin2t…

Q: 1 1 s? +4 s -4 (s+3)

A:

Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

A:

Q: Find the Laplace transform F(s) of the function f(t) = e"6(t - 3) F(s) = e^(20)

A:

Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

Q: What is the Laplace Transform of f(t)=Dv((1-cos(8t))/2)? O s/(s^2+16) O 4/(s^2+16) O 4/(s^2-16)…

A:

Q: Find the Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

A:

Q: Find the Laplace transform F(s) = L{f(t)} of each of the following functions. (i) f(t) = t^2 / 3 (…

A:

Q: QI\ Find Fourier transform for: A) f(t) = U(t)sin² (3t) C) f(t) = elct sinh(bt)

A: (A)Given the function f(t)=u(t)sin2⁡(3t).Rewriting, .We know that, .The Fourier transform of f(t) is…

Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

A:

Q: y" − 3y' + 2y = 4e²t ; y(0) = -3, y '(0) = 5 -e²t 4e2t et + + (1+t)4e²t - 7et 7 7 7 -e²t4te²t et + 7…

A:

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

A:

Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

A:

Q: 1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i)…

A:

Q: d the Laplace transform F(s) of f(t) = 5tu(t – 4) F(s) = (5/s^2+10/s)e^(-5s)

A:

Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (3,1,3)…

A: The differential form of the line integral in the three dimensional space is given by the expression…

Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

A:

Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

A:

Q: What is the Fourier transform of 8(x) dx F(k) = 100 = 2T -ikx 8(x) =?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Prove that the Fourier transforım of f' (x), the derivative of f (x) is – ip f (p), where S(p) is…

A: Answer: For the given data,

Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

A:

Q: The inverse Laplace transform of F(s) = = -98 e 8² +18 2 is

A: