Find the inverse Laplace transform f(t) = L¯¹{F(s)} of the function F(s) = = You may use h(t) for the Heaviside step function. f(t) = L -1 e-38(8s + 7) s² + 25 = e ³³(8s + 7) s² + 25 help (formulas)

Q: Q5. Solve the following by using Inverse Laplace Transform s² S4-1 (ii) 3s-14 s²-7s+10

A: Given that, (i) s2s4-1(ii) 3s-14s2-7s+10 The objective is to solve by using Inverse Laplace…

Q: sform of s+2 s° (s+1)(=

A:

Q: Find the laplace transform of e-6t + e5t

A:

Q: x (t) 1 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13

A: We know that if a function f is periodic on [a,b] with period (b-a) then Fourier coefficients…

Q: Using the tables write down the transforms of the following functions/ (i) t² – 3t + 4 (ii) 2 cost…

A:

Q: -25 -35

A:

Q: G -) Find the inverse Laplace transform f(t) = ¹ {F(s)} of the function F(s) You may use h(t) for…

A:

Q: A1: Find the Fourier transform, defined by F(k) = f(x)ek* dx, of the function x+1 -2 <x < -1 f(x) ={…

A:

Q: 3s Find L-1 s2 + 2s + 5

A:

Q: 3s Find the inverse Laplace transform of the function F(s) = s2 – s – 6 - -

A:

Q: Find the inverse Laplace transform of the following functions. 2e-3s s(s - 1)(s - 2) 3ge-5s (a) F(s)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: For the data shown, determine the constants and/or coefficients for the discrete Fourier transform.…

A: Step 1 The kth discrete Fourier transform (DFT) coefficient for the set of N x-values corresponding…

Q: (1 point) The graph of f(t) is given below: 10 = (Click on graph to enlarge) a. Represent f(t) using…

A: A graph of the function f(t). h To Find: a) ft b) Laplace transform Fs=Lft.

Q: Let f(x) = (x² + 1) , – n<x<n be a periodic function, then the Fourier coefficient az = Answer:

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: :) Find the inverse Fourier transform of F(w) : 3-4iw-w² [Hint: А В + x-b] (х-а)(х-b) х-а

A: solution given below..

Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: H(s) = 1 s³ +bs² (use integral rule)

A:

Q: 6s + 33 Find the inverse Laplace transform of F(s) s2 + 9s + 18 f(t) =

A: We will find out the inverse Laplace transform.

Q: f(x) 2. Consider the periodic function given by f(x) = x² over the interval (-x, x). A sketch of the…

A: Given periodic function is fx=x2 over the interval -π,π The average value of the function over the…

Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-

Q: Find the inverse Laplace transform -¹{F(s)} of the function L-¹{F(s)} = F(s) = NOTE: Express the…

A:

Q: Example F(s) = find the inverse Fourier transform: 6(s + 10) (s + 5)(s+8)

A:

Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = 3e-10t + 9t + 5et, defined for t >…

A:

Q: Using transform ,find the result of the integral x =rcos(0), y =rsin(0) e-(7x2+3y") dxdy

A:

Q: Using only the Laplace transform table to obtain the Laplace transform of the following functions:…

A:

Q: 7s2 + 2s + 45 Find the inverse Laplace transform f(t) of F(s) = (s + 3)(s² + 25) The inverse Laplace…

A:

Q: /2 f(x) 3r

A: Given graph is From the graph we can see that Point are O(0,0), Aπ,π2, B2π,0, C3π,π2, D7π2,π4

Q: Find the inverse Laplace transforms. (A) F(s) = (B) F(s) = 5s +1 s² - 25 1 (s+a)(s+b)

A:

Q: x2, Ixl a

A: