Give the Inverse Laplace Transform of s/((s+2)(s^2+4)). * O -1 + (e^(2t))cos(3t) O t+ (9/4)e^(-2t) - (1/4)e^(2t)+cos(2t) (-1/4)e^(-2t) - (1/4)cos(2t) + (1/2)sin(2t) O - 2e^(-2t) - 4cos(2t) O (-1/2)e^(-2t) - (1/4)sin(2t)

Q: 1. f(t) = 5(e^-4t)[cos(10t)] A. (5s – 20) / (s^2 - 8s + 116) B. (s - 4) / (s^2 - 8s + 116) C. 50 /…

A: Laplace transferom of the function

Q: The impulse response of a DT system is h[n] = 3^(n-1)u[n] . Calculate the input x[n] which generates…

A:

Q: Determine the Inverse Laplace Transform of F(s)=(13s + 8)/(s^2+10s+169). The answer is…

A: Ans:

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

A:

Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

A:

Q: Laplace Transform. Please show your complete solution

A:

Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: 2e 5(s+1) (a) Determine I |(s+4)' ` s² +2s +5 3.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 3. f(t) = [sin(2t)]^2 %3D

A:

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: Determine the inverse Laplace transform of F(s) %3D O le^(9t)] - [5e^(4t)] O le^(9t)] + [5e^(4t)] O…

A:

Q: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

Q: Determine the inverse Laplace transform of F(s) = ¹/₂- O [e^(-9t)] - [5e^(-4t)] [e^(9t)] - [5e^(4t)]…

A:

Q: The Z-Transform of X(z) =5 (2^n)(u-2) is 5z/(z-2) True False

A: We're going to solve

Q: x^2y′′ + (3/2xy′ + [(1/36)x^2/3 − 7/144]y = 0 z = (1/2)x^1/3, w = yx^1/4 Solve it using the…

A: The transform method can be used to find the solution to the differential equation x^2y′′ + (3/2xy′…

Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

A:

Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

A:

Q: F{6f"(x) – 2f' (x) + 7f(x)} =

A:

Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 -…

A:

Q: find the value of the coefficientof the 9th harmonic of its harmonic fourier series in rectangular…

A:

Q: 7. Find the Inverse Laplace Transform of 3/ sqrt [(s - 2)^3] * A. (6/T) [ t^(1/2) e^2t] B. (6/T^1/2…

A:

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

A:

Q: The Laplace Transform of d(t) = * %3D 1/s^2 -1/(s+5) O 1/s O 1/(s-6) O 1/s^3 1-/s O t O 1

A: This question is based on finding Laplace transform of delta t.

Q: Express the half-sine wave load F(t) = sin (2*pi*t) as the Fourier Series and draw a graph (N=10,…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

A:

Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

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: Q6) (a) Prove that Fourier cosine transform of f(x) = cos(x), 1 sin 3(p-1), sin 3(p+1) p-1 p+1 +…

A:

Q: determine the inverse laplace transform of the funtions   1. 1/2 / s^2+9   2. 1/(s+2)^2

A: If L-1Fs=ft, then L-1Fs-a=eatft. It is known that: L-1as2+a2=sinat and L-1n!sn+1=tn.

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: Question 2: Calculate the inverse Laplace transform of the function F(s) = (s + 1)/(s^2 + 4s + 5).

A:

Q: find 2d Fourier transform of e^(-4pi*(x^2+y^2)) the answer is e^(-pi(x^2+y^2)/2) why?

A: Find the 2d Fourier transform of the given function and the 2D transform of f is defined by the…

Q: Find the laplace transform of [ 2/(s +1)]- [ 4/(s + 3) ].

A: If L[f(t)]=F(s), then f(t) is called inverse Laplace transform of F(s); f(t)=L-1[F(s)] Where;…

Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)…

A:

Q: Find Laplace transform of the function: f(1) = sin 21(et cosh 41+ cos(x + 1))+1(2 cos 31+1'e¹) 11.00

A:

Q: 6. The Laplace transform of e^-5t is * O (1/5)-s O (1/s)-5 O 1/(5-s) O 1/(s-5)

A:

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: