With the help of the Laplace transform and its properties, which of the following functions equals the result of the integral CO a) FG) = b) F(s) = ++1)2+1 c) F(s). (s+1) (s+1)2+1 d) F(s) (+2) (s+2)2-1 e) F(s) (s+2) (6+2)2+1

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

A:

Q: The Laplace transform of L[2 sin 6t sin 3t] is 2s s2 + (3)2 s2 + (9)² s + (3)² s2 + (9)² | s2 + (3)²…

A:

Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: What is the Fourier transform of the following e-j10ntx(t)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-jktf(t)dt,…

Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

Q: Q)find the inverse Laplace transform 2p L-1 - (p² + 1)²) 2) r (m[1+) In

A:

Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

A:

Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

A:

Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

A:

Q: Let ft) be the inverse Laplace transform of 7s2 + 9s + 30 F(s) = (s2 + 4s + 5)(s – 5)" What is…

A:

Q: Find the inverse Laplace transform of 7s (3s²+75)²

A:

Q: Find the inverse transform of X(z) = -3z 2z² - 5z +2 given that the ROC includes the unit circle.

A:

Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

A: