If f(t) = e-atcosh(bt), its Laplace transform is given by %3D (s-a) (s-a)2-b² (s+a) (sta)²-b² (s+b) (s+b)²-a² (s-b) (s-b)²-a²

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

A:

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: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

A: If Fourier transform of f(x) is F(p), then we have to prove that the Fourier transform of f(x)…

Q: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

A:

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: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

A:

Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

A:

Q: Find the inverse Laplace transform (a) In 2 s+2

A: (a) we have to find the inverse Laplace transformation of  We use the differential formula for…

Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

A:

Q: a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

A:

Q: Calculate the fourier transform F (P) following function: f(x) = ¹/2x²(x³ + 3x²-5x) OF # Where F(p1…

A:

Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

A:

Q: What is the the laplace transform of  f(t)= 7t +19 +7t2 H(t-6)

A:

Q: -2 x(1) (a) 2

A: Please post multiple questions separately, as per policy first question has been solved. The given…

Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: (a) A(s) = 5s-44 (s-6)²(s+1) -3s

A:

Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

A:

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: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

A:

Q: The Laplace transform of f (t) =t² U(t – 3) is: %3D F(s) = e* (-) F(s) = e=3* (; +) O This option O…

A:

Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

A:

Q: Compute the Fourier transform of the following function: f (x, y) = e-(1x-y|+|x+y[)<+

A: Calculate Fourier transform: Fu,v=∫y=-∞∞∫x=-∞∞fx,ye-2πjux+vydxdy…

Q: Find the Fourier transform $\tilde{f}(p)$ of the function 4x²e-5¹ for x ≥ 0 for x < 0. f(x) = {…

A: fx=4x2e-5xfor x≥00for x&lt;0

Q: Find the Laplace transform F(s) = f(t)= (3-t) (h(t-4)-h(t-6)), for a 0. F(8) = C {f(t)} 2h(3-1)/s^2…

A: We know for a function g(t),           L{g(t)h(t - c)} = e-cs L{g(t + c)} Here, h(t - c) is…

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

A:

Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem

Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

Q: s+4 (d) s' + 2s + 5

A:

Q: Find the Inverse Laplace transform of 5s-2 s² (s+2) (S-1) a) b) S (5² +1 (s²+a²)(s²+b²)' a² # b², ab…

A:

Q: 3) Given that f(t)= 4 e-3(t-4) a) Find Adf(t)/dt] by differentiating f(t) and then using the Laplace…

A: According to the given information, the given function is: