si |x| < a 1. f(x) = [1 0 en otro caso ||

Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: e-4s 17. Y(s) = s3

A:

Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: 2s3+ 4s2+1 F(s) (s2+ 2s+17)(s²+ 4s+20)

A:

Q: Q8 Find the Fourier transforms of: sin* - pn Sx< pn f(x) otherwise

A:

Q: 16s+20 9. 4s2-2 8 10. s2+4s

A:

Q: the inverse transform of the given functions: - F(s) = S²-130+14

A:

Q: A. B. Determine the Fourier transform of the following: f(t) = {te- C. D. F(w) F(w) = F(w) = F(w) =…

A:

Q: 10s3+1 1. F(s) %3D s2+6s+5

A: The inverse Laplace transformation transforms a function in s of a complex variable to a real-valued…

Q: S F(s) = (s + 3)(s² + 4),

A: The solution is given as

Q: 2s2 + 5s – 4 3. s3 + s² – 2s -

A:

Q: Use the step function to calculate the transforms of the functions below. Evaluate at s = 1.

A: The transform of the function f(t) is represented as F(s), and it is defined as ∫0∞e-stf(t)dt, where…

Q: f(t)=cos(at). f (t) = 2cos(3t). f(t)=1-cos(wt) f(t)= 4t · -f(t)=e.

A: Given,     1.  f(t)=cos(at)

Q: 3. 6 сos(4t — 1)

A: The solution is given as

Q: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

A:

Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: too x(Ju) - xt) e ot * the famer heansfarm ナR X( Jw) Sen %3D

A: Fourier transformation of a function x(t) will be X(t) and inverse Fourier transformation of…

Q: L5s? +o 2 -50 キ (6) %3D (4の)(84))(++)

A:

Q: 5 s (s – 2)2

A: And: 5e2t(2t+1)

Q: 5. 6. 7. 6s²-13s+2 s(s-1)(s-6) s+11 (s-1)(s+3) 58² +34s+53 (s+3)² (s+1)

A:

Q: b. f(t)= 2 t et-3 +3 t<2 2≤t <3 3 ≤t

A:

Q: Compute the Fourier transform of the Heaviside function

A:

Q: lace transform for the periodic function. + 2. 4. 1.

A:

Q: 6s + 3 s4 s² + 4 +5. 2

A:

Q: -2 < x < 0, 0 <x < 2; Problem 1: f(x) = f(x +4) = f(x) %3D |2x-,

A: It is known that the general form of Fourier transform is, F(ω)=12π∫-∞+∞f(x)·e-Jωxdx

Q: a square represented by the graph as follows. Find the fourier transform pair.

A: The Fourier Series is given by :Here, 1. f(x) is the function2. L is half of the period of the…

Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A: Laplace transform of the function

Q: Solve the fourier transform of the following functions: 2. f(x) = {x if 0 < x < a otherwise

A: