Use the Second Shift Theorem to determine the following i.

Q: x(t) =

A: To find the Fourier transformation of xt=u3t+2e-j2t

Q: Make up two functions  f1and f2 that have the same Laplace transform.

A:

Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: find the inverse laplace transform

A:

Q: Find Fourier Transform the following function as in graph: (-1,0) (1,0) Pi

A: The given problem is to find the Fourier transform of the given function as in the graph. We have to…

Q: Calculate the inverse Fourier transform of the function, At) if F(@)= 200(jw+1) jw(jw+10)(2jw+4)

A:

Q: Calculate the Fourier transform of f(x)= e if x>0 and f(x)30 otherwise

A: To find - Calculate the Fourier transform of fx = e-axif x > 00otherwise

Q: Use the properties to find Fourier transform. f(t) -10 -5 5 10 t (ms)

A: The given curve can be approximated to:

Q: Determine the inverse Laplace transform of the given function.

A: Given function is Fs=7s3-2s2-3s+6s3s-2

Q: Find the inverse Fourier transform for each spectra a & b(Use e frequency-shifting property):

A: a) Using the fourier transform duality and frequency shifting property Using duality 1·Rect2Tt…

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

A: The given function is, fx,y=e-x-y+x+y The two dimensional Fourier transform is defined by,…

Q: Find the inverse transform.

A:

Q: Write the function in terms of the unit step function and find the Laplace transform of the…

A: In this question, we write the f(t) in unit step form and then using property we find the Laplace…

Q: t sinh 4t

A: We are given : t sinh 4t Now, L{sinh at}=as2-a2⇒L{sinh 4t}=4s2-(4)2=4s2-16 Now,   Lt sinh…

Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: Find the Inverse Fourier transform of Tre-la.

A:

Q: Need help with these 4 problems.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the Fourier transform

A:

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

A:

Q: Obtain the Fourier expansin f I+ 9X în -3 LXLO 3 f(x) = %3D 3.

A:

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: Find the inverse laplace transform of the function

A:

Q: Find the inverse transform of the following.

A: Given,       F(S)=25S3S2+4S+5

Q: Find the Fourier transform of f (x)- 2ix if -1<x< 1 lo f(x) = otherwise

A: The Fourier transform of the function f(x) is defined as ∫-∞∞eikxf(x)dx. The Fourier transfrom…

Q: . Find the Fourier transform of (x if 0<x< a f(x) 0 otherwise

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Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: Use the definition to find the Laplace transform of functions to follow

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Q: Define the Fourier Coefficients.

A:

Q: Give the Fourier transform of the function f. f(x) ha x € [0,₁] {* otherwise. =

A: Above question is solved.

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: Obtain the inverse laplace transform of the given function.

A:

Q: Find the Fourier transform of (x) (13x if|x] 1

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Q: Find the inverse laplace transform of the function.

A:

Q: Solve this problem with Laplace transformation:

A: In this question, we solve the wave equation by using Laplace transformation.

Q: Find the inverse laplace transform

A:

Q: Find f(x) if its Sine Transform is Hence find F, ().

A: Given that f(x)=e-axx The fourier sine transform is  Fs=∫0∞f(x)sinsxdx=∫0∞e-axxsinsxdx…

Q: obtain Fourier transformation of below functions: リそ(e)、e

A: Fourier transform of the function

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: The given inverse laplace transform is L-16s-1s22We have to find the appropriate algebra .

Q: Find Inverse Fourier transform of f(w) A B - B 3 2.

A: The given Fourier transform is: To find the Inverse Fourier transform.

Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

A:

Q: Find the Fourier transform of the function : S (t) = e-x2 %3D

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Q: x(t) A -1 -A

A:

Q: Find the Fourier inverse of the function: 1 F(k) (2+ ik) (3 +2ik)

A: Consider the provided question, Given, Fk=12+ik3+2ik We have to find the Fourier inverse of the…

Q: x(t) + 3 -2 2

A:

Q: Use laplace transform to f

A: Given: The differential equation is, y1' - y2 =0 ........(1)4 y1 + y2' -4 y2 -2 y3 =0 ......(2)-2 y1…

Q: Find the 2. transform of the tollowing Signal x(k)= %3D otherwise

A:

Q: transform of the signal

A: