s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1

Q: Find the Fourier transform of of 6e-ltl.

A: We find the F.T.(Fourier transform) of 6e-|t|.

Q: 2 f(x) = (ae-4x + be-3x + ce-2x) if x > 0

A: The given problem is to find the Fourier cosine transform of the given function and also find the…

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: Solve the Inverse Laplace Transform. Write your answer on clean paper clearly and readable. Don't…

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Q: 2- 1 2

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Q: Determine the transform of the following functions using any methods. 2 3 + t2 3

A: Let ft=14t2-23t3+t32 Taking Laplace Transform both sides and using the fact that it is linear , we…

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

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Q: Using Gamma function, Find the Laplace transform for √7

A: The solution is given as

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

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Q: Find the inuerse Transform of the follawing: FG) + 4 3-3 - S-8 35?+12

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Q: -i 5.8.2. (a) Evaluate the discrete Fourier transform of -1 1 i (b) Evaluate the inverse transform…

A: Solve each using the properties and method of determining discrete Fourier transform and inverse…

Q: 3 Compute the Fourier transform and inverse of the following inputs use fourier matlab function : •…

A: (1) rectangular plus Input syms a b t f = rectangularPulse(a,b,t); f_FT = fourier(f ) Output f_FT =…

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be−³x + ce-²x)² if x>0 if a = 2, b…

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Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-1)2

A: Given: xz=2z-11-2z-12 To find: Inverse z-transform of given function.

Q: Find the Fourier Cosine Transform of the function -mx f(x) = (ae-m +be¯¹x}³_if_x>0 if a = 5, b = 4,…

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Q: Find the Fourier transformation of the f(x) function given by the graph -T ㅠ ㅠ 14 π

A: The Fourier transform of a function f is given by

Q: Enter below the first three terms of the inverse transform of 4 z Z-1 Round the variables if…

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Q: Q1. Find the Fourier Transform in both f format and omega format. T 4 otherwise f(t) = A 0. T

A: Fourier Transform:      A signal xt and its frequency domain, Fourier transform  Xω is defined as:…

Q: Jsing the z-transformation table, find the Z transform of the following: (a) {sin} (c) {sinh 2n} (b)…

A: Z transform using table

Q: Find the transform of the function: g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: Let f be a function of the real variable t, absolutely integrable over R and continuous over a…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

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

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

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Q: Use (8), to evaluate the given inverse transform. (Write your answer as a function of t.) (t) dt =…

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Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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Q: nd the Fourier Sine Transform of the function f(x) = = ||

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = -e3it f(t) may be…

A: Here, gt=-e3jtft

Q: VFind find the fourier transform of the signal in figure

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Q: Determine the transform of the following functions using any methods. t2 sinh 3t

A: Given function is : t2sinh3t

Q: Determine the transform of the following functions using any methods. e3t sinh 3t

A: We will calculate the Laplace transform of the given function . We have the following definition of…

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

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