The Laplace transform of 1 a) √s (S-1) 1 √(√S-1) b) IC (VT) IS?

Q: -* is -. р Show that the finite sine transform of 1 . TC

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

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Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: 582 28s - 26 (s+2) (S-2) (5-2)

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Q: 3. Find the transformation fourier function from the following exponential function: fk) = e " jika…

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Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

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Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

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Q: (a) A(s) = 5s-44 (s-6)²(s+1) -3s

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Q: Use direct integration to find the Fourier transform G(f) of signal

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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: 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: nsform of 20 sinc (10(t - 10)

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

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Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: x(t)=sin(t-3T)

A: Z transform

Q: Find Fourier transform for : A) f(t) = e-3t cos² (3t) B) f(t) = te tu(t - 3)

A: (A)Given f(t)=e−3tcos2⁡(3t).Now, we'll find the Fourier transforms for individual terms.The Fourier…

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

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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: XP+2ap +2a') ple 23: Find the inverse Fourier sine transform f(x) of F, (P- ap

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Q: Find the Laplace transform of sinh3 4t

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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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Q: Find the inverse laplace 1.) F(S)= 5-2 5-45+5 laplace transform

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Q: Determine the laplace transform e-6t + cos 6t

A: Determine the laplace transform e-6t +cos6t

Q: find the fourier transform of the following function EXFAEN ISTER xxx H 2 * (t) = cos³ wot 5 x (t) =…

A: To find the Fourier transform for the following functions xt = cos2ω0t xt=πt-32 The Fourier…

Q: Find the Fourier Transform of Sel2t -1<t<1 f(t) = {e1²t 0 elsewhere

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Q: Q3: a) Find the Z-transform for f(k) = k ek a

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Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

Q: (2x – 8x² , if]x| 2 f(x) :

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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…

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