Question 18 Find the transform of the given function by use of a table. f) = 3e * sin 5t 3(s + 4) F (s) = (s + 4)2 + 25 15 B F(s) = (s + 4)2 + 25 15 © F() = (s - 4)2 + 25 F (s) - (s + 4)2+ 25 E) There is no correct answer among the choices.

Q: Find inverse Z-transform 1+- X(z) = (1 - -)*

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Q: We want to prove 11" - 6 is divisible by 5 for all n21 by using mathematical induction. All we need…

A: The correct answer is D.

Q: Question 14 Find f(1, 3) for f (x, y) =2x³y²+2y + 4x. The f(1, 3) is Blank 1. Blank 1 Add your…

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Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

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Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: What is the inverse Laplace transform of 2/(s-3)^2 + 2^2? (ILO2) 2 (s - 3)² +2² O Option 1 O Option…

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Q: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

Q: 2. Suppose f20, f is continuous on [a, b], and f(x) dx = 0. Prove that f(x) =0 for all x e [a, b).…

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Q: Suppose a 3rd order constant coefficient ODE has a characteristic equation that had 3 distinct…

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Q: Problem 2. For the function defined by if -22x20 0<x<2 52 - 2 f(x) = 2x+2 sketch the 4- Period…

A: As per the question we are given a piecewise defined function f(x)  with period 4 and we have to…

Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

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

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Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

Q: 더 - C 1 -2s +6 s+2 82 - 4s + 8+1 C S-2 1

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Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

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Q: f *g =g *f , where (*) is the convolution in Fourier transform. Select one: True False

A: Given: (*) is the convolution in fourier transform. To prove:  f*g=g*f. Proof: It is known that…

Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

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Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: 4.35 (Inverse Transforms) For each X(2), find the signal rn] for each valid ROC. 322 (a) X(2) = +…

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Q: Q4.) F(s) L' = 45+93 252+85+40 } 45+9 252 = = 2 = +85+40 =2 2 L" { -1 L+ تو 2/2-1 -2t ? (pat し S+…

A: Here we use the sum and product by scale of Laplace transformation.

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

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

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: .2 (s² + 6s + 7 L-1 s² + 3s + 2

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

A: Solution:-