Jx + L. f(x) = L, *0 > x> 7- f(x + 2L) = f(x) Problem 2: %3D 0

Q: 8. x(t) = e2" (t³ + 3t) %3D

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Q: 6. 7. 5 (s+3)² 3 s2-32

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Q: f(t) = v1+ sin t + (6t)13 + t² sin 4t

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Q: Cestit

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Q: a) Give a recursive algorithmto solve the following recursive function (hint: use Fibonacci as a…

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Q: 1 s²+4s+4

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Q: sin 3t f(t) t

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Q: 2t e Sinht

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Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) =…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: 0<x <A, x. f(x) = 0, cosine series, period 47 Problem 4: %3D T<x < 2N;

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Q: 2s2+10s F(s) (s + 1) s2-2s+5

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Q: f(t) = cosh wt sin wt

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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: 8s + 12 s² + 4s + 29

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Q: (1-1z1, 1리1

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Q: 21 4 39. (s + V2jª 40. s2 - 2s - 3

A: 39. Given  F(s) = 21s + 24       = 3!.213!s - -24 Apply laplace inverse both sides, we get L-1Fs =…

Q: -3iw sin 5w 20e F(@) = %3D 3

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

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Q: 10s2+5s+4 F(s) (s³–6s²+11s-6)(s³)

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Q: 0 9. f(t)=t-n 0 if t 2π

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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: 15. 16. 0.5- 2

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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: 2s-1 's²-6s+18*

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Q: Solve Laplace Transform. Show all work, please.

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Q: 5: F(s) = (+2s+1) +7

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Q: 2s2 + 5s - 6 s3 - 3s2 – 13s + 15 69 3 69 A. f(t) = " e5t -1et C. f(t): est +1et 3 -3t 32 -3t 32 16…

A: L-12sz+5s-6s3-3s2-13s+15Take the partial fraction of…

Q: Evaluate the definite integral by the limit definition. x dx

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Q: (1 1<t<3 f(t) = 0 otherwise

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Q: f(t)= tuŋ(t)+(4−2t)u₂(t)+(t−4)u(t)

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Q: 3. y" + 2y' + 5y = t cos(5t) - 6,y(0) = 1, y'(0) = -2

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