Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21] Ob. 2+e- '[(3/2) cos 21 - (9/2) sin 21] O c. e( sin 21- cos 21) O d. e'(2 sin 21r - 3 cos 21) Oe. None of these.

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: Inverse Laplace transform of (a) e cos 2t+4e* sin2t (b) e cos2t-4e* sin2t (c) 4e cos2t-e* sin 2t (d)…

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Q: Examine the discrete time Fourier transform of sin) 5nn, .cos( 2 x[n]

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Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

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Q: 2s + 16 s² + 4s + 13

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Q: Find the complex fourier Intergral Representationn of 0, x 0

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Q: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

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Q: Given that find the Laplace transform of √cos (8t) C{√/cos(8t)} = (-16)^(-8/s)/(88 (5/8)) CL cos(8t)…

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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: 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: Prove that Fourier cosine transform of f(x) = cos(x), 0<x<3 is: 1/27 (³ sin 3(p-1), sin 3(p+1) p-1 +…

A: Introduction: A Fourier remodel (FT) is a mathematical remodel that decomposes features relying on…

Q: -t cos(3t

A: To solve this problem, we  use the  result of laplace transformation.

Q: Question(s) 2. Find the Laplace transform of t°cosh at 3. Find the Laplace transform of e-2tt sin³t…

A: As per Bartleby Instructions, only q.no 2 can be solved. Upload others separately.

Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: What is the Laplace transform of the following: answer need to be clear and all sets shown F(t) = 3t…

A: Remember : Ltkft=-1kdkdskLft Leatft=Fs-a

Q: 9-15 FOURIER SINE TRANSFORM 9. Find F,le ). a>0, by integration.

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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: Solve the Inverse Laplace Transform 6 1 F(s) = ((25 + 3)² + = -) 0 ² e 5s 3

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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Q: s+4 (d) s' + 2s + 5

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Q: 1. Find the laplace transform of 2e^(3t) sin 4 t 2. Simplify i²⁹ + i²¹ + i 3. Write in the form a…

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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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