Find the Laplace transform (0,0st<1 f(t) = t-1, 1st<2 t+1, t> 2 A) F(s) =+ B) F(0) -+ 2e 25 %3D 20-25 C) F(s) = + 2e-5 3e-2s 3e D) F(s) 2e 2$ s2+1 9:28 PM ENG 53311 4/15/2021

Q: Find the laplace transform of x(t)=tcosh(6t) Select the correct response: (s^2 + 36) /[(s^2 -36 )^2]…

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Q: What is the Laplace transform of sint cost? 1 OF +4 O O O 1 s+2 1 2t+2 1 2s+4

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Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

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

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Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

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: Qs! Find the fourier transform of

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Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

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: 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: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: Determine the Laplace transform of (1+2)' -e +sinht 3 -St te st

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Q: Exercise 13 The Laplace transform of fie) - siat - 2U-2 is

A: Here we will use Laplace transform method.

Q: Find the la place Transfo F($) = t 2 Z F(t) = te

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Q: Exercise 1 Find the fourier series for the function. a) f(x) = { * if 0 <r< T 27 – if n <a < 27 and…

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Q: determine the inverse laplace transform of the funtions   1. 1/2 / s^2+9   2. 1/(s+2)^2

A: If L-1Fs=ft, then L-1Fs-a=eatft. It is known that: L-1as2+a2=sinat and L-1n!sn+1=tn.

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: 21 (s+ √2)* 7) L-¹ {=

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Q: Find the inverse Laplace transform of the function F(s)=s + 2/(s^2-8s+25)

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

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Q: Find the inverse Laplace Transform F(s)= 1/s^2-6s+10

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Q: The Fourier transform of f(t) = -1<t<0 is otherwise te O 1- jwe'-jw (w+j) 2 O 1+jwe'+jw (-w+j)2 O…

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