Question 5.4 Determine the Laplace transform in the form of : F(s) = [ {f(t)} For the function of: 2 f(t) = sin² (wt) That is defined on: t=0 Enter your answer below: #F(5)= [ {sin ² (wit)} For what values of s exists the Laplace transform:

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: Question 2. Find the inverse Laplace transform: 5 1 s-6

A: The formulas of Laplace inverse which will be used to obtain the solution of the given function are:…

Q: Find the Laplace transform of the following: 1. f(t) = e-2t+5) sin³(8t) 3

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Q: F(z)=z tan:

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is…

A: It is known that: If Lft=Fs, then  Lftt=∫s∞Fudu. Lsinat=as2+a2

Q: 1. Find the Lapace Transform of the function f (x) = x. Show all your steps and be sure to use…

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Q: What is the inverse Laplace transform of the attached function, expressing the answer as f(t), using…

A: Step 1:Step 2:Step 3:Step 4:Step 5:

Q: Find the inverse Laplace transform L-1{F(s)} of the function F(s) = - 4 (8 – 4)³ NOTE: The ansuwer…

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Q: (b) Given f(t) = sinh(-4t)U(t – Jand g(t) = sinh(-4t) * U(t – ) where U(t – a) is the unit step…

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Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: e the inverse Laplace transform of

A: The given function is ss2+2s+2  to find the inverse Laplace Transform proceed as follows rewrite the…

Q: cos x if x 0 -

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Q: Find Laplace f(t) = t sin 2t + S transform of the function TU 2 cos 2t T 2

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Q: -t cos(3t

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

Q: Let F(s) be the Laplace transform of f(t) = cos (k(t – 7)] e" sin(37)dr, where k is a positive…

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Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: Find the inverse Laplace transform L-1{F(s)} of the function 6 F(s) = (s – 1) NOTE: The answer…

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Q: -t sin 4t -t sin 4t

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Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

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

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Q: How to solve the Laplace transform of the following equation: W(t)=cos(3t) - cos(7t) Please write…

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Q: 2. sin3 350at

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Q: 2. Determine the Laplace transform of the following functions. Here you may use common identities…

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Q5) Find the Fourier transform of: SCos(nt/t) for lel < x(t)=D .elsewhere) Sketch X(f) versus f.On…

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Q: Find the inverse Laplace transform L-¹{F(s)} of the function 2 F'(s) s² + 5s 6 NOTE: The answer…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: If f(t) is a function of t defined for all positive value of t, then the Laplace transform of the…

Q: 10t – 5 if 0 5 Find the Laplace transform, F(s) of the function f(t) F(s) = ,s > 0 Calculator

A: Laplace transform

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

A: We will find out the required value.

Q: Find the inverse Laplace transform L¹{F(s)} of the function F(s) = 6 - 3)³ NOTE: The answer should…

A: This is a question from the Laplace Transform.

Q: Find the Laplace transform of the following function: e3t + 3t2 – 4 cos(4t) + 10. Does such property…

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Q: Q2) Use the Laplace transform tables in lecture notes to find the Laplace transform of each function…

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Q: TT ㅠ (S+T) 2 6) L-¹ {

A: L-1πs+π2 To Do:We have to evaluate the inverse Laplace transform.

Q: Find the Laplace Transform of the following functions: 3. f(t) = = cos 4t-cos 2t t

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