Question 2. Express the function f(t) = in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form 0 t < 0 3+ t² 0≤ t < 2 0 t> 2 A B C F(s) = + + S 83 83 Enter the values of A, B, C, D, E and w in the boxes below. Enter A: Enter B: Enter C: Enter D: Enter E: Enter w: 000000 Ws + D 82 -ws + E S e -WS

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: a. Find the inverse transform of F(s). b. Sketch the graph of f(t). c. What is f(1.5) d. What is…

A: We have given F(s) = 2s-3e-ss2+4e-2ss2. If L{f(t)} = F(s) then L-1{e-asF(s)} = u(t - a)f(t - a),…

Q: 1 F(s) = (8 – 1)2 – 2 1 F(s) (s – 1)(s +1)²´ 3s +1 F(s) = (s² -- 2s)²*

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Q: 3- What is the Laplace transform of each of the functions shown in Fig. 1. f(1) 4 f(1) A с K b 0 a…

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Q: A. Find the Laplace transform of each given expression (5 (2) i++ t sin(3t) + y, where x = z(t), a…

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Q: 1 Find the inverse transform: F(s) s2-4s+8 1 A. e2t sin 2t C.e2t cos 2t B. e2t sin 2t D. e2t cos 2t

A: The solution of the problem is given in the next step.

Q: a) Find the Laplace Transform F(s) of the function. f(t) = (3-e²+ + 56+) sin (7+) 2+

A: The Laplace transform is a mathematical technique used to solve linear ordinary differential…

Q: (2 + + +9 4²5 ) (7 + 27 ) = (+) 5 7 Find Laplace transform of the function.

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Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: 3. Find the inverse Laplace transform of F(s) = 180+18,²+354

A: Applying this to each term:  So, the inverse Laplace transform of F(s) is: f(t)=4t6​+43​t4+23​t2…

Q: 4s – 12 52 - 6s + 13

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A: Laplace transferom of the pice-wise function

Q: Apply the definition of the Laplace transform to find the transform of the function below. Q -10 8 6…

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Q: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform -5s e (6³³) a.…

A: The following formula can be used to determine the inverse Laplace transform of…

Q: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)

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Q: Given that the Laplace transform of f(t) is 8-3 s² +2s-2' F(s) = then the Laplace transform of f(t)e…

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Q: Find the inverse Laplace transform of f(t) F(s) = = help (formulas) (Notation: write u(t-c) for the…

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

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Q: -12 The inverse Laplace transform of (s+7)² is btet, where b, c and w are constants and t represents…

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Q: Express the function 0 { f(t) = = in terms of unit step functions and hence determine F(s), the…

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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 Fourier Transform of the following function f(t): f(t) 1 1.

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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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