Question 2. Express the function f(t) = 0 6-t2 0 in terms of unit step functions and hence determine F(s), the Laplace transform of f(t), in the form F(s) t < 0 0≤t<6 t≥ 6 A B C = + + -e S D -e-ws + 82 E 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: :-ws + ∙e ws

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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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: 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 of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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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: Find te Inverre laplace transform of F(s) 48 2. |

A: Inverse Laplace Transform Definition: If Fs be the Laplace transform of a function ft, i.e., if…

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Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 5s + 25 F(s) = s2 + 10s + 50…

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Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

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Q: a. Determine the formula for the Laplace transform. et sin 5t-t³ + e 2t) = (Type an expression using…

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Q: What is the Laplace transform of the function: F (1) = cosh 4t where cosh 4t = A $2– 16 B s2– 16 s2–…

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Q: Find the Fourier Cosine Transform of the function -png f(x) = (ae-4x + be-3* + ce-2*) if x>0 -4х +…

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Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = -e3it f(t) may be…

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

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Q: Part I. Find the Laplace Transform of the following: t-e-3t 1. f(t)

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Q: Determine the Fourier transform of the function f(t) = e-cltl.

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Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

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

A: This question is about Laplace transformation.

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

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Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the functic 5 3s F(s) = s2 + 16 s2 + 49 } 5…

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Q: - 1 (s + a)5 as e F(s)

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

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