a. By using unit-step function rewrite the following piecewise continuous function and find its Laplace transform. Note: You must show all steps of your work. F(C) = {* 2t² + t, _0

Q: 2- 1 2

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Q: Determine the inverse Laplace transform of the function below. 3s2 + 5s + 5 s(s2 + 4s + 5)

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Q: 2 5) L-1 (s – 2)³. s+2 6) L-1, ls² + 4s + 13)

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Q: Using Gamma function, Find the Laplace transform for √7

A: The solution is given as

Q: Get the function in algebraic form, state its representation in terms of the function unit step and…

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Q: Find the inverse Laplace transform L-{F(s)} of the given function. 20 F(s) s2 + 16 Your answer…

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Q: Determine the Inverse Laplace Transform as a function of t. Write your solutions and answer on the…

A: We have to find :L-14s2+6s+18

Q: Find the Fourier Cosine Transform of the function 0026.png 2 e2.x + be3* f(x)= if x>0 ,6x fb = 10 .…

A: Given function is f(x)=e2x+be3xe6x2 if x>0we have to find the fourier cosin trasformation of this…

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: 3s Find L-1 s2 + 2s + 5

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Q: Use the step function to calculate the transforms of the functions below. Evaluate at s = 1.

A: The transform of the function f(t) is represented as F(s), and it is defined as ∫0∞e-stf(t)dt, where…

Q: t3 - 3t2 + 5t – 8

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Q: Use the Convolution Theorem and this example to evaluate the given Laplace transform. Do not…

A: Solution:

Q: F(s) F(s) = = s²-1 1-2s s²+4s+5

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

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Q: Q1. Find the Fourier of the function in Fig.Q1 f(x) -a a x -a Fig.Q1

A: Q1.The function in Fig.Q1 is a sawtooth wave. The function can be defined as:f(x)=πa​xFourier Series…

Q: Find the inverse Laplace transform of the following function. Show the letails of your work. F(s) =…

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Q: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

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Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

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Q: F(s): = S s²-10s+29

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: Use (8), to evaluate the given inverse transform. (Write your answer as a function of t.) (t) dt =…

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: F(s) = 85²-45+12 s²+45

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Q: Use the Convolution Theorem and this example to evaluate the given Laplace transform. Do not…

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Q: 21 4 39. (s + V2jª 40. s2 - 2s - 3

A: 39. Given  F(s) = 21s + 24       = 3!.213!s - -24 Apply laplace inverse both sides, we get L-1Fs =…

Q: s²+6 (s²+1) (s²+4) Find the inverse laplace transform of using convolution theorem.

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Q: 2s2 – 3s + 5 - Find the inverse Laplace transform for s2 (s2 + 1)

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Q: For the function: g(x) = 1 - || , - 2 ≤ x ≤ 2 Find the fourier transform (0 otherwise)

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Q: The Laplace transform of the function f(t)= -4e-3t+5f4 is Select one: True False L {f(t)} =…

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Q: Find the inverse Transform F (6) = 6s s?+25 3. s²+25 S + 2

A: Note the result :