If I have a piecewise function that I want to write an f(t) for then take the laplace transform;  f(t) = 0 t < 1 e^t-1 1 < t < 2 0 t > 2   How can I sketch this? And how do I find the Laplace transform ? And what does it mean when e is raised to t-1, is this a shift?

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 4 F(s) = s2 + 4 Your answer…

A: Given,           Fs=4s2+4

Q: Ex. Find the Laplace transform for the functions 1-f (t) = sin't %3D 2-f (t) =t°e"

A: We have to use Laplace standard transformations.

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

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Q: A function f(t) is defined by f(t) = 4 0<t <3 = 2t + 1 3 ≤t. Sketch the graph of the function and…

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Q: TRUE OR FALSE 1. If the denominator of a Laplace transform has degree 4, you should expect to find…

A: The solution are next step is

Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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Q: Find the Laplace transform of t²e-⁹t

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Q: Compute the Laplace transform. Your answer should be a function of the variables: L2+ u₂(t)e-³¹…

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Q: f (t)%3 3e ' cosh ( In 2r)

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Q: Find the inverse Laplace transform of the given function by use of a table or properties. F(s

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Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Find the Laplace transform of f(t) = sin² 5t a. 50/($³+125s) 25/(s³+ 100s) b. C. 25/(s³ + 125s) d.…

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Q: Q3 Find Laplace transform of the function f(1) =t sin(@t)

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Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: Q4. Apply Linearity property of Laplace Transform to find the Laplace Transform of x(t) = 5e-tu(-t)…

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Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

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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: Evaluate L{t sin kt} (Use the Derivatives of Transform)

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Q: Find the Laplace transform of f (x) = 3 sin 3x – 2e-2x

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

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Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

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

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Q: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

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Q: For the Laplace transform, F (s) = +, find the time function (i.e. the inverse Laplace transform)…

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Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…