Find the Laplace Transform of the following functions

Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

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Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

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Q: Determine the Inverse Laplace Transform of F(s)=(13s + 8)/(s^2+10s+169). The answer is…

A: Ans:

Q: 5) f(t)= 2te' 2 Ans. F(s) =- (s –1)

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Q: Laplace transform of {(e^2-t)U(t-2)}

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: ASAP

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Q: L-1 (s-4) (s2-8s-9). A) Find B) Find the Laplace transform of (te-2tcost) (s-1) C) Find L-1…

A: Explanation of the answer is as follows

Q: f(x) = { ; ا 0 (01-) (...) mle -|

A: In this question, we have given a graph of f(x). To write the Fourier transform corresponding to the…

Q: 6. Evaluate * у" + 9у 3 0; у(0) — 2 , у'(0) %3D 9 2cos3t + 9sin3t 2cos9t + sin9t А. В. 2cos3t +…

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Q: Find the Laplace transform F(s) = L{f(t)} of each of the following functions. (i) f(t) = t^2 / 3 (…

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Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

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Q: Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha…

A: The solution is given as

Q: The Laplace transform of f (t) =t² U(t – 3) is: %3D F(s) = e* (-) F(s) = e=3* (; +) O This option O…

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Q: How do i find e(x), var(x) and e(x^3) using the moment generating function

A: Let us define the random variable X with moment generating function Mx(t).The moment generating…

Q: (a) y'=ty (3-y), (b) y'=y (3-ty), (c) y'= -y (3-ty), (d) y'=t-1-y², y(0) = yo y(0) = yo y(0) = yo…

A: We will be graphing the slope field of the given differential equation along with the interpretation…

Q: If F(s) = {f(t)} and n = 1, 2, 3, . . . , then L{t^f(t)} = (−1)n d^_F(s). dsn Evaluate the given…

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Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

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Q: brain

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Q: t+2 1. La transformada de Laplace de la función (2t – 3)e 3 es igual a: a) e 2 2 3 21 S-- 3, 2 2 3…

A: Given that  (2t-3)e^(t+2)/3 To find the Laplace transformation of given function

Q: 2. ts) Use the table of Laplace Transforms and 1st shifting theorem to find the Laplace transform of…

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Q: 2) Sketch the graph of the following s functions and find the Laplace transfo a) f1(t) = }4 – t, (o,…

A: Given,      (a)    f1(t)=t0≤t<24-t2≤t<40t≥4      (b)    f2(t)=00≤t<1t1≤t<21t≥2

Q: Sº 2 19. s³ +85² + 7s

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Q: d the Laplace transform F(s) of f(t) = 5tu(t – 4) F(s) = (5/s^2+10/s)e^(-5s)

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Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

Q: QUESTION 12 Symbolize the following argument using the variables p, q, and r. Then construct a…

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Q: Show that fi (x) = cos x , f2(x) = cos 2x are orthogonal on [-7,71]. %3D

A: This is a application of integration problem

Q: Orthogonalize {1, t, t²} in P₂ (R) with 1 (f, 9) = ["ª, f(x)g(x) dx. -1 Then normalize each one so…

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