7.2.12 00 Let f(t) be a function on [0, a0). The Laplace transfom of f is the function F defined by the integral F(s) = est)dt. Use this definition to determine the Laplace transform of the St 0

Q: Find the Laplace transform of the function

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: Find the laplace transform of (b) L-- [tan-" )]

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Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

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Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

Q: Look for the inverse Laplace transform L^ -1 {s-2/(s^2+2s+26}

A: Given expression is L−1s−2s2+2s+26 We have to find the inverse Laplace transform. First of all, we…

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: Laplace transform of f(t) = e(4t-8)cos3(8t)

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Q: sinh ot + cos ot

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Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: 4s = s²-2s+5 _F(s) =

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Q: L[sin(3t - 4n)]

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Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: what is the discrete fourier transform of y = 001010

A: Introduction: Discrete Fourier transformation is applied when the signal is discrete and finite. For…

Q: t'e5t - e'cos v7t

A: Laplace Transform: The Laplace transform of is a function of a new variable s given by First…

Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: Find the Laplace transforms of the functions. f(t) = Cos^2(2t)

A: Let ft=cos22tTo find: Laplace transform of the function ft.

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: Find Laplace transform f(t) = 1- cost 1-cos3t f(t) = te sin at -3t

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Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of…

Q: Find the inverse Laplace transform. F(s) = 1/s - 2/s^5/2

A: This question related to inverse laplace transform.

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…

Q: Question 2: Calculate the inverse Laplace transform of the function F(s) = (s + 1)/(s^2 + 4s + 5).

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Q: Find the inverse Laplace transform of the function F(s)=s + 2/(s^2-8s+25)

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