Find β ∈ R that makes the transform of f (t) equal to

Q: f(t) = 2sin(bt)sinh(bt)

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Q: Find the Laplace Transform of the function f (t) = e-3t 1. A. F (s) = S-3 %3D F (s) %3D s+3 F (s) C.…

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Q: Use the Laplace transform to find H(s) (impulse response for y(t)-x(t)) in function of A, B, C and…

A: Consider the given equation. x˙=Ax+Bfty=Cx+Dft (1) The derivative function. the transformation can…

Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

A: If Fourier transform of f(x) is F(p), then we have to prove that the Fourier transform of f(x)…

Q: -<t <-/ Let f(t) be defined as f(t) = t -<t</ TU TC <t<n Extend f(t) periodically and find the…

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Q: si |x| < a 1. f(x) = [1 0 en otro caso ||

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Q: The Fourier transform of a continuous- time signal x(t) defined as x(t) = e at for t20 18 for t<0…

A: Given information : xt = e-at  ;  t≥00      ;  t&lt;0

Q: Apply the Convolution Theorem to determine the Laplace transform of: f(t)=f te* sin (t - t) d . 1 1…

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Q: Find the Fourier transform of f(x) given that f(x) = sgn(x)e™ax|, where a > 0 and sgn(x) is the…

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Q: Consider the function f[0,21] → R,ƒ(x) = x² a) write the discrete Fourier transform of F

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: ) Compute the Fourier transform of the function. (a) f(x) = h(x + 1) – 2h(x) + h(x - 1), where 1, if…

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Q: Q3// Find the Fourier transform of the function t<-a f(t) = - 1 - a <t < a a <t

A: The Fourier transform is an integral representation of a non-periodic function that is analogous to…

Q: The z-transform of a unit, u(n) function 1/(1-z1) b. c. 1/(1+z1) d. Σαz1 а.

A: We find Z transform of unit step function.

Q: The inverse Laplace Transform of the function f(t) is . Find the function f(t). O f(t)=0, if t4 O…

A: Given that F(s)=e-4ss2 To find the inverse transform, L-1F(s)=L-1e-4ss2

Q: f(t) = eat sin Bt.

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Q: Using the definition of the Laplace Transform, prove that if c1and c2 are constants and fi and f2…

A: The definition of Laplace Transform is given by

Q: The Laplace transform of f(t) is F(s) = || | (Type ar It is defined for for s>|. (Type an integer or…

A: From the graph of the function, ft=5,        0≤t≤10,        1&lt;t&lt;∞ We have to find the Laplace…

Q: -1,-ㅠ 7

A: Give function is f(x)=-1, -π&lt;x&lt;01,    0&lt;x&lt;π0,   x&gt;0 Let Fourier transform of f(x) is…

Q: b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO complex values. 2+s…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: find the Laplace transform of the given function; a and b are real numbers and n is a positive…

A: The given function  is

Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

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Q: The laplace transform of f(t). O Y(s) (s)x O F(s) O Z(s)

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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…

A: Here, gt=-e3jtft

Q: Calculate the inverse Laplace transform L{F} using the basic formulas and the linearity of the…

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Q: Find the Laplace transform of L[ ). (B) L ) - a (A) L[ =- 2. a s' +a' a a (C) LI쁘을]=- (D) L[)=--…

A: See the attachment

Q: determine the inverse Laplace transform of the function. L-1{R(s)}= L-1{7/(s+3)(s-3)}

A: Given function is,

Q: Q2- Find the Fourier Transform for f (t) =A cos o,t, where o, = 2n fo %3D

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Q: for |x|< a 0 for x<a Q4. Determine the Fourier transform of f(x) =

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Q: Obtain the z-transform of the following: x(n)=na" sin(an)u(n)

A: Let us start solving the problem step by step.... We need to find the z-transform of x(n)

Q: Laplace transform of t^n

A: We have to find the laplace transform of the function ft=tn. For this, we will find the laplace…

Q: The Laplace transform of * x(t) = u(t)= u(-2)8(t)

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Q: If F(s) is the complex Fourier transform of the function f (x), then prove that F{f (x – a)} = e-ias…

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Q: Calculate the inverse Laplace transform L¯{F} using the basic formulas and the linearity of the…

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Q: The Laplace transform of the function f(t) = e3+*(2t - e3t)² is: %3D

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Q: Find the Fourier series of the function S f(z) = x 0<I<a Įf(x) = <r < 2n %3D f(x) = %3D

A: Given that fx=fx=x0≤x≤πfx=ππ≤x≤2π The Fourier series is,…

Q: Expand the function f(x) into Fourier series: So T - I 0<r < -A<x < 0 f(z) =

A: In this question, we need to expand the given function into the Fourier series. For this first, we…

Q: 1. Consider the function [x-1, f(x) = 0, (1.1) Find the Fourier transform of f(x). if 0 ≤ x ≤ 1,…

A: For part 1.1, we are given the function f(x)=x-1,           if  0≤x≤10,                  elsewhere…

Q: Give a precise definition of Laplace transform of a function f(t). Use your definition to determine…

A: Consider the provided question, Definition of Laplace Transform of a function f(t): The Laplace…

Q: Find z - transform F(z) of the function-1 f(nT) = d"" -T z - a T z + a | Z - O خيار 2 3 T z – a -T z…

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Q: Find the Fourier transform of f (x) defined by |x| a f (x) = sin? ax ta and hence prove that x2 2

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Q: The Laplace transform of the function u: [0, ∞) → R [(t-2)² + (t-2) sin(5(t-2)), for t > 2, =…

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Q: The z-transform of a unit, u(n) function 1/(1-z-1) b. c. 1/(1+z1) d. Σαz1 а.

A: Z-tramsform of unit step function.

Q: Use the Convolution Theorem to find the inverse Laplace transform. (Evaluate the convolution that…

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Q: Find the Laplace Transform of the function f(t) = eat

A: We have to find the Laplace transform of the function f(t) = eat  we also know that  F(s)=ℒ{f(t)}

Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

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Q: In Exercises 88-91, the Laplace transform of a function f is the function Lf (s) of the variable s…

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Q: f(t) = e * tcos(-2t).

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Q: (a) Show that the Fourier transform of the function ga(x) := f(ax), where a > 0 is a constant, is…

A: the Fourier transform of f(ax) as a function of the Fourier transform of f(x) is known as change of…