Q2: Find Fourier Transform (FT) of the function f(t) = e-bltl and plot this function in time and Frequency Domain.

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 Fourier cosine transform of and deduce that - bx -e cos pr di - kog log P+ b? p + a e 1

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Q: find the inverse laplace transform

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Q: 4 Find the Fourier Transform of f(x) where S(x) =e*

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Q: -25 -35

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Q: Calculate the Fourier transform of f(x)= e if x>0 and f(x)30 otherwise

A: To find - Calculate the Fourier transform of fx = e-axif x > 00otherwise

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: Write the function in terms of the unit step function and find the Laplace transform of the…

A: In this question, we write the f(t) in unit step form and then using property we find the Laplace…

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

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Q: Find the Laplace transform of this function by expressing it as a combination of the functions you…

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

Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: Find the Inverse Fourier transform of Tre-la.

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Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t&lt;0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: Determine the Laplace transform of the function seconds

A: We have to solve given problem:

Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: Find the cosine transform of a function of x which is unity for 0 < x < a and zero sin ap , for x2…

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Q: Find the inverse Laplace transform of the functions.

A: We find Laplace inverse transform of given function

Q: Find the inverse laplace transform of the function

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Q: Find the sine Fourier transform for f (x) = sin æ, x < 0,

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Q: (1-1z1, 1리1

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Q: Use the definition to find the Laplace transform of functions to follow

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Q: Find the transform, indicating the method used and showing the details u(t-2T) sint

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Q: Solve for the laplace transformarion of the given function

A: the Laplace transform, named after its inventor Pierre-Simon Laplace, is an integral transform that…

Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: Find the inverse laplace transform of the function.

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Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: 1- -の+9

A: we can use following concepts (1) to (4) , to solve given problem:

Q: Find the Inverse Laplace Transform.

A: The given function is Fs=10s-48s-53. Let 10s-48s-53=As-5+Bs-52+Cs-53. Remove the fraction and obtain…

Q: Find the cosine transform of a function of x which is unity for 0 <x < a and zero sin ap, for x 2 a.…

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Q: Find the inverse laplace transform

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Q: Compute the Fourier transform of the Heaviside function

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Q: Find the Inverse Fourier transform of Te-lw||

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Q: Express the function below using window and step functions and compute its Laplace transform. Ag(t)…

A: From the given graph of function g(t), it can be seen that   t&lt;5π14 and also g(t)=0. When t≥5π14,…

Q: 1) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: FIND THE INVERSE LAPLACE TRANSFORM

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Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: Find f(x) if its Sine Transform is Hence find F, ().

A: Given that f(x)=e-axx The fourier sine transform is  Fs=∫0∞f(x)sinsxdx=∫0∞e-axxsinsxdx…

Q: Find the Fourier transform of x(t) shown below using differentiation property * x(t) -1 2)

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Q: find

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Q: Find Fourier Transform for the function:f (t) = sint - T <t< %3D

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Q: How do you write the Laplace transform of this translated Heaviside function?

A: Given - ft = 0x &lt; π1x ≥ π To find - Write the Laplace transform of given translated Heaviside…

Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

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Q: Find the Fourier-sine transform of ƒ(x) = |x − 3| − |x − 2| + 1. -

A: We will first compute the complete Fourier transform of f(x) then using Euler's formula and…

Q: Solve for the Laplace transform of the function 8cos(at) and then solve for the value of a. Show…

A: Topic:- Laplace transform

Q: >= Find Fourier cosine transform of f(x) = 1 -1 0<x< 1/1/0 <x<n

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Q: Sketch for the Fourier transform of f(x)

A: Given function is  fx=−1,   −π&lt;x&lt;01,          0&lt;x&lt;π0,             x&gt;π To sketch the…