-t 82 Find the L.T of f(t) = 36² ² + 4 sin 6t -t ~Y Given :- f(t) = 3e-² + usinst - + 4 sinbt ] 1:5 (5) = [[7(E)] = L [36² +

Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: Part II. Find the Inverse Laplace Transform of the following: 8s -4s+12 1. F(s) s3 +4s

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Q: L-1{ 1 (s2+1)(s2+4s+8)

A:

Q: Q1/ Find the laplace transform for the following 1 - e-6t.sin(10t-8)

A: By using properties of Laplace transform we solve the given problem as follows :

Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be−³x + ce-²x)² if x>0 if a = 2, b…

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Q: L{7te-5t cosh(3t)+sin(√6t) — ²t³ + e=¹} -

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Q: Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

A:

Q: dt (te-¹u (t))?

A:

Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

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Q: V(t) A T/4 -T/4

A:

Q: What would be the laplace transform of a function of f or L{f(t)}?

A: Given: What would be the Laplace transform of a function of f or L{f(t)}?

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

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Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

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Q: Find Laplace transform for the function f(t) = 3 sin 4t .

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Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: Find Laplace transform of the given function

A: Concept Used: Ltkft=-1kdkLftdsk also, Lsinat=as2+a2Le-btsinat=as+b2+a2

Q: Determine the transform of the following functions using any methods . t^2 sinh 3t

A: According to the definition, the transform of the function f(t),  is given by L[f(t)]=∫0∞e-stf(t)dt,…

Q: Determine the magnitude of the Fourier transform of the function 7.5e-3t u(t) for a frequency of 3…

A: We have to Determine the magnitude of the Fourier transform of the function 7.5e^(3t )u(t) for a…

Q: Find the Fourier transform $\tilde{f}(p)$ of the function 4x²e-5¹ for x ≥ 0 for x < 0. f(x) = {…

A: fx=4x2e-5xfor x≥00for x&lt;0

Q: Find the la place transform of the following. Simplify your answer f(+) = sin3t Sinht

A:

Q: Q1. a) Derive the Laplace transform of 3e4t from first principles (i.e. without using the list of…

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

A:

Q: Determine the graph and the Fourier coefficients of the following function: that describe the…

A: Determine the Fourier coefficient of f  f(x)= 0 , -π&lt;=x&lt;=0 .

Q: f(t) =sin 4x/x. Find the Laplace transform

A:

Q: Find the Laplace transform of the f(t) = 8t° e2t – 3t cos(t) + 10. Explain the solution steps in…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Find the transform of the equation x² + xy + y² = 1 when the…

A: Let us consider the equation to transform the coordinate use  x=Xcosθ-Ysinθy=Xsinθ+Ycosθ

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be-³x + ce-²x)² if x > 0 if a = 4,…

A:

Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,

Q: sinudu

A:

Q: f(t) = -* sin4t cos 4t CS Scanned with CamScanner

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Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem

Q: Find the Fourier transform of f(t) = [Aeat ]u(t) %3D and draw the amplitude and phase spectrum

A: