Find the finite cosine transform of 1 – where 0

Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: Find the Laplace transform of tan(t). Show your full steps Solution.

A: Laplace transform

Q: What is the Laplace transform of 2?

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

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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: 3. What is the Laplace transform of 2sin t + 2cos t ?

A: Given x(t)=2sin2t+2cos2t Now we will find the Laplace transform as shown below

Q: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

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Q: Find the Fourier transform of (a) f (x) = sin (x²), (b) f (x) = cos (x2)

A: 4. Given that,fx=sinx2andfx=cosx2The Fourier transform of the above functions isdetermined as shown…

Q: find the Laplace transform of {t^2cost}

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Q: Find Fourier transform for f(t)=t^3-2t

A: Given function f(t)=t3-2t. To find Fourier transform of f(t). By property of Fourier transform,…

Q: Use Laplace transform technique to solve , y"-y'-6y= 0, Given y(0) = 1 and y'(0) = -1

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Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

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Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: 5) Evaluate te " cos 3tdt using Laplace Transform! -4t

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Q: Find the inverse Laplace transform of -6s e F(s) = s2 + 2s – 3 - - (Use for u.(t) .)

A: The given expression is Fs=e-6ss2+2s-3. We have to find the inverse Laplace transform of function…

Q: Find the Laplace transform of t cosh 2t

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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: What is the Fourier transform of the following e-j10ntx(t)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-jktf(t)dt,…

Q: Using Laplace transform, solve dy a + 6y = 3sin(2t) with y(0) = 1 and determine y(1) in 4 decimal…

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Q: Solve the Laplace transform of: 4 sinh 3t + 3 cosh 3t

A: Introduction: The Laplace transformation of sinh(at) and cosh(at) is given by,…

Q: Determine the Laplace Transform of est cos 5t .

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Q: Compute the Fourier transform of the following function: f (x, y) = e-(1x-y|+|x+y[)<+

A: Calculate Fourier transform: Fu,v=∫y=-∞∞∫x=-∞∞fx,ye-2πjux+vydxdy…

Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: Determine the Fourier transform of e cl, with ca positive number.

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Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: Find the Fourier transform for x[t] = at*u[t], |a| &lt; 1

A: Given function is,

Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: determine the inverse Laplace transform of F.

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Q: 2 What is the Laplace transform of 2cos t?

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Q: Find the Laplace transform of (cosht + 1)2.

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Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: -2 20(x+2y?

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Q: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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Q: Find the finite sine transform of f (x) if f (x) = x'in (0, n).

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Q: Find the finite cosine transform of f (x) if ƒ (x) = -x+ in (0, t).

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Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

Q: Starting from the definition of the Laplace transform, calculate: a) L{(cosh(2t)}

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Q: 1.) Give the Fourier transform of the function f. Sx ha x = [0, 1] f(x) = 0 otherwise.

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Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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Q: find the Laplace transform of (sinx - cosx)² O (s² - 2s + 4)/s(s+ 4) (s² + 2s + 4)/s (s² - 4) O (s²…

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Q: f (x) =| , where 0<x<T

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Q: Use Laplace transform to solve the ODE. y"- 4y +3y - Bsinst, y(0)= 0, y'(0)-3

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Q: 4. Use the dilation principle to find the Laplace transform of 1- cos 5t cos t given L{- In g² +1 t

A: We want to find Laplace transform of 1 - cos5tt Given L1 - costt = 12lns2s2+1

Q: 3s-2 F (s) 2s2 –6s-2

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Q: Use Laplace transform technique to solve y+2y +2y=et, y(0) = - 3, y'(0) = - 3

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