Find the Laplace Transform of the following functions: F(8)= F(s) = = F(s) = f(t) = 6e -6t +91² + 5t +3 f(+) - 6 sin(9) + 5t³ + 3e² 6t f(t) = Otet sin (Of)

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

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Q: Find Laplace transform of the function from definition: f(t)=sin(2t)

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Q: Q8 Find the Fourier transforms of: sin* - pn Sx< pn f(x) otherwise

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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: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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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: a) Find the Fourier transform of 4 f(t) = e tu(t) + -tu(t) + ²9.

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Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

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Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: sinh ot + cos ot

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Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 5s + 25 F(s) = s2 + 10s + 50…

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Q: f(t): = tan(-7t) cos(-7t) + sin (−8t) e -3t cosh (-4t), 1 + 5 7 +=t5 + sinh (6t)

A: The given problem is to find the Laplace transform of the given function f(t).

Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx&gt;0e2xx&lt;0 To Do: Find the Fourier Transform of the given function.

Q: Find Laplace f(t) = t sin 2t + S transform of the function TU 2 cos 2t T 2

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

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Q: Prove that Fourier cosine transform of f(x) = cos(x), 0<x<3 is: 1/27 (³ sin 3(p-1), sin 3(p+1) p-1 +…

A: Introduction: A Fourier remodel (FT) is a mathematical remodel that decomposes features relying on…

Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

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Q: x(t)=sin(t-3T)

A: Z transform

Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

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Q: Use the table of Laplace transforms to find the Laplace transform of f(t) = 3t° – 6 cosh(11t) %3D…

A: The given function is f(t)=3t6-6cosh11t       Formula Used-   ℒtn=n!sn+1 ℒcosh at=ss2-a2

Q: Find the Fourier transform of (x) (13x if|x] 1

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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: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: Find the convolution of f(t) = 3t and g(t) = sin (21). You can either calculate f * g directly, or…

A: In the given problem we have to find the convolution of two function f(t) and g(t) using the…

Q: Determine the Fourier transform of the function f(t) = e-cltl.

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Q: Inverse Laplace transform of s2+9 is given by O cosh(3t) O cos(9t) O cos(3t) O sin(3t)

A: Find the inverse Laplace transform of ss2+9 we know that L-1ss2+a2=cosat

Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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

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