1. Calculate the Laplace transform of the function when 0

Q: Find the Laplace transform of each function: y = S(x)

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Q: Find the inverse Laplace transform of the following function: 2s² +5s-6 3 2 s³ -3s² -13s +15 S

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Q: Get the function in algebraic form, state its representation in terms of the function unit step and…

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Q: Find the inverse Laplace transform of F(s) f(t) = | = -2s + 22 s² - 2s - 24

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Q: - Find the Laplace transform of each given expression ( (1) 3 cos (2 t) e-2t + (t - 2)²

A: Since you have posted multiple questions, we will answer the first question for you. If you want any…

Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: t3 - 3t2 + 5t – 8

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Q: Solve for the laplace transform x(t) = (t+3) sin(t-6)

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Q: Find the Laplace transform of f(t) = te-5t.

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Q: B. Find the inverse Z-transform of X(z) Z-1

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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: (3 f(t) = - 2<t< 2 otherwise %3D

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: 5. Find the Laplace transform of the function: f(t) = 6e-5t + e³t + 51³-9 Simplify your answer to a…

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Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: A function f(t) is defined by if 0 5 (a) Sketch the graph of f(t). (ь) Find the Laplace transform…

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Q: (b) f (x) = {sent, .if 0<t<n l0, if

A: We find Laplace transform of given function

Q: (2,0 st 3

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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: Solve the fourier transform of the following functions: 2. f(x) = {x if 0 < x < a otherwise

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Q: 3. Find the Laplace transform of the piecewise function 0St 3

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Q: 4) Find the Laplace Transform of the following functions: f(1) = Lu(t – n) n=0 f (t) = (-1)t/a] *]…

A: a) Given function is , ft=∑n=0∞ut-n     =ut-0+ut-1+ut-2+···· To find : Laplace transform of ft…