You have a Laplace transform of the form Y (s) = -DG+2) + F6+3) e -e-2s s²(s+3) S 1 (s-1)(s+2) To find y(t), would you include e-2s when you do partial fractions?

Q: Find the transform of the function below. j(t) = 3sinh(2t)+3sin(2t) A 6/(s^2 - 4) + 6/(s^2 - 4) в…

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Q: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: Find z-transfrm for (n-1) X(n) u(n-1) x (n) 5nucn) - 2 n (o.3) uci) 2)

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Q: a- Obtain the inverse z-transform of the function 100z F(z)= (2+1)(x+2)(2+3) using partial fraction…

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Q: 5s + 7 (s + 2)2 A. f(t) = e-2t (5+ 7t) C. f (t) = e-2* (5 – 7t) B. f(t) = e-2t (5 + 3t) D. f(t) =…

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Q: 2. (a) For n 2 0 write out the fint four terms of the sequence z(n) 3(-3)" and then use the…

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Q: B/Fnd Z transform z(n) = " (n) – u(n-5))

A: Given equation: x(n)=15nun-un-5

Q: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: c) By using Convolution Theorem, find the inverse transform of UTM F(s) = (s – 1)(s² + 1)*

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Q: 4s = s²-2s+5 _F(s) =

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Q: 10(2s+5) 6. Find the inverse Laplace transform of I(s) and find s2+3s+2 I(s) when s= 0.1 sec.

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Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace…

Q: 2. f(t) = -7(e^3t)[sinh(2t)] A. -14 / (s^2 – 6s + 5) B. (-7s + 21) / (s^2 – 6s + 5) C. -14 / (s^2 -…

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Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

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Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: F(s) = (5 + 3 s+3e = (F(x بر 3² (3+2) 38 +4 F(s) = 2 + 6s + 13)

A: Given: Fs=s+3e-3ss2s+2 We know, L-11s=1,…

Q: 5) Find the Inverse Transform of the Partial Fraction: 5s C-¹ ( 258,+12) L-1 s

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

A: We need to use Laplace transform to solve this differential equation.

Q: The graph f(x)=x^2 was transformred to create k(x)=f(x-5)+1.  Which of the following represents…

A: Plot a table for the values of the x and f(x).xf(x)-24-11001124Draw the graph of x vs f(x).

Q: Find the transform of the function below. g(t) = (t^2)*sin(2t) A) (16s^2-12) / (s^2+4)^3 B…

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Q: Suppose solving an equation by Laplace transform results in 4 (s+ 18) Y (s) : %3D (s+9)² * Evaluate…

A: Laplace transform of the function y(t) is defined as Y(s)=∫0∞e-sty(t)dt, where s>0. Since the…

Q: Q2\ answer the following: z2+2z+1 A\ find inverse z transform by partial fractions x(z)- z?+z+

A: Solution

Q: (a) L-1 .(s+2)²(s-2). 1 (b) L- (s+1)(s²+1).

A: Given The given inverse Laplace transforms are a L-1ss+22s-2 b L-11s+1s2+1 Apply formula…