Find the Laplace transform of the function f(t)= (5e/t+4t)using the table of known as2+bs+c (s-7)(s2) transforms. Write your answer in the form What is the value of C?

Q: 3. a) Describe the transformations on y = 3* to sketch y=-2(3)+1

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Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: Determine the transform of the following functions using any methods. 2 3 + t2 3

A: Let ft=14t2-23t3+t32 Taking Laplace Transform both sides and using the fact that it is linear , we…

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (2-2)² (2-1)(z-0.5)

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Q: Use the properties to find Fourier transform. f(t) -10 -5 5 10 t (ms)

A: The given curve can be approximated to:

Q: # "S" Domain "t" Domain 1 4/5 (S+ 1)² /s 2 3 2/S + 4/s5- 1/(S +2) 1/ (S + 81) 5 (S+ 2) / (S² + 3)

A: The solution is given as

Q: The Fourier transform of some function f(x) is A(k) 1+46,6, where a is some real number whose…

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Q: s2 +8s 1. Find the inverse transforms of (s-1) (s-3)²

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Q: Find the Fourier transformation of the f(x) function given by the graph -T ㅠ ㅠ 14 π

A: The Fourier transform of a function f is given by

Q: H-w Find the inverse transforms L (Fis) Fcs) s*(s) Fis) ) z 35+7 525-3

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Q: EX: find the inverse of transform e-3s S2 -9

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Q: Find the transform of the function: g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32

Q: t3 - 3t2 + 5t – 8

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 6s+…

A: In this question we will find the inverse Laplace transformation.

Q: (c) Find the inverse Z-transform of Y(2) (32 – 1)(2+4)*

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Q: Find Fourier transformation of f(x) = (1-x) x<1

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Q: Find inverse Laplace by residue theory 2. XeS+(て-2x。) s- 25+5

A: Find the Laplace inverse transform by residue theory L-1x0s+x1-2x0s2-2s+5

Q: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

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Q: al/ Find the inverse trans formf (FB). 55+4 25-18 Fess=(

A: We will simplify the expression and apply inverse Laplace transform formula.

Q: Use Laplace Transform and Theorem Table

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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: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

Q: Use (8), to evaluate the given inverse transform. (Write your answer as a function of t.) (t) dt =…

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Q: w? + 21 F(w) w2 + 9

A: The objective is to determine the inverse function of F(w) F(ω)=ω2+21ω2+9         =ω2+9+12ω2+9…

Q: 72+54s + 8s2 – 9s³ 9. Find the following inverse Laplace transform: L1 s5 + 9s3

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Q: s²+6 (s²+1) (s²+4) Find the inverse laplace transform of using convolution theorem.

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Q: Q3/ find the inverse Z transform for the following 8z (2z-1)(4z - 1)

A: In this question the denominator is    (2z-1)(4z-1) =8z2 - 6z + 1   So the question can be done as…

Q: If F(p) is the complex Fourier transform of f(x), then complex Fourier transform of f(x-a) is…

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Q: 4.35 (Inverse Transforms) For each X(2), find the signal rn] for each valid ROC. 322 (a) X(2) = +…

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Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12&lt;z&lt;1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: 6S- 5 4s+7 2.

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Q: Find the inverse Fourier transform of 27 + 8(w). (a) 1+ 8(t) (b) + 8(t) (c) + 27 8(t) (d) 1+2 8(t)

A: Option (c) is correct.

Q: Find the inverse Transform F (6) = 6s s?+25 3. s²+25 S + 2

A: Note the result :