Assignment 2 s2+3 For the control system G(s)3D s(s²+7s+10) i- Find the total no. of poles ii- Find the total no. of zeros iii- Sketch the position of pole and zero in s-plane. iv- Find the inverse Laplace transform of G(s)

Q: Find the Laplace transforms of the following functions: 3 -4 (s + 3)² + 16 4s2 – 4s + 2 (s – 1)3 13…

A: Since you have posted multiparts questions and we can answer 3 subparts. So answered 1, 2 and 3.

Q: sform of s+2 s° (s+1)(=

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Q: 8. с. (s-4)3

A: Use standard results of inverse Laplace transform to solve this problem.

Q: Evaluate: L-1 [2s-9) ls²+2)

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: x2 , Ix1 a = find Fourier transform of f(x)=

A: To determine: The Fourier transformation of  f(x) = x2 ,     x<a 0 ,       x>a

Q: Find the Fourier transform of each function. In each case, a is a positive real constant. Answer:…

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Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

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Q: FindiL [+ sin 5+] IDS a1) s (s*+25) C. S?-25 di) (5?+ 25)2

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Q: Determine the inverse Laplace transform of the function below. 2s - 54 5s² - 70s+325

A: The given Laplace function is .To find the inverse Laplace transform of the function.

Q: Figure 1.5a shows/v+w. Mark the points v+w and v+w and v+w. Restricted by 0 ≤ c≤ 1 and 0 ≤ d ≤ 1,…

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Q: 1 F(@) =: 2 - w?+j3w

A: It is known that .  Use the formula below to compute the inverse Fourier transform.

Q: Apply the properties of Laplace transform including the linearity property, shifting property, and…

A: # we are entitled to solve one question at a time, please resubmit the other if you wish to get it…

Q: Find L. T. for each of the following functions: (t-4)²u(t-4), (t-3)e-2(t-3) sin 4(t-3)u(t-3).

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Q: Determine the Laplace Transform of the given function -5s - 36 9. L-. |(s+2)(s² +9),

A: Given function Laplace transform

Q: b) Find the inverse Laplace transform of the following function by using convolution theorem 45s…

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Q: { x2, Ix1 a ||

A: Given function is f(x)=x2     x<a0      x>a let the Fourier transform of f(x) is F(s) So we…

Q: TL (s+ π)²· 2 L-¹ {

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Q: 1 F(@) = %3D 2 - w2+j3w

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Q: ze Find the Resi due of at its pole. (z-1)' z e (or) Find the poles and resi dues at each pole:…

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Q: XP+2ap +2a') ple 23: Find the inverse Fourier sine transform f(x) of F, (P- ap

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Q: 1 t3e0.035t 2

A: Use the following formulae, to obtain the solution. Laft=aLftLtkft=-1kdkdskLftLeat=1s-addxxn=nxn-1…

Q: Determine the inverse Laplace transform of the function below. 11 (2s+3)4 Click here to view the…

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Q: y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

A: Given function is y= 3sinh(3t)

Q: 2 Determine the inverse transforms of the following. S- 5 (b) (s – 3)(s – 4) s2 – 3s – 4 s2 + 3s - 7…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…