Solve for the inverse laplace transform of the following functions a) R (s) = b) W (s) c) X(s) = s3-2s²+5s-9 s² (s+3)(s+1) 3s+10 s(s-8)(s-6)2 216 s4+5s3+15s²+45s+54

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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Q: Find the Inverse Laplace transform of the following: (3s+2) / (s2+25) (5s2+3) / (s2+4)2

A: Part (i): Given,

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: Obtain the inverse Laplace transforms of the following function 5(s+2) F(s) = (2+2s+1) 10 5texp…

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Q: Find the inuerse Transform of the follawing: FG) + 4 3-3 - S-8 35?+12

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: s2-2s -n: (s-+4)(s-+4s+5)

A: Given: s2-2ss2+4s2+4s+5

Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: (a) A(s) = 5s-44 (s-6)²(s+1) -3s

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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: 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: 2 L-1(2S+52 + (s-3)s} (s-3)2 5-

A: We have to find the given inverse Laplace transformation   L-12s+5(s-3)2+2(s-3)5 = ?  RESULTS : -…

Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

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

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Q: 2-5s (s-6)(s2 +16)

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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

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Q: Find the inverse Laplace transform of - 3s? + 6s – 4 (s2 - 2s + 2)2

A: The solution is given as

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: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

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

A: Use the Laplace table.

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

A: Note the result :

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…