The Laplace transform of f (t) = e-3t cos(2t)+2te3t is: 1 F(s) = F(s) = %3D s2-4s+53 s2-6s+9 s2 +4s+4 s2-6s+34 O This option This option 21 7 1. F(s): F(s) = %3D s2+65+13 s2-6s+9 s2-4s+53 s+6s+9

Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t² is: 4 F(s): s²+4 s+3 This option F(S) =D ++을…

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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: Find the inverse transform of the given functions: 1. F(s) = 352+5s+5 (s3+8s2+19s+12)(s³) 5s+3 6s 2.…

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

A: Part (i): Given,

Q: Find the Fourier Cosine Transform of the function ƒ(x) = (ae-4x + be−³x + ce-²x)² if x>0 if a = 2, b…

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Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

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

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

Q: 1- Determine the Inverse Laplace transform for -2s²-9s +11 1 (S-2) (s + 3) (s + 1) O Option 1 L-1…

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

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Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 2s2+10s F(s) (s + 1) s2-2s+5

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Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

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

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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: 3.) +248 3s-16 s²-24s+69

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Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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Q: Find the inverse Laplace transform of 42s + 34 (s – 3)(s² + 2s + 5)

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Q: (s-2) F(s) = [+ %3D (s-2)2 + 16

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Q: H(s) = 1 s³ +bs² (use integral rule)

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Q: 3s-16 3.) s2-24s+69

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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(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

Q: Find the Inverse Laplace Transform. Y (s) (10s + 8) తాతి s3

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Q: 12 + 2s – 5s2 s4 A. f(t) = 12t3 + 2t2 - 5t C. f(t) = 2t3 + t2-5t B. f(t) = 2t* + t3 - 5t2 D. f(t) =…

A: We have to find the Laplace transform of 12+2s-5s2s4

Q: Find the inverse transform of the given functions: 35+5s+5 1. F(s) = (s3+852+195+12)(s³)

A: Factor the denominator of 3s2+5s+5(s3+8s2+19s+12)s3. 3s2+5s+5(s3+8s2+19s+12)s3=3s2+5s+5s+1s+3s+4s3…

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: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)

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Q: 2.) 98-8 s² +248

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Q: s+2 Find the inverse transform: F(s) s2-6s+8 А. Зе 4t — 2е2t C. e4t – 3e2t В. 2е4t — Зе2t D. e4t +…

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

A: Note the result :

Q: The Laplace transform of f (t) = 5cos (7t) – 7e2t + 2t³ is: %3D

A: Given- ft=5cos7t-7e2t+2t3 To Find- The laplace transform of the above expression.

Q: ansform of the follow 1

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