Find the laplace transform of f (t) = 3t3 + 4e2t – 2 sin 3t O F (s) 45 65-36s4 +185 48s2 +162s-324 s7–256 195-12s4 O F (s) 4s 18 148s*+18s 36s+162s+ 324 sT -2s6 +9s -18s 4s 6s 148s 36s-12s +162s 324 O F (s) s7-2s6 +9s-18s* O F (s) 4s 6s 48s +18s-162s+36s 324 s7-2s6 19s18s O F (s) 4s_6s° 148s +18s 36s +162s 324 s7-2s6 +9s-18s* F (s) = 4s_6s° 136s +18s 148s° + 162s–324 57 256 1 9s- 18s F (s) 4s_6s-18s +48s 36s +162s 324 s7-2s6 +9s-18s 4 6s° +18s +48s 36s 162s 324 O F (s) = s7-2s6 +9s-18s

Q: lo s²+5s +4 fs) = (క-GS+!ls-6) (s®)

A: To solve given question first we write the partial fraction decomposition of given  question and…

Q: Find the laplace transform of f (t) = te2t sin 2t %3D

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Q: Laplace Transform of f(t) = eªt sin(wt) о O (s-a)²+w² ພ (s-a)²+w² S (s-a)²+w² W (s-a)+w s-a (s-a)+w

A: Given function isWe have to find the Laplace transform of given function .We know thati) If , then…

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

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Q: Identify the inverse Laplace transform of the function Multiple Choice O(e+te+e-4¹) u(t) O O (½ e²¹…

A: 1)L-11s+a=e-at2) L-1F(s+a)=e-at.L-1F(s)

Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

Q: The Laplace transform of f(t) = t²est then the Laplace transform of f(t) is: None of them 2/(s^3…

A: Given functionFormula

Q: 4s²-5s+6 (s+1)(s²+4) 2- Inverse Laplace transform for a) f(t) = 3et+ cos2t - 3 sin 2t b) f(t) = et +…

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Q: 1 1 s? +4 s -4 (s+3)

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Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

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Q: f(t) = 1²e-³1 cos 4t F(s) = F (s) = O O F (S) = F (s) = F (s) = 2s³ + 16s² 46s - 234 (s² + 6s+25)³…

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Q: Example F Taking the z-transform of each term of the second-order equation Yk+2 +a1Yk+1+a2Yk = Rk…

A: Let us consider the second order inhomogeneous difference equation  yk+2+a1yk+1+a2yk=Rk…

Q: Find the Laplace transform for -4 f(t) = e'sin2t + e¯'cost 2 s + 1 2 s + 1 + s + 2s + 5 s - 2s + 2 2…

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Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: z'+3z Find the inverse Z- transform of (z-1)°(z² +1)

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Q: What is the Laplace Transform of f(t)=Dv((1-cos(8t))/2)? O s/(s^2+16) O 4/(s^2+16) O 4/(s^2-16)…

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Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

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

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Q: Solve for the inverse Laplace Transform of 8 F(s) 53 - 3s2 – 4s 8 f(t) = – 2t + 2 a. + te4t Ob. 8…

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Q: What is the Laplace transform of f (t) = e2" (sin 2t – 1)? 16s 16 s6s2 +16s12 6s 16 s 6s2+16s 16 16s…

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Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

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Q: find the Inverse Laplace Transform 5² +95 + 6 s(s+ 1)(s + 3)

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

Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

A:

Q: t+2 1. La transformada de Laplace de la función (2t – 3)e 3 es igual a: a) e 2 2 3 21 S-- 3, 2 2 3…

A: Given that  (2t-3)e^(t+2)/3 To find the Laplace transformation of given function

Q: Obtain the inverse Fourier transform of sen(4(w+2)) (w+2)(3-((w+2)) F(w) =

A: The given function is Simplify the expressions using partial fractionsMultiply both sides of the…

Q: What is the inverse Laplace transform of 4s/(s^2+16) - 36/(s^2+16)? 4s 36 s²+16 s²+16 4cos(4t) -…

A: Here we have to find the inverse Laplace transform of  4ss2+16-36s2+16

Q: Determine the inverse Z-transform of X(z) Select one: akt xk = = (-2j) sin( 2 (2a)k-1 sin (47) 2 xk…

A: Inverse Z transform of the function

Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

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Q: Laplace transform of (e sin? c) 1 (s + 1)(s² + 2s – 4) (s + 1)(s² + 2s + 5) O Option 1 O Option 2 2…

A:

Q: Find the Laplace transform of f (t) = te2t sin 6t 12s+24 |(s)²+36 12s-24 2 (s-2)° +36| 12s…

A: Correct ans is =option B

Q: Find the Inverse Z-transform for X(z)=(z+1)/((z-1)(z-2)(z-3))

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Solve for the inverse Laplace transform of st+3s"+s? 01+3t + 2t2 O 2+6t- O01+3t + t? O1+3t + 3.

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Q: X(z) = z² N N (2--/-)² (2-²) 3/

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Q: 7s-8 La transformada inversa de Laplace de es igual a: (s-2)(s+1) a) 7cos (2t) - 8sen (-t) b) 2e2t…

A: Given that  (7s-8)/((s-2)(s+1)) We have to find out the inverse Laplace of the function