a) f(t) = t¯/2 b) f(t) = t\/2 c) f(t) = t32. %3D %3D

Q: Find the Laplace transformation of the following: 1) (2t² – 1)2 2) cos³t 3) sinh³t Hint: sin CoS

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Q: a? + b², ab + 0 (s2+a?)(s²+b²)'

A: We find the Inverse Laplace Transform of given function.

Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: 1) Find the inverse Laplace transformation of the following functions. 6 (i) F(s) = (s – 1)4 2 (ii)…

A: The Laplace transform of the function   is represented as , it is defined as , since the dimension…

Q: Use this technique to find the inverse Laplace transform of the functions given in Exercises 11–14.…

A: The solution is given as

Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[3 sin(-3t) – 4 cosh(-4t)]

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Q: Find Laplace transform of b) f(t) = te'cos(t) %3D

A: Given:  (1) f(t)=tetcost

Q: The Laplace transform of f (t) = (2) U(-1)is e2s O This option Ohis option O This option Tdis pution

A: ANSWER: L{U(t-c) f(t-c)}=e-cs F(s)L{tn}=n!sn+1L{U(t-c)}=e-css

Q: Find the Laplace transform of e- (s+1)? s-1 (s-1)2 s+1

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Q: 7 (a) s+2 e-8s (b) s(s + 2) e-5s (c) s2 + 2s – 5/4 1 (d) s2 + 2s +2

A: a)To find the inverse Laplace transform of 7s+2 L-11s-a=eat L-17s+2=7L-11s-(-2)…

Q: f (t) = t5 e(1-t)

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Q: Find the Laplace transform of L[ (A) L =- s* +a (B) L[)= a (C) L = (D) L =- s +a (D)

A: L[eat]=1s-a

Q: Sketch f(t) and find the Laplace Transformation of the following functions. e2(1-s)n-1 1. f(t) =…

A: The given problem is to sketch the given periodic function and find the Laplace transformation of…

Q: 1. f(t) = (2e-4t + sin t)²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The Laplace transform of f (t) =t? U(t - 3) is: F(s) = e* (+) F(s) = e* (-) -3s O This option This…

A: We will find Laplacian transform of given f(t).

Q: f(t) = cos(t 6.

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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: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: Sketch f(t) and find the Laplace Transformation of the following functions t, 0 < t < 1 i) f(t) =…

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Q: π od T = ¹. Ans: V a

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Q: The Laplace transform of f (t) = 2 0st<1 Is: F(s) 2+e %3D F(s) = 4-8e-25 %3D This option O This…

A: In this question we have to find the laplace transform which we can find out by using the formula…

Q: Find the laplace transform by definition.   a) L{2} B)L{e2t} c)L[e-3t}

A: Here we finding the Laplace transform of given function by the definition . We perform the definite…

Q: 3. f(t) = cosh(3t) %3D

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Q: (a) Determine the Laplace Transform of the two (2) signals depicted in Figure 2(a). sin t 1/e TT…

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Q: What is the inverse Laplace transform of F(s) = -? a. f(t) = 0 b. f(t) = cost c. f(t) = sin t d.…

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Q: a) Find the Laplace transformation of the function f(t) = cosh at sinh bt

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Q: Exercise 3: Find the Laplace transform of f(t) = cos (t -).

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Q: 6. Find the Laplace transformation of the following functions: (a) f(t) = 2e-3t + 5t4 – 3 sin 2t

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Q: Use this technique to find the inverse Laplace transforms of the functions given in Exercises 7–10.…

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Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: Find the inverse Laplace transforms of the functions: 3 (a) F(s) s4 1 (b) F(s) (c) F(s) = s+5 3s+1…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: By obtaining a Laplace transform of a function of t, a translation on the s axis of 2 units to the…

A: Since we know that, if Lf(t)=F(s) it means Lf(t)=∫0∞e-stf(t)dt=F(s)

Q: L{(1+te*)³}

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Q: Use the Laplace transformation to solve the problem: ou ou x >0, t >0

A: In this question, we use Laplace transform to solve the wave equation as uxx=uttwithI.C: u(x,0)=0…

Q: Find the Laplace transform of f(t) shown in Fig. 3 0 1

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Q: The Laplace transform of the function f(t) = e3+*(2t - e3t)² is: %3D

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Q: Find the laplace transform of a periodic function of a sawtooth below; f(t)=a and t= b, 2b, 3b,and…

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Q: Find the inverse laplace transform of F(s) = 6s/(s^2 + 25) + 3/(s^2 + 25) * %3D

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Q: 1 (² 1

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Q: if ost<! f(4) - e 34 if 1<t<2 %3D Sint, Find the Laplace Transformation of the function f(t).

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Q: Calculate the Laplace and Inverse Laplace transformations given below. 3 c) L s2 + 4s + 13

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Q: Find the Laplace transform of the equation. a and b are constant.

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Q: Find the inverse laplace transform of 1/(s+a)(s+b) A. 4e-at-3e-bt B. e-at-e-bt C.…

A: Here we will find out inverse Laplace transform.

Q: Find the Laplace transformation of the following: 1) (2t2 – 1)2 2) cos³t 3) sinh³t Hint: sinh?t =…

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Q: Find the laplace transformation of the following function :- f(t) = Sint + i (il 000 1 f(t) = f(t) =…

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Q: 2. Compute the Laplace transform of the function f(t) whose graph is given in the figures below. (a)…

A: We will use here formula for integration by parts

Q: Calculate the Laplace transform of 4. f(t) = tcos bt

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Q: Sketch f(t) and find the Laplace Transformation of the following periodic functions t, 0 f(t) =…

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Q: Find the Laplace transform of f(t) = te?tsin(3t). (Hint: Theorems of Laplace Transforms) %3D

A: The Laplace transform of a function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). To…