Find the laplace Transform of the followng: Calffax) => + cos 2x + 2e 6ih (t) --2sinh(et) + Sin(3t) +st? -9 e) gct) = - Geos Cyt) - 6sin (4t) t2cos (8t) %3D

Q: Inverse Laplace transform of (a) e cos 2t+4e* sin2t (b) e cos2t-4e* sin2t (c) 4e cos2t-e* sin 2t (d)…

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Q: From a Laplace Transform form, we have the following expressions: s - w I) L{ewt cos(ßt)} (s – w)2 +…

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Q: ft) = cos 2t + sin 2t + cosh 2t + sinh 2t 2s? (s+2) А. (s2 +4)(s2 -4) 2s? (s-2) С. (s2 +4)(s2 -4)…

A: We find the Laplace Transform of  f(t)=cos(2t)+sin(2t)+cosh(2t)+sinh(2t).

Q: Find the Laplace transform of the equation: y′′−4y=sin2t when y(0)=0, y′(0)=2 choices: a.)…

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Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

Q: cos x, 0 a

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Q: O Find Fourier Cosine transform of: CoS X oa

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Q: f(t) = [1 – u2m (t)](2 sin t – sin 2t)

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Q: Given that -9/s cos(9t) L{- Vnt Vi cos(9t). find the Laplace transform of L{V cos(9t)}

A: We find the required Laplace transform

Q: L{7te-5t cosh(3t)+sin(√6t) — ²t³ + e=¹} -

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Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

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Q: Q1: Find the Laplace transform of: a) L{cos 2t + et} b) L{5e¯† + cos 3t}. c) L{2 sin 3t-4e-4¹}.

A: We can answer only three subparts, or the first question and the rest can be reposted.No more than 3…

Q: a) Consider the following function UTM UT Cos t, cos 2t, 0 T. UTM ii. Hence, find its Laplace…

A: The given problem is to express the given function in terms of unit step function and also find the…

Q: cos x, 0a

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Q: B) Find Laplace transform of each of the following: 1) f(x) = 0.5e3x + cos(bx) ex sin(cx) - at 25 2)…

A: Solution of the given question is like as

Q: 3. cos?wt

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Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

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Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

Q: 3. x"(t) + 4x"(t) + 9x'(t) + 10x(t) = -24te'; when t=0, x = 0, x = 4, x" = 10

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Q: -.) t(3t-2)4 et

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Q: f(t) = e-5"cosh(6t) – (9t)"/2 %3D

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Q: 70. Which of the following. is the inverse Laplace transfor B (B^2-9)/(s^2+9)^2 ? A. cos (3t)+3t…

A: The given expression for the inverse Laplace transform is:The objective is to determine which of the…

Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3icos2t 2. te-3'cos22t 3.…

A: Q2 asked and answered.

Q: Find Fourier transform for : A) f(t) = e-3t cos² (3t) B) f(t) = te tu(t - 3)

A: (A)Given f(t)=e−3tcos2⁡(3t).Now, we'll find the Fourier transforms for individual terms.The Fourier…

Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

Q: What is the Laplace transform of the following: answer need to be clear and all sets shown F(t) = 3t…

A: Remember : Ltkft=-1kdkdskLft Leatft=Fs-a

Q: 6. et+7 dt 7. r'e-)* dt 8. I. 4e-" sin 6t dt

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Q: Calculate the complex exponential Fourier coefficients for the signal shown below Note:- the…

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Q: 2.) cos (10t+1)

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Q: Determine the Laplace transform of the function. a) [4+sin(31)+5e²]- b) Z[6r'+2t’e" +sinh(4)].

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Q: Find the Laplace transform of the f(t) = 8t° e2t – 3t cos(t) + 10. Explain the solution steps in…

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Q: Find the Inverse Laplace Transform of s?+2s + 10 'sin3t A 3 3 sin9 3. cost

A: Inverse Laplace transferom

Q: 3) Find the Laplace transform of the f(t) = MtMe2t – 3t cos(t) + 10. Explain the solution steps in…

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Q: Find Laplace transform of the function: f(1) = sin 21(et cosh 41+ cos(x + 1))+1(2 cos 31+1'e¹) 11.00

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