Find a function whose Laplace transform is (8 – 1)2 +1 O et 1 cos(t – 1)u(t – 1) O et 1 sin(t – 1)u(t – 1) O e' sin(t)u(t – 1) O e' cos(t)u(t – 1) O et 1 sin(1 – t)u(t – 1)

Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = u(-1)-…

A: We only answer up to 3 sub-parts. the first option d is not clear so cant be answered. Rest of them…

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: 2C

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Q: 2(+-3) cos (t-3) y ct) : Sin 2t cos 34

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

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Q: f(x) cos (at) if t 20 %3D 0 if t<0

A: Given: f(x)=cos αt if t≥0o if t&lt;0

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (1 – t)(h(t – 1) – h(t – 3)), for s…

A: Rewrite the given function as follows.…

Q: Find the Fourier Transform X(w) of each signal x(t) given below. (a) x(t) = 1 + cos(3t) (b) x(t) =…

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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: Determine the Fourier transform of f(t) = te-2t u(t), where

A: Given ft = te-2tut where ut =0     t&lt;01    t&gt;0 The Fourier transformation is given by Fw…

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: 1 Find the inverse Laplace transform of F(s) (s+a)*(s+b) for t >0

A: Given function is, F(s)=1s+a2s+b

Q: Compute the Laplace transform. Your answer should be a function of the variable s: L{2+u5/2(t)est…

A: ua(t) is a unit step function given by ua(t)=0 if t&lt;a1 if t⩾a We use following Laplace…

Q: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

Q: Compute the Laplace transform. Your answer should be a function of the variable s L{3+ u(t)e sin(7…

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Q: 9-12s-4s2 C. (s2+4)2 +12s-2s2 (s2+4)2 9+12s-4s? D. (s2+4)3 -12s-2s? (s2+4)3

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Q: Find the Inverse Laplace Transform of the following functions 3s? – 2s–1 (s- 3)(s² +1) A) F(s) =…

A: As Multiple Questions are given , I will solve the first one Only :   We are given…

Q: b) f(t) = 3 sin(2t) + 5e³t so

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Q: Which of the following is True about the Fourier transform of the signal x(t) = u(t) — u(−t)? - X(w)…

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Q: 2. Determine the Laplace transform of the given function. a) f(t) = e³¹t4 c) f(t) = est sin(3t) e)…

A: Recall the formula of Laplace transform: For any non-negative integers L{tn}=n!sn+1 .The property of…

Q: Find the Laplace Transform A- f)=tcos(@r) B- f(1)=tsin(@t) C- f(t)=tcosh(at)

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Q: Compute eigenvalues and eigenvectors for the matrix: GJ O λι = ί λ = - 31 = A₁ = 1 A₂ = -1 --0--0 =…

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Q: Find the laplace transform of 1.f(t)=u(t)-u(t-1) 2.f(t)=cos5t.u(-t) 3.f(t)=sint.u(t).et

A: Since multiple questions are posted only the first question will be answered. Kindly resubmit the…

Q: Explain the Pythagoras theorem with its proof and applications. Use citation in APA format, commas,…

A: claim- explain the pythagoras theorem with its proof and applications statement- In a right angled…

Q: 3. Find the inverse Laplace transform of the function (a - B)2 2(a - B)3 (s - a)(s – B)3 a - B F(s)…

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Q: Find the inverse Laplace transform of 2s-3F(s) | 7° f(t – 7) dr 3 0. Uc(t)(1+sin(a(t – c))

A: Since you have posted  a question with multiple sub-parts, we will solve first three subparts for…