Find the Laplace transform for the following and draw all the poles and zeros a) f(t) = 10[e 30 – 2e100"] u(t) b) f(t) = 25[1- 3cos(500t)] u(t) c) f(t) = A[cos(Bt) – sin(Bt)] u(t) d) f(t) = 30[2 - 5t - 2e*] u(t)

Q: 8. t* – t² – t + sin v2t

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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Q: 2C

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

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

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Q: f(t)=cos(at). f (t) = 2cos(3t). f(t)=1-cos(wt) f(t)= 4t · -f(t)=e.

A: Given,     1.  f(t)=cos(at)

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: Use formulas from this course to find the Laplace transform (a) L{ – 2tª + 3e-3t +t cos(3t) }. (b)…

A: we have to find the Laplace transform of  a)ℒ{-2t4+3e-3t+tcos(3t)}b)ℒ{e5tsin(2t)c)ℒ{f(t)g(t)}where…

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: f(t) = e-5"cosh(6t) – (9t)"/2 %3D

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Q: (b) Given f(t) = sinh(-4t)U(t – )and g(t) = sinh(-4t) * U(t – ) %3D where U(t - a) is the unit step…

A: The solution is given as

Q: b) f(t) = 3 sin(2t) + 5e³t so

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Q: Find the Laplace transform of the following time functions: (a) f(t) = t² + e-2t sin 3t (b) f(t) = t…

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

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…

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Q: :) f(t) = sin (wt + 0); sin (ot + 0); %3D

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 1. f(x) = 2x² – 3x + 4 2. f(x) = e-2x sin 5x 3. f(x) = x cos7 x 4. f(x) = 5 sin 3x – 17e-2x cos 3x…

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Q: Find the Laplace transform for 1 (a) f(t) = sin? t J 3) (b) f(t) = e-4t sin 3t (c) f(t) = t sinh 5t

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Q: Determine the Laplace transform of the function. a) L[5+cos(3t)+2e³¹ ] =

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