Sketch the following functions and find their Laplace Transforms: 2.) 4u(t – n)cost

Q: Find the laplace of  f(t) = cos(root2)t + sin (3t)

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Q: 2. f(t) = 6 sint cos t

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Q: f(t)= t³ cost

A: 8

Q: Given the function f(i) = t cos(4 t) Use the Laplace Transform properties table to convert this…

A: Using laplace  transform  formula we have to find the value of  tcos(4t).

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

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Q: What is the laplace trasform of f(t)= (e^-4t)cosh4t

A: Laplace transformation is the integral transformation that converts a function of real variable to a…

Q: 2. Find the Laplace Transforms of (te' sin(at))" when a = 1

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Q: Use Laplace transforms to solve t + f(t) = f sinh(w)f(t-w)dw

A: Given equation is t+f(t)=∫0tsinh(w)f(t-w)dw Take Laplace transform on both sides.…

Q: determine the laplace transform for: picture above ( using table of laplace tranform) b) f(t)=t2

A: Consider the function f defined by                            f(t)=t2   ⋯⋯⋯ (1) Determine the…

Q: . Calculate the Laplace transform L {sin? t – cos²t}. -

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Q: B. L{te²" sin 6t} 21

A: (3) We know that  LtnFt=-1ndndsnfs where LFt=fs and LeatFt=fs-a where LFt=fs

Q: Find the Laplace transfomation of the function f(t) : cosh at sinh bt

A: The given function ft=cosh at sinh bt. To find: Laplace transformation of the function. Formula…

Q: Sketch the following functions and find their Laplace Transforms: 5.) 10cosnt(1 <t < 2)

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Q: 7s +11 F ( s) = s? –100

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Q: ėt, Cost Cos 2t

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Q: (b) Determine the following Laplace transforms: (i) L{cos² 3t}. (ii) L {cos t sin t}. (iii) L{e'…

A: As per our guidelines we are supposed to solve only one problem. For the solution of the first…

Q: Use the definition of Laplace Transforms to show that:

A: Given:L{cos(at)} = s/(s2 + a2)

Q: Find the Laplace Transforms of the following functions: (c) f(t) = cos³ t. (e) f(t) = sin 2t cos 3t.

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Q: Evaluate using Laplace Transform: 00 2 sin f (t) = dt et

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Q: f (t) = 10 sinh(6t) u(t)

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Q: Use the definition of Laplace Transforms to show that:

A: Given:The laplace transformation,

Q: Find the Laplace transform of the function [t sin(t)]. 7P

A: I have used the Laplace transformation table

Q: find directly the Laplace trans- forms of the functions described (by formula or graph) in Prob-…

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Q: Express the given function in terms of unit step functions, and find its Laplace transform. sin t, 0…

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Q: L(sinh at)

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Q: 1 5. L{3e Зе sin? t 2

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Q: Find the Laplace transform of f (t) = cos 2t +7 sin 2t +14 14 +14

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Q: 2) Sketch the graph of the following s functions and find the Laplace transfo a) f1(t) = }4 – t, (o,…

A: Given,      (a)    f1(t)=t0≤t&lt;24-t2≤t&lt;40t≥4      (b)    f2(t)=00≤t&lt;1t1≤t&lt;21t≥2

Q: 3 f(t) = sin²Ğt)

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Q: Find the Laplace transform of f(t) = sinbt .

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Q: ,determine the Laplace transform of f. Q. f(t)=e−2t sin(t −π/4).

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Q: Find the Laplace transform of the following function. fe) = J c 5v sin (4(t- v)) dv f(t): L{f}(s) =…

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Q: Sketch the following functions and find their Laplace Transforms: 1.) (t – 1)u(t – 1)

A: Image is attached with detailed solution.

Q: ,use properties of the Laplace transform and the table of Laplace transforms to determine L[f].

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Q: Q3. (b) Determine the following Laplace transforms: (i) L {cos² 3t}. (ii) L{cos ¿t sin t}. (iii) L…

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Q: find the Laplace transform f(t)= te sint

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Q: Find the Laplace Trans Form 4) f(1)=t sinh(at)

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Q: olve for the Laplace Transform of f(t) = e4t+ sin 2t

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Q: 1. f(t) = sin ² Gt)

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Q: Use the Tables of Laplace transforms, along with the operational theorems, to find the Laplace…

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Q: Calculate the laplace transforms by using laplace taeafor Pairs/tables 1. Ft)=10+8t. 2. f(t)= exp…

A: Solution by using table of Laplace transform as follows :

Q: Sketch the following functions and find their Laplace Transforms: 4.) et (0 < t < 1)

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Q: Sketch the following functions and find their Laplace Transforms: 3.) sinwt (0 < t < =)

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Q: Determine the following Laplace transforms: i) L cosh at) i) -35+9 iii) Ls +5 7-23+1 2s+1 iv) Ls+…

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Q: c ] s(at)sinh(af)

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Q: find directly the Laplace trans- forms of the functions described (by formula or graph) in Prob-…

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Q: Find the Laplace transform of the function f(t)= E sinut Given that f(t+ =ft}

A: Given ft=Esinωt0&lt;t&lt;l100l10&lt;t&lt;2l10

Q: Determine the following Laplace transforms: (iii) mathcal L \ e^ t cosh t\

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