B- Find Laplace transformation for the following 1. f (t) = sin3t 5. g(t) = {(t %3D

Q: 4. f (t) = x5e(1-x)

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Q: Q2: Find The Fourier cosine and transform of the following functions: SSint, ostse (1) f(t) = 10₂…

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

Q: Solve the laplace transforms for: a- L[alt ex. cos2x. dx]=F(s)/s b- L[t². Sin2t] =(-1)².…

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Q: Find the Fourier transform of the function f(t) = e-2. 2. ii. Using Fourier transforms prop erties…

A: The Fourier transform of the function is represented as , it is defined as , where . Since the…

Q: sinat dt 2.1. Use Laplace transforms theory to compute

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Q: Q.5A/Find Laplace Transform of the following functions 1.f(t) = 6e-6t + +5t3-9 2./(t) = (42marke)…

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Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

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Q: Q2 \ Determine the Laplace transforms of the following function: t | e-4tt sin? 3t dt L

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Q: Find the Laplace transforms of the following function: g(t) = 7e-#(6t – e*)².

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Q: 5. Find the inverse Laplace transforms of the functions given. Accurately sketch the time functions.…

A: given that a) F(s)=3e-2ss(s+3) b)F(s)=e-2ss(s+1)   find the inverse laplace transform of the above…

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: Q5: /A/ Find the inverse Laplace Transformation by using convolution theorem 1 for the function s3…

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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, . . .…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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

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Q: ƒ(t) = t²,0 < t < 2ñ‚ ƒ(t + 2ñ) = f(t)

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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: L{e' sinh(t)}

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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: Find the Laplace transform F(s), given that f(t) is: (a) 2tu(t – 4) (b) 5 cos(t) 8(t – 2)

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Q: Use the formula £{t" f(t)} (s) = ( – 1)" – (L{f}(s)) to help determine the following the…

A: We will use formula for derivative of u/v and given formula to solve as follows

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) Express the following function in terms of unit step function and find its Laplace…

A: We have to solve given problems:

Q: t2 t 6. [34] Find the Laplace transform of f(t) 2t – 8 te-2t

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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: Let f(t)= for 0<t<1 for t≥1 a. Find L{f(t)} by using the definition of Laplace transformation. b.…

A: Let's find.

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

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