Suppose that F (t) = 0 for t< 1 and F (t) = t 2 for t > 1. If f (s) is the Laplace transform of F (t), what is e 2 f (2)? O 1 8. 1 4 O 5 4 o (E) O 1

Q: S F(s) = (s+5)6

A: Use partial fractions to split the function then use laplace table.

Q: 5, show your solution for the Laplace Transform of the function of G (t), G(t) = t, G(t) = 10 0 4

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Q: Determine the initial value of c(t) where the Laplace transform of C(s) is given by: (4s +1) s(s +…

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Q: determine a function f(t) that has the given Laplace transform F(s).

A: Given,  F(s) = 3 / s2

Q: Q4) Iff(t) = eat, its Laplace Transform is given by? %3D a) a/s²+a² b) VT/2vs c) 1/s-a d) Does not…

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Q: The Laplace transform of f (t) = { 0St<2 is: t 2 4-8e 2s 2+e s %3D F(s)

A: here true option is (a) .

Q: 1) Use the definition of the Laplace transform to find L{f(t)} given 3, 0 3

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Q: Find the Inverse Laplace transform of F(s) = (s+1)(s²-1)

A: The given function is Fs=1s+1s2-1 OR Fs=1s+1s+1s-1 To find the inverse Laplace transform of the…

Q: Find the Laplace transform of : F (t) = (e – 2tm) e-5t f (s) = 8n! s-5 (s–5)4n+1 8n! f (s) = le s+5…

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Q: Find the Laplace Transform of f (t) = {t for 0 3} -

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Q: 1. From the definition of the Laplace transform, compute L(f(t) for (a) f(t) = 4t (b) f(t) = e2t (c)…

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Q: 4 The Laplace transform of f (t) = {*. 0st<2 is: t2 2

A: We have to use Laplace transform integration.

Q: The Laplace transform of f (t) = {4, 0<t< 2 t2 2 is: -4

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Q: 1. Use the definition to find the Laplace transform of the given function t, 0<t<1 f(t)={2-t, 1st<2…

A: Find the Laplace transferom of the function

Q: 2s2+7 F(s) = (s+1)(s+2)(s²+ 2s+5)

A:

Q: If the Laplace Transform of F (t) = /t3 is 4s 2 what is the Laplace Transform of F (t) = e' Vt3?…

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Q: The Inverse Laplace Transform for 1/S-3 is u(t)e^3t e^-at t^2 t

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Q: Find the Laplace transform of: e't + sin(3t) (s-1) (s-1) (8-1) s+9 9 (s-1) g2+9

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Q: Find the Inverse Laplace Transform of : F(s) = 3 / s2 (s2 + 4s + 4)

A: use partial fraction and then apply laplace inverse on both side...

Q: 3. 6 сos(4t — 1)

A: The solution is given as

Q: If f(t) = t sin(at), its Laplace transform is given by? %3D -2as (s²+a²)2 2a (s² +a²)2 2as (s2+a²)²…

A: Proceed as shown below...

Q: If f (t) = cos(4t – ), what is the laplace transform of f (t) ? %3D V3s 2(s+16) 2. +16 O 2 V3s +16…

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Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1)(s2+9)

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Q: The Laplace transform of th is valid for O s>n O s>0

A: The Laplace transform of tn is        Ltn=n!sn+1, for s&gt;0

Q: Find the Laplace Transform of f(t) = 1³ if 1<t<2 , and f(t) = 0 otherwise.

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Q: Find the Inverse Laplace Transform of the following: 1. F(s) (s+5)6 s-1 2. Y(s) s2 +4s+5

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Q: Find the Inverse Laplace Transform. 4s+16 F (s) = 4s2+4s+1 O ei (플) O et (플+ 1) 2 (t+1) e 2

A: We have to find the Inverse Laplace Transform of Fs=4s+164s2+4s+1

Q: 1, 1<t<2 then the Laplace transform of ft) is If f(t) = 0, elsewhere e st dt e tdt -st dt e tdt

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Q: The Laplace transform of g(t) ={t +1 t < 3 is: t2 3

A: We have to solve using Laplace integral.

Q: 11: The Laplace transform of the function f(x) = xe4* is a) 1/(s – 4)2 b) 1/(s + 4)? c) 1/(s – 2)4…

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Q: Evaluate the Inverse Laplace Transform F(s)= s+ 3s + 2

A: Problem is solved using concept of inverse laplase.

Q: Find the Inverse Laplace transform of F(s) 8(s+2)-4 %3D s2+4s+29

A: Now, to find the inverse Laplace, firstly simplify the expression a little.…

Q: Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) =…

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Q: Find the inverse LaPlace transform F(s) = 5s 2 s² +9

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Q: Find the inverse Laplace transform for F(s) = (s+3)3 2s – 3 F(s) = %3D s2 + 2s + 10

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Q: Find the Laplace Transform of f(t) = t ei sin3t 6s A F(s) ((s- 2)²+9)? 6(s+2) B F(s) = ((s+2)²-9)?…

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Q: 1. Compute the Laplace transform of f(t)= u(t-3)e-²¹ (a) Using a table (ie using one of our…

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Q: The Laplace transform of f (t) = {", 0<t< 2 is: t2 2

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Q: Suppose that F (t) = 0 for t 1. If f (s %3D the Laplace transform of F (t), what is e 2 f (2)? (E)…

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Q: Directly from the definition compute the Laplace transform 2t if 0≤t≤ 1, { 0 if t > 1. Problem 11…

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Q: Find the Inverse Laplace Transform of the following: 1. F(s) = (s+5)6 S-1 2. Y(s) s2 +4s+5

A: The given problem is to find the inverse Laplace transform of given function, we can use inverse…

Q: The Laplace transform off(t) = (t – 1)U(t – 3) is:

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Q: determine a function f(t) that has the given Laplace transform F(s).

A: Given Laplace transform is Fs=4s+5s2+9. The function can be obtained as follows.…

Q: If the Laplace Transform of F (t) = Vt3 is 3 T , what is the Laplace Transform of 5 4s 2 F (t) = e'…

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Q: Given that L(f(t)) = tf(t) is: 2s then the Laplace transform of the function g(t) = s²+1'

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Q: 3) Use the definition of the Laplace transform to find L{f(t)} t, if 01.

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Q: Find the laplace transform of F(s) = (s ^ 2 + 5s + 19)/((s ^ 2 + 4)(s ^ 2 + 9))

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Q: determine a function f(t) that has the given Laplace transform F(s).

A: Consider the following function: Fs=2s+5ss2+4s+20…

Q: 2 The Laplace transform of f(t) =te' is F(s) = (s-17 Select one: O True O False

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Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1)(s^2+9)

A: First find the partial fraction of 2s+3s+1s2+9. 2s+3s+1s2+9=As+1+Bs+Cs2+9 ⋯…