2 - 4s +3 F2(8) = (8 – 1)(s³ + 3s² – 10s – 24)

Q: determine the Laplace transform of the given function f. Q. f(t)=(t −2)2u2(t).

A: Given: ft=t-22u2t. We have to determine the Laplace transform of the given function.

Q: Compute the Laplace transform of the function f (t) = te-2

A: consider the function f(t)=te-2 the Laplace transform is given by the formula L{t}=1s2

Q: What is the Laplace transform for the function: x(t) = 7te 8t +3. X(s) =

A:

Q: Find the inverse Laplace transform f(t) = ¹ {F(s)} of the function F(s): = 120 85 50 | 5

A: We need to find the inverse Laplace transform of the function .We know that, if , then .We know that…

Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

Q: Given the function Y(0) = S4 Use the Laplace Transform table to convert this function into f(t).

A:

Q: Find the Laplace transform to the following function f(t)= u(t-2)te4t

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Q: Find the inverse Laplace transform f(t) of F(s) = (e-s-e-3s)/(s2

A:

Q: Use Laplace transform to solve for f(t): (t-7)S(T)dr=t.

A:

Q: Determine the Laplace transform of  function Q f(t)=eat, wherea is constant

A:

Q: Find the Laplace transform F(s) of the function f(t) = r5(t - 2) F(s) =

A: We have to find the Laplace transform of the f(t).

Q: A F(s) = S + 5 1 B F(s) = s2 + 25 120 F(s): s6 S + 5 (s + 5)2 D F(s) +

A: We have to find Laplace

Q: 3. Find the inverse Laplace transform of F(s) = 180+18,²+354

A: Applying this to each term:  So, the inverse Laplace transform of F(s) is: f(t)=4t6​+43​t4+23​t2…

Q: Find the Laplace transform F(s)=L{f(t)} of the function f(t)=e−3tcosh⁡(5t).

A:

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: Determine the laplace transform of f(t) = 2e2t √t

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Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=4e³jt f(t) may be…

A:

Q: Find the Laplace transform of the following function F(t) = eat Cos (kt)

A: Given F(t)=eαtCos(kt)

Q: If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t)=3e²jt f(t) may be…

A: If Fω is the Fourier transform of f(t), then using the linearity property, it can be written that…

Q: Calculate the Laplace transform L{f} of the function f(t) = et+2 8t° + 8 sin(2t) + 9 using the basic…

A:

Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…

Q: e-t 0くt 2 f(t) :

A:

Q: f(t) = ekt cosh(2kt) – H(t – a)(t – 2)

A:

Q: Find the Laplace transform, F(s) of the function f(t) F(s) = " s> 0 = 8t² - 5t - 5

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Q: Find the Laplace transform of the function f(t)= cost, if 0 4T

A: