Compute the Laplace Transform of the given functions: First, rewrite in terms of step functions! To do this at each step you 'add the jump'. That is, if the formula changes from gi(t) to 92(t) at t=c, then you will have a term of the form u(t) (g(t)- gi(t)) in the function. Second, use L[u(t)f(t-c)}=eC{f(t)}. Another way to write this is C{u,(t)f(t)}=eC{f(t+c)}. Thus, you 'pull out' (t) and write e out in front. At the same time you replace t' with t+e' and find the Laplace function of the new expression. 1. f(t) 0,0 ≤ t < 6: ,t≥ 6. - {% 3

Q: Find the Laplace transform of each function: y = S(x)

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Q: Find the inverse Laplace transform of the following function: 2s² +5s-6 3 2 s³ -3s² -13s +15 S

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Q: Get the function in algebraic form, state its representation in terms of the function unit step and…

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Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: Find the inverse Laplace transform of the following functions (a). F(s) 2 = s²+3s-4 2s+4 (b). F(s) =…

A: To solve the given problems, we need to find the inverse Laplace transform of the given functions.…

Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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Q: Find the inverse Laplace transform of -8s F(s) = e s² - 18 - 12 f(t) = =. (Use step(t-c) for uc(t).)

A: The given problem is to find the Inverse Laplace transform of the given function F(S) to find the…

Q: Compute the inverse Laplace transform of the following functions. Label each inverse transform as…

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Q: Calculate the Inverse Laplace transform of the following. Please write down all the steps of your…

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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Q: Find the Laplace transform of the function f(t)= (5e/t+4t)using the table of known as2+bs+c…

A: We first find Laplace transform and then comparing we find the value of c.

Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Find the inverse Laplace transform L-1{F(s)} of the function F(s) = - 4 (8 – 4)³ NOTE: The ansuwer…

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Q: Find the transform of the function: g (t) = t3/2

A: The objective is to find Laplace Transformation of the function gt=t32

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

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Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: Kind the haplace transform of f(t)=78(t-½)Cost.

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Q: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: * + 3x + 6x = 0, x(0) = 0, x(0) = 3, x(t) =?

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Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly…

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Q: 5. Find the inverse Laplace transform of the function as + b H(s) : (8 – a)2 + B2"

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Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: Find the inverse Laplace transform of f(t) F(s) = = help (formulas) (Notation: write u(t-c) for the…

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Q: Determine the inverse laplace transform of this function: 8(s + 1)(s + 3) s(s + 2)(s + 4)

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Q: Find the Inverse Laplace Transform of the following: 8s2 –4s+12 1. F (s) 53+4s

A: The solution is given as

Q: 3. Find the inverse Laplace transform of the function (a - B)2 2(a - B)3 (s - a)(s – B)3 a - B F(s)…

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Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem