Find the inverse Laplace transform f(t) = L−¹ {F(s)} of the function F(s) You may use h(t) for the Heaviside step function. f(t) = L-¹ e-³8 (4s + 2) 82 +1 {² {} = help (formulas) e -38 (4s + 2) s²+1

Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 4 F(s) = s2 + 4 Your answer…

A: Given,           Fs=4s2+4

Q: Using the tables write down the transforms of the following functions/ (i) t² – 3t + 4 (ii) 2 cost…

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Q: Part II. Find the Inverse Laplace Transform of the following: 8s -4s+12 1. F(s) s3 +4s

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Q: -25 -35

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Q: Q: The Fourier representation of a function f(x): f(x) = {-10 V, 10 V, ーTくX x > 0 40 sinx sin3x…

A: Given f(x) = -10v.  When -π < x < 0              = 10v when 0 < x < π.   Graph of this…

Q: A1: Find the Fourier transform, defined by F(k) = f(x)ek* dx, of the function x+1 -2 <x < -1 f(x) ={…

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Q: Etample T4 Find the inverse finite cosine transform f (x) if (2nn cos 3 where 0<x < 4. F(n) = (2n +…

A: Inverse finite cosine transform

Q: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: s2-2s -n: (s-+4)(s-+4s+5)

A: Given: s2-2ss2+4s2+4s+5

Q: (d) * + 6 + 58x = 116, x(0) = 0, (0) = 1

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Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 2. Find the inverse transform of 2s² +5s-6 $³3s2-13s +15

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Q: Find the inverse Laplace transform of H(s) -6e-2s s2 – 2s

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Q: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

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Q: 더 - C 1 -2s +6 s+2 82 - 4s + 8+1 C S-2 1

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Q: Find the Fourier Sine Transform of the function f(x) = (ae-4* + be-3* + ce-2*) if x> 0 if a = 6, b =…

A: The given problem is to find the Fourier sine transform for the given function with given unknown…

Q: Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE:…

A: Given that Fs=e-2ss2+5s-50 We have to find the inverse Laplace transform of Fs that is L-1Fs For…

Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: when using the Laplace Transform Table, you need to always identify c, f(t), and F(s), etc. 2 Find…

A: find the inverse laplace transform

Q: We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the…

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: 21 4 39. (s + V2jª 40. s2 - 2s - 3

A: 39. Given  F(s) = 21s + 24       = 3!.213!s - -24 Apply laplace inverse both sides, we get L-1Fs =…

Q: Find the inverse Laplace transform L-1{F(s)} of the function 6 F(s) = (s – 1) NOTE: The answer…

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Q: Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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Q: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-

Q: Inverse Laplace transform of s2+9 is given by O cosh(3t) O cos(9t) O cos(3t) O sin(3t)

A: Find the inverse Laplace transform of ss2+9 we know that L-1ss2+a2=cosat

Q: Determine the inverse transforms of the following. 2s 6 (a) (c) (S-2) (S-4) (b) 5s-8 s(s - 4) $²25…

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Q: Solve the Inverse Laplace Transform 6 1 F(s) = ((25 + 3)² + = -) 0 ² e 5s 3

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Q: Find the inverse transforms of the following functions: F(w) = 478(w) — j2/w + 4л8(w - 2)

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Q: 27 -27 47 Graph of g 6. Let g be the piecewise-linear function defined on [-2x, 4x] whose graph is…

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Q: How do you write the Laplace transform of this translated Heaviside function?

A: Given - ft = 0x &lt; π1x ≥ π To find - Write the Laplace transform of given translated Heaviside…

Q: apia 11s? – 21s + 36 - F(s) s(s² + 9) S Your answer should be a function of t. L-\{F(s)} =

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