Find the inverse Laplace transform of F(s) = tls+h fort 2 0 1 (sta)*(s+b) sin(at) + e¯bt a) te be b) + sin(at) (a-b)? sin(at) c) + (a–b)² te at b-a (b-a)? d) (a-b)² - (b-a)? be sin(at) + (b-a)² te e) te at - (a–b)² Non of them

Q: Compute the Laplace transform. Your answer should be a function of the variable s: s(πt)} = c{₁+ +…

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Q: Calculate the inverse Fourier transform of the function, At) if F(@)= 200(jw+1) jw(jw+10)(2jw+4)

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Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: Compute the Laplace transform. Your answer should be a function of the variables: L2+ u₂(t)e-³¹…

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Q: Solve the laplace transform Z(cos (at)sinh(at)

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Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

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: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: Solve equation using Laplace transform ÿ + 9y = 8 (t -) |sin(t), y(0) = 0, ý(0) = 0

A: Formulae:  1. Lf(t)δ(t-a)=e-asf(a) 2. Lf''(t)=s2F(s) - sf(0)-f'(0) 3. L-1e-asF(s)=H(t-a)f(t-a),…

Q: Given that find the Laplace transform of √cos (8t) C{√/cos(8t)} = (-16)^(-8/s)/(88 (5/8)) CL cos(8t)…

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Q: NO i need it to be the Fourier transform as X(jw). Dont use this as s tranfer functions  I dont…

A: Let us go through the subpart (b) whose integral to be evaluated is .The graph of the function with…

Q: Find Laplace transform of the function f(t) cos(4t + 5) + e-tu(t – 6) + tcosh²4t

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

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

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Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: Prove that the Laplace Transform of sin(at)+at cos (at) is 2as? (s` +a°)* Please show your Solution…

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Q: Q3// Find the value of sin лz²+ сos лZ² $c dz (z-1)(z-2) Where C is a rectangular with vertices at…

A: As per the question first we have to evaluate a conture integral, then we have to find the laplace…

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha…

A: The solution is given as

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: 38. 1 2i + z

A: Given: The complex function, 12i+z.   To determine: The power series (about the origin) of the given…

Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: QI\Find the Laplace transform of 1)(3 + e6t,2 2) t2 et sin 4 t

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Q: 2. ts) Use the table of Laplace Transforms and 1st shifting theorem to find the Laplace transform of…

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Q: (a) sec¹ (31) √tan(3t) dt

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Q: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

Q: Q5) Find the Fourier transform of: SCos(nt/t) for lel < x(t)=D .elsewhere) Sketch X(f) versus f.On…

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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