Find the inverse Laplace transform of F (s) 4 F(s) = s²+12 s+52 a. f(t) = e-6 (6 sen(4 t)+cos(4 t) b. f(t) = e-6'cos(4 f) c. f(t) = e-6'sen(4 t) d. f(t) = e cos(4 t)

Q: Inverse Laplace transform of (a) e cos 2t+4e* sin2t (b) e cos2t-4e* sin2t (c) 4e cos2t-e* sin 2t (d)…

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Q: 36 3€ Find the laploce transform of f'(E) = e^†cos (6t) - e cos (Gt)

A: To find the laplace transform of ft=e3t+cos6t-e3t cos6t.

Q: What is the inverse transform of F(s) = In (s'/Vs2 +4s +5}

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Q: 2) f(t) = 4t3 sin %3D

A: we have to find Laplace transform

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=2.

A: The objective of this question is to solve the given differential equation dx/dt + 3x = e^-2t using…

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 the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

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Q: Find r'(t). 13 r(t) = 3 cos (t)i + 5 sin (t)j + k %3D r'(t) %3D

A: Given:

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: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

A:

Q: Inverse Laplace Transform F(s) = (5(s + 5))/(s(s + 2)(s ^ 2 + 2s + 10))

A: We have to find the inverse Laplace transform of the function . Forthis, we have to write the…

Q: 70. Which of the following. is the inverse Laplace transfor B (B^2-9)/(s^2+9)^2 ? A. cos (3t)+3t…

A: The given expression for the inverse Laplace transform is:The objective is to determine which of the…

Q: Find F(s). F(s) = L(1 et + 3e-4t) cos(2t)} -

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Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

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: 1. Find the equation of a line perpendicular to y = 1 through A(-1, 1).

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Q: 6s – 5 Find the Inverse Laplace Transform of F (s) s2+7 5 f (t) = 6cos(/7t). -sin(/77) _cos(/7 ) 5 B…

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Q: Part A how that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: Hi, It is multiple sub-parts, I am going to solve the first part only.

Q: Solve for the Laplace transform of sint sin 2t cos t

A: The given function is f(t)=sin t sin2t cost  rewrite the function as  f(t)=122sin t cost sin2t…

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Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 {…

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Q: 5 The inverse Laplace transform of F(s) = 5² - 2s+5 1 f(t) = 5e²¹ sin 2t f(t) = 5e¹ sin 2t 5 f(t) =…

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Q: Use the Comparison & Alternating Tests to determine whether or not the following series converges.…

A: Alternating Series test:- A series of the form ∑n=1∞-1n un, is called Alternating Series, converges…

Q: Example Find the Fourier transform of the rectangular pulse duration T and amplitude A T T SC) = 4…

A: The given problem is to find the Fourier transform for the given rectangular pulse function.

Q: Part A) How that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: The problem is related with Laplace transform.  First in part (A), we have to show that Ltnyt =…

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

A: The objective of this question is to solve the given differential equation dx/dt + 3x = e^-2t using…

Q: Find the Laplace transform of f (x) = e* sin2x %3D

A: Let us consider a function f(t) then the Laplace transform of f(t) is given as L[f(t)]=F(s) Some of…

Q: 3. Let f(x)= :/ arcsin(t) dt and g(x)= / arccos(t) dt. 0. 0. I f'(x) g' (x) dx =? 4 - T (a) 2 - T…

A: Given Applying derivative with respect to x: Similarly: