Evaluate the Inverse Laplace Transform: 4s-2 F(s) = s2 –6s+18 O f(t) = 4e* (cos 3t – sin 3t) - O f(t) = 4e¬3* (cos 3t – sin 3t) - 4e-3t (sin 3t – cos 3t) COS 6. O f(t) = 4e* (sin 3t – cos 3t) COS -

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

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

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Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: Find the inverse transform of the given function of s. e-35 s s²+4 u,(t)cos2(r– 3) A ® (1-u,(1))…

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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: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

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: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

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: What is the Fourier transform of the following e-j10ntx(t)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-jktf(t)dt,…

Q: • Let: X₁ (jw) = 2nd(w) + nd(w − 4ñ) + ñ8(w + 4π) • Use the inverse Fourier Transform to find x₁(t)…

A: Introduction: Like other integral transformation, Fourier transformation has also its inverse. In…

Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

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Q: f(d) = 2e+d[2 sin(4d) cos(2d) – 2 sin(2d) cos(4d)]

A: The given problem is to find the Laplace transform of the given function, we can use basic…

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: Find Fourier transform for : A) f(t) = e-3t cos² (3t) B) f(t) = te tu(t - 3)

A: (A)Given f(t)=e−3tcos2⁡(3t).Now, we'll find the Fourier transforms for individual terms.The Fourier…

Q: -2sin4t Determine the Laplace transform of the equation f (x) = 2 e´ 10 A s²+4s+20 8 B s²+4s+ 20 20…

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Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: Use the table of Laplace transforms to find the Laplace transform of f(t) = 3t° – 6 cosh(11t) %3D…

A: The given function is f(t)=3t6-6cosh11t       Formula Used-   ℒtn=n!sn+1 ℒcosh at=ss2-a2

Q: f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b.…

A: We need to find the Laplace transform of ft=cos 5t-3t2 That is we need to find Lcos 5t-3t2 Now,…

Q: Determine the inverse Z-transform of X(z) Select one: akt xk = = (-2j) sin( 2 (2a)k-1 sin (47) 2 xk…

A: Inverse Z transform of the function

Q: XP+2ap +2a') ple 23: Find the inverse Fourier sine transform f(x) of F, (P- ap

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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: Let ft) be the inverse Laplace transform of 7s2 + 9s + 30 F(s) = (s2 + 4s + 5)(s – 5)" What is…

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Q: Find the Fourier transform of the rectangular pulse: f(t) = 1 -T≤t≤T 2 0 ->t>T

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Q: 2. Find the Fourier transform of f(t) defined by: -5. -T st<0 0<tST 0 Elsewhere f() = 5. where T is…

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Q: s+4 (d) s' + 2s + 5

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