Find the inverse Laplace transforms a. F(s) 5(s+2) s2 (s+1)(s+3) 1 b. F(s) s(s²+w²) s² +2s+3 c. F(s)= (s+1)3 1 d. F(s): s(s²+s+1)|

Q: L-¹ s+2 2s²+4s+ 7

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Q: f(t) = t cos 4t 8s 8s А. (s2-16)2 C. (s2+16)2 s2 +16 В. (s² –16)² s2-16 D. (s2+16)2

A: We have to find the Laplace transformation of ft=tcos4t

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

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 functions: 4s2 -4s+1 1. F(s) = (s3-4s2 +s+6)(s²+5) 3s-6 5s…

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Q: Find the inverse Laplace Transform of: 11 5s 3 1 F(s) s2 + 3 s2 + 9' 5s – 7 s4

A: Use the formulas below to calculate the inverse Laplace transform.

Q: *(:) - E 2x2 Let the transformation T be given by T and v = U2 3 Let u = V2 X (a) Find T (u + v).…

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Q: Find the inverse Laplace transform of F(s) f(t) = | = -2s + 22 s² - 2s - 24

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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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: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: c) By using Convolution Theorem, find the inverse transform of UTM F(s) = (s – 1)(s² + 1)*

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Q: Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A…

A: Given :  A.TA=A+I3B. TA=9AC. T(A)=A2 To Check : Given transformation is linear Note : As per policy…

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: t3 - 3t2 + 5t – 8

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Q: 1 +2)(s+3) _00(s+2) =²+4)(s+1) 1

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Q: Find the inverse Laplace transforms of 1 F(s): s2 - 8s + 15 1 F(s)= %3D s2 - 8s + 16 1 F(s): %3D s2…

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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: 9-12s-4s2 C. (s2+4)2 +12s-2s2 (s2+4)2 9+12s-4s? D. (s2+4)3 -12s-2s? (s2+4)3

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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: Find the inverse laplace transform of : -S -2s 1– 2e + e F(S) = (6? + 4) (s)

A: To Find the inverse Laplace Transform of given Problem first we will use the linearity property then…

Q: 2s2 – 3s + 5 - Find the inverse Laplace transform for s2 (s2 + 1)

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Q: B- Find Inverse Laplace transform of the following functions F(s)= 2s-7 (s+ 6)(s² + 4) G(s) = s(s² +…

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

A: Use the Laplace table.

Q: Find the Laplace Transform of f(t) = t e2t sin3t 6(s+2) F (s) ( (s+2) ² – 9) 2 A %3D 6(s– 2) F (s) =…

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Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

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