2s – 5 Find the inverse Laplace transform of F(s) s2 – 36 7 17 O f1)= -e 12 = 12 7 17 61 f(1): -61 -e 12 + -e - - 12 7 17 ,61 f(t) : 12 - 12 17 + 12 7 f(t) 12 17 -61 -e 7 f(t) : + 12 12

Q: (2) Apply inverse Laplace transform and find f(t) of the following: 6(5+3) S (5+1) (5+2) a) F(s) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: 2 F(s) 4 e-2s + s2 3 e-s s2 a) Find the inverse transform of F (s) b) Sketch the graph of f(t) c)…

A: (a) Given that Fs=2s-3 e-ss2+4 e-2ss2 Applying inverse Laplace transform on both sides L-1Fs=L-12s-3…

Q: ( ²-² + ² ) ✓ = 15² (8 ( ² + ² ) . ( ²/² + ²² ) ₂²² = ( − 15_³ = (5 55-³=1 (²-4), ( - ) ² = (

A: Topic:- Laplace 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: QUESTION 2 a) b) Use the properties of inverse Laplace transform to find: es +s+1 s²+2s-17 i) ii)…

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Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace…

Q: 7s2 – 3s + 26 F(s) (8 – 1)(s² + 9)

A: Explanation of the solution is given below...

Q: - 3s2 + 21s 42 Find the inverse Laplace transform of F(s) : (s – 3)3 -

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Q: 6s + 33 Find the inverse Laplace transform of F(s) s2 + 9s + 18 f(t) =

A: We will find out the inverse Laplace transform.

Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: 1 1 1 1 1 (z + 1)(z + 3) z +4 (z + 1)(z + 3) 1 1 2 z + 1 2 z + 3 3 1 1 1 2 z + 1 2 z +3' 1 1 1 1 +…

A: By using partial fraction method we solve the required problem as follows :

Q: 2) Find the inverse Laplace transform of -2= 2(s+1)e 4e (s+1)² +16 -45 S+5

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Q: 8-1 Find the inverse Laplace transform, y (t), of L-'[ using the first shift theorem: 282+5s+2 If…

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