tet-t Find the inverse Laplace transform L{F(s)} of the function -8s F(s) = s2 + 6s – 16 | NOTE: Express the answer in terms of the unit step function uc(t) and t. 1. C가{F(s)} = 1 t e2t 10 -8t te 10

Q: (a) For n20 write out the first four terms of the sequence a(n) =(-3)" and then use the definition…

A: Given that, xn=-3n

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Q: Find the Laplace transform of the following: 1. f(t)= (14t)-3e-7t cos(8t) - (2t-6)²

A: Here given function ft=14t92-3e-7tcos8t-2t-62orft=14t92-3e-7tcos8t-4t2-36+24t Use the basic property…

Q: Determine the inverse Laplace transform of the function below. 3s2 + 5s + 5 s(s2 + 4s + 5)

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Q: -25 -35

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Q: Find the inverse Laplace transform of a (1+ s2 + a2 Cs le

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Q: G -) Find the inverse Laplace transform f(t) = ¹ {F(s)} of the function F(s) You may use h(t) for…

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Q: ind the Laplace transform and inverse Laplace transform for the given function (a) f(t)=41²-2e"…

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Q: The Fourier transform of some function f(x) is A(k) 1+46,6, where a is some real number whose…

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Q: s2 +8s 1. Find the inverse transforms of (s-1) (s-3)²

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: (b) Given f(t) = sinh(-4t)U(t – Jand g(t) = sinh(-4t) * U(t – ) where U(t – a) is the unit step…

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Q: (1 point) The graph of f(t) is given below: 10 = (Click on graph to enlarge) a. Represent f(t) using…

A: A graph of the function f(t). h To Find: a) ft b) Laplace transform Fs=Lft.

Q: x2 – 4 x2 - 9 Consider the function f (x) a) Find f' and f" and simplify both.

A: Given,           fx=x2-4x2-9

Q: 더 - C 1 -2s +6 s+2 82 - 4s + 8+1 C S-2 1

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Q: Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE:…

A: Given that Fs=e-2ss2+5s-50 We have to find the inverse Laplace transform of Fs that is L-1Fs For…

Q: We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the…

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Q: 21 4 39. (s + V2jª 40. s2 - 2s - 3

A: 39. Given  F(s) = 21s + 24       = 3!.213!s - -24 Apply laplace inverse both sides, we get L-1Fs =…

Q: H(s) = 1 s³ +bs² (use integral rule)

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Q: s²+6 (s²+1) (s²+4) Find the inverse laplace transform of using convolution theorem.

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-

Q: Find the inverse transform of the given functions: 7s-4 2. F(s) 3s + s2+3 4 -7 S 3 - - (s²+2s+10)

A: To solve given question first we rewrite the given function in standard form of inverse Laplace and…

Q: Find the inverse Laplace transform -¹{F(s)} of the function L-¹{F(s)} = F(s) = NOTE: Express the…

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Q: For the next items find the z transform of the following: (a) {cos(nt)} (b) {sin ()} () {co E} (c)…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: This question is about Laplace transformation.

Q: Solve the Inverse Laplace Transform 6 1 F(s) = ((25 + 3)² + = -) 0 ² e 5s 3

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We will find out the required value.

Q: Given the function y= -4sin(3x-45)+2, (a)state the mapping rule (b) state 5 critical points of the…

A: For the given function y= -4sin(3x-45)+2, we have to answer the following...

Q: Find the inverse transforms of the following functions: F(w) = 478(w) — j2/w + 4л8(w - 2)

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Q: Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) -¹ { £ + 720 } = S 86 f(t)…

A: we will use this formulae for finding th inverse laplace transformL-1{1s}=1L-1{1sn}=tn-1(n-1)! for…

Q: apia 11s? – 21s + 36 - F(s) s(s² + 9) S Your answer should be a function of t. L-\{F(s)} =

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