Find the inverse Laplace transform of the given function. 21 F (s) = (s-2)

Q: determine the inverse Laplace transform s2 + 12 x(s) : %3| s (s + 2) (s + 3)

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Q: Q1: Find inverse Laplace transform of the following functions 10-4s 5) F (s) = (s-2)2

A: We can solve using first shifting theorem amd partial fraction

Q: (b) Find the Inverse Laplace transform of the function. G (s) s-7 s² + s-6 =

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Q: 1 Find the inverse Laplace transform of by completing the square. s? +2s +4

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Q: Find the inverse Laplace transform of s2 + 12 s² ( s² – 4 ) F(x)

A: To find the Inverse Laplace transform of F(x)=s2+12s2(s2-4)

Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

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Q: Part II. Find the Inverse Laplace Transform of the following: 8s2-4s+12 1. F (s) s3 +4s

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Q: Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

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Q: 8. Find the inverse Laplace transform of the given function: 8s +7 F(s) = s2 +8s + 20

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Q: - s + 21 Find the inverse Laplace transform of F(s) s2 – 7s + 6 f(t) = Submit Question

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: Find the inverse laplace transform of the followin function FIS) = l0-4s (S-23

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Q: S. Find the Inverse Laplace transform of : b) (s2+a²)(s²+b²)’ a? + b? , ab + 0

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Q: 2e-2s 22. F(s) = s2 – 4

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Q: s - 9 25 – 500s6 s2 + 64 s7

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Q: 6. Find the inverse Laplace transform of the function (8² – a²)(as + b) (s² + a²)(s² + B²)' I(s)

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Q: Using the inverse Laplace Transform, we have 1 2 4t e L-1 I (s – 4)3

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Q: s2+1 Find the inverse Laplace transform of F(s) = lIn (s-1)²

A: Given that  Fs=lns2+1s−12 We have to find the inverse Laplace transform of Fs=lns2+1s−12 Use…

Q: 1- 2e+ e-25 F(s) 2

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Q: ds" Evaluate the given Laplace transform. (Write your answer as a function of s.) L{te-15t}

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Q: Q.2) Find the inverse Laplace transform of 26 - s2 a) s(s? + 4s + 13)

A: Answer

Q: e-9s F(s) = g2 – 3s – 10 ||

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Q: 2. Y(s) = /(2s – 3)5 %3D

A: Inverse Laplace transform

Q: Find the Inverse Laplace transform of: 5s-2 а) s?(s+2)(s-1)

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Q: Find the inverse Laplace transform of (s²+s+2)(s+4)*

A: We need to find the inverse Laplace transform of ss2+s+2s+4. So,…

Q: L{t - e3t} Do the laplace transform?

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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: Determine the inverse Laplace transform of the function below. e -45(-2s + 12) (s+6)(s+2)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: find the inverse Laplace transform of the given function. 13.F(s)=3!(s−2)4

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Q: 5 s2+ 3 s2 –8

A: Let's find.

Q: II B Find the Inverse Laplace Transform of the following function 10-4s F(s)=- (s– 2)²

A: Given the function

Q: 5. Find the Inverse Laplace Transform of -25 S+4 e s? +25-8

A: Solution:

Q: Q2\ Find the inverse Laplace Transform of the function in figure below (s² + 6s + 7 L-1 s2 + 3s + 2

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

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Q: Q5:- A. Find the Inverse Laplace Transform of the following functions 1. F(s) = S³+3s²-s-3…

A: First I have made the partial fraction of F(s) and then by taking inverse Laplace transform and…

Q: Q1: Find inverse Laplace transform of the following functions 10-4s 5) F (s) (s-2)2

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Q: Q3): Find the Laplace transform of (u²-u+e") du.

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Q: determine the inverse Laplace transform of the given function. 6 s2 + 25

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Q: -2s + e F(S) = 1- 2e (s² + 4) (s)

A: Solution is given in the form of hand-written note.

Q: Let a > 0 be a real parameter. Find the inverse Laplace transform of e(-as) s2 + 4s + 5

A: The given Laplace function is: Fs=e-ass2+4s+5 This can be written as:…

Q: (c) Find the Inverse Laplace transform of the function. 1 s² + s-5 H (s) = (s−2)² +3 s (s² + 2s + 5)…

A: Given H(s)=1(s-2)2+3+s2+s-5s(s2+2s+5)To find Inverse Laplace Transform.

Q: 6. Find the inverse Laplace transform of the function I(s) = (3² − a²) (as + b) (s² + a²) (s² + ß²)…

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Q: -2 -5 5S f (t) = L-1, {-5 -3 + S2-9.5 S+2 S²+5-

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Q: Determine the inverse Laplace transform of the function below. s-7 3s + s + 15

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Q: 1) Find the Inverse Laplace Transform of the given function. 3s? – 3s +8 - (s² + 4Xs – 3)

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Q: 6. Find the inverse Laplace transform of the following functions (s+1)e a) F(a) = (s – 1) 8-5 b)…

A: Given:

Q: Q.2. Find the Inverse Laplace Transform of: 96 a) (s²+4)² 8e-3s b)- s2 (s2-4)

A: Use convolution in first problem.

Q: Q.2. Find the Inverse Laplace Transform of: 96 a) (s²+4)² 8e-3s b)- s2(s²-4)

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Q: 2. Find the inverse Laplace transform of the given functions: s - 6 (s – 3)² – 9 F(s) =

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Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.