Find the Laplace Transform of f(t) = 1³ if 1

Q: Find the Laplace transform for 1) (a) f(t) = t cosh 2t. (b) f(t) = e-4 cos 2t.

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Q: Find the Laplace Transform of f(t) = t² when t > 0.

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Q: F(s) = s2 +2s+5

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Q: Find the Laplace transform of: f (t) = t3 – 8t2 + 1 -

A: Topic  = Laplace transform

Q: Find the Laplace Transform of f(t) = cos t u(t-1)

A: The given function is f (t) = cos (t) u (t – 1):   Find the Laplace transform of the given function.…

Q: determine the inverse Laplace transform of F.

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Q: f(t)=(3t + 4)(t² - 1)

A: Using standard formula & rules of Laplace transform.

Q: Find x(t) and Y(t) using Laplace transform.

A: The given pair of equations dxdt=2x-3ydydt=y-2xx0=8, y0=3

Q: Find the Inverse Laplace Transform of F(s) = s+2 / s2+2s+5

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Q: 10s3+1 1. F(s) %3D s2+6s+5

A: The inverse Laplace transformation transforms a function in s of a complex variable to a real-valued…

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

A: The given function is Fs=1s+1s2-1 OR Fs=1s+1s+1s-1 To find the inverse Laplace transform of the…

Q: determine the inverse Laplace transform of F.

A: Given:

Q: 4 The Laplace transform of f (t) = {*. 0st<2 is: t2 2

A: We have to use Laplace transform integration.

Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Find the Laplace transform of f (t) = cos²(3t).

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Q: Find the Laplace transform of the functions of t:   f(t) = e4t cos (3t)

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Q: 5. x(t) = 5 – 2t

A: Given function is x(t) = 5 - 2t

Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

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Q: The Laplace transform of f(t) = (2t - 1)2 is

A: Given that f(t) = (2t-1)2 we find its Laplace transform. Here i attached solution of this question.

Q: What would be the laplace transform of a function of f or L{f(t)}?

A: Given: What would be the Laplace transform of a function of f or L{f(t)}?

Q: The Laplace transform of f(t) - t U(t - 3) is:

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Q: F(s) s2 s-2 3. 5.

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Q: Solve for the function f(t) of the Laplace transform. S-1 F(s) (s+1)(s²+4)

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Q: Solve the Laplace Transform of the equation f(t)= te²ᵗsint

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Q: f(t) = tg'(t)

A: The solution is given as

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: d.-tte-6c 3

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Q: 2. x(t) = e5t + cos 3t %3D

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Q: Derive the laplace transform for f(t)= 3 e-St

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Q: Solve the Laplace transform of (1+e-t)2

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Q: What is the Laplace transform of the function f(t)=(2t−1)³?

A: We have to find the Laplace transform of the function f(t)=(2t−1)3.

Q: What is the Laplace transform of the function  f(t)=(2t−1)3f(t)=(2t−1)3?

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Q: The Laplace transform of f (t) 0 <t< 2 is: t2 2

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Q: If f (t) = ) = CoS ( 4t what is 6 the laplace transform of f (t) ?

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Q: Find the INVERSE Laplace transform F(s) = s / (s^2 + s -2)

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Q: find the Laplace transform of f (t). f(t)=(e^3t-1)/t

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Q: f (t) = cos2

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Q: find the Laplace transform of g(t)= (1-e^t)/t

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Q: Q1/ Find the Laplace transform of 1- f (t) = t² e cos 3t -2 x

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Q: Determine the Laplace transform of the function f(t) = (t + 2)².

A: We need to determine the Laplace transform of the function: ft=t+22.

Q: Find the Laplace Transform of the function f(t) = 1

A: Here given  f(t)=1

Q: y' = et ; y(0) = 2

A: Given y' = et ; y(0) = 2 As L{y′} = sY(s) − y(0)

Q: e2 (t² – 3t + 2)

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Q: Find the Inverse Laplace Transform of F(s) = 1 / s (s2+25)

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Q: The Laplace transform of f (t) = {", 0<t< 2 is: t2 2

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Q: Find the laplace transform of f(t) = e^t3

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Q: Find the Laplace transform of f(t) = e='(t² + 3t + 4)

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Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…

Q: Obtain the Laplace transform of t2 + 4t - 5.

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Q: Find the Laplace transform of the function f(t) = (1+e2")² –- 1

A: Simplify the function.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.