Find the Laplace transform of these functions: (a) e¯† cos t (b) e-" sin(rt) (c) e¯† sin(wt + y) (d) cosh(at) cos(bt)

Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

Q: Find the Fourier Sine Transform of e-t and hence find the Fourier Cosine Transform of te-t.

A: Fourier sine transform of e-t is ∫0∞e-tsinωtdt. Calculate it:  ∫0∞e-tsinωtdt=∫0∞e-teiωt-e-iωt2idt…

Q: Find Fourier cosine transform of and deduce that - bx -e cos pr di - kog log P+ b? p + a e 1

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Q: The Laplace transform of L(sin5t) is

A: We will use the definition of laplace transform to find the laplace transform of L(sin5t). Laplace…

Q: DEFINITION

A: We will find the Laplaces Transform.

Q: Determine the Laplace Transform of sin³3t

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Q: Use the definition of Laplace transform and Euler's formula to find the Laplace transform of cos t…

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Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

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Q: e> and deduce that Find Fourier sine transform of- ar e bx e | sin px dx = Tan2 - Tan a

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Q: Find the Fourier transform of S (x) =!-\,| sin x dx Hence evaluate

A: Given,    f(x)= 1-x, x≤10        , x&gt;1

Q: Solve the laplace transform Z(cos (at)sinh(at)

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Q: sin mt dt 2 b) By using the Laplace transform show that L

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Q: Find the laplace transform of et

A: See the attachment

Q: (1- cos 2wt) where w is a positive constant WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: i) Find the Fourier sine transform of (sinx, 0a f(x) = %3D

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: Calculate the Laplace transform of the following functions: (4.1) ť sint.

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Q: L (sin't}

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Q: /Find the Laplace Transform 3-f (t) = sint cos t %3D

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Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: Find the Laplace transform of e3t sin22t.

A: Find the laplace transform of e3t sin22t

Q: Laplace transform of f(t)=te^(at)

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Q: . Find Fourier cosine transform of - and deduce that 2. bx e 1 e V2m log р ға cos px dx

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Q: Using the long method, derive the Laplace transform of the following functions. Show your complete…

A: We will use Laplace transformation formula  L(f(t))=∫0∞f(t) e-st dt

Q: Find the Fourier transform of f(x) = sin x. In what sense does the Fourier transform exist?

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Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Prove that the Laplace Transform of sin(at)+at cos (at) is 2as? (s` +a°)* Please show your Solution…

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Q: 3ヒ Sinh-

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Q: Determine the Laplace Transform of cos(2/3t) cos (V31) Note:

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Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: Find the Laplace transform of sin t cos t

A: Given f(t) = sin t cos t = 2sintcost2 = sin(2t)2

Q: Find the sine Fourier transform for f (x) = sin æ, x < 0,

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Q: Determine the Laplace transform of L(t sin 3t)

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Q: Find the Laplace transform of f (x) = 3 sin 3x – 2e-2x

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Q: Solve for the Laplace transform of sint sin 2t cos t

A: The given function is f(t)=sin t sin2t cost  rewrite the function as  f(t)=122sin t cost sin2t…

Q: Show how to do the Laplace transform of f(t) = t*cos(w*t) using the table of operational transforms.

A: Given  f(t) =t cos ω t

Q: Determine the Laplace transform of L(sinh 5t * cos t)

A: Explanation of the answer is as follows

Q: Find the Laplace transform of f (x) = 4 sin x + 6 cos 2x

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Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: Find the Laplace transform of sinht - cosht.

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Q: VE cos(3f). find the Laplace transform of %3D

A: Laplace transformation is a method used for obtaining the solution of a complex differential…

Q: Find Fourier cosine transform of: and deduce that - ax -e p²+ b? 1 log P+ /2T cos px dx = 2 p +a

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Q: What is the Laplace transform of 8'? 1 se sin s Cos s

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Q: The Laplace transform of L(sin7t) is

A: We have to find Laplace transform of…

Q: Find the Laplace transform of f (x) = e* sin2x %3D

A: Let us consider a function f(t) then the Laplace transform of f(t) is given as L[f(t)]=F(s) Some of…

Q: laplace (sinh“(3t)) ..

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Q: Find the Laplace transform of 1. f(t) = sin(4t +) %3D

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Q: How many poles does the Laplace transform of y" – y = cos(2t) have, where y(0) = 0and y' (0) = 1?…

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Q: Solve for the inverse Laplace transform of O 4cos at - 3 sin at 4 sin at – 3 cos at 3cos at - 4 sin…

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1ss2+a2=cosatL-1as2+a2=sin(at)

Q: transform

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.