Q.2A) Find the Lapalce Transformation of the following: -3t dt 1. J. 2. sint dt 3. t'e-2tcost

Q: Find the Fourier transform of d(t – 2). (a) ej2w (b) e-j2w (c) ejw (d) d) e-jw O (d) Moving to…

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Q: f(t) = 3e7t - 3 cos(3t) + t?e-4t + 6.

A: Given  f(t) = 3e7t - 3cos(3t) + t2e-4t + 6    Results:  1) Laplace transformation is linear  2)…

Q: 1. Use Laplace transformation to solve the DE y"- 2x 3, y(0) = y' 0. %3D

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Q: Find the Jacobian of the transformation. x = 5e-2r sin(20), y= e²r cos(20) a(x, y) = alr, e)

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

Q: Obtain the inverse Laplace transforms of the following function 5(s+2) F(s) = (2+2s+1) 10 5texp…

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Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[3 sin(-3t) – 4 cosh(-4t)]

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Q: 6. Find the Laplace transformation of the following functions (b) f (t) = }e-15t + cos 8t

A: It is given that  ft=23e-15t+74cos 8t   Since we have, Le-at=1s+aLcos at=ss2+a2

Q: Use the Laplace transformation to solve the problem: x >0, t>0 %3D 2

A: In this question, we have to solve the Laplace equation by using Laplace transformation. the wave…

Q: f (t) = t5 e(1-t)

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Q: 1. solve the following different equation using Laplace transformation: dry dat -4 d2 +67 = 4€ 4t;…

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Q: Sketch f(t) and find the Laplace Transformation of the following functions. e2(1-s)n-1 1. f(t) =…

A: The given problem is to sketch the given periodic function and find the Laplace transformation of…

Q: 1. f(t) = (2e-4t + sin t)²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the given by using the Laplace transformation.   L[7t^4 + 4 cosh(2t) + 5e^3t + 2 sin(4t) ]

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Q: B- Find Laplace transformation for the following 1. f (t) = sin3t 5. g(t) = {(t %3D

A: Since you have sent multiple questions therefore according to our guidelines we can answer just one…

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: Sketch f(t) and find the Laplace Transformation of the following functions t, 0 < t < 1 i) f(t) =…

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Q: π od T = ¹. Ans: V a

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Q: Find the Laplace transformation of fles f(4)=t•cosh (t) (a) s²+2 (b) s²+\ (s²- 1) ² (c) St| (s?+)e…

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Q: 2. Sketch the function and write in terms of unit step function. Hence find the Laplace…

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Q: Lft etc ezt coth 3t dt 2t 8

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Q: Use the Laplace transformation to solve the following ODE: y''-y'-12y=2e2t, with y(0)=7, y'(0)=0.…

A: Given: The given ordinary differential equation is y''-y'-12y=2e2t with y(0)=7 ,y'0=0

Q: Solve the following IVP using Laplace Transformation 7. y' +2y =0, y(0) =1, y'(0) = 4

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Q: ) Solve the following initial value problem using Laplace transformation y" + 2y' + y = te-t, y(0) =…

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Q: у" + 4y' — 12у %3D —15е-3X У(0) %3 3 dan У'(0) — 9

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Q: (b) Express the following function in terms of unit step function and find its Laplace…

A: We have to solve given problems:

Q: Solve the following initial value problem using Laplace Transformation s yi = -2y1 + y2 [Y1 (0) = 2)…

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Q: . Show that d(w) cos(Kt). = π[d(w − K) + d(w + K)] is the Fourier transform of -

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Q: Solve the following equation using Laplace Transformation Method: dC + aC = B dt (C0) = C.) where a…

A: Take Laplace to both sides of the equation dCdt+αC=B and apply linearity property  .…

Q: 6. Find the Laplace transformation of the following functions: (a) f(t) = 2e-3t + 5t4 – 3 sin 2t

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Q: t2, 0 2

A: We have to find the Laplace transform of the given function.

Q: 1. Find the Laplace transformation of function f(t)= e-2t +sin(t-2) + t²e-3t

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Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: s+ 8 F(s) %3D s2 + 16s + 68

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Q: 6. Find the Laplace transformation of the following functions: (b) f(t) = e"(t? + cos 3t)

A: Given function; f(t) = e2t (t2 + cos3t)

Q: si t 4

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Q: Use the Laplace transformation to solve the problem: ou ou x >0, t >0

A: In this question, we use Laplace transform to solve the wave equation as uxx=uttwithI.C: u(x,0)=0…

Q: HW S Find the laplarce transformation of the following 3x +3y +5X = 25 Cost , X(0) = 2 2x'- 33 = 5…

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Q: - Find the Laplace transformation of the following: 1) (2t² – 1)2 2) cos³t 3) sinh³t Hint: sinh?t =…

A: We need to find the Laplace transform of the given functions. Part(a) Now, we have 2t2-12 Using the…

Q: Solve the following DE by using Laplace Transformation: y(t) – 2y(t) – 15y(t) = cosh (t), y(0) = 1,…

A: As per Bartleby guidelines I can solve only one question. Please repost other question.

Q: Find Laplace transform: f(t) = 12 + 2cos(5t) + t*cos(5t)

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Q: Find the Laplace transformation of the following: 1) (2t2 – 1)2 2) cos³t 3) sinh³t Hint: sinh?t =…

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Q: Determine the following Laplace transforms: i) L cosh at) i) -35+9 iii) Ls +5 7-23+1 2s+1 iv) Ls+…

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Q: Find the laplace transformation of the following 3x' +34 + 5X = 25 Cost X(0) = 2 ノ 2x` - 33' = 5…

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Q: Solve the De as follows via Laplace transformations: y"- (14/3)y"- (55/3)y' + 14y 0; y(0) = -1,…

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Q: 3s+7 Find f (t) if F(s) using Laplace inverse transformation %3D s2-2s-3'

A: First we take partially factor then taking laplace inverse.  L(eat ) =1/(s-a)

Q: Find the Laplace transform of a) f(t) = 3e-2t + 2 cos(t) – 5t3/2 13. b) f(t) = t*e3t %3D

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Q: Find the laplace transformation of the following function :- f(t) = Sint + i (il 000 1 f(t) = f(t) =…

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Q: Find the Laplace transform of 0 2 (t – 6)² + 2 cos

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Q: Sketch f(t) and find the Laplace Transformation of the following periodic functions t, 0 f(t) =…

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Q: Show that the Laplace Transform of Cosh(wt) %3D s2-w?

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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.