Sub: Date: Find Laplace Trans forner

Q: Find the laplace of  f(t) = cos(root2)t + sin (3t)

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Q: Find the tangent of KJ. E H G tan (J)

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Q: dr Let A be the area of a circle with radius r. If dt dA = 2, find dt when r = 5.

A: Given :drdt=2r=5

Q: What is the laplace trasform of f(t)= (e^-4t)cosh4t

A: Laplace transformation is the integral transformation that converts a function of real variable to a…

Q: E(x?) is called the second moment about orgin

A: Given statement, EX2 is called the 2nd moment about origin.

Q: Find the exact arc length of the curve y =2V on the interval [0,11]. 70 +60 +50 +40 +30 +20

A: The objective of the question is determine the arc length of the given curve.

Q: d'y Find for dr? y = cot(x) dy %3D dx?

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Q: Find the Laplace Tranforms of the following functions. 4. et sinh 5t 5. e2t cosh t

A: Topic :- Laplace transform

Q: Ss Wlith the aid of Laplace Trans Ferm, solve tLe initial Nalue problon = coscts

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Q: gment JK and segment HK are tangents to rcle G. J

A: Given that:

Q: Laplace's equation reads vo = 0 %3D True False

A: The partial differential equation ∇2ϕ=0 is known as a Laplace's equation.Then ϕ is called harmonic…

Q: S If y = arcsin(e?z), dy dr w

A: Solution is here

Q: find the radius of curvature of the logarithmic spiral r = ae θ

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Q: nd the Laplace

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Q: Use Laplace Tranformation to solve the IVP.  y'+y=tsint  y(0)=0

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Q: Y 59° Z. 138°

A: See attached file for a step by step explanation to find required arc XY.

Q: Draw the graph, expres in unit sty and find the laplace. f4) : t-4 t 72

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Q: of Use the definiion Çaplace to determine the fessz e

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Q: Find the length s of t s (arc length) =

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Q: Parametrize the following curve: y = tan−1(x2 + 1)

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Q: ースト +y-e"snt yo)=o and yo-o solve wih Laplace's mekod for 2.

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Q: Find the radius of curvature of the following functions

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Q: Solve the Laplace equation for a rectangular plate subject to the fol- lowing boundary conditions

A: Given: To solve the given Laplace equation for a rectangle plate subjected to the following boundary…

Q: 140 W

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Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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Q: trans, Fnd the laplace tansfam of fit) the oct<I

A: To find the Laplace transform of the below function. ft=t/τ          0&lt;t&lt;τ1             t&gt;τ

Q: бино атен МЯЯ АК ТЯТ my 1 44 И st 2р пр Б

A: We find equation of the given graph in heaviside unit step function notation.

Q: Calculate Find the arc length of r(t) = (t³ + 2,4t³ + 6), 0≤ t ≤1

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Q: r)=(2 costia Sinst> for 6stE

A: It is given that rt=2cos3t,2sin3t differentiate w. r. t. t to get: r't=-6cos2tsint,6sin2tcost The…

Q: What is the Laplace tranform of (e4t - e13t)/(6t)

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Q: Find the arclength of y = 2x? +1 on 0 < x < 4

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Q: Find the Laplace flt)= 3t. - 5°cos 3t

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Q: Find (cost using Laplace find [[ sint] using Laplace

A: Here we can use following formula of Laplace transform 1. Lcosat=ss2+a22. Lsinat=as2+a23. Lftt=∫s∞Fs…

Q: the of the curve d:laaR? Find detined by is čonstant. 870 Curiature a(t) =|1 Cost, 1 sint, o where…

A: A vector is a quantity that has both magnitude and direction. In general vectors are represented as…

Q: Find the unit tangent vector T and the curvature k for the following parameterized curve:

A: the given curve:r(t)=9 cost , 9 sin t ,3tfirstly, differentiate the given functionr'(t)=-9sint , 9…

Q: Find the Laplace Trans Form 4) f(1)=t sinh(at)

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Q: d) L{e f, sin dr}

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Q: S2 S1 - R1– -R2-

A: We have to find arc length of S1.

Q: let rit)= demti+ dsintf+? Find the length of this curve from t=0 to t = 4.

A: we have to find the length of the curve

Q: 册 6 a 20 39 + 49 t 好 664 下

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Q: Determine L{te2} by using the Laplace table. Hint: Use the frequency shift theorem

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Q: pund axdy of e?- ysinx = 5-t Maing my licit differenti ation

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Q: Find the Laplace trans farm Fis) = 4 (5+4)²

A: Given

Q: guen that the te kt is t Cs) :! laplace trangorm derive tho StK? Caplace transqorm using the…

A: It is given that Laplace transformation of te-kt is F(s)=1(s+k)2

Q: find F(s)    Laplace {t2 sinht}

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Q: f(4) ㅇ 20 39 49 ZA Sa t

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Q: Find L cosat by wing the methal

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Q: find Laploce trans form of function f (t) =t et (Sinh 3t - 7t )

A: Given below the answer in detail

Q: Find the tangent of ZH. J 4 H. 3-/6 Write your answer as an integer or as a decimal rounded to the…

A: Given triangle HJI

Q: From the Laplace table, determine F(s). 6. f(t) = sin 7t cos 2t (Hint: Use trigo identity first)

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