Pregunta 6 3 Halle la transformada de Laplace de f(t) = t - 7 + Sin responder aun Oa. F(s)= 24 14 3. Puntaje de 10.00 3. O b. F(s) P Selalar con 24 14 3 bandera la 3. pregunta 24 OG F() 14 3 8+3 24 F(s): O d. 14 3 s+3

Q: lon of mtegradoM Sthe nte Shitch the and evaluate -2T -T

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Q: Determine L{5 – 3t + 4sin2t – 6e"} by using the Laplace table

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Q: 5. Determine the Laplace transform of tet sin? t using any methods introduced in the module.

A: Given ft=te4tsin2t

Q: Consider the data: (zo, f(xo)), (₁, f(x1)), (2, f(x₂)), (#3, f(#3))).\\ The Lagrange basis…

A: Lix=x-x0x-x1·..x-xi-1x-xi+1·...x-xnxi-x0xi-x1·..xi-xi-1xi-xi+1·...xi-xn∴Lixj=0     for i≠j1     for…

Q: a) Solve the initial value problem using Laplace transform IMUTM UTM UTM IM UTM TM UTML

A: First we take Laplace transform of given differential equation and solve.Then solve for inverse…

Q: 2. Determine whether the vectors v, are orthonormal. If not, normalize them to produce an…

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Q: Find the Laplace transform (3)

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Q: What is the Jacobi equation?

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Q: Match the vector field with its graph. F(x, y) = yi 5 5 -5+ サ

A: To match the given vector field to its graph, where given graphs are given below.

Q: flt) = Ualt) U, It) (t -3)2 + o uslt) sinzlt-s)

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Q: L{e2"sin2t + etcos3t}

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Q: +23

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Q: Compute the result of counterclockwise rotation of a vector a = absin (a) 81 ∞as 23 by an angle = ³.

A: If a vector v is rotated counterclockwise about the origin through an angle θ then the resultant…

Q: Flw) = Sinlw) e?Jw o.5W

A: Given function is: Fω=sinω0.5ωe-2jω or Fω=2sinωωe-2jω The standard inverse Fourier transform…

Q: The Laplace Transform of f(t) = t°e* is No- (3) (금) F(s): Select one: O True O False

A: Solution

Q: бу"" + 5у" + у'%3D0 У (0) %3D — 2, у' (0)%3 2, у" (0) 3D 0

A: We have 6y'''+5y''+y'=0 with initial conditions y0=-2, y'0=2, y''0=0 Now, apply Laplace transform on…

Q: Find the Laplace transform of h(t)=-tcos5t-3u(t-5)cost

A: Given: ht=-tcos5t-3ut-5cost We know, Lft=∫0∞ftdt ut-a=1   if t>a0   if t<a Ltnft=-1ndndsnLft…

Q: 4 f4* u lt - i) + (+1) u(t -)

A: Some of the properties of the Laplace transform   Lu(t-c)=e-cssLf(t)+g(t)=F(s)+G(s)L[af(t)]=aF(s)

Q: 6. La transformada de Laplace de la función f(t) = 3t² + 7

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Q: determine laplace of  L{5 - 3t + 4*sin(2t) - 6*exp(4t)}

A: We know for any function f , the Laplace transform f(t) denoted by L { f(t) } is defined by the…

Q: Find the Laplace Transform of the following: 1) 5t5 - 6t + 5

A: Given: 5t5-6t+5 To find the Laplace transform of the given expression L5t5-6t+5 The formula for the…

Q: Determine the Laplace transform of i) te s

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Q: 4. Determine whether the given vectors form a fundamental set on the interval (-0, 00). -()-. X1 =…

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Q: Obtain the Fourier expansin f I+ 9X în -3 LXLO 3 f(x) = %3D 3.

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Q: (Section 17.2) Find the work done by vector field F(x, y, z) = in moving a particle along curve C:…

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Q: find the Laplace transform of t²cos(wt)

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Q: What is the formula for the {nk} in the Newton basis?

A: We need to specify the formula for the {nk} in the Newton basis

Q: The inverse Laplace hransform F(s) = 31 + Inci2-s)-nc19-s) is of %3D

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Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64…

A: We need to find Laplace transform of sin8t+116π Here we will us the following formulas-…

Q: Find the modulus = (ii) -1+3i 2-7 O Locate the numbers Z,+7 and Z,=Zz Vectorially when : + bi) ž,-…

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Q: -et Cos wot Z a tj w 2 t Wo

A: We have to use Fourier transform formula.

Q: Find the divergence of the vector field F = div F = Calculator Check Answer

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Q: итаз серии ansform ? уч tay at ; усь) =y'0)=0

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Q: Calculate the laplace trans forms of the Pollowing Punction by using laplace txansform pains/…

A: (1) Given ft=10+7t. Consider                Lft=L10+7t=L10+L7t=10L1+7Lt We know that Laplace…