balue for the Inverse Laplace of @ F (s) = 5² (5²+1)

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

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Q: Determine the laplace of the following functions. 1. f(t)=[sin(2t)]^2 2. f(t)=e^(5t)(t^3) 3. f(t)…

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Q: H(s) = 13s² + 46s + 133 (s + 1)² (s² + 6s +25)

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Q: se-2s c) F(s) (3s+4)(s-1)

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Q: How would we calculate the inverse Laplace of    6s/(s²+9)²

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Q: Use Green's Thoerem to evaluate F dr. where F(r, y) = (-3Vx² + 2, 7 tan '(x)) and C is the triangle…

A: We have to evaluate by Green's theorem.

Q: Find the inverse Laplace of the given function: (s-7)/(s^2+2s+5)

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Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

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Q: f(x,y) = arctan(2x-3y)+ Find the domain and sketch it. In(x^2 +2x+y^2).

A: To find the domain of the function f(x, y), we need to consider the values of x and y that make the…

Q: 16. F(s) +

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Q: Let f(z, y) — (-(г + ))5. Then | 20(-(x+y))^3 dzðy dzðydz dz²dy

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Q: Find inverse laplace trans Sorm -25 FES)= e S(s +4)

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Q: se-2s -)=D 's²+45+3

A: Given,

Q: integral f t^3 In t dt

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Q: Fied da のーーnfx+(2x +1 tar JE XーVEx+! 1-X

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Q: Find the L^-1 iNVERSE LAPLACE f.) F(S) = 6s/s^2+25 + 3/s^2+25

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Q: Laplace of t^2 using integration by parts twice

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Q: Xexs is The Laplace inverse of s2+4x? O a. sin(2x(t-1)) 5(r-x)dr 0.

A: Let f(t)=L-1xs2+(2x)2           =x L-11s2+(2x)2          =x.12 sin(2xt) ∵L-11s2+a2=1asin(at)…

Q: Laplace Transformation f(t) = t^3 sint f(t) = ( 1 + cosht) ^ 2 f(t) = sin ^ 2 ( t + π ) f(t) =…

A: Ans:Givenf(t)=t3sintThenLf(t)=?we  know  that Ltng(t)=(-1)ndndSnG(S),where G(S)=Lg(t)----(1)Here…

Q: Find the guneral antiderivative of the funchion. (check your answar answer by differentiation.) 14)…

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Q: Q(s) = 5s³-28s2 +658+8 (s2+4) (s²-6s+13)

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Q: 1 F(5) = (s?+1) (s?+4s +8)

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Q: OLif f(x, y,z)=2exp(-5xyz)cos(15z) Find

A: Partial derivatives

Q: Find the work done for a force F=36/x^2 N from x =1 to x=6 m.

A: The objective of this question is to calculate the work done by a force that varies with position.…

Q: find fsub(x), fsub(y), and fsub(z): f(x,y,z)=e^yz+sinx)

A: Given,          fx,y,z=eyz+sinx

Q: 2а +3 V (2²+3x–7)"

A: We solve the given integral by suitable substitution. We substitute x2+3x-7=u.

Q: y"+2+y=e^5t y(0)=0 У (0)-5

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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: + Find the maximum value of isu = Sinn Siny Sincnty) U

A: The given problem is to find the maximum value of the given function u=sin(x)sin(y)sin(x+y).

Q: 4. Find L-1 2s-3 s2-3s+2] 3s 5. Find the Inverse Laplace of· s2+4

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Q: I 0. มิ Use Convolution to solve inverse function: (-) laplace of a จ

A: Given : L-11s3s-1 To Find : Inverse Laplace Transform

Q: laplace(u(t-2)sin(t-2) )

A: laplace(u(t-2)sin(t-2) ) = e-2ss2+1

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: (~T+ F) (FAT): uthValue

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Q: prove that | Sinsy | dy лу ∞

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Q: if y³ - y = 2x Then, d'y -24y prove that dx (3y -1) |

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