Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 { f(t) = L-1 s2 + 36 )

Q: Identify the inverse Laplace transform of the function Multiple Choice O(e+te+e-4¹) u(t) O O (½ e²¹…

A: 1)L-11s+a=e-at2) L-1F(s+a)=e-at.L-1F(s)

Q: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x…

Q: The Laplace transform of f(t) = t²est then the Laplace transform of f(t) is: None of them 2/(s^3…

A: Given functionFormula

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

A:

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

A:

Q: Find Fourier transform for f(t)=t^3-2t

A: Given function f(t)=t3-2t. To find Fourier transform of f(t). By property of Fourier transform,…

Q: What is the Laplace Transform of f(t)=Dv((1-cos(8t))/2)? O s/(s^2+16) O 4/(s^2+16) O 4/(s^2-16)…

A:

Q: Expand f(z) =1/z2 in power of z+1

A: The given problem is related with Taylor series expansion of a function. Given that,…

Q: Determine The Fourier transform of the following function (2 |t| t/2 f(t) =

A: Fourier transformation of the function f(t): Fourier transformation of the function f(t) is given…

Q: F(s)= (s +1)es» s²(s + 2) -5s

A:

Q: Inverse Laplace Transform F(s) = (5(s + 5))/(s(s + 2)(s ^ 2 + 2s + 10))

A: We have to find the inverse Laplace transform of the function . Forthis, we have to write the…

Q: Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer…

A: The given problem is to find the inverse Laplace transform of the given function.

Q: do the inverse laplace transforms of the rational function F(s)=(s-2)/s(s^2 -4s+8)

A:

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

A:

Q: f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b.…

A: We need to find the Laplace transform of ft=cos 5t-3t2 That is we need to find Lcos 5t-3t2 Now,…

Q: Find the Laplace transform F(s) = f(t)= (3-t) (h(t-4)-h(t-6)), for a 0. F(8) = C {f(t)} 2h(3-1)/s^2…

A: We know for a function g(t),           L{g(t)h(t - c)} = e-cs L{g(t + c)} Here, h(t - c) is…

Q: 1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i)…

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Q: Find the inverse Laplace transform f(t)= C1 (F(s)) of the function F(s): 36)}-Oh f(t)=c-1 {-(; 6 +64…

A:

Q: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

A:

Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

A:

Q: Orthogonalize {1, t, t²} in P₂ (R) with 1 (f, 9) = ["ª, f(x)g(x) dx. -1 Then normalize each one so…

A:

Q: suppose x (t) hasFourier transform X (w) = e^¯w find Determine transforms of x (2t) and x (t + 1)

A: Fourier transform of these functions are found by using properties of Fourier transform.

Q: x (n) = sin лn u (n)?

A: