(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the second shifting theorem to find the Laplace transform of

f(t) = {t^{2}, t<4

{t, t[itex]\geq[/itex]4

2. Relevant equations

L{f(t - a)u(t - a)} = e^{-as}F(s)

3. The attempt at a solution

Okay so I applied the unit step function to get the equation in to the form

f(t) = t^{2}- t^{2}(u)(t - 4) + t(u)(t - 4)

= t^{2}(1 -u(t - 4) + t(u)(t - 4))

However now I get lost as I know it needs to be in the form f(t - a)u(t - a) and I see that the second part of equation is but the first part is confusing me I think maybe I am suppose to complete the square though I just can't see how?

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# Homework Help: Use the second shifting theorem to find the Laplace transform

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