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Popular >

simplify t^2e^{-at}u(t)

Solution

simplify

t^{2} e^{- a t} u (t)

Solution

e^{- t a} t^{3} u

Solution steps

t^{2} e^{- a t} u (t)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

t^{2} t = t^{2 + 1}

= e^{- a t} u t^{2 + 1}

Add the numbers:

2 + 1 = 3

= e^{- a t} u t^{3}

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Frequently Asked Questions (FAQ)

What is t^2e^{-at}u(t) ?
The solution to t^2e^{-at}u(t) is e^{-ta}t^3u