What is t^2e^{-2t}sin(2t) ?

The solution to t^2e^{-2t}sin(2t) is (t^2sin(2t))/(e^{2t)}

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simplify t^2e^{-2t}sin(2t)

simplify

t^{2} e^{- 2 t} sin (2 t)

\frac{t ^{2} sin ( 2 t )}{e ^{2 t}}

Solution steps

t^{2} e^{- 2 t} sin (2 t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{2 t}} t^{2} sin (2 t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot t ^{2} sin ( 2 t )}{e ^{2 t}}

Multiply:

1 \cdot t^{2} = t^{2}

= \frac{t ^{2} sin ( 2 t )}{e ^{2 t}}

e^{3 x} \cdot e^{- x}

12 m^{3} n^{2} (2 mn)

3.3 \cdot 1 0^{- 4}

6.2 \cdot 1 0^{- 4}

What is t^2e^{-2t}sin(2t) ?
The solution to t^2e^{-2t}sin(2t) is (t^2sin(2t))/(e^{2t)}