What is e^{-5t}t^2sin(3t) ?

The solution to e^{-5t}t^2sin(3t) is (t^2sin(3t))/(e^{5t)}

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simplify e^{-5t}t^2sin(3t)

simplify

e^{- 5 t} t^{2} sin (3 t)

\frac{t ^{2} sin ( 3 t )}{e ^{5 t}}

Solution steps

e^{- 5 t} t^{2} sin (3 t)

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} t^{2} sin (3 t)

Multiply fractions:

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

= \frac{1 \cdot t ^{2} sin ( 3 t )}{e ^{5 t}}

Multiply:

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

= \frac{t ^{2} sin ( 3 t )}{e ^{5 t}}

\frac{e ^{x}}{e ^{2}}

x^{2} - 2 x + 6 \cdot x^{2} + 2 x - 6

9^{2} - (\frac{25}{26})^{2}

(7 \cdot 1 0^{- 8}) (3 \cdot 1 0^{- 6})

x - 3 \cdot x + 2

What is e^{-5t}t^2sin(3t) ?
The solution to e^{-5t}t^2sin(3t) is (t^2sin(3t))/(e^{5t)}