What is t^4e^{-3t}cos(2t) ?

The solution to t^4e^{-3t}cos(2t) is (t^4cos(2t))/(e^{3t)}

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simplify t^4e^{-3t}cos(2t)

simplify

t^{4} e^{- 3 t} cos (2 t)

\frac{t ^{4} cos ( 2 t )}{e ^{3 t}}

Solution steps

t^{4} e^{- 3 t} cos (2 t)

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} t^{4} cos (2 t)

Multiply fractions:

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

= \frac{1 \cdot t ^{4} cos ( 2 t )}{e ^{3 t}}

Multiply:

1 \cdot t^{4} = t^{4}

= \frac{t ^{4} cos ( 2 t )}{e ^{3 t}}

[(2^{3})^{3}]^{2}

\frac{3 y}{2 x}

(1 - 4 x)^{- 3}

50 e^{- 0.06 \cdot \frac{1}{12}}

\frac{2 - x}{x - 1}

What is t^4e^{-3t}cos(2t) ?
The solution to t^4e^{-3t}cos(2t) is (t^4cos(2t))/(e^{3t)}