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

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

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

simplify

e^{- t} cos (3 t) u_{4 π} (t)

\frac{t u _{4 π} cos ( 3 t )}{e ^{t}}

Solution steps

e^{- t} cos (3 t) u_{4 π} (t)

Apply exponent rule:

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

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

Multiply fractions:

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

= \frac{1 \cdot cos ( 3 t ) u _{4 π} t}{e ^{t}}

Multiply:

1 \cdot cos (3 t) = cos (3 t)

= \frac{t u _{4 π} cos ( 3 t )}{e ^{t}}

(1 + x)^{- 4}

\frac{- 55}{5}

I n e^{- 2}

e^{(- 3 x)}

e^{2} \cdot e^{5}

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