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

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

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simplify e^{-t}2sin(4t)

simplify

e^{- t} 2 sin (4 t)

\frac{2 sin ( 4 t )}{e ^{t}}

Solution steps

e^{- t} \cdot 2 sin (4 t)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

3 x (x + 1)^{2} (x - 1)^{2}

(1.2 \cdot x 1 0^{7}) (5 \cdot x 1 0^{- 6})

5.6 \cdot 1 0^{11} (1.6 \cdot 1 0^{(- 19)})

2 e^{- \frac{1}{2} t} sin (4 π t)

- 0.35 (6. 2^{- 2})