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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

e^{1.9}

(x^{2} + y^{2} + z^{2})^{2}

e^{- 5.2}

e^{- 1.91}

9 \cdot e^{- 3}

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