What is 2e^{-0.3t}cos(2t) ?

The solution to 2e^{-0.3t}cos(2t) is (2cos(2t))/(e^{0.3t)}

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simplify 2e^{-0.3t}cos(2t)

simplify

2 e^{- 0.3 t} cos (2 t)

\frac{2 cos ( 2 t )}{e ^{0.3 t}}

Solution steps

2 e^{- 0.3 t} cos (2 t)

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{0.3 t}} cos (2 t)

Multiply fractions:

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

= \frac{1 \cdot 2 cos ( 2 t )}{e ^{0.3 t}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 cos ( 2 t )}{e ^{0.3 t}}

3 e^{x} \cdot 2 e^{2 x}

6.6 \cdot 1 0^{- 4} \cdot 0.04

22.5 \cdot 1.6 e^{- 19}

e^{- 0.118}

(2 a^{2} e) \cdot (3 e^{2}) \cdot a

What is 2e^{-0.3t}cos(2t) ?
The solution to 2e^{-0.3t}cos(2t) is (2cos(2t))/(e^{0.3t)}