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

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

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

simplify

3 e^{- 2 t} \cdot cos (3 t)

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

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

0.0001 \cdot 1 0^{- 6}

(5.7 (1 0^{- 5})) (14137.17)

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