What is e^{-3t}\times cos(3t) ?

The solution to e^{-3t}\times cos(3t) is (cos(3t))/(e^{3t)}

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simplify e^{-3t}\times cos(3t)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

(e^{\frac{x}{20}})^{2}

(6.3) (\frac{1}{3})^{3} (\frac{2}{3})^{3}

\frac{m ^{2}}{s ^{2}}

e^{- a x} \cdot cos (b t + c)

e^{- 0.198}

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