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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot cos (2 t) = cos (2 t)

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

- 1.77 e^{- 1.77 (1.56)}

12 x 1 0^{30} m e t ros a G m

18 \cdot (182)

2200 \cdot (9^{- 0.49595})

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