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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

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