What is e^{-3t}cos(h)(5t) ?

The solution to e^{-3t}cos(h)(5t) is (5tcos(h))/(e^{3t)}

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simplify e^{-3t}cos(h)(5t)

simplify

e^{- 3 t} cos (h) (5 t)

\frac{5 t cos ( h )}{e ^{3 t}}

Solution steps

e^{- 3 t} cos (h) (5 t)

Apply exponent rule:

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

= 5 \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 5 t}{e ^{3 t}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 t cos ( h )}{e ^{3 t}}

e^{e^{- x^{2}}} \cdot 6 e^{x^{2}}

e^{2 w} e^{r}

e^{- 1.4 \cdot 1 0^{- 11}}

e^{- 0.003 \cdot 800}

k e^{- 1.25}

What is e^{-3t}cos(h)(5t) ?
The solution to e^{-3t}cos(h)(5t) is (5tcos(h))/(e^{3t)}