What is e^{-3t}cos(sqrt(7))t ?

The solution to e^{-3t}cos(sqrt(7))t is (cos(sqrt(7))t)/(e^{3t)}

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simplify e^{-3t}cos(sqrt(7))t

simplify

e^{- 3 t} cos (7) t

\frac{cos ( 7 ) t}{e ^{3 t}}

Solution steps

e^{- 3 t} cos (7) t

Apply exponent rule:

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

= cos (7) \frac{1}{e ^{3 t}} t

Multiply fractions:

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

= \frac{1 \cdot cos ( 7 ) t}{e ^{3 t}}

Multiply:

1 \cdot cos (7) = cos (7)

= \frac{cos ( 7 ) t}{e ^{3 t}}

e^{6 x - 5} (e^{3 - 2 x})

20000 e^{- 2 (\frac{l n ( \frac{9}{2} )}{3})}

(0.79 ln (17345) - 1.64)^{- 2}

\frac{1}{2} \cdot 159150 \cdot (29.9 - 0.977 - 13.91)^{2} \cdot 1 0^{- 6}

x^{- 2} e^{- 2 l n (r)} d x

What is e^{-3t}cos(sqrt(7))t ?
The solution to e^{-3t}cos(sqrt(7))t is (cos(sqrt(7))t)/(e^{3t)}