What is e^{-at}cos(w(t-3)) ?

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

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simplify e^{-at}cos(w(t-3))

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

(1073)^{4} \cdot 0.6 \cdot 0.02 \cdot 5.57 \cdot 1 0^{- 8}

(- 1)^{2} e^{- (- 1)}

(3 x^{2} y^{3}) (9 x y^{4})

10 \cdot \frac{1}{4} e^{(- 8 \cdot \frac{1}{4})}

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