What is 0.05e^{-9t}sin(12t) ?

The solution to 0.05e^{-9t}sin(12t) is (0.05sin(12t))/(e^{9t)}

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simplify 0.05e^{-9t}sin(12t)

simplify

0.05 e^{- 9 t} sin (12 t)

\frac{0.05 sin ( 12 t )}{e ^{9 t}}

Solution steps

0.05 e^{- 9 t} sin (12 t)

Apply exponent rule:

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

= 0.05 \cdot \frac{1}{e ^{9 t}} sin (12 t)

Multiply fractions:

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

= 0.05 \cdot \frac{1 \cdot sin ( 12 t )}{e ^{9 t}}

Multiply:

1 \cdot sin (12 t) = sin (12 t)

= 0.05 \cdot \frac{sin ( 12 t )}{e ^{9 t}}

Multiply fractions:

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

= \frac{sin ( 12 t ) \cdot 0.05}{e ^{9 t}}

\frac{- 20}{2}

(x yz) (x^{2} y^{3} z^{4}) (x y^{2} z^{3})

- \frac{π}{2} \cdot e^{- 0.2 \cdot 4}

8.6 \cdot 1 0^{- 4}

\frac{( 9 ) ^{5}}{5 !} e^{- 9}

What is 0.05e^{-9t}sin(12t) ?
The solution to 0.05e^{-9t}sin(12t) is (0.05sin(12t))/(e^{9t)}