What is 40e^{-15000t}sin(30000t) ?

The solution to 40e^{-15000t}sin(30000t) is (40sin(30000t))/(e^{15000t)}

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simplify 40e^{-15000t}sin(30000t)

simplify

40 e^{- 15000 t} sin (30000 t)

\frac{40 sin ( 30000 t )}{e ^{15000 t}}

Solution steps

40 e^{- 15000 t} sin (30000 t)

Apply exponent rule:

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

= 40 \cdot \frac{1}{e ^{15000 t}} sin (30000 t)

Multiply fractions:

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

= \frac{1 \cdot 40 sin ( 30000 t )}{e ^{15000 t}}

Multiply the numbers:

1 \cdot 40 = 40

= \frac{40 sin ( 30000 t )}{e ^{15000 t}}

(x \cdot x + h) (x + x + h)

2.99 \cdot 1 0^{- 23}

993.66 e^{- 53.1 (0.005)}

e^{- 6.3}

(6 x^{5}) (6 x^{\frac{2}{3}})

What is 40e^{-15000t}sin(30000t) ?
The solution to 40e^{-15000t}sin(30000t) is (40sin(30000t))/(e^{15000t)}