What is 430e^{-100t}sin(200t) ?

The solution to 430e^{-100t}sin(200t) is (430sin(200t))/(e^{100t)}

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simplify 430e^{-100t}sin(200t)

simplify

430 e^{- 100 t} sin (200 t)

\frac{430 sin ( 200 t )}{e ^{100 t}}

Solution steps

430 e^{- 100 t} sin (200 t)

Apply exponent rule:

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

= 430 \cdot \frac{1}{e ^{100 t}} sin (200 t)

Multiply fractions:

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

= \frac{1 \cdot 430 sin ( 200 t )}{e ^{100 t}}

Multiply the numbers:

1 \cdot 430 = 430

= \frac{430 sin ( 200 t )}{e ^{100 t}}

e^{- 5.3}

0.03 \cdot 0.012 \cdot (1 0^{- 3})

1.248 \cdot 1 0^{- 7}

\frac{( - 4 ) ^{n}}{4 ^{n}}

(2 e^{2 t}) (4 e^{2 t})

What is 430e^{-100t}sin(200t) ?
The solution to 430e^{-100t}sin(200t) is (430sin(200t))/(e^{100t)}