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Popular >

simplify e^{-5t}sin(10t)

Solution

simplify

e^{- 5 t} sin (10 t)

Solution

\frac{sin ( 10 t )}{e ^{5 t}}

Solution steps

e^{- 5 t} sin (10 t)

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} sin (10 t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 10 t )}{e ^{5 t}}

Multiply:

1 \cdot sin (10 t) = sin (10 t)

= \frac{sin ( 10 t )}{e ^{5 t}}

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Frequently Asked Questions (FAQ)

What is e^{-5t}sin(10t) ?
The solution to e^{-5t}sin(10t) is (sin(10t))/(e^{5t)}