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Popular >

simplify e^{-3t}sin(2w)t

Solution

simplify

e^{- 3 t} sin (2 w) t

Solution

\frac{t sin ( 2 w )}{e ^{3 t}}

Solution steps

e^{- 3 t} sin (2 w) t

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} t sin (2 w)

Multiply fractions:

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

= \frac{1 \cdot sin ( 2 w ) t}{e ^{3 t}}

Multiply:

1 \cdot sin (2 w) = sin (2 w)

= \frac{t sin ( 2 w )}{e ^{3 t}}

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Frequently Asked Questions (FAQ)

What is e^{-3t}sin(2w)t ?
The solution to e^{-3t}sin(2w)t is (tsin(2w))/(e^{3t)}