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Popular >

simplify Le^{-3t}sin(5t)

Solution

simplify

L e^{- 3 t} sin (5 t)

Solution

\frac{L sin ( 5 t )}{e ^{3 t}}

Solution steps

L e^{- 3 t} sin (5 t)

Apply exponent rule:

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

= L \frac{1}{e ^{3 t}} sin (5 t)

Multiply fractions:

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

= \frac{1 L sin ( 5 t )}{e ^{3 t}}

Multiply:

1 L = L

= \frac{L sin ( 5 t )}{e ^{3 t}}

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1.8 \cdot 1 0^{- 5} \cdot 9

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1.8 \cdot 1 0^{- 5} \cdot 3

Frequently Asked Questions (FAQ)

What is Le^{-3t}sin(5t) ?
The solution to Le^{-3t}sin(5t) is (Lsin(5t))/(e^{3t)}