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Popular >

simplify e^{-6t}sin(7pit)

Solution

simplify

e^{- 6 t} sin (7 π t)

Solution

\frac{sin ( 7 π t )}{e ^{6 t}}

Solution steps

e^{- 6 t} sin (7 π t)

Apply exponent rule:

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

= \frac{1}{e ^{6 t}} sin (7 π t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 7 π t )}{e ^{6 t}}

Multiply:

1 \cdot sin (7 π t) = sin (7 π t)

= \frac{sin ( 7 π t )}{e ^{6 t}}

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Frequently Asked Questions (FAQ)

What is e^{-6t}sin(7pit) ?
The solution to e^{-6t}sin(7pit) is (sin(7pit))/(e^{6t)}