What is 3e^{-2t}sin(4t) ?

The solution to 3e^{-2t}sin(4t) is (3sin(4t))/(e^{2t)}

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simplify 3e^{-2t}sin(4t)

simplify

3 e^{- 2 t} sin (4 t)

\frac{3 sin ( 4 t )}{e ^{2 t}}

Solution steps

3 e^{- 2 t} sin (4 t)

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{2 t}} sin (4 t)

Multiply fractions:

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

= \frac{1 \cdot 3 sin ( 4 t )}{e ^{2 t}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 sin ( 4 t )}{e ^{2 t}}

e^{- 0.1 5^{2}}

2.302 \cdot 1 0^{- 22} \cdot (0.101 i + 0.066 j)

2.8 x 1 0^{- 3}

3 \frac{6 x}{x ^{2} - 9} d o mini o

What is 3e^{-2t}sin(4t) ?
The solution to 3e^{-2t}sin(4t) is (3sin(4t))/(e^{2t)}