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

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

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simplify 2e^{-t}sin(pit)

simplify

2 e^{- t} sin (π t)

\frac{2 sin ( π t )}{e ^{t}}

Solution steps

2 e^{- t} sin (π t)

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{t}} sin (π t)

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 sin ( π t )}{e ^{t}}

3.5 \cdot 1 0^{- 3} \cdot 68.4 2^{0.66}

- \frac{1 - y ^{2}}{1 - x ^{2}}

- e^{- 2 (l n (3))}

x e^{2 x} sin (\frac{1}{2}) x