What is e^{-t}*sin(t)u(t-pi) ?

The solution to e^{-t}*sin(t)u(t-pi) is (usin(t)(t-pi))/(e^t)

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simplify e^{-t}*sin(t)u(t-pi)

simplify

e^{- t} \cdot sin (t) u (t - π)

\frac{u sin ( t ) ( t - π )}{e ^{t}}

Solution steps

e^{- t} sin (t) u (t - π)

Apply exponent rule:

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

= \frac{1}{e ^{t}} u sin (t) (t - π)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (t) = sin (t)

= \frac{u sin ( t ) ( t - π )}{e ^{t}}

867.63 \cdot 1.0 3^{- 1}

82 \cdot 1 0^{- 3} \cdot (1.6 \cdot 1 0^{6}) \cdot \frac{298.15}{34.1 \cdot 1}

4 x^{2} y (2 x^{2} y)

3.4 x 1 0^{- 6}

\frac{1}{2} (1.673 \cdot 1 0^{- 27}) (3072325 1^{2})

What is e^{-t}*sin(t)u(t-pi) ?
The solution to e^{-t}*sin(t)u(t-pi) is (usin(t)(t-pi))/(e^t)