What is te^{-12t}sin(6t)\H(t-2) ?

The solution to te^{-12t}sin(6t)\H(t-2) is (tsin(6t)\H(t-2))/(e^{12t)}

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simplify te^{-12t}sin(6t)\H(t-2)

simplify

t e^{- 12 t} sin (6 t) H (t - 2)

\frac{t sin ( 6 t ) H ( t - 2 )}{e ^{12 t}}

Solution steps

t e^{- 12 t} sin (6 t) H (t - 2)

Apply exponent rule:

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

= \frac{1}{e ^{12 t}} t sin (6 t) H (t - 2)

Multiply fractions:

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

= \frac{1 \cdot t sin ( 6 t ) H ( t - 2 )}{e ^{12 t}}

Multiply:

1 \cdot t = t

= \frac{t sin ( 6 t ) H ( t - 2 )}{e ^{12 t}}

2612 \cdot e^{- 3.877}

3^{m} 0.2 7^{m} 0. 9^{- m}

\frac{1.4 8 ^{2}}{1.3 5 ^{2}}

- (x^{- 1} y^{- 1}) (x + x y^{3}) d y

What is te^{-12t}sin(6t)\H(t-2) ?
The solution to te^{-12t}sin(6t)\H(t-2) is (tsin(6t)\H(t-2))/(e^{12t)}