What is e^{-at}sin(wt)step(t-1) ?

The solution to e^{-at}sin(wt)step(t-1) is e^{-at+1}tspsin(tw)(t-1)

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simplify e^{-at}sin(wt)step(t-1)

simplify

e^{- a t} sin (wt) s t e p (t - 1)

e^{- a t + 1} t s p sin (tw) (t - 1)

Solution steps

e^{- a t} sin (wt) s t e p (t - 1)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- a t} e = e^{- a t + 1}

= sin (wt) s t e^{- a t + 1} p (t - 1)

1200 \cdot \frac{( 0.005 ) ^{2}}{4} \cdot π \cdot 0.8 \cdot π \cdot 4

π (9 0^{2}) (1 0^{- 6}) (29.17)

6.67 \cdot 1 0^{- 11} \cdot 40 \cdot 120

1.72 \cdot 1 0^{- 8} \cdot \frac{1.67}{8.2 \cdot 1 0 ^{- 7}}

\frac{e ^{- \frac{1}{6} x}}{e ^{\frac{2}{3} x}}

What is e^{-at}sin(wt)step(t-1) ?
The solution to e^{-at}sin(wt)step(t-1) is e^{-at+1}tspsin(tw)(t-1)