en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{(-at)}*sin(wt)

Solution

simplify

e^{(- a t)} \cdot sin (wt)

Solution

\frac{sin ( tw )}{e ^{a t}}

Solution steps

e^{(- a t)} sin (wt)

Apply exponent rule:

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

= \frac{1}{e ^{a t}} sin (tw)

Multiply fractions:

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

= \frac{1 \cdot sin ( wt )}{e ^{a t}}

Multiply:

1 \cdot sin (wt) = sin (wt)

= \frac{sin ( tw )}{e ^{a t}}

Popular Examples

simplify x^3(x^5y^7)simplify

x^{3} (x^{5} y^{7})

simplify (2a^2e)*(3e^3)*a simplify

(2 a^{2} e) \cdot (3 e^{3}) \cdot a

simplify 5t^2e^{-10t}dt simplify

5 t^{2} e^{- 10 t} d t

d/(dn)((q)(5lk^2n^2))

\frac{d}{d n} ((q) (5 l k^{2} n^{2}))

simplify 3\sqrt[5]{25}^3 simplify

Frequently Asked Questions (FAQ)

What is e^{(-at)}*sin(wt) ?
The solution to e^{(-at)}*sin(wt) is (sin(tw))/(e^{at)}