en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-at}cos(k)t

Solution

simplify

e^{- a t} cos (k) t

Solution

\frac{t cos ( k )}{e ^{a t}}

Solution steps

e^{- a t} cos (k) t

Apply exponent rule:

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

= \frac{1}{e ^{a t}} t cos (k)

Multiply fractions:

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

= \frac{1 \cdot cos ( k ) t}{e ^{a t}}

Multiply:

1 \cdot cos (k) = cos (k)

= \frac{t cos ( k )}{e ^{a t}}

Popular Examples

simplify 10^{-0.5}*100 simplify

1 0^{- 0.5} \cdot 100

simplify e^{-5*0.03616}simplify

e^{- 5 \cdot 0.03616}

simplify (e^{0.02*7*7})/(e^{0.02*2*2)}simplify

\frac{e ^{0.02 \cdot 7 \cdot 7}}{e ^{0.02 \cdot 2 \cdot 2}}

simplify e^{-4/7}simplify

e^{- \frac{4}{7}}

simplify 1.176*10^{-3}*118.2 simplify

1.176 \cdot 1 0^{- 3} \cdot 118.2

Frequently Asked Questions (FAQ)

What is e^{-at}cos(k)t ?
The solution to e^{-at}cos(k)t is (tcos(k))/(e^{at)}