en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-st}cosh(3t)

Solution

simplify

e^{- s t} cosh (3 t)

Solution

\frac{cosh ( 3 t )}{e ^{s t}}

Solution steps

e^{- s t} cosh (3 t)

Apply exponent rule:

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

= \frac{1}{e ^{s t}} cosh (3 t)

Multiply fractions:

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

= \frac{1 \cdot cosh ( 3 t )}{e ^{s t}}

Multiply:

1 \cdot cosh (3 t) = cosh (3 t)

= \frac{cosh ( 3 t )}{e ^{s t}}

Popular Examples

simplify 500*e^{-0.22*4}simplify

500 \cdot e^{- 0.22 \cdot 4}

simplify 3x^2(7x^2)simplify

3 x^{2} (7 x^{2})

simplify 2e^{-y}(x+y)simplify

2 e^{- y} (x + y)

simplify sqrt(sin(2x))sqrt(cos(2x))simplify

sin (2 x) cos (2 x)

simplify 3y^2(-3y+3)^2 simplify

3 y^{2} (- 3 y + 3)^{2}

Frequently Asked Questions (FAQ)

What is e^{-st}cosh(3t) ?
The solution to e^{-st}cosh(3t) is (cosh(3t))/(e^{st)}