What is 8te^{-st}cosh(4t) ?

The solution to 8te^{-st}cosh(4t) is (8tcosh(4t))/(e^{ts)}

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simplify 8te^{-st}cosh(4t)

simplify

8 t e^{- s t} cosh (4 t)

\frac{8 t cosh ( 4 t )}{e ^{t s}}

Solution steps

8 t e^{- s t} cosh (4 t)

Apply exponent rule:

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

= 8 \cdot \frac{1}{e ^{t s}} t cosh (4 t)

Multiply fractions:

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

= \frac{1 \cdot 8 t cosh ( 4 t )}{e ^{s t}}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 t cosh ( 4 t )}{e ^{t s}}

((4^{2})^{3})^{4}

e^{- l n (w)}

(3.25 \cdot 1 0^{- 4}) (8.3)

What is 8te^{-st}cosh(4t) ?
The solution to 8te^{-st}cosh(4t) is (8tcosh(4t))/(e^{ts)}