What is 2e^{-t/2}sin(3t)sinh(6t) ?

The solution to 2e^{-t/2}sin(3t)sinh(6t) is (2sin(3t)sinh(6t))/(e^{t/2)}

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simplify 2e^{-t/2}sin(3t)sinh(6t)

simplify

2 e^{- \frac{t}{2}} sin (3 t) sinh (6 t)

\frac{2 sin ( 3 t ) sinh ( 6 t )}{e ^{\frac{t}{2}}}

Solution steps

2 e^{- \frac{t}{2}} sin (3 t) sinh (6 t)

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{\frac{t}{2}}} sin (3 t) sinh (6 t)

Multiply fractions:

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

= \frac{1 \cdot 2 sin ( 3 t ) sinh ( 6 t )}{e ^{\frac{t}{2}}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 sin ( 3 t ) sinh ( 6 t )}{e ^{\frac{t}{2}}}

(5 x - 5)^{3} (2 - x^{4})^{3}

e^{- 3 (t - v)}

- 2 x^{4} (5 x^{3})

l^{- 1} (\frac{1}{s})

What is 2e^{-t/2}sin(3t)sinh(6t) ?
The solution to 2e^{-t/2}sin(3t)sinh(6t) is (2sin(3t)sinh(6t))/(e^{t/2)}