What is e^{(-2t)}sin(2t)cosh(t) ?

The solution to e^{(-2t)}sin(2t)cosh(t) is (sin(2t)cosh(t))/(e^{2t)}

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simplify e^{(-2t)}sin(2t)cosh(t)

simplify

e^{(- 2 t)} sin (2 t) cosh (t)

\frac{sin ( 2 t ) cosh ( t )}{e ^{2 t}}

Solution steps

e^{(- 2 t)} sin (2 t) cosh (t)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} sin (2 t) cosh (t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 2 t ) cosh ( t )}{e ^{2 t}}

Multiply:

1 \cdot sin (2 t) = sin (2 t)

= \frac{sin ( 2 t ) cosh ( t )}{e ^{2 t}}

e^{- (x - a)}

100 e^{- 0.023 (10)}

(e^{2 x})^{- 1} (- \frac{1}{2} e^{4 x} + c)

1.96 \cdot 1 0^{- 3} \cdot 1.1127

7.8 \cdot 1 0^{- 6}

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