What is te^{-2t}sinh(3t)cosh(2t) ?

The solution to te^{-2t}sinh(3t)cosh(2t) is (tsinh(3t)cosh(2t))/(e^{2t)}

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simplify te^{-2t}sinh(3t)cosh(2t)

simplify

t e^{- 2 t} sinh (3 t) cosh (2 t)

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

Solution steps

t e^{- 2 t} sinh (3 t) cosh (2 t)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} t sinh (3 t) cosh (2 t)

Multiply fractions:

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

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

Multiply:

1 \cdot t = t

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

(14490) e^{- 0.07 \cdot 0.625}

0 \cdot (1.5 \cdot 1 0^{- 6})

5.316 \cdot 1 0^{- 23} \cdot 17.6

4 \cdot 1 0^{- 6} (28.125)

590000 (1 + 0.2259)^{- 6}

What is te^{-2t}sinh(3t)cosh(2t) ?
The solution to te^{-2t}sinh(3t)cosh(2t) is (tsinh(3t)cosh(2t))/(e^{2t)}