What is 3t*e^{-2t}*cos(4t) ?

The solution to 3t*e^{-2t}*cos(4t) is (3tcos(4t))/(e^{2t)}

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simplify 3te^{-2t}cos(4t)

simplify

3 t \cdot e^{- 2 t} \cdot cos (4 t)

\frac{3 t cos ( 4 t )}{e ^{2 t}}

Solution steps

3 t e^{- 2 t} cos (4 t)

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{2 t}} t cos (4 t)

Multiply fractions:

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

= \frac{1 \cdot 3 t cos ( 4 t )}{e ^{2 t}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 t cos ( 4 t )}{e ^{2 t}}

2 \cdot 1 0^{- 7} \cdot \frac{4.5}{16 \cdot 1 0 ^{- 2}}

e^{- pt} (t^{2} - 2 t + 1)

1 0^{- 1.8} \cdot 98

9.7 \cdot 1 0^{- 8}

(\frac{1}{2}) (53 \cdot 1 0^{- 3}) (34.28571)^{2}

What is 3t*e^{-2t}*cos(4t) ?
The solution to 3t*e^{-2t}*cos(4t) is (3tcos(4t))/(e^{2t)}