What is 3te^{-2t}cos(θt) ?

The solution to 3te^{-2t}cos(θt) is (3tcos(tθ))/(e^{2t)}

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simplify 3te^{-2t}cos(θt)

simplify

3 t e^{- 2 t} cos (θt)

\frac{3 t cos ( tθ )}{e ^{2 t}}

Solution steps

3 t e^{- 2 t} cos (θt)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 t cos ( tθ )}{e ^{2 t}}

2.85 \cdot 1 0^{- 5}

e^{- 0.113}

e^{- 4 l n (x + 2)}

(6.5) (6. 5^{2})^{4}

(x^{2} + y)^{6} (x + y^{2})^{6}

What is 3te^{-2t}cos(θt) ?
The solution to 3te^{-2t}cos(θt) is (3tcos(tθ))/(e^{2t)}