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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 4 = 4

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

3.4 x 1 0^{- 2}

2 e^{- l n (3)}

289

(4 π \cdot 1 0^{- 7}) (- 4.3 + 5.7)

4 - 7 \times 4 + 7

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