What is 20e^{-4t}cos(50t) ?

The solution to 20e^{-4t}cos(50t) is (20cos(50t))/(e^{4t)}

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simplify 20e^{-4t}cos(50t)

simplify

20 e^{- 4 t} cos (50 t)

\frac{20 cos ( 50 t )}{e ^{4 t}}

Solution steps

20 e^{- 4 t} cos (50 t)

Apply exponent rule:

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

= 20 \cdot \frac{1}{e ^{4 t}} cos (50 t)

Multiply fractions:

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

= \frac{1 \cdot 20 cos ( 50 t )}{e ^{4 t}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20 cos ( 50 t )}{e ^{4 t}}

4 x (e^{- 2 x^{2}})

(4 + x)^{4} (4 - x)^{4}

\frac{v ^{2}}{c ^{2}}

34

What is 20e^{-4t}cos(50t) ?
The solution to 20e^{-4t}cos(50t) is (20cos(50t))/(e^{4t)}