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Popular >

simplify e^{-2x}*cos(3x)

Solution

simplify

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

Solution

\frac{cos ( 3 x )}{e ^{2 x}}

Solution steps

e^{- 2 x} cos (3 x)

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} cos (3 x)

Multiply fractions:

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

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

Multiply:

1 \cdot cos (3 x) = cos (3 x)

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

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Frequently Asked Questions (FAQ)

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