What is e^{-2x}*sin(5x+pi/4) ?

The solution to e^{-2x}*sin(5x+pi/4) is (sin(5x+pi/4))/(e^{2x)}

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simplify e^{-2x}*sin(5x+pi/4)

simplify

e^{- 2 x} \cdot sin (5 x + \frac{π}{4})

\frac{sin ( 5 x + \frac{π}{4} )}{e ^{2 x}}

Solution steps

e^{- 2 x} sin (5 x + \frac{π}{4})

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} sin (5 x + \frac{π}{4})

Multiply fractions:

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

= \frac{1 \cdot sin ( 5 x + \frac{π}{4} )}{e ^{2 x}}

Multiply:

1 \cdot sin (5 x + \frac{π}{4}) = sin (5 x + \frac{π}{4})

= \frac{sin ( 5 x + \frac{π}{4} )}{e ^{2 x}}

26.9 \cdot 1 0^{- 6}

(6.245 - 6.7255) e^{- 0.01 \cdot 2}

(0)^{2} \cdot e^{- (0)}

e^{- \frac{2}{3} \cdot 0.1 \cdot 10}

e^{- 1.94}

What is e^{-2x}*sin(5x+pi/4) ?
The solution to e^{-2x}*sin(5x+pi/4) is (sin(5x+pi/4))/(e^{2x)}