What is e^{-2.225x}(-4.405sin(x)+54.391cos(x)) ?

The solution to e^{-2.225x}(-4.405sin(x)+54.391cos(x)) is (54.391cos(x)-4.405sin(x))/(e^{2.225x)}

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simplify e^{-2.225x}(-4.405sin(x)+54.391cos(x))

simplify

e^{- 2.225 x} (- 4.405 sin (x) + 54.391 cos (x))

\frac{54.391 cos ( x ) - 4.405 sin ( x )}{e ^{2.225 x}}

Solution steps

e^{- 2.225 x} (- 4.405 sin (x) + 54.391 cos (x))

Apply exponent rule:

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

= \frac{1}{e ^{2.225 x}} (54.391 cos (x) - 4.405 sin (x))

Multiply fractions:

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

= \frac{1 \cdot ( - 4.405 sin ( x ) + 54.391 cos ( x ) )}{e ^{2.225 x}}

1 \cdot (- 4.405 sin (x) + 54.391 cos (x)) = - 4.405 sin (x) + 54.391 cos (x)

= \frac{- 4.405 sin ( x ) + 54.391 cos ( x )}{e ^{2.225 x}}

50 e^{- 0.05268 (2)}

\frac{2.462 7 ^{2}}{2.211 8 ^{2}}

(53 \cdot 1 0^{- 3}) (34.28571)

1.26 \cdot 3.2 \cdot 1 0^{- 19}

(2.733 \cdot 1 0^{- 31}) \cdot (3 \cdot 1 0^{8})

What is e^{-2.225x}(-4.405sin(x)+54.391cos(x)) ?
The solution to e^{-2.225x}(-4.405sin(x)+54.391cos(x)) is (54.391cos(x)-4.405sin(x))/(e^{2.225x)}