What is (45e^{-3x})*(3-cos(x)) ?

The solution to (45e^{-3x})*(3-cos(x)) is (45(-cos(x)+3))/(e^{3x)}

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simplify (45e^{-3x})*(3-cos(x))

simplify

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

\frac{45 ( - cos ( x ) + 3 )}{e ^{3 x}}

Solution steps

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

Apply exponent rule:

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

= 45 \cdot \frac{1}{e ^{3 x}} (- cos (x) + 3)

Multiply fractions:

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

= \frac{1 \cdot 45 ( 3 - cos ( x ) )}{e ^{3 x}}

Multiply the numbers:

1 \cdot 45 = 45

= \frac{45 ( - cos ( x ) + 3 )}{e ^{3 x}}

(6.2 \cdot 1 0^{3}) \cdot (5.8 \cdot 1 0^{- 4})

5.5 π (5.5)^{2}

x^{2} \cdot 3, x

2.3935 \cdot 1 0^{- 11}

e^{x} e^{x} e^{x}

What is (45e^{-3x})*(3-cos(x)) ?
The solution to (45e^{-3x})*(3-cos(x)) is (45(-cos(x)+3))/(e^{3x)}