What is 4.22*e^{-t}cos(3) ?

The solution to 4.22*e^{-t}cos(3) is -(4.17776…)/(e^t)

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simplify 4.22*e^{-t}cos(3)

simplify

4.22 \cdot e^{- t} cos (3)

- \frac{4.17776 \dots}{e ^{t}}

Solution steps

4.22 e^{- t} cos (3)

Apply exponent rule:

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

= 4.22 cos (3) \frac{1}{e ^{t}}

Multiply fractions:

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

= 4.22 \cdot \frac{1 \cdot cos ( 3 )}{e ^{t}}

Multiply:

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

= 4.22 \cdot \frac{cos ( 3 )}{e ^{t}}

Multiply fractions:

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

= \frac{cos ( 3 ) \cdot 4.22}{e ^{t}}

cos (3) = - 0.98999 \dots

= \frac{- 0.98999 \dots \cdot 4.22}{e ^{t}}

Multiply the numbers:

0.98999 \dots \cdot 4.22 = 4.17776 \dots

= \frac{- 4.17776 \dots}{e ^{t}}

Apply the fraction rule:

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

= - \frac{4.17776 \dots}{e ^{t}}

(18)^{3}

e^{- 1.1}

2 λ e^{- λ t} (- e^{- λ t} + 1) (2 λ e^{- 2 λ t})

(3 x^{2} y) (5 x^{3} z)

(\frac{41.915}{93.67} (x - 58.13))^{2}

What is 4.22*e^{-t}cos(3) ?
The solution to 4.22*e^{-t}cos(3) is -(4.17776…)/(e^t)