What is 2e^{-1/2 t}sin(4pit) ?

The solution to 2e^{-1/2 t}sin(4pit) is (2sin(4pit))/(e^{t/2)}

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simplify 2e^{-1/2 t}sin(4pit)

simplify

2 e^{- \frac{1}{2} t} sin (4 π t)

\frac{2 sin ( 4 π t )}{e ^{\frac{t}{2}}}

Solution steps

2 e^{- \frac{1}{2} t} sin (4 π t)

Apply exponent rule:

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

= 2 \cdot \frac{1}{e ^{\frac{1}{2} t}} sin (4 π t)

\frac{1}{e ^{\frac{1}{2} t}} = \frac{1}{e ^{\frac{t}{2}}}

= 2 \cdot \frac{1}{e ^{\frac{t}{2}}} sin (4 π t)

Multiply fractions:

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

= \frac{1 \cdot 2 sin ( 4 π t )}{e ^{\frac{t}{2}}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 sin ( 4 π t )}{e ^{\frac{t}{2}}}

- 0.35 (6. 2^{- 2})

(22) \cdot 22

\frac{x ^{\frac{3}{5}}}{( 1 + x ) ^{\frac{3}{5}}}

e^{- 0.396}

33217 (1 + 0.01125)^{- 18}

What is 2e^{-1/2 t}sin(4pit) ?
The solution to 2e^{-1/2 t}sin(4pit) is (2sin(4pit))/(e^{t/2)}