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Popular >

simplify e^{-t}sin(2t+t^2)

Solution

simplify

e^{- t} sin (2 t + t^{2})

Solution

\frac{sin ( t ^{2} + 2 t )}{e ^{t}}

Solution steps

e^{- t} sin (2 t + t^{2})

Apply exponent rule:

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

= \frac{1}{e ^{t}} sin (t^{2} + 2 t)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (2 t + t^{2}) = sin (2 t + t^{2})

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

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6321.1 \cdot 2.13 \cdot 1 0^{- 6}

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Frequently Asked Questions (FAQ)

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