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Popular >

simplify e^{-at}sin(b)t

Solution

simplify

e^{- a t} sin (b) t

Solution

\frac{t sin ( b )}{e ^{a t}}

Solution steps

e^{- a t} sin (b) t

Apply exponent rule:

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

= \frac{1}{e ^{a t}} t sin (b)

Multiply fractions:

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

= \frac{1 \cdot sin ( b ) t}{e ^{a t}}

Multiply:

1 \cdot sin (b) = sin (b)

= \frac{t sin ( b )}{e ^{a t}}

Popular Examples

simplify 1/(sqrt(2pi*1))e^{-((25-22.4)^2)/(2*1)}simplify

\frac{1}{2 π \cdot 1} e^{- \frac{( 25 - 22.4 ) ^{2}}{2 \cdot 1}}

simplify (x^4y^3)*(x^2y^3)simplify

(x^{4} y^{3}) \cdot (x^{2} y^{3})

simplify 8.44*10^{-2}simplify

8.44 \cdot 1 0^{- 2}

simplify sqrt(5/7)*sqrt(2/5)simplify

\frac{5}{7} \cdot \frac{2}{5}

simplify 3^3*9^{-2}0.2^2 simplify

3^{3} \cdot 9^{- 2} 0. 2^{2}

Frequently Asked Questions (FAQ)

What is e^{-at}sin(b)t ?
The solution to e^{-at}sin(b)t is (tsin(b))/(e^{at)}