What is 3se^{-st}(2ssin(3t)+cos(3t)) ?

The solution to 3se^{-st}(2ssin(3t)+cos(3t)) is (3s(2ssin(3t)+cos(3t)))/(e^{st)}

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simplify 3se^{-st}(2ssin(3t)+cos(3t))

simplify

3 s e^{- s t} (2 s sin (3 t) + cos (3 t))

\frac{3 s ( 2 s sin ( 3 t ) + cos ( 3 t ) )}{e ^{s t}}

Solution steps

3 s e^{- s t} (2 s sin (3 t) + cos (3 t))

Apply exponent rule:

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

= 3 \cdot \frac{1}{e ^{s t}} s (2 s sin (3 t) + cos (3 t))

Multiply fractions:

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

= \frac{1 \cdot 3 s ( 2 s sin ( 3 t ) + cos ( 3 t ) )}{e ^{s t}}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 s ( 2 s sin ( 3 t ) + cos ( 3 t ) )}{e ^{s t}}

11.64 \cdot 5000.55 \cdot 1 0^{- 3}

\frac{a + 2 b}{a - 2 b}

(0.5) (0.5) (\frac{2.326}{0.03})^{2}

(a^{2} b^{4} c^{7}) (a^{3} c^{5})

- x^{2} (x + 2)^{2} (x - 1)

What is 3se^{-st}(2ssin(3t)+cos(3t)) ?
The solution to 3se^{-st}(2ssin(3t)+cos(3t)) is (3s(2ssin(3t)+cos(3t)))/(e^{st)}