What is (e^{-x})*(4sin(3t)) ?

The solution to (e^{-x})*(4sin(3t)) is (4sin(3t))/(e^x)

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simplify (e^{-x})*(4sin(3t))

simplify

(e^{- x}) \cdot (4 sin (3 t))

\frac{4 sin ( 3 t )}{e ^{x}}

Solution steps

(e^{- x}) (4 sin (3 t))

Apply exponent rule:

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

= 4 \cdot \frac{1}{e ^{x}} sin (3 t)

Multiply fractions:

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

= \frac{1 \cdot 4 sin ( 3 t )}{e ^{x}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 sin ( 3 t )}{e ^{x}}

300 (e^{0.5})^{t}

e^{- 0.7247}

(4 x + 7)^{2} (7 x + 4)^{2}

y^{^{'}}

What is (e^{-x})*(4sin(3t)) ?
The solution to (e^{-x})*(4sin(3t)) is (4sin(3t))/(e^x)