What is 10cos(t)(e^{-3t}) ?

The solution to 10cos(t)(e^{-3t}) is (10cos(t))/(e^{3t)}

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simplify 10cos(t)(e^{-3t})

simplify

10 cos (t) (e^{- 3 t})

\frac{10 cos ( t )}{e ^{3 t}}

Solution steps

10 cos (t) (e^{- 3 t})

Apply exponent rule:

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

= 10 \cdot \frac{1}{e ^{3 t}} cos (t)

Multiply fractions:

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

= \frac{1 \cdot 10 cos ( t )}{e ^{3 t}}

Multiply the numbers:

1 \cdot 10 = 10

= \frac{10 cos ( t )}{e ^{3 t}}

(2 \cdot 1 0^{3}) (2.9 \cdot 1 0^{2})

\frac{( 0.16 ) ^{2}}{( 0.14 ) ^{2}}

\frac{d ^{2}}{d ^{2} x} (e^{- x}) ln (x)

4 π \cdot 1 0^{- 7} \cdot 20 \cdot \frac{1}{2 \cdot 0.02}

What is 10cos(t)(e^{-3t}) ?
The solution to 10cos(t)(e^{-3t}) is (10cos(t))/(e^{3t)}