What is (4-1.5t)e^{-0.5t} ?

The solution to (4-1.5t)e^{-0.5t} is (-1.5t+4)/(e^{0.5t)}

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simplify (4-1.5t)e^{-0.5t}

simplify

(4 - 1.5 t) e^{- 0.5 t}

\frac{- 1.5 t + 4}{e ^{0.5 t}}

Solution steps

(4 - 1.5 t) e^{- 0.5 t}

Apply exponent rule:

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

= \frac{1}{e ^{0.5 t}} (- 1.5 t + 4)

Multiply fractions:

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

= \frac{1 \cdot ( 4 - 1.5 t )}{e ^{0.5 t}}

1 \cdot (4 - 1.5 t) = 4 - 1.5 t

= \frac{4 - 1.5 t}{e ^{0.5 t}}

1400 \cdot 4 π \cdot 1 0^{- 7} \cdot 15 \cdot 15

4 π (\frac{2}{3} t^{3} - 2 t^{2} + 3) (\frac{2}{3} t^{3} - 2 t^{2} + 3)

e^{- \frac{0.74 \cdot 12}{\frac{268}{32}}}

6 x 1 0^{- 3} \frac{5.3 x 1 0 ^{3}}{1 0 ^{- 9}}

(4 y^{7}) (5 y^{4})

What is (4-1.5t)e^{-0.5t} ?
The solution to (4-1.5t)e^{-0.5t} is (-1.5t+4)/(e^{0.5t)}