What is expand 18.75*(1-e^{-0.91*(t+0.01)}) ?

The solution to expand 18.75*(1-e^{-0.91*(t+0.01)}) is 18.75-18.75e^{-0.91t-0.0091}

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expand 18.75(1-e^{-0.91(t+0.01)})

expand

18.75 \cdot (1 - e^{- 0.91 \cdot (t + 0.01)})

18.75 - 18.75 e^{- 0.91 t - 0.0091}

Solution steps

18.75 (1 - e^{- 0.91 (t + 0.01)})

Apply the distributive law:

a (b - c) = ab - a c

a = 18.75, b = 1, c = e^{- 0.91 (t + 0.01)}

= 18.75 \cdot 1 - 18.75 e^{- 0.91 (t + 0.01)}

= 1 \cdot 18.75 - 18.75 e^{- 0.91 (t + 0.01)}

Simplify

1 \cdot 18.75 - 18.75 e^{- 0.91 (t + 0.01)} : 18.75 - 18.75 e^{- 0.91 t - 0.0091}

= 18.75 - 18.75 e^{- 0.91 t - 0.0091}

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cos (x) (- sin (x) + 1)

What is expand 18.75*(1-e^{-0.91*(t+0.01)}) ?
The solution to expand 18.75*(1-e^{-0.91*(t+0.01)}) is 18.75-18.75e^{-0.91t-0.0091}