Question: Decay The rate at which 15 grams of \({ }^{14} \mathrm{C}\) is decaying can be modeled by

where \(t\) is the number of years since the 15 grams began decaying.

1. How much of the \({ }^{14} \mathrm{C}\) will decay during the first 1000 years? during the fourth 1000 years?
2. How much of the \({ }^{14} \mathrm{C}\) will eventually decay?

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