Question: Snow Pack The rate of change of the snow pack in an area in the Northwest Territories in Canada can be modeled by

\(\{t)=\left\{\begin{array}{l}0.00241 t+0.02905 \mathrm{~cm} \\ \text { per day } \\ 1.011 t^{2}-147.971 t+ \\ 5406.578 \mathrm{~cm} \text { per day } \quad \text { when } 72 \leq t \leq 76\end{array}\right.\)

where \(t\) is the number of days since April 1.

1. Evaluate \(\int_{0}^{70} s(t) d t\), and interpret your answer.
2. Evaluate \(\int_{72}^{76} s(t) d t\), and interpret your answer.
3. Explain why it is not possible to find the value of \(\int_{0}^{76} s(t) d t\)

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