1. Consider a population whose size at time t is N(t) and whose growth obeys the initial-value problem dN dt with N(0) = 100. %3D (a) Find N(t) by solving the initial-value problem. (b) Compute the cumulative change in population size between 1 =0 and t = 5. (c) Express the cumulative change in population size between time 0 and timet as an integral. Give a geometric interpretation of this quantity.

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