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Name: Score: Math 148 Quiz 4: §8.2 Directions: Answer each question completely. credit, and circle your final answer. Show all work to receive full 1. Let N (t) denote the size of a population at time t ≥ 0 and suppose that dN N = 2N (N − 10) 1 − . dt 100 (a) Find all equilibria of this differential equation and determine their stability. (b) Suppose that the initial population size is N (0) = 40. Determine the limiting population size, lim N (t). t→∞ 1