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Suppose that N(t) = 10 + 2e-0.3 sint, t0 describes the size of a population (in millions) at time t (mea- sured in weeks).

Suppose that N(t) = 10 + 2e-0.3 sint, t0 describes the size of a population (in millions) at time t (mea- sured in weeks). (a) Use a graphing calculator to sketch the graph of N(t), and describe in words what you see. (b) Give lower and upper bounds on the size of the population; that is, find N and N such that, for all 0, N N(1) N (c) Use the sandwich theorem to find lim, N(t). 88

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