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Question: 37 in month 0 a small group of rabbits escapes...

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37. In month 0, a small group of rabbits escapes from a ship onto an island where there are no rabbits. The island rabbit population, p(t), in month t is given by 1000 I 19(0.9y (a) Evaluate p(0), p(10), p(50), and explain their mean p(t) - , t2 0. ing in terms of rabbits (b) Graph p(t) for 0 3 t s 100. Describe the graph in words. Does it suggest the growth in population you would expect among rabbits on an island? about the rabbit population? formula. (c) Estimate the range of p(t). What does this tell you (d) Explain how you can find the range of p(t) from its
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