MacQuarie Island is a small island about half-way between Antarctica and New Zealand. Between 2000 and 2006, the population of rabbits on the island rose from 4,000 to 130,000. Model the growth in the rabbit population R(t) at time t using an exponential growth model d R/dt = k R, where t = 0 corresponds to the year 2000. What is an appropriate value for the growth-rate parameter k, and what does this model predict for the population in the year 2010

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