The wolf population of a certain area has been growing at an annual rate proportional to the cube root of the population size. The population was estimated to be 1000 when first studied and then 1700 ten years later. a) Write and solve the differential equation that gives the population P of the wolves at time t. For the constants in your expression, either give exact values or round to three decimal places. P = b) In how many years from the initial study will the population reach 4000? Round your answer to the nearest tenth of a year.
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