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8.(12pts)The (absolute) time rate of change of a certain rabbit population P is proportional to the...

8.(12pts)The (absolute) time rate of change of a certain rabbit population P is proportional to the cube root of P. At t=0 (months) the population is 1000 rabbits and is increasing at the rate of 50 rabbits per month. How many rabbits will be there six months later (i.e. at t=6)?

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