Suppose a population P of rabbits satisfies the differential equation (dP/dt) = k P2, for a constant bo, and initially there are 5 rabbits. If their number is increasing at the rate of 2 rabbits per month when there are 25 rabbits, then which, if any, of the following statements is correct? a. According to this model the number of rabbits is 1000 at approximately 1.45 months. None of the given answers. According to this model the number of rabbits is 1250 at approximately 2.49 months. According to this model the number of rabbits increases indefinitely as time approaches d. 2.5 months. According to this model the number of rabbits increases during the first month and decreases le. thereafter. According to this model the number of rabbits increases during the first 2 months and stays the f. same thereafter.
Suppose a population P of rabbits satisfies the differential equation (dP/dt) = k P2, for a constant bo, and initially there are 5 rabbits. If their number is increasing at the rate of 2 rabbits per month when there are 25 rabbits, then which, if any, of the following statements is correct? a. According to this model the number of rabbits is 1000 at approximately 1.45 months. None of the given answers. According to this model the number of rabbits is 1250 at approximately 2.49 months. According to this model the number of rabbits increases indefinitely as time approaches d. 2.5 months. According to this model the number of rabbits increases during the first month and decreases le. thereafter. According to this model the number of rabbits increases during the first 2 months and stays the f. same thereafter.
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